diff --git a/CMakeLists.txt b/CMakeLists.txt
index c83f0e7bc4b7213b91fde901f7d04cdb9a51b3d8..6fc6e1673371ff3e43d7d55ae2d4891d26babe7f 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -7,6 +7,8 @@ if(GIT_FOUND)
   message("git found: ${GIT_EXECUTABLE}")
 endif()
 
+FIND_PACKAGE(MPI REQUIRED)
+
 MESSAGE(STATUS "lib4neuro CMake starting...")
 MESSAGE(STATUS "Using CMake ${CMAKE_VERSION}")
 
diff --git a/build_scripts/linux/linux_gcc_build_x64_debug_local.sh b/build_scripts/linux/linux_gcc_build_x64_debug_local.sh
index 48f8f7a1585a4d5640c6f1df22e8decbbadfb079..6cb7ed3a7544e5cd73aea51497f28058e85c7220 100755
--- a/build_scripts/linux/linux_gcc_build_x64_debug_local.sh
+++ b/build_scripts/linux/linux_gcc_build_x64_debug_local.sh
@@ -10,7 +10,7 @@ export LIB4NEURO_INCLUDE_DIR=${PWD}/../../include
 BUILD_EXAMPLES=yes
 
 # Should we build the unit-tests? (yes/no)
-BUILD_TESTS=yes
+BUILD_TESTS=no
 
 # Should we rebuild BOOST? (yes/no)
 #REBUILD_BOOST=yes
@@ -20,6 +20,8 @@ BUILD_LIB=yes
 # C++ compiler
 CXX_COMPILER="g++"
 C_COMPILER="gcc"
+CXX_COMPILER="mpicxx"
+C_COMPILER="mpicc"
 
 #**********************DO NOT CHANGE BEYOND THIS LINE****************************************
 if [ -z ${DEPENDENCIES_LINK_TYPE} ]; then DEPENDENCIES_LINK_TYPE=static; fi
diff --git a/build_scripts/linux/linux_gcc_build_x64_release_local.sh b/build_scripts/linux/linux_gcc_build_x64_release_local.sh
index 7154b57de7a084b3f2328b2cb62afe72f65719ae..bf9e623420796c7a72b5f37e410ab9c58d75e736 100755
--- a/build_scripts/linux/linux_gcc_build_x64_release_local.sh
+++ b/build_scripts/linux/linux_gcc_build_x64_release_local.sh
@@ -10,7 +10,7 @@ export LIB4NEURO_INCLUDE_DIR=${PWD}/../../include
 BUILD_EXAMPLES=yes
 
 # Should we build the unit-tests? (yes/no)
-BUILD_TESTS=yes
+BUILD_TESTS=no
 
 # Should we rebuild BOOST? (yes/no)
 #REBUILD_BOOST=yes
@@ -20,6 +20,8 @@ BUILD_LIB=yes
 # C++ compiler
 CXX_COMPILER="g++"
 C_COMPILER="gcc"
+CXX_COMPILER="mpicxx"
+C_COMPILER="mpicc"
 
 #**********************DO NOT CHANGE BEYOND THIS LINE****************************************
 if [ -z ${DEPENDENCIES_LINK_TYPE} ]; then DEPENDENCIES_LINK_TYPE=static; fi
diff --git a/build_scripts/load_salomon_modules.inc b/build_scripts/load_salomon_modules.inc
index 28b2350062acebaa91143238eb093c20f93d3e2a..8ff89dfc29d868bdb218f734cf19d37ccf738cb9 100644
--- a/build_scripts/load_salomon_modules.inc
+++ b/build_scripts/load_salomon_modules.inc
@@ -1,9 +1,10 @@
 ml CMake/3.13.1
 
-ml GCCcore/9.1.0
+ml GCC/8.2.0-2.31.1
 ml Armadillo
 ml Boost
 ml OpenBLAS
+ml OpenMPI/3.1.3-GCC-8.2.0-2.31.1
 
 export GIT_EXEC=/apps/all/git/2.8.0/libexec/git-core/git
 
diff --git a/data/HE21+T0.xyz b/data/HE21+T0.xyz
new file mode 100644
index 0000000000000000000000000000000000000000..63c0aa1e418efafe6abc819c4350321a9156e38e
--- /dev/null
+++ b/data/HE21+T0.xyz
@@ -0,0 +1,48 @@
+	2
+      
+          21
+ -0.11342169573665700     
+ He   1.0258969505574900       -1.1545469814788600        1.3631440686429499     
+ He  -1.2173234434674101       -1.0044351731788901        1.2062880631941200     
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+ He   1.4391021479464201        1.1718104418262401       -1.2120127143009700     
+ He   1.0495286658464600       -3.8025701102838600      -0.92252261364606403     
+ He  0.73321668536203100       -3.5305630971436601        3.9826565135306100     
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+          21
+ -0.11341845825949499     
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+ He -0.80544827465096902        6.0457082295810700        1.7847191241350070E-002
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diff --git a/data/HE21+T02.xyz b/data/HE21+T02.xyz
new file mode 100644
index 0000000000000000000000000000000000000000..875dcc1d70eaf353bca3d12ef4108ea4013b94aa
Binary files /dev/null and b/data/HE21+T02.xyz differ
diff --git a/data/HE21+T3.xyz b/data/HE21+T3.xyz
new file mode 100644
index 0000000000000000000000000000000000000000..07bccfd64d2b22c560ab859c4c0d1a7a4cbf5522
--- /dev/null
+++ b/data/HE21+T3.xyz
@@ -0,0 +1,23001 @@
+      1000
+          21
+ -0.11342169573665700     
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+          21
+ -0.11341845825949499     
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+          21
+ -0.11341639345187000     
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+          21
+ -0.11341583455586100     
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+ He  -6.1187324145106601        6.4765872062124501       -1.2396069695343701     
+          21
+ -0.11341626925817200     
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+          21
+ -0.11341359419670800     
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+          21
+ -0.11341056608534600     
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diff --git a/data/HE21+T4.xyz b/data/HE21+T4.xyz
new file mode 100644
index 0000000000000000000000000000000000000000..75e90aa1aea995ebbd876b283b2f0b0415093363
--- /dev/null
+++ b/data/HE21+T4.xyz
@@ -0,0 +1,46001 @@
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diff --git a/data/HE4+T0.xyz b/data/HE4+T0.xyz
new file mode 100644
index 0000000000000000000000000000000000000000..0af4da0fea93be0c5bb4bc6293fe711d11aa7e41
--- /dev/null
+++ b/data/HE4+T0.xyz
@@ -0,0 +1,58555 @@
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diff --git a/data/HE4+T1.xyz b/data/HE4+T0_000028.xyz
similarity index 100%
rename from data/HE4+T1.xyz
rename to data/HE4+T0_000028.xyz
diff --git a/data/HE4+T0_000050.xyz b/data/HE4+T0_000050.xyz
new file mode 100644
index 0000000000000000000000000000000000000000..fb1142b5d5411de922917fb89ad2073989b6e347
--- /dev/null
+++ b/data/HE4+T0_000050.xyz
@@ -0,0 +1,307 @@
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diff --git a/data/HE4+T0_000100.xyz b/data/HE4+T0_000100.xyz
new file mode 100644
index 0000000000000000000000000000000000000000..cbcd0c0a78acf6df3b8ca6f6d577d7202e890bed
--- /dev/null
+++ b/data/HE4+T0_000100.xyz
@@ -0,0 +1,619 @@
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diff --git a/data/HE4+T0_000200.xyz b/data/HE4+T0_000200.xyz
new file mode 100644
index 0000000000000000000000000000000000000000..128e4ae2b4103d4923925106e890e9ea8de15ac4
--- /dev/null
+++ b/data/HE4+T0_000200.xyz
@@ -0,0 +1,2431 @@
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diff --git a/data/HE4+T0_000400.xyz b/data/HE4+T0_000400.xyz
new file mode 100644
index 0000000000000000000000000000000000000000..b258bce455c0094d00eda7af0139cd264f8877a2
--- /dev/null
+++ b/data/HE4+T0_000400.xyz
@@ -0,0 +1,4831 @@
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diff --git a/data/HE4+T0_000800.xyz b/data/HE4+T0_000800.xyz
new file mode 100644
index 0000000000000000000000000000000000000000..8b6a16cfbc8f32bb996fa8c007d40fd47773384f
--- /dev/null
+++ b/data/HE4+T0_000800.xyz
@@ -0,0 +1,9643 @@
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diff --git a/data/HE4+T0_001600.xyz b/data/HE4+T0_001600.xyz
new file mode 100644
index 0000000000000000000000000000000000000000..dbdf8b4b20a8cdb2a2ee47d3c0c8cfa49547ab9d
--- /dev/null
+++ b/data/HE4+T0_001600.xyz
@@ -0,0 +1,19201 @@
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+           4
+   5.00000000000000       0.445596020875065     
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+           4
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+           4
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+           4
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+           4
+   5.00000000000000       0.499865722775410     
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+He   0.111656E+01  -0.562049E+00  -0.519387E+00   0.510600E-02
+           4
+   5.00000000000000       0.467868045070506     
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+He   0.936669E+00  -0.584304E+00  -0.496825E+00   0.333768E-04
+           4
+   5.00000000000000       0.459699645593283     
+He  -0.423895E+00   0.139344E+00   0.439694E+00   0.552812E+00
+He  -0.108565E+01  -0.406005E+00  -0.472259E+00   0.233231E+00
+He   0.518263E+00   0.532254E+00   0.130158E+01   0.209160E+00
+He   0.861524E+00  -0.594750E+00  -0.531658E+00   0.479627E-02
+           4
+   5.00000000000000       0.463139571791885     
+He  -0.350796E+00   0.223859E+00   0.349227E+00   0.548957E+00
+He  -0.107745E+01  -0.428355E+00  -0.599686E+00   0.179848E+00
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+He   0.115147E+01  -0.551181E+00  -0.644503E+00   0.563047E-02
+           4
+   5.00000000000000       0.383116577355691     
+He  -0.272860E+00   0.206060E+00   0.194762E+00   0.567419E+00
+He  -0.108637E+01  -0.447787E+00  -0.598886E+00   0.205544E+00
+He   0.395944E+00   0.536845E+00   0.129338E+01   0.205511E+00
+He   0.109417E+01  -0.634766E+00  -0.558133E+00   0.215256E-01
+           4
+   5.00000000000000       0.441406372435387     
+He  -0.256846E+00   0.165971E+00   0.252848E+00   0.558362E+00
+He  -0.115125E+01  -0.628496E+00  -0.602561E+00   0.145896E+00
+He   0.314178E+00   0.511229E+00   0.116079E+01   0.280299E+00
+He   0.111804E+01  -0.756307E+00  -0.611736E+00   0.154435E-01
+           4
+   5.00000000000000       0.632184508828077     
+He  -0.771780E-01   0.255755E+00   0.368795E+00   0.557690E+00
+He  -0.108035E+01  -0.522834E+00  -0.589965E+00   0.981176E-01
+He   0.279083E+00   0.571212E+00   0.123205E+01   0.313848E+00
+He   0.103421E+01  -0.669077E+00  -0.657347E+00   0.303451E-01
+           4
+   5.00000000000000       0.409168137608791     
+He  -0.367941E+00   0.219343E+00   0.287202E+00   0.555602E+00
+He  -0.120762E+01  -0.445749E+00  -0.640027E+00   0.167152E+00
+He   0.250447E+00   0.565610E+00   0.122413E+01   0.265541E+00
+He   0.104964E+01  -0.745331E+00  -0.555172E+00   0.117048E-01
+           4
+   5.00000000000000       0.581991547017356     
+He  -0.416609E+00   0.272695E+00   0.264861E+00   0.556203E+00
+He  -0.111456E+01  -0.529432E+00  -0.399363E+00   0.196064E+00
+He   0.246909E+00   0.698677E+00   0.106334E+01   0.238164E+00
+He   0.100393E+01  -0.434844E+00  -0.572522E+00   0.956802E-02
+           4
+   5.00000000000000       0.505769014269089     
+He  -0.247220E+00   0.318000E+00   0.260663E+00   0.561326E+00
+He  -0.124830E+01  -0.507204E+00  -0.485889E+00   0.126100E+00
+He   0.170567E+00   0.660594E+00   0.117610E+01   0.287607E+00
+He   0.103141E+01  -0.657986E+00  -0.616537E+00   0.249677E-01
+           4
+   5.00000000000000       0.469298662141730     
+He  -0.185159E+00   0.462387E+00   0.995389E-01   0.575832E+00
+He  -0.127781E+01  -0.530081E+00  -0.596218E+00   0.840061E-01
+He   0.550728E-01   0.823955E+00   0.111128E+01   0.276211E+00
+He   0.969916E+00  -0.438773E+00  -0.566503E+00   0.639507E-01
+           4
+   5.00000000000000       0.434334036037315     
+He  -0.229248E+00   0.395312E+00   0.145584E+00   0.576721E+00
+He  -0.128586E+01  -0.545490E+00  -0.620014E+00   0.101847E+00
+He   0.171449E+00   0.867530E+00   0.110664E+01   0.262047E+00
+He   0.102002E+01  -0.305645E+00  -0.570126E+00   0.593842E-01
+           4
+   5.00000000000000       0.466841907546277     
+He  -0.213943E+00   0.340080E+00  -0.203571E-02   0.580736E+00
+He  -0.123052E+01  -0.537655E+00  -0.590709E+00   0.142002E+00
+He   0.323431E+00   0.807031E+00   0.934800E+00   0.225873E+00
+He   0.106140E+01  -0.319247E+00  -0.640925E+00   0.513899E-01
+           4
+   5.00000000000000       0.407361173270503     
+He  -0.276704E+00   0.418331E+00   0.715510E-01   0.573674E+00
+He  -0.128767E+01  -0.547684E+00  -0.552966E+00   0.125907E+00
+He   0.265211E+00   0.970827E+00   0.960802E+00   0.259063E+00
+He   0.974542E+00  -0.437636E+00  -0.647736E+00   0.413566E-01
+           4
+   5.00000000000000       0.391495038818618     
+He  -0.343756E+00   0.383265E+00   0.761057E-02   0.579123E+00
+He  -0.100828E+01  -0.708319E+00  -0.551860E+00   0.170699E+00
+He   0.248379E+00   0.839639E+00   0.107092E+01   0.219090E+00
+He   0.103019E+01  -0.235819E+00  -0.716380E+00   0.310872E-01
+           4
+   5.00000000000000       0.349474397558990     
+He  -0.481274E+00   0.373555E+00   0.657129E-01   0.548564E+00
+He  -0.100873E+01  -0.689492E+00  -0.531351E+00   0.215168E+00
+He   0.231995E+00   0.101065E+01   0.935421E+00   0.232549E+00
+He   0.123887E+01  -0.334124E+00  -0.787959E+00   0.371815E-02
+           4
+   5.00000000000000       0.609353497002998     
+He  -0.445071E+00   0.446336E+00   0.211047E+00   0.541594E+00
+He  -0.988338E+00  -0.618902E+00  -0.465115E+00   0.170430E+00
+He   0.883471E-01   0.750978E+00   0.102358E+01   0.286402E+00
+He   0.123965E+01  -0.431760E+00  -0.554860E+00   0.157348E-02
+           4
+   5.00000000000000       0.412759292945361     
+He  -0.371605E+00   0.310546E+00   0.197874E+00   0.552657E+00
+He  -0.113073E+01  -0.684202E+00  -0.556186E+00   0.157225E+00
+He   0.174490E+00   0.996173E+00   0.927855E+00   0.279206E+00
+He   0.128914E+01  -0.386986E+00  -0.554750E+00   0.109114E-01
+           4
+   5.00000000000000       0.411545016202625     
+He  -0.238106E+00   0.464656E+00   0.197785E+00   0.563914E+00
+He  -0.107966E+01  -0.501951E+00  -0.610711E+00   0.123472E+00
+He   0.109369E+00   0.107365E+01   0.111127E+01   0.284732E+00
+He   0.108373E+01  -0.379745E+00  -0.725393E+00   0.278812E-01
+           4
+   5.00000000000000       0.442310278000436     
+He  -0.196259E+00   0.402762E+00   0.119166E+00   0.574242E+00
+He  -0.110936E+01  -0.602007E+00  -0.474502E+00   0.129152E+00
+He   0.306715E+00   0.930362E+00   0.102825E+01   0.255167E+00
+He   0.103199E+01  -0.327169E+00  -0.728314E+00   0.414395E-01
+           4
+   5.00000000000000       0.423201842363641     
+He  -0.456796E+00   0.319044E+00   0.316546E+00   0.549846E+00
+He  -0.101141E+01  -0.414344E+00  -0.593050E+00   0.210506E+00
+He   0.193913E+00   0.965976E+00   0.116082E+01   0.234162E+00
+He   0.114603E+01  -0.354281E+00  -0.521351E+00   0.548475E-02
+           4
+   5.00000000000000       0.389450169126471     
+He  -0.254578E+00   0.419960E+00   0.294138E+00   0.563636E+00
+He  -0.941680E+00  -0.528778E+00  -0.691180E+00   0.132370E+00
+He   0.273259E+00   0.100597E+01   0.121753E+01   0.284975E+00
+He   0.105858E+01  -0.340044E+00  -0.667378E+00   0.190191E-01
+           4
+   5.00000000000000       0.275665757853799     
+He  -0.432543E+00   0.413233E+00   0.338266E+00   0.545339E+00
+He  -0.115486E+01  -0.416359E+00  -0.587321E+00   0.192785E+00
+He   0.278174E+00   0.100492E+01   0.125570E+01   0.257742E+00
+He   0.119014E+01  -0.512603E+00  -0.758200E+00   0.413517E-02
+           4
+   5.00000000000000       0.349949492689780     
+He  -0.420986E+00   0.437366E+00   0.311373E+00   0.545662E+00
+He  -0.105140E+01  -0.278611E+00  -0.566616E+00   0.226318E+00
+He   0.310136E+00   0.113923E+01   0.113992E+01   0.223979E+00
+He   0.126733E+01  -0.422586E+00  -0.546368E+00   0.404036E-02
+           4
+   5.00000000000000       0.498519633368332     
+He  -0.300616E+00   0.285930E+00   0.324266E+00   0.555715E+00
+He  -0.956030E+00  -0.327394E+00  -0.553205E+00   0.201699E+00
+He   0.301496E+00   0.982328E+00   0.108670E+01   0.231925E+00
+He   0.115765E+01  -0.322292E+00  -0.617373E+00   0.106606E-01
+           4
+   5.00000000000000       0.333007816281365     
+He  -0.338043E+00   0.314016E+00   0.149123E+00   0.571373E+00
+He  -0.121960E+01  -0.456814E+00  -0.544774E+00   0.191797E+00
+He   0.270142E+00   0.104176E+01   0.112239E+01   0.200767E+00
+He   0.105288E+01  -0.361673E+00  -0.655896E+00   0.360632E-01
+           4
+   5.00000000000000       0.549307748231246     
+He  -0.371142E+00   0.237800E+00   0.210990E+00   0.566677E+00
+He  -0.103169E+01  -0.281652E+00  -0.586087E+00   0.219346E+00
+He   0.240952E+00   0.103183E+01   0.102349E+01   0.191610E+00
+He   0.981966E+00  -0.334379E+00  -0.595943E+00   0.223671E-01
+           4
+   5.00000000000000       0.556785235327829     
+He  -0.515456E+00   0.367857E+00   0.227624E+00   0.537584E+00
+He  -0.909954E+00  -0.394886E+00  -0.477454E+00   0.256821E+00
+He   0.215257E+00   0.895488E+00   0.112180E+01   0.205170E+00
+He   0.113499E+01  -0.358177E+00  -0.656344E+00   0.424300E-03
+           4
+   5.00000000000000       0.344200834887055     
+He  -0.436440E+00   0.304401E+00   0.301032E+00   0.554113E+00
+He  -0.119486E+01  -0.453291E+00  -0.444744E+00   0.221807E+00
+He   0.321667E+00   0.100213E+01   0.114421E+01   0.213831E+00
+He   0.113286E+01  -0.414526E+00  -0.632537E+00   0.102489E-01
diff --git a/include/4neuro.h b/include/4neuro.h
index c963a773017eb617fbbc8a1074e8ae38ae973615..1dee0f40421e3300a90e029fcafe3e059c342ef4 100644
--- a/include/4neuro.h
+++ b/include/4neuro.h
@@ -1,8 +1,15 @@
+
 #ifndef INC_4NEURO_4NEURO_H
 #define INC_4NEURO_4NEURO_H
 
 //TODO make only public interface visible
 
+#include "../src/constants.h"
+#include "../src/message.h"
+#include "../src/settings.h"
+#include "../src/exceptions.h"
+#include "../src/mpi_wrapper.h"
+
 #include "../src/DataSet/DataSet.h"
 #include "../src/Network/NeuralNetwork.h"
 #include "../src/Network/NeuralNetworkSum.h"
@@ -26,11 +33,11 @@
 #include "../src/LearningMethods/GradientDescentSingleItem.h"
 #include "../src/LearningMethods/LearningSequence.h"
 #include "../src/LearningMethods/LevenbergMarquardt.h"
+#include "../src/LearningMethods/LazyLearning.h"
 #include "../src/LearningMethods/RandomSolution.h"
 #include "../src/Reader/CSVReader.h"
 #include "../src/Reader/XYZReader.h"
 #include "../src/CrossValidator/CrossValidator.h"
-#include "../src/constants.h"
 #include "../src/Coordinates/coordinates.h"
 #include "../src/LearningMethods/NelderMead.h"
 #include "../src/SymmetryFunction/ACSFParametersOptimizer.h"
diff --git a/run_devsandbox_queue.sh b/run_devsandbox_queue.sh
new file mode 100755
index 0000000000000000000000000000000000000000..636e56f0bc3f54f24f9a2755a9bde4fa70979620
--- /dev/null
+++ b/run_devsandbox_queue.sh
@@ -0,0 +1,17 @@
+#!/bin/sh
+#PBS -N STDIN
+#PBS -l select=1:ncpus=24:mpiprocs=1:ompthreads=24
+#PBS -l walltime=08:00:00
+#PBS -q qprod
+#PBS -A OPEN-15-10
+
+
+cd $PBS_O_WORKDIR/
+source ./build_scripts/load_salomon_modules.inc
+cd ./build/examples
+./dev_sandbox > out.txt
+cd ../..
+
+
+
+
diff --git a/run_test.sh b/run_test.sh
new file mode 100755
index 0000000000000000000000000000000000000000..8e8998dfe9fd6e3814dc30b371fdff6945c51479
--- /dev/null
+++ b/run_test.sh
@@ -0,0 +1,6 @@
+#!/bin/sh
+#./build_scripts/compile_salomon.sh
+source ./build_scripts/load_salomon_modules.inc
+cd ./build/examples
+mpirun -np 2 ./dev_sandbox
+cd ../.. 
diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt
index 865ac0bd50b8c578574db06064b1e8c78847050b..5602cd3fc8a562d8165b8a3f5cc59ef5c1312c9b 100644
--- a/src/CMakeLists.txt
+++ b/src/CMakeLists.txt
@@ -103,6 +103,7 @@ IF("${BUILD_LIB}" STREQUAL "yes")
         LearningMethods/GradientDescent.cpp
         LearningMethods/LevenbergMarquardt.cpp
         LearningMethods/GradientDescentBB.cpp
+        LearningMethods/LazyLearning.cpp
         DataSet/DataSet.cpp
         ErrorFunction/ErrorFunctions.cpp
         Solvers/DESolver.cpp
@@ -121,6 +122,7 @@ IF("${BUILD_LIB}" STREQUAL "yes")
         Coordinates/coordinates.cpp
         LearningMethods/NelderMead.cpp
         SymmetryFunction/ACSFParametersOptimizer.cpp
+        mpi_wrapper.cpp
     )
 
     # Detect Threading library
diff --git a/src/CrossValidator/CrossValidator.cpp b/src/CrossValidator/CrossValidator.cpp
index 5ba768f53ee84a76f6d12d94a6449217f0e218d6..22753f6faa46e7c00ba4a3e393e9654ca1523d5f 100644
--- a/src/CrossValidator/CrossValidator.cpp
+++ b/src/CrossValidator/CrossValidator.cpp
@@ -1,6 +1,7 @@
 
 #include "CrossValidator.h"
 #include "message.h"
+#include "../mpi_wrapper.h"
 
 namespace lib4neuro {
     LIB4NEURO_API CrossValidator::CrossValidator(LearningMethod* optimizer,
@@ -15,6 +16,11 @@ namespace lib4neuro {
         //TODO do not duplicate code - write in a more elegant way
         //NeuralNetwork* net = this->ef->get_network_instance();
 
+        //TODO MPI incorporation is non-existent
+        if( lib4neuro::mpi_rank > 0 ){
+            return;
+        }
+
         double cv_err_sum = 0;
 
         for (unsigned int i = 0; i < tests_number; i++) {
@@ -45,6 +51,11 @@ namespace lib4neuro {
     LIB4NEURO_API void CrossValidator::run_k_fold_test(unsigned int k,
                                                        unsigned int tests_number,
                                                        std::string results_file_path) {
+        //TODO MPI incorporation is non-existent
+        if( lib4neuro::mpi_rank > 0 ){
+            return;
+        }
+
         double cv_err_sum = 0;
 
         for (unsigned int i = 0; i < tests_number; i++) {
diff --git a/src/DataSet/DataSet.cpp b/src/DataSet/DataSet.cpp
index 7e55aaae3d04947a475666c8f69f21aceaaab076..8a8871913b5d06f047f9e0e6854ab52dc342a13c 100644
--- a/src/DataSet/DataSet.cpp
+++ b/src/DataSet/DataSet.cpp
@@ -1,11 +1,16 @@
 
 #include <algorithm>
+#include <limits>
+#include <vector>
+
+#include "../mpi_wrapper.h"
 
 #include <armadillo>
 #include <boost/serialization/export.hpp>
 
 #include "DataSetSerialization.h"
 #include "exceptions.h"
+#include "../message.h"
 #include "DataSet.h"
 
 
@@ -20,23 +25,168 @@ namespace lib4neuro {
         this->normalization_strategy = std::make_shared<DoubleUnitStrategy>(DoubleUnitStrategy());
     }
 
-    DataSet::DataSet(std::string file_path) {
-        std::ifstream ifs(file_path);
-        if (ifs.is_open()) {
-            try {
-                boost::archive::text_iarchive ia(ifs);
-                ia >> *this;
+    void DataSet::MPI_redistribute_data( ){
+        COUT_INFO("Shuffling DataSet among " << lib4neuro::mpi_nranks << " MPI processes...");
+        size_t local_len = this->data.size();
+        std::vector<int> n_entries_per_process( lib4neuro::mpi_nranks );
+        std::fill(n_entries_per_process.begin(), n_entries_per_process.end(), 0);
+
+        n_entries_per_process[ lib4neuro::mpi_rank ] = local_len;
+        MPI_Allreduce( MPI_IN_PLACE, &n_entries_per_process[0], n_entries_per_process.size(), MPI_INT, MPI_SUM, lib4neuro::mpi_active_comm );
+
+        std::vector<int> n_target_entries_per_process( lib4neuro::mpi_nranks );
+        int total_n_entries = 0;
+        for( auto el: n_entries_per_process ){
+            total_n_entries += el;
+        }
+
+        int remainder = total_n_entries % lib4neuro::mpi_nranks;
+        int base = total_n_entries / lib4neuro::mpi_nranks;
+        for( int i = 0; i < n_target_entries_per_process.size(); ++i ){
+            n_target_entries_per_process[ i ] = base;
+            if( i < remainder ){
+                n_target_entries_per_process[ i ]++;
             }
-            catch (boost::archive::archive_exception& e) {
-                THROW_RUNTIME_ERROR(
-                    "Serialized archive error: '" + e.what() + "'! Please, check if your file is really "
-                                                               "the serialized DataSet.");
+        }
+
+        std::vector<std::vector<int>> transfer_matrix(lib4neuro::mpi_nranks);
+        for( int i = 0; i < lib4neuro::mpi_nranks; ++i ){
+            transfer_matrix[ i ].resize(lib4neuro::mpi_nranks);
+            std::fill(transfer_matrix[ i ].begin(), transfer_matrix[ i ].end(), 0);
+        }
+
+        for( int sender_proc = 0; sender_proc < lib4neuro::mpi_nranks; ++sender_proc ){
+            int entries_to_send = n_entries_per_process[ sender_proc ] - n_target_entries_per_process[ sender_proc ];
+            if( entries_to_send <= 0 ){
+                continue;
+            }
+
+            for( int recieve_proc = 0; recieve_proc < lib4neuro::mpi_nranks; ++recieve_proc ){
+                if( recieve_proc == sender_proc ){
+                    continue;
+                }
+
+                int entries_equalized = n_entries_per_process[ recieve_proc ];
+
+                if( entries_equalized == n_target_entries_per_process[recieve_proc] ){
+                    //nothing left to do
+                    continue;
+                }
+
+                int missing_entries = n_target_entries_per_process[ recieve_proc ] - entries_equalized;
+                transfer_matrix[ sender_proc ][ recieve_proc ] = std::min( missing_entries, entries_to_send );
+                transfer_matrix[ recieve_proc ][ sender_proc ] = -transfer_matrix[ sender_proc ][ recieve_proc ];
+
+                entries_to_send -= transfer_matrix[ sender_proc ][ recieve_proc ];
+                n_entries_per_process[ recieve_proc ] += transfer_matrix[ sender_proc ][ recieve_proc ];
+
+                if(entries_to_send == 0){
+                    break;
+                }
             }
-            ifs.close();
-        } else {
-            THROW_RUNTIME_ERROR("File " + file_path + " couldn't be open!");
         }
 
+//        if( lib4neuro::mpi_rank == 0 ){
+//            std::cout << "Transfer matrix" << std::endl;
+//            for( int sender_proc = 0; sender_proc < lib4neuro::mpi_nranks; ++sender_proc ){
+//                for( int recieve_proc = 0; recieve_proc < lib4neuro::mpi_nranks; ++recieve_proc ){
+//                    std::cout << "[" << transfer_matrix[ sender_proc ][ recieve_proc ] << "]";
+//                }
+//                std::cout << std::endl;
+//            }
+//            std::cout << std::endl;
+//        }
+
+        //TODO can be optimized
+        /* do we send some data? */
+        size_t item_idx_to_send = n_target_entries_per_process[lib4neuro::mpi_rank];
+        for( int recieve_proc = 0; recieve_proc < lib4neuro::mpi_nranks; ++recieve_proc ){
+            if( transfer_matrix[lib4neuro::mpi_rank][recieve_proc] > 0 ){
+                size_t len = transfer_matrix[lib4neuro::mpi_rank][recieve_proc];
+                std::vector<double> data_vector;
+                data_vector.reserve(len * (this->input_dim + this->output_dim));
+
+                for( size_t item_idx = item_idx_to_send; item_idx < item_idx_to_send + len; ++item_idx ){
+                    for( auto val: this->data[ item_idx ].first ){
+                        data_vector.push_back( val );
+                    }
+                    for( auto val: this->data[ item_idx ].second ){
+                        data_vector.push_back( val );
+                    }
+                }
+
+//                std::cout << "MPI " << lib4neuro::mpi_rank << " sending " << data_vector.size() << " entries to MPI " << recieve_proc << std::endl;
+
+                MPI_Send(&data_vector[0], data_vector.size(), MPI_DOUBLE, recieve_proc, 0, lib4neuro::mpi_active_comm );
+
+                item_idx_to_send += len;
+            }
+        }
+
+        /* do we recieve some data? */
+        for( int sender_proc = 0; sender_proc < lib4neuro::mpi_nranks; ++sender_proc ){
+            if( transfer_matrix[lib4neuro::mpi_rank][sender_proc] < 0 ){
+                size_t len = -transfer_matrix[lib4neuro::mpi_rank][sender_proc];
+                std::vector<double> data_vector(len * (this->input_dim + this->output_dim));
+
+//                std::cout << "MPI " << lib4neuro::mpi_rank << " receiving " << data_vector.size() << " entries from MPI " << sender_proc << std::endl;
+
+                MPI_Recv(&data_vector[0], data_vector.size(), MPI_DOUBLE, sender_proc, 0, lib4neuro::mpi_active_comm, MPI_STATUS_IGNORE );
+
+
+                for( size_t i = 0; i < len; ++i ){
+                    std::vector<double> inp(this->input_dim);
+                    std::vector<double> out(this->output_dim);
+
+                    size_t first_t = i * (this->input_dim + this->output_dim);
+                    for( size_t j = first_t; j < first_t + this->input_dim; ++j ){
+                        inp[j - first_t] = data_vector[ j ];
+                    }
+
+                    first_t += this->input_dim;
+                    for( size_t j = first_t; j < first_t + this->output_dim; ++j ){
+                        out[j - first_t] = data_vector[ j ];
+                    }
+
+                    this->data.emplace_back(std::make_pair(inp, out));
+                }
+            }
+        }
+        this->data.resize(n_target_entries_per_process[lib4neuro::mpi_rank]);
+
+        this->n_elements = this->data.size();
+        COUT_INFO("Shuffling finished!");
+        std::cout << "MPI[" << lib4neuro::mpi_rank << "] -> " << this->n_elements << " data entries" << std::endl;
+    }
+
+    void DataSet::MPI_gather_data_on_master( ){
+        size_t local_len = this->data.size();
+        std::cout << "MPI[" << lib4neuro::mpi_rank << "] -> " << local_len << " data entries" << std::endl;
+    }
+
+    DataSet::DataSet(std::string file_path) {
+        if( lib4neuro::mpi_rank == 0 ){
+            std::ifstream ifs(file_path);
+            if (ifs.is_open()) {
+                try {
+                    boost::archive::text_iarchive ia(ifs);
+                    ia >> *this;
+                }
+                catch (boost::archive::archive_exception& e) {
+                    MPI_INTERRUPT
+                    THROW_RUNTIME_ERROR(
+                        "Serialized archive error: '" + e.what() + "'! Please, check if your file is really "
+                                                                   "the serialized DataSet.");
+                }
+                ifs.close();
+            } else {
+                MPI_INTERRUPT
+                THROW_RUNTIME_ERROR("File " + file_path + " couldn't be open!");
+            }
+        }
+        MPI_ERROR_CHECK
+        this->MPI_redistribute_data( );
+
         this->normalization_strategy = std::make_shared<DoubleUnitStrategy>(DoubleUnitStrategy());
     }
 
@@ -57,6 +207,20 @@ namespace lib4neuro {
         //TODO check the complete data set for input/output dimensions
     }
 
+    DataSet::DataSet(size_t inp_dim, size_t out_dim, NormalizationStrategy* ns) {
+        this->n_elements = 0;
+        this->input_dim  = inp_dim;
+        this->output_dim = out_dim;
+
+        if (ns) {
+            std::shared_ptr<NormalizationStrategy> ns_tmp;
+            ns_tmp.reset(ns);
+            this->normalization_strategy = ns_tmp;
+        }
+
+        //TODO check the complete data set for input/output dimensions
+    }
+
     DataSet::DataSet(double lower_bound,
                      double upper_bound,
                      unsigned int size,
@@ -122,8 +286,10 @@ namespace lib4neuro {
         }
 
         if (inputs.size() != this->input_dim) {
+            MPI_INTERRUPT
             THROW_RUNTIME_ERROR("Bad input dimension.");
         } else if (outputs.size() != this->output_dim) {
+            MPI_INTERRUPT
             THROW_RUNTIME_ERROR("Bad output dimension.");
         }
 
@@ -138,18 +304,22 @@ namespace lib4neuro {
                                      double output) {
 
         if (this->input_dim != 1 || this->output_dim != 1) {
+            MPI_INTERRUPT
             THROW_RUNTIME_ERROR("Cannot add data with dimensionality 1:1 when the data set "
                                 "is of different dimensionality!");
         }
+        MPI_ERROR_CHECK
 
         double frac;
         if (size < 1) {
+            MPI_INTERRUPT
             THROW_INVALID_ARGUMENT_ERROR("Size of added data has to be >=1 !");
         } else if (size == 1) {
             frac = 1;
         } else {
             frac = (upper_bound - lower_bound) / (size - 1);
         }
+        MPI_ERROR_CHECK
 
         std::vector<double> inp, out;
 
@@ -173,8 +343,10 @@ namespace lib4neuro {
         std::vector<double>              tmp;
         double                           frac;
         if (no_elems_in_one_dim < 1) {
+            MPI_INTERRUPT
             THROW_INVALID_ARGUMENT_ERROR("Number of elements in one dimension has to be >=1 !");
         }
+        MPI_ERROR_CHECK
 
         for (unsigned int i = 0; i < bounds.size(); i += 2) {
             if (no_elems_in_one_dim == 1) {
@@ -218,62 +390,80 @@ namespace lib4neuro {
 
     void DataSet::print_data() {
         if (n_elements) {
-            std::cout << "No. of elements: " << n_elements << std::endl;
-            for (auto p : this->data) {
-                /* INPUT */
-                for (auto v : std::get<0>(p)) {
-                    std::cout << v << " ";
-                }
-
-                std::cout << "-> ";
-
-                /* OUTPUT */
-                for (auto v : std::get<1>(p)) {
-                    std::cout << v << " ";
+            for( int i = 0; i < lib4neuro::mpi_nranks; ++i ){
+                if( lib4neuro::mpi_rank == i ){
+                    for (auto p : this->data) {
+                        /* INPUT */
+                        for (auto v : std::get<0>(p)) {
+                            std::cout << v << " ";
+                        }
+
+                        std::cout << "-> ";
+
+                        /* OUTPUT */
+                        for (auto v : std::get<1>(p)) {
+                            std::cout << v << " ";
+                        }
+
+                        std::cout << std::endl;
+                    }
                 }
-
-                std::cout << std::endl;
+                MPI_Barrier( lib4neuro::mpi_active_comm );
             }
         }
     }
 
     void DataSet::store_text(std::string file_path) {
-        std::ofstream ofs(file_path);
+        this->MPI_gather_data_on_master( );
 
-        if (!ofs.is_open()) {
-            THROW_RUNTIME_ERROR("File " + file_path + " couldn't be open!");
-        } else {
-            boost::archive::text_oarchive oa(ofs);
-            oa << *this;
-            ofs.close();
+        if( lib4neuro::mpi_rank == 0 ){
+            std::ofstream ofs(file_path);
+
+            if (!ofs.is_open()) {
+                MPI_INTERRUPT
+                THROW_RUNTIME_ERROR("File " + file_path + " couldn't be opened!");
+            } else {
+                boost::archive::text_oarchive oa(ofs);
+                oa << *this;
+                ofs.close();
+            }
         }
+        MPI_ERROR_CHECK
     }
 
     void DataSet::store_data_text(std::ofstream* file_path) {
-        for (auto e : this->data) {
-            /* First part of the pair */
-            for (unsigned int i = 0; i < e.first.size() - 1; i++) {
-                *file_path << this->get_denormalized_value(e.first.at(i)) << ",";
-            }
-            *file_path << this->get_denormalized_value(e.first.back()) << " ";
+        if( lib4neuro::mpi_rank == 0 ){
+            for (auto e : this->data) {
+                /* First part of the pair */
+                for (unsigned int i = 0; i < e.first.size() - 1; i++) {
+                    *file_path << this->get_denormalized_value(e.first.at(i)) << ",";
+                }
+                *file_path << this->get_denormalized_value(e.first.back()) << " ";
 
-            /* Second part of the pair */
-            for (unsigned int i = 0; i < e.second.size() - 1; i++) {
-                *file_path << this->get_denormalized_value(e.second.at(i)) << ",";
+                /* Second part of the pair */
+                for (unsigned int i = 0; i < e.second.size() - 1; i++) {
+                    *file_path << this->get_denormalized_value(e.second.at(i)) << ",";
+                }
+                *file_path << this->get_denormalized_value(e.second.back()) << std::endl;
             }
-            *file_path << this->get_denormalized_value(e.second.back()) << std::endl;
         }
     }
 
     void DataSet::store_data_text(std::string file_path) {
-        std::ofstream ofs(file_path);
+        this->MPI_gather_data_on_master( );
 
-        if (!ofs.is_open()) {
-            THROW_RUNTIME_ERROR("File " + file_path + " couldn't be open!");
-        } else {
-            this->store_data_text(&ofs);
-            ofs.close();
+        if( lib4neuro::mpi_rank == 0 ){
+            std::ofstream ofs(file_path);
+
+            if (!ofs.is_open()) {
+                MPI_INTERRUPT
+                THROW_RUNTIME_ERROR("File " + file_path + " couldn't be opened!");
+            } else {
+                this->store_data_text(&ofs);
+                ofs.close();
+            }
         }
+        MPI_ERROR_CHECK
     }
 
     template<class T>
@@ -316,10 +506,9 @@ namespace lib4neuro {
         }
 
         /* Find maximum and minimum values */
-        if (this->max_min_inp_val.empty()) {
-            this->max_min_inp_val.emplace_back(this->data.at(0).first.at(0));
-            this->max_min_inp_val.emplace_back(this->data.at(0).first.at(0));
-        }
+        this->max_min_inp_val.resize( 2 );
+        this->max_min_inp_val[0] = 0.0;
+        this->max_min_inp_val[1] = std::numeric_limits<double>::max();
 
         double    tmp, tmp2;
         for (auto pair : this->data) {
@@ -330,13 +519,7 @@ namespace lib4neuro {
             tmp2 = *std::max_element(pair.second.begin(),
                                      pair.second.end());
 
-            tmp = std::max(tmp,
-                           tmp2);
-
-            /* Testing for a new maxima */
-            if (tmp > this->max_min_inp_val.at(0)) {
-                this->max_min_inp_val.at(0) = tmp;
-            }
+            this->max_min_inp_val.at(0) = std::max(this->max_min_inp_val.at(0), std::max(tmp, tmp2));
 
             /* Finding minimum */
             tmp  = *std::min_element(pair.first.begin(),
@@ -344,14 +527,10 @@ namespace lib4neuro {
             tmp2 = *std::min_element(pair.second.begin(),
                                      pair.second.end());
 
-            tmp = std::min(tmp,
-                           tmp2);
-
-            /* Testing for a new minima */
-            if (tmp < this->max_min_inp_val.at(1)) {
-                this->max_min_inp_val.at(1) = tmp;
-            }
+            this->max_min_inp_val.at(0) = std::min(this->max_min_inp_val.at(0), std::min(tmp, tmp2));
         }
+        MPI_Allreduce( MPI_IN_PLACE, &this->max_min_inp_val[0], 1, MPI_DOUBLE, MPI_MAX, lib4neuro::mpi_active_comm);
+        MPI_Allreduce( MPI_IN_PLACE, &this->max_min_inp_val[1], 1, MPI_DOUBLE, MPI_MIN, lib4neuro::mpi_active_comm);
 
         /* Normalize every number in the data set */
         for (auto& pair : this->data) {
@@ -489,7 +668,7 @@ namespace lib4neuro {
             return newData;
         }
     }
-	
+
 	void DataSet::add_zero_output_columns(size_t n_columns)
 	{
 		for (size_t i = 0; i < this->n_elements; i++)
@@ -524,22 +703,4 @@ namespace lib4neuro {
 //        this->outputs_matrix = &m;
         return this->outputs_matrix;
     }
-
-    std::vector<std::pair<std::vector<double>, std::vector<double>>> DataSet::get_next_data_batch(size_t max) {
-        if(this->last_batch_vector_ind == 0) {
-            unsigned seed = std::chrono::system_clock::now().time_since_epoch().count();
-            this->permutation_data = this->data;
-            std::shuffle(this->permutation_data.begin(), this->permutation_data.end(), std::default_random_engine(seed));
-        }
-
-        unsigned int tmp_i = this->last_batch_vector_ind;
-        if(this->last_batch_vector_ind+max >= this->data.size()) {
-            tmp_i = this->last_batch_vector_ind;
-            this->last_batch_vector_ind = 0;
-            return std::vector<std::pair<std::vector<double>, std::vector<double>>>(this->permutation_data.begin()+tmp_i, this->permutation_data.end());
-        }
-
-        this->last_batch_vector_ind += max;
-        return std::vector<std::pair<std::vector<double>, std::vector<double>>>(this->permutation_data.begin()+tmp_i, this->permutation_data.begin()+tmp_i+max);
-    }
 }
diff --git a/src/DataSet/DataSet.h b/src/DataSet/DataSet.h
index 32a0606d4d4af15b5d3dd6a70aec0f067f41f084..b6de53c09ee77a63c8b6888026319d42fd0d012a 100644
--- a/src/DataSet/DataSet.h
+++ b/src/DataSet/DataSet.h
@@ -82,6 +82,7 @@ namespace lib4neuro {
 
         unsigned int last_batch_vector_ind = 0;
 
+
     public:
 
         /**
@@ -108,6 +109,12 @@ namespace lib4neuro {
         LIB4NEURO_API DataSet(std::vector<std::pair<std::vector<double>, std::vector<double>>>* data_ptr,
                               NormalizationStrategy* ns = nullptr);
 
+        /**
+         * Constructs and empty data set of the given dimension
+         */
+        LIB4NEURO_API DataSet(size_t inp_dim, size_t out_dim,
+                              NormalizationStrategy* ns = nullptr);
+
         /**
          * Creates a new data set with input values equidistantly positioned
          * over the certain interval and the output value
@@ -253,7 +260,7 @@ namespace lib4neuro {
         LIB4NEURO_API double get_normalized_value(double val);
 
         /**
-         * 
+         *
          * @param val
          * @return
          */
@@ -337,11 +344,23 @@ namespace lib4neuro {
         LIB4NEURO_API std::vector<std::pair<std::vector<double>, std::vector<double>>> get_next_data_batch(size_t max);
 
 		/**
-		 * Adds a new output column filled with zeros 
+		 * Adds a new output column filled with zeros
 		 * @param n_columns Number of columns to be inserted
 		 */
 		LIB4NEURO_API void add_zero_output_columns(size_t n_columns);
 
+        /*
+        takes the data on all processes and makes it so that each MPI process
+        has roughly the same number of data entries
+        */
+        LIB4NEURO_API void MPI_redistribute_data( );
+
+        /*
+        gather all data entries on the master process
+        */
+        LIB4NEURO_API void MPI_gather_data_on_master( );
+
+
         [[nodiscard]] LIB4NEURO_API arma::Mat<double>* get_inputs_matrix();
 
         [[nodiscard]] LIB4NEURO_API arma::Mat<double>* get_outputs_matrix();
diff --git a/src/ErrorFunction/ErrorFunctions.cpp b/src/ErrorFunction/ErrorFunctions.cpp
index d378f7d0c868b5181519f90c86df72ca8853590c..fa05fbcdec221a2b1a376f965cf8cd47c4fc974f 100644
--- a/src/ErrorFunction/ErrorFunctions.cpp
+++ b/src/ErrorFunction/ErrorFunctions.cpp
@@ -1,5 +1,6 @@
 
 #include <vector>
+#include <utility>
 #include <cmath>
 #include <sstream>
 #include <boost/random/mersenne_twister.hpp>
@@ -8,6 +9,7 @@
 #include "ErrorFunctions.h"
 #include "exceptions.h"
 #include "message.h"
+#include "../mpi_wrapper.h"
 
 namespace lib4neuro {
 
@@ -27,7 +29,7 @@ namespace lib4neuro {
         this->ds = ds;
     }
 
-    void MSE::divide_data_train_test(double percent_test) {
+    void ErrorFunction::divide_data_train_test(double percent_test) {
         size_t ds_size = this->ds->get_n_elements();
 
         /* Store the full data set */
@@ -73,9 +75,67 @@ namespace lib4neuro {
                                     this->ds_full->get_normalization_strategy());
     }
 
-    void MSE::return_full_data_set_for_training() {
-        if (this->ds_test) {
+    size_t ErrorFunction::divide_data_worst_subset(
+            std::vector<size_t> &subset_indices,
+            std::vector<bool> &active_subset,
+            std::vector<float> &entry_errors
+    ) {
+        if( this->ds_full == nullptr ){
+            this->ds_full = this->ds;
+        }
+        size_t ds_size = this->ds_full->get_n_elements();
+
+        if( entry_errors.size() != ds_size ){
+            entry_errors.resize( ds_size );
+        }
+
+        if( active_subset.size() != ds_size ){
+            active_subset.resize( ds_size );
+            std::fill(active_subset.begin(), active_subset.end(), false);
+        }
+
+        std::vector<double> error_vector( this->get_n_outputs());
+        for( size_t i = 0; i < ds_size; ++i ) {
+            entry_errors[ i ] = this->eval_single_item_by_idx( i, nullptr, error_vector );
+        }
+
+        std::vector<std::pair<std::vector<double>, std::vector<double>>> train_set;
+        double max_error = -1.0;
+        size_t max_error_entry_idx = 0;
+        for( size_t i = 0; i < ds_size; ++i ){
+            if( active_subset[ i ] ){
+                continue;
+            }
+
+            if( entry_errors[ i ] > max_error ){
+                max_error = entry_errors[ i ];
+                max_error_entry_idx = i;
+            }
+        }
+        if( max_error >= 0.0 ){
+            subset_indices.push_back( max_error_entry_idx );
+            active_subset[max_error_entry_idx] = true;
+        }
+
+        for( auto el: subset_indices ){
+            train_set.emplace_back( this->ds_full->get_data( )->at( el ) );
+        }
+
+        if( this->ds != this->ds_full ){
+            delete this->ds;
+        }
+        this->ds = new DataSet(&train_set,
+                           this->ds_full->get_normalization_strategy());
+
+        return train_set.size( );
+
+    }
+
+    void ErrorFunction::return_full_data_set_for_training() {
+        if (this->ds_test || this->ds != this->ds_full) {
+//            delete this->ds;
             this->ds = this->ds_full;
+            this->ds_full = nullptr;
         }
     }
 
@@ -116,10 +176,13 @@ namespace lib4neuro {
     }
 
     MSE::MSE(NeuralNetwork* net,
-             DataSet* ds) {
+             DataSet* ds,
+             bool rescale_error
+             ) {
         this->nets.push_back(net);
         this->ds        = ds;
         this->dimension = net->get_n_weights() + net->get_n_biases();
+        this->rescale_error = rescale_error;
     }
 
     double MSE::eval_on_single_input(std::vector<double>* input,
@@ -137,7 +200,7 @@ namespace lib4neuro {
             result += val * val;
         }
 
-        return std::sqrt(result);
+        return result;
     }
 
     double MSE::eval_on_data_set(lib4neuro::DataSet* data_set,
@@ -182,7 +245,6 @@ namespace lib4neuro {
             this->nets[0]->eval_single(data->at(i).first,
                                        output,
                                        weights);
-
             outputs.at(i) = output;
         }
 
@@ -221,6 +283,8 @@ namespace lib4neuro {
 
                 output_norm += denormalized_output * denormalized_output;
             }
+//            std::cout << " entry #" << i+1 << ", error: " << loc_error << std::endl;
+
 
             std::stringstream ss_ind;
             ss_ind << "[" << i << "]";
@@ -231,9 +295,9 @@ namespace lib4neuro {
                                    << R_ALIGN << ss_input.str() << " "
                                    << R_ALIGN << ss_real_output.str() << " "
                                    << R_ALIGN << ss_predicted_output.str() << " "
-                                   << R_ALIGN << std::sqrt(loc_error) << " "
+                                   << R_ALIGN << loc_error << " "
                                    << R_ALIGN
-                                   << 200.0 * std::sqrt(loc_error) / (std::sqrt(loc_error) + std::sqrt(output_norm))
+                                   << 200.0 * loc_error / (loc_error + output_norm)
                                    << std::endl);
             }
 
@@ -244,14 +308,14 @@ namespace lib4neuro {
                                    << R_ALIGN << ss_input.str() << " "
                                    << R_ALIGN << ss_real_output.str() << " "
                                    << R_ALIGN << ss_predicted_output.str() << " "
-                                   << R_ALIGN << std::sqrt(loc_error) << " "
+                                   << R_ALIGN << loc_error << " "
                                    << R_ALIGN
-                                   << 200.0 * std::sqrt(loc_error) / (std::sqrt(loc_error) + std::sqrt(output_norm))
+                                   << 200.0 * loc_error / (loc_error + output_norm)
                                    << std::endl;
             }
         }
 
-        double result = std::sqrt(error) / n_elements;
+        double result = error / (this->rescale_error?n_elements:1.0);
 
         if (verbose) {
             COUT_DEBUG("MSE = " << result << std::endl);
@@ -296,10 +360,13 @@ namespace lib4neuro {
     double MSE::eval(std::vector<double>* weights,
                      bool denormalize_data,
                      bool verbose) {
-        return this->eval_on_data_set(this->ds,
+        double out = this->eval_on_data_set(this->ds,
                                       nullptr,
                                       weights,
                                       verbose);
+
+        MPI_Allreduce( MPI_IN_PLACE, &out, 1, MPI_DOUBLE, MPI_SUM, lib4neuro::mpi_active_comm );
+        return out;
     }
 
     double MSE::eval_on_test_data(std::vector<double>* weights,
@@ -338,6 +405,8 @@ namespace lib4neuro {
         size_t n_elements = this->ds->get_n_elements();
         std::vector<std::pair<std::vector<double>, std::vector<double>>>* data = this->ds->get_data();
 
+        std::fill(grad.begin(), grad.end(), 0.0);
+
         if (batch > 0) {
             *data = this->ds->get_random_data_batch(batch);
             n_elements = data->size();
@@ -356,9 +425,11 @@ namespace lib4neuro {
 
             this->nets[0]->add_to_gradient_single(el.first,
                                                   error_derivative,
-                                                  alpha / n_elements,
+                                                  alpha / (this->rescale_error?n_elements:1.0),
                                                   grad);
         }
+
+        MPI_Allreduce( MPI_IN_PLACE, &grad[0], grad.size(), MPI_DOUBLE, MPI_SUM, lib4neuro::mpi_active_comm );
     }
 
     double MSE::calculate_single_residual(std::vector<double>* input,
@@ -524,7 +595,7 @@ namespace lib4neuro {
                 2.0 * (error_vector.at(j) - this->ds->get_data()->at(i).second.at(j)); //real - expected result
         }
 
-        return sqrt(output);
+        return output;
     }
 
 
@@ -593,6 +664,8 @@ namespace lib4neuro {
             }
         }
 
+        MPI_Allreduce( MPI_IN_PLACE, &output, 1, MPI_DOUBLE, MPI_SUM, lib4neuro::mpi_active_comm );
+
         return output;
     }
 
@@ -650,6 +723,7 @@ namespace lib4neuro {
             }
         }
 
+
         return output;
     }
 
@@ -789,6 +863,8 @@ namespace lib4neuro {
             o += this->summand->at(i)->get_n_data_set();
         }
 
+        //TODO how is this function being used? should this be across all MPI ranks?
+
         return o;
     }
 
@@ -818,6 +894,18 @@ namespace lib4neuro {
         }
     }
 
+    size_t ErrorSum::divide_data_worst_subset(
+            std::vector<size_t> &subset_indices,
+            std::vector<bool> &active_subset,
+            std::vector<float> &entry_errors
+    ) {
+        size_t output = 0;
+        assert( false );
+        return output;
+    }
+
+
+
     void ErrorSum::return_full_data_set_for_training() {
         for (auto n: *this->summand) {
             n->return_full_data_set_for_training();
diff --git a/src/ErrorFunction/ErrorFunctions.h b/src/ErrorFunction/ErrorFunctions.h
index 61cca367cc211d8688324165e18343e64621fbc2..a88969aad250397e7fa53cfe4ae5fec5faae066e 100644
--- a/src/ErrorFunction/ErrorFunctions.h
+++ b/src/ErrorFunction/ErrorFunctions.h
@@ -106,12 +106,23 @@ namespace lib4neuro {
          * @param percent_train
          * @return
          */
-        virtual void divide_data_train_test(double percent_test) = 0;
+        LIB4NEURO_API virtual void divide_data_train_test(double percent_test);
 
         /**
          *
+         * @param percent_train
+         * @return
          */
-        virtual void return_full_data_set_for_training() = 0;
+        LIB4NEURO_API virtual size_t divide_data_worst_subset(
+            std::vector<size_t> &subset_indices,
+            std::vector<bool> &active_subset,
+            std::vector<float> &entry_errors
+        );
+
+        /**
+         *
+         */
+        LIB4NEURO_API virtual void return_full_data_set_for_training();
 
         /**
          *
@@ -272,27 +283,21 @@ namespace lib4neuro {
 
 
     class MSE : public ErrorFunction {
+    private:
+        bool rescale_error;
 
     public:
         /**
          * Constructor for single neural network
          * @param net
          * @param ds
+         * @param rescale_error if true, the means square error is used, if false, the absolute value of the error is used
          */
         LIB4NEURO_API MSE(NeuralNetwork* net,
-                          DataSet* ds);
-
-        /**
-         *
-         * @param percent_train
-         * @return
-         */
-        LIB4NEURO_API virtual void divide_data_train_test(double percent_test) override;
+                          DataSet* ds,
+                          bool rescale_error = true
+                          );
 
-        /**
-         *
-         */
-        LIB4NEURO_API virtual void return_full_data_set_for_training() override;
 
         /**
          *
@@ -681,9 +686,21 @@ namespace lib4neuro {
 
         /**
          *
-         * @param percent
+         * @param percent_train
+         * @return
+         */
+        LIB4NEURO_API virtual void divide_data_train_test(double percent_test) override;
+
+        /**
+         *
+         * @param percent_train
+         * @return
          */
-        LIB4NEURO_API virtual void divide_data_train_test(double percent) override;
+        LIB4NEURO_API virtual size_t divide_data_worst_subset(
+            std::vector<size_t> &subset_indices,
+            std::vector<bool> &active_subset,
+            std::vector<float> &entry_errors
+        ) override;
 
         /**
          *
diff --git a/src/LearningMethods/GradientDescent.cpp b/src/LearningMethods/GradientDescent.cpp
index d9a2c55b298054dc3aeceba006d87680237053f3..4e2e6222ad251378554bb6f920bca704567d3472 100644
--- a/src/LearningMethods/GradientDescent.cpp
+++ b/src/LearningMethods/GradientDescent.cpp
@@ -2,12 +2,13 @@
  * DESCRIPTION OF THE FILE
  *
  * @author Michal Kravčenko
- * @date 30.7.18 - 
+ * @date 30.7.18 -
  */
 
 #include <random.hpp>
 #include "GradientDescent.h"
 #include "message.h"
+#include "../mpi_wrapper.h"
 
 namespace lib4neuro {
     GradientDescent::GradientDescent(double epsilon,
@@ -83,13 +84,13 @@ namespace lib4neuro {
     void GradientDescent::optimize(lib4neuro::ErrorFunction& ef,
                                    std::ofstream* ofs) {
 
-
+        double err_ = ef.eval();
         COUT_INFO("Finding a solution via a Gradient Descent method with adaptive step-length..." << std::endl);
-        COUT_INFO("Initial error: " << ef.eval() << std::endl);
+        COUT_INFO("Initial error: " << err_ << std::endl);
 
-        if (ofs && ofs->is_open()) {
+        if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0) {
             *ofs << "Finding a solution via a Gradient Descent method with adaptive step-length..." << std::endl;
-            *ofs << "Initial error: " << ef.eval() << std::endl;
+            *ofs << "Initial error: " << err_ << std::endl;
         }
 
         double        grad_norm    = this->tolerance * 10.0, gamma, sx, beta;
@@ -227,7 +228,7 @@ namespace lib4neuro {
             COUT_INFO(std::endl << "Maximum number of iterations (" << this->maximum_niters
                                 << ") was reached! Final error: " << val << std::endl);
 
-            if (ofs && ofs->is_open()) {
+            if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0) {
                 *ofs << "Maximum number of iterations (" << this->maximum_niters << ") was reached! Final error: "
                      << val << std::endl;
 
@@ -239,7 +240,7 @@ namespace lib4neuro {
                                 << " iterations. Final error:" << val
                                 << std::endl);
 #ifdef L4N_DEBUG
-            if (ofs && ofs->is_open()) {
+            if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0) {
                 *ofs << "Gradient Descent method converged after "
                      << this->maximum_niters - iter_idx
                      << " iterations."
diff --git a/src/LearningMethods/GradientDescentBB.cpp b/src/LearningMethods/GradientDescentBB.cpp
index 09fda2e14a6bceae4737c964bbed4e20dc78ef3e..51d62990abd3e2a58121ea57e6b703e5be331be4 100644
--- a/src/LearningMethods/GradientDescentBB.cpp
+++ b/src/LearningMethods/GradientDescentBB.cpp
@@ -5,6 +5,8 @@
  * @date 4.2.19 -
  */
 
+#include "../mpi_wrapper.h"
+
 #include "GradientDescentBB.h"
 #include "message.h"
 
@@ -24,13 +26,13 @@ namespace lib4neuro {
     void GradientDescentBB::optimize(lib4neuro::ErrorFunction& ef,
                                      std::ofstream* ofs) {
 
-
+        double err_ = ef.eval();
         COUT_INFO("Finding a solution via a Gradient Descent method with adaptive step-length..." << std::endl);
-        COUT_INFO("Initial error: " << ef.eval() << std::endl);
+        COUT_INFO("Initial error: " << err_ << std::endl);
 
-        if (ofs && ofs->is_open()) {
+        if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0) {
             *ofs << "Finding a solution via a Gradient Descent method with adaptive step-length..." << std::endl;
-            *ofs << "Initial error: " << ef.eval() << std::endl;
+            *ofs << "Initial error: " << err_ << std::endl;
         }
 
         double        grad_norm    = this->tolerance * 10.0, gamma, sx, beta;
@@ -64,6 +66,7 @@ namespace lib4neuro {
         std::fill(gradient_prev->begin(),
                   gradient_prev->end(),
                   0.0);
+
         val      = ef.eval(params_current);
         val_best = val;
 
@@ -78,6 +81,7 @@ namespace lib4neuro {
             std::fill(gradient_current->begin(),
                       gradient_current->end(),
                       0.0);
+
             ef.calculate_error_gradient(*params_current,
                                         *gradient_current,
                                         1.0,
@@ -177,7 +181,7 @@ namespace lib4neuro {
             COUT_INFO("Maximum number of iterations (" << this->maximum_niters
                                 << ") was reached! Final error: " << val_best << std::endl);
 
-            if (ofs && ofs->is_open()) {
+            if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0) {
                 *ofs << "Maximum number of iterations (" << this->maximum_niters << ") was reached! Final error: "
                      << val_best << std::endl;
 
@@ -189,7 +193,7 @@ namespace lib4neuro {
                                 << " iterations. Final error:" << val_best
                                 << std::endl);
 #ifdef L4N_DEBUG
-            if (ofs && ofs->is_open()) {
+            if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0) {
                 *ofs << "Gradient Descent method converged after "
                      << this->maximum_niters - iter_idx
                      << " iterations."
diff --git a/src/LearningMethods/GradientDescentSingleItem.cpp b/src/LearningMethods/GradientDescentSingleItem.cpp
index 1f9cdc308d09f2aa7c236f63f09034f68212e076..4bec3b4c920b32c60b6c20283f1861b5f3b7ff37 100644
--- a/src/LearningMethods/GradientDescentSingleItem.cpp
+++ b/src/LearningMethods/GradientDescentSingleItem.cpp
@@ -5,6 +5,8 @@
  * @date 19.2.19 -
  */
 
+#include "../mpi_wrapper.h"
+
 #include "GradientDescentSingleItem.h"
 
 #include <random.hpp>
@@ -56,10 +58,11 @@ namespace lib4neuro {
 
     void GradientDescentSingleItem::optimize(lib4neuro::ErrorFunction& ef,
                                              std::ofstream* ofs) {
+        double err_ = ef.eval();
 
         COUT_INFO("Finding a solution via a Gradient Descent [Single Item] method with adaptive step-length..."
                       << std::endl);
-        COUT_INFO("Initial error: " << ef.eval() << std::endl);
+        COUT_INFO("Initial error: " << err_ << std::endl);
 
         size_t total_elements = ef.get_n_data_set(), updated_elements = 0, iter = 0;
         double max_error      = 1.0, error, gamma;
diff --git a/src/LearningMethods/LazyLearning.cpp b/src/LearningMethods/LazyLearning.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..8b8b9454080dedb87a1a6a35b146fdd859c30793
--- /dev/null
+++ b/src/LearningMethods/LazyLearning.cpp
@@ -0,0 +1,110 @@
+/**
+ * DESCRIPTION OF THE FILE
+ *
+ * @author Michal Kravčenko
+ * @date 30.7.18 -
+ */
+
+#include <random.hpp>
+#include <limits>
+
+#include "message.h"
+
+#include "LazyLearning.h"
+
+namespace lib4neuro {
+	LazyLearning::LazyLearning(
+		LearningMethod &inner_trainer,
+		double tol
+	){
+		this->inner_method = &inner_trainer;
+		this->tolerance = tol;
+	}
+
+	LazyLearning::~LazyLearning( ) {}
+
+	void LazyLearning::optimize(
+		lib4neuro::ErrorFunction& ef,
+		std::ofstream* ofs
+	) {
+
+        std::vector<size_t> subset_indices;
+        std::vector<bool> active_subset;
+        std::vector<float> entry_errors;
+        while( true ){
+
+            ef.divide_data_worst_subset( subset_indices, active_subset, entry_errors );
+            /* errors of the active subset */
+            float subset_error_min = std::numeric_limits<float>::max();
+            float subset_error_max = 0.0;
+            float subset_error_total = 0.0;
+            size_t new_subset_index = subset_indices[subset_indices.size() - 1];
+            float new_subset_entry_error = entry_errors[new_subset_index];
+            float new_subset_entry_error_min = 0.0;
+            float new_subset_entry_error_max = 0.0;
+
+
+            /* errors of the elements not considered */
+            float shelved_error_min = subset_error_min;
+            float shelved_error_max = 0.0;
+            float shelved_error_total = 0.0;
+
+            /* processing of the errors */
+            for( size_t i = 0; i < entry_errors.size(); ++i){
+                if( active_subset[ i ] ){
+                    if( i == new_subset_index ){
+
+                    }
+                    else{
+                        subset_error_total += entry_errors[ i ];
+                        subset_error_max = std::max(subset_error_max, entry_errors[ i ] );
+                        subset_error_min = std::min(subset_error_min, entry_errors[ i ] );
+                    }
+                }
+                else{
+                    shelved_error_total += entry_errors[ i ];
+                    shelved_error_max = std::max(shelved_error_max, entry_errors[ i ] );
+                    shelved_error_min = std::min(shelved_error_min, entry_errors[ i ] );
+                }
+            }
+
+            int nactive_set = subset_indices.size();
+            int nshelved_set = active_subset.size() - subset_indices.size();
+
+            MPI_Allreduce( MPI_IN_PLACE, &nactive_set, 1, MPI_INT, MPI_SUM, lib4neuro::mpi_active_comm );
+            MPI_Allreduce( MPI_IN_PLACE, &subset_error_total, 1, MPI_FLOAT, MPI_SUM, lib4neuro::mpi_active_comm );
+            MPI_Allreduce( MPI_IN_PLACE, &subset_error_min, 1, MPI_FLOAT, MPI_MIN, lib4neuro::mpi_active_comm );
+            MPI_Allreduce( MPI_IN_PLACE, &subset_error_max, 1, MPI_FLOAT, MPI_MAX, lib4neuro::mpi_active_comm );
+            MPI_Allreduce( &new_subset_entry_error, &new_subset_entry_error_min, 1, MPI_FLOAT, MPI_MIN, lib4neuro::mpi_active_comm );
+            MPI_Allreduce( &new_subset_entry_error, &new_subset_entry_error_max, 1, MPI_FLOAT, MPI_MAX, lib4neuro::mpi_active_comm );
+
+            MPI_Allreduce( MPI_IN_PLACE, &nshelved_set, 1, MPI_INT, MPI_SUM, lib4neuro::mpi_active_comm );
+            MPI_Allreduce( MPI_IN_PLACE, &shelved_error_total, 1, MPI_FLOAT, MPI_SUM, lib4neuro::mpi_active_comm );
+            MPI_Allreduce( MPI_IN_PLACE, &shelved_error_min, 1, MPI_FLOAT, MPI_MIN, lib4neuro::mpi_active_comm );
+            MPI_Allreduce( MPI_IN_PLACE, &shelved_error_max, 1, MPI_FLOAT, MPI_MAX, lib4neuro::mpi_active_comm );
+
+            if( subset_indices.size() > 1 ){
+                COUT_INFO( "[" << nactive_set << "] subset error: " << subset_error_total << ", in range: " << subset_error_min << " - " << subset_error_max << ", new entry errors: " << new_subset_entry_error_min << " - " << new_subset_entry_error_max );
+            }
+            else{
+                COUT_INFO( "[" << nactive_set << "] new entry error: " << new_subset_entry_error_min << " - " << new_subset_entry_error_max );
+            }
+            COUT_INFO( "[" << nshelved_set << "] remaining error: " << shelved_error_total << ", in range: " << shelved_error_min << " - " << shelved_error_max << std::endl );
+
+            if( shelved_error_max < this->tolerance && subset_error_max < this->tolerance && new_subset_entry_error < this->tolerance ){
+                break;
+            }
+
+            this->inner_method->optimize( ef, ofs );
+
+            double sub_error_after = ef.eval( );
+            while( sub_error_after > this->tolerance ){
+                this->inner_method->optimize( ef, ofs );
+                sub_error_after = ef.eval( );
+            }
+            ef.return_full_data_set_for_training( );
+            COUT_INFO( "------------------------" );
+        }
+	}
+
+}//end of namespace lib4neuro
diff --git a/src/LearningMethods/LazyLearning.h b/src/LearningMethods/LazyLearning.h
new file mode 100644
index 0000000000000000000000000000000000000000..9d5dec49375d0fd43cbce58384ed0389a0ce0f71
--- /dev/null
+++ b/src/LearningMethods/LazyLearning.h
@@ -0,0 +1,60 @@
+/**
+ * DESCRIPTION OF THE FILE
+ *
+ * @author Michal Kravčenko
+ * @date 18.09.19 -
+ */
+
+#ifndef INC_4NEURO_LAZYLEARNING_H
+#define INC_4NEURO_LAZYLEARNING_H
+
+#include <memory>
+#include "../settings.h"
+#include "../constants.h"
+#include "LearningMethod.h"
+#include "../ErrorFunction/ErrorFunctions.h"
+
+namespace lib4neuro {
+    /**
+     *
+     */
+    class LazyLearning : public LearningMethod {
+
+    private:
+		size_t subset_size;
+
+		LearningMethod *inner_method;
+
+		double tolerance;
+
+    public:
+
+        /**
+         * Creates an instance of Lazy Learning Optimizer
+		 * it trains the network iteratively using chunks of the train data which cause
+		 * the highest error
+         * @param inner_trainer method used for individual optimizations
+         * @param subset_size number of data entries to be propagated in one batch
+         * @param tolerance desired accuracy
+         */
+        LIB4NEURO_API explicit LazyLearning(
+			LearningMethod &inner_trainer,
+			double tol = 1e-6
+		);
+
+        /**
+         * Deallocates the instance
+         */
+        LIB4NEURO_API ~LazyLearning();
+
+        /**
+         *
+         * @param ef
+         */
+        LIB4NEURO_API void optimize(lib4neuro::ErrorFunction& ef,
+                                    std::ofstream* ofs = nullptr) override;
+
+    };
+}
+
+#endif //INC_4NEURO_GRADIENTDESCENT_H
diff --git a/src/LearningMethods/LevenbergMarquardt.cpp b/src/LearningMethods/LevenbergMarquardt.cpp
index adc4dc12646c8b5149e64711c1bdd392734df59b..0ae9a40b2ec93cd788cbc9060a7d93df9dc3205d 100644
--- a/src/LearningMethods/LevenbergMarquardt.cpp
+++ b/src/LearningMethods/LevenbergMarquardt.cpp
@@ -1,9 +1,9 @@
 #define ARMA_ALLOW_FAKE_GCC
 #include <armadillo>
+#include "../mpi_wrapper.h"
 
 #include "LevenbergMarquardt.h"
 #include "../message.h"
-#include "../exceptions.h"
 
 struct lib4neuro::LevenbergMarquardt::LevenbergMarquardtImpl {
     /**
@@ -54,27 +54,17 @@ void lib4neuro::LevenbergMarquardt::LevenbergMarquardtImpl::get_jacobian_and_rhs
     std::vector<std::vector<double>> jacobian;
     std::vector<double>              rhs_vec;
 
-//    if (data_subset_size <= 0) {
-//        data_subset_size = ef.get_n_data_set();
-//    }
-//
-//    if (data_subset_size < ef.get_n_data_set()) {
-//        ef.divide_data_train_test((double) data_subset_size / (double) ef.get_n_data_set());
-//    }
-
-    std::vector<std::pair<std::vector<double>, std::vector<double>>> v;
-    if(data_subset_size > ef.get_n_data_set()) {
-        THROW_INVALID_ARGUMENT_ERROR("Batch size (" + std::to_string(data_subset_size)
-                                     + ") can not be larger than DataSet size ("
-                                     + std::to_string(ef.get_n_data_set()) + ") !");
-    } else if (data_subset_size > 0) {
-        v = ef.get_dataset()->get_next_data_batch(data_subset_size);
-        ef.get_jacobian_and_rhs(jacobian, rhs_vec, v);
-    } else {
-        ef.get_jacobian_and_rhs(jacobian,
-                                rhs_vec);
+    if (data_subset_size <= 0) {
+        data_subset_size = ef.get_n_data_set();
     }
 
+    if (data_subset_size < ef.get_n_data_set()) {
+        ef.divide_data_train_test((double) data_subset_size / (double) ef.get_n_data_set());
+    }
+    //TODO MPI each process has part of the matrix
+    ef.get_jacobian_and_rhs(jacobian,
+                            rhs_vec);
+
     if (data_subset_size < ef.get_n_data_set()) {
         ef.return_full_data_set_for_training();
     }
@@ -90,8 +80,7 @@ void lib4neuro::LevenbergMarquardt::LevenbergMarquardtImpl::get_jacobian_and_rhs
 
     for (size_t ri = 0; ri < jacobian.size(); ++ri) {
         for (size_t ci = 0; ci < n_parameters; ++ci) {
-            J.at(ri,
-                 ci) = jacobian[ri][ci];
+            J.at(ri, ci) = jacobian[ri][ci];
         }
     }
     for (size_t ci = 0; ci < n_parameters; ++ci) {
@@ -134,8 +123,8 @@ namespace lib4neuro {
         double current_err = ef.eval();
 
         COUT_INFO(
-            "Finding a solution via a Levenberg-Marquardt method... Starting error: " << current_err << std::endl);
-        if (ofs && ofs->is_open()) {
+            "Finding a solution via the Levenberg-Marquardt method... Starting error: " << current_err << std::endl);
+        if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0) {
             *ofs << "Finding a solution via a Levenberg-Marquardt method... Starting error: " << current_err
                  << std::endl;
         }
@@ -151,9 +140,9 @@ namespace lib4neuro {
         params_tmp.reset(new std::vector<double>(n_parameters));
         arma::Mat<double> J(n_data_points,
                             n_parameters);  // Jacobian matrix
-        arma::Mat<double> H(n_data_points,
+        arma::Mat<double> H(n_parameters,
                             n_parameters);  // Hessian matrix
-        arma::Mat<double> H_new(n_data_points,
+        arma::Mat<double> H_new(n_parameters,
                                 n_parameters);
 
         double lambda   = this->p_impl->lambda_initial;  // Dumping parameter
@@ -172,6 +161,8 @@ namespace lib4neuro {
         //-------------------//
         size_t iter_counter   = 0;
         do {
+//			COUT_INFO("Iteration: " << iter_counter << " Current error: " << current_err << ", Current gradient norm: "
+//                                     << gradient_norm << ", Direction norm: " << update_norm << "\r");
 
             if (update_J) {
                 /* Get Jacobian matrix */
@@ -216,6 +207,10 @@ namespace lib4neuro {
             /* Compute the update vector */
             update = arma::solve(H_new,
                                  rhs);
+            MPI_Allreduce( MPI_IN_PLACE, &update[0], update.size(), MPI_DOUBLE, MPI_SUM, lib4neuro::mpi_active_comm );
+            for( size_t ii = 0; ii < update.size(); ++ii ){
+                update.at( ii ) /= lib4neuro::mpi_nranks;
+            }
 
             /* Compute the error after update of parameters */
             update_norm = 0.0;
@@ -252,17 +247,18 @@ namespace lib4neuro {
                 update_J = false;
                 lambda *= this->p_impl->lambda_increase;
             }
-            COUT_DEBUG("Iteration: " << iter_counter << " Current error: " << current_err << ", Current gradient norm: "
-                                     << gradient_norm << ", Direction norm: " << update_norm << "\r");
+            // COUT_DEBUG("Iteration: " << iter_counter << " Current error: " << current_err << ", Current gradient norm: "
+                                     // << gradient_norm << ", Direction norm: " << update_norm << "\r");
+
 
-            if (ofs && ofs->is_open()) {
+            if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0) {
                 *ofs << "Iteration: " << iter_counter << " Current error: " << current_err << ", Current gradient norm: "
                      << gradient_norm << ", Direction norm: " << update_norm << std::endl;
             }
-        } while (iter_counter++ < this->p_impl->maximum_niters && (update_norm > this->p_impl->tolerance));
+        } while (iter_counter++ < this->p_impl->maximum_niters && (update_norm > this->p_impl->tolerance_parameters));
         COUT_DEBUG("Iteration: " << iter_counter << " Current error: " << current_err << ", Current gradient norm: "
                                  << gradient_norm << ", Direction norm: " << update_norm << std::endl);
-        if (ofs && ofs->is_open()) {
+        if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0) {
             *ofs << "Iteration: " << iter_counter << " Current error: " << current_err << ", Current gradient norm: "
                  << gradient_norm << ", Direction norm: " << update_norm << std::endl;
         }
@@ -278,8 +274,7 @@ namespace lib4neuro {
 
         ef.set_parameters(this->optimal_parameters);
 
-		COUT_INFO("Finished in " << iter_counter << " iterations with error: " << current_err << " and gradient norm: " << gradient_norm << std::endl);
-
+		COUT_INFO("Finished in " << iter_counter << " iterations with error: " << current_err << " and gradient norm: " << gradient_norm << " and update norm: " << update_norm << std::endl);
     }
 
     LevenbergMarquardt::~LevenbergMarquardt() = default;
diff --git a/src/LearningMethods/NelderMead.cpp b/src/LearningMethods/NelderMead.cpp
index 9d42d2c16afcb6d954a9386f63ab3b9b2648abe1..5e3fc9939717be6f1adcca19144f49fc67126491 100644
--- a/src/LearningMethods/NelderMead.cpp
+++ b/src/LearningMethods/NelderMead.cpp
@@ -92,8 +92,9 @@ lib4neuro::NelderMead::~NelderMead() {}
 void lib4neuro::NelderMead::optimize(lib4neuro::ErrorFunction& ef,
                                      std::ofstream* ofs) {
 
+    double err_ = ef.eval();
     COUT_INFO("Nelder-Mead optimizer starting...");
-    COUT_INFO("Initial network error: " + std::to_string(ef.eval()));
+    COUT_INFO("Initial network error: " + std::to_string(err_));
     size_t problem_dim = ef.get_dimension();
     this->optimized_function_dimension = problem_dim;
     unsigned int best = 0;
@@ -130,27 +131,27 @@ void lib4neuro::NelderMead::optimize(lib4neuro::ErrorFunction& ef,
         for(size_t j = 0; j <= problem_dim; j++) {
             std_vec_tmp = arma::conv_to<std::vector<double>>::from(this->simplex->col(j));
             simplex_function_values(j) = ef.eval(&std_vec_tmp);  //TODO do in a more efficient way
-            ef.set_parameters(this->optimal_parameters);
         }
 
         /* Sort simplex points according to the error function output */
         simplex_indices = arma::sort_index(simplex_function_values);
         *this->simplex = this->simplex->cols(simplex_indices);
         simplex_function_values = arma::sort(simplex_function_values);
-        
+
         this->optimal_parameters = arma::conv_to<std::vector<double>>::from(this->simplex->col(best));
         ef.set_parameters(this->optimal_parameters);
 
         /* Termination conditions (network error,  */
-        if(ef.eval() < this->terminating_net_error
+        err_ = ef.eval();
+        if(err_ < this->terminating_net_error
            || std::abs(simplex_function_values.at(best) - simplex_function_values.at(worst)) < this->terminating_vertex_difference
            || this->get_simplex_contraction() < this->terminating_simplex_contraction) {
             COUT_INFO("Nelder-Mead optimizer converged after " + std::to_string(iter_ind+1) + " iterations"
-                      " with the final error " + std::to_string(ef.eval()) + ".");
+                      " with the final error " + std::to_string(err_) + ".");
 
             return;
         }
-        
+
         /* Compute centroid */
         arma::Col<double> centroid(problem_dim);
         for(size_t j = 0; j < problem_dim; j++) {
@@ -207,12 +208,13 @@ void lib4neuro::NelderMead::optimize(lib4neuro::ErrorFunction& ef,
             }
         }
     }
-    
+
     this->optimal_parameters = arma::conv_to<std::vector<double>>::from(this->simplex->col(best));
     ef.set_parameters(this->optimal_parameters);
 
+    err_ = ef.eval();
     COUT_INFO("Maximal number of iterations (" + std::to_string(this->maximum_niters) + ") was reached! Network "
-                   "error is " + std::to_string(ef.eval()) + ".");
+                   "error is " + std::to_string(err_) + ".");
 }
 
 double lib4neuro::NelderMead::get_simplex_contraction() {
diff --git a/src/LearningMethods/ParticleSwarm.cpp b/src/LearningMethods/ParticleSwarm.cpp
index 7ba249b27dc759c361514a24067df32a0afb9e87..49dedec79034896b6ec2e9648755c739ec421613 100644
--- a/src/LearningMethods/ParticleSwarm.cpp
+++ b/src/LearningMethods/ParticleSwarm.cpp
@@ -16,6 +16,8 @@
 #include <iostream>
 #include <format.hpp>
 
+#include "../mpi_wrapper.h"
+
 #include "message.h"
 #include "../Network/NeuralNetwork.h"
 #include "../DataSet/DataSet.h"
@@ -293,7 +295,7 @@ namespace lib4neuro {
     void ParticleSwarm::optimize(lib4neuro::ErrorFunction& ef,
                                  std::ofstream* ofs) {
         COUT_INFO("Finding optima via Globalized Particle Swarm method..." << std::endl);
-        if (ofs && ofs->is_open()) {
+        if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0 ) {
             *ofs << "Finding optima via Globalized Particle Swarm method..." << std::endl;
         }
 
@@ -423,7 +425,7 @@ namespace lib4neuro {
                                                   << ". Total error: " << current_err
                                                   << ". Objective function value: " << optimal_value
                                                   << ".\r");
-            if (ofs && ofs->is_open()) {
+            if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0) {
                 *ofs << "Iteration: " << (outer_it)
                      << ". Total error: " << current_err
                      << ". Objective function value: " << optimal_value
@@ -455,7 +457,7 @@ namespace lib4neuro {
                                               << ". Total error: " << current_err
                                               << ". Objective function value: " << optimal_value
                                               << "." << std::endl);
-        if (ofs && ofs->is_open()) {
+        if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0) {
             *ofs << "Iteration: " << (outer_it)
                  << ". Total error: " << current_err
                  << ". Objective function value: " << optimal_value
@@ -469,7 +471,7 @@ namespace lib4neuro {
             /* Convergence reached */
             COUT_INFO(std::endl << "Found optimum in " << outer_it << " iterations. Objective function value: "
                                 << optimal_value << std::endl);
-            if (ofs && ofs->is_open()) {
+            if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0) {
                 *ofs << "Found optimum in " << outer_it << " iterations. Objective function value: "
                      << optimal_value << std::endl;
             }
@@ -477,7 +479,7 @@ namespace lib4neuro {
             /* Maximal number of iterations reached */
             COUT_INFO(std::endl << "Max number of iterations reached (" << outer_it << ")!  Objective function value: "
                                 << optimal_value << std::endl);
-            if (ofs && ofs->is_open()) {
+            if (ofs && ofs->is_open() && lib4neuro::mpi_rank == 0) {
                 *ofs << "Max number of iterations reached (" << outer_it << ")!  Objective function value: "
                      << optimal_value << std::endl;
             }
diff --git a/src/Network/NeuralNetwork.cpp b/src/Network/NeuralNetwork.cpp
index 338b1595724f4a2fd2566c90a40b982ada589ffb..27dd875510177a37c31cda5b62c6de9780a45990 100644
--- a/src/Network/NeuralNetwork.cpp
+++ b/src/Network/NeuralNetwork.cpp
@@ -2,21 +2,23 @@
  * DESCRIPTION OF THE FILE
  *
  * @author Michal Kravčenko
- * @date 13.6.18 - 
+ * @date 13.6.18 -
  */
 
 #include <iostream>
-#include <4neuro.h>
-#include <NetConnection/ConnectionFunctionConstant.h>
+#include "../NetConnection/ConnectionFunctionConstant.h"
 
 #include "message.h"
 #include "NeuralNetwork.h"
 #include "NeuralNetworkSerialization.h"
 #include "exceptions.h"
 
+#include "../mpi_wrapper.h"
+
+
 namespace lib4neuro {
-    NeuralNetwork::NeuralNetwork() {
 
+    NeuralNetwork::NeuralNetwork() {
 
         this->delete_weights  = true;
         this->delete_biases   = true;
@@ -24,9 +26,7 @@ namespace lib4neuro {
     }
 
     NeuralNetwork::NeuralNetwork(std::string filepath) {
-
         this->init_from_file( filepath );
-
     }
 
     NeuralNetwork::~NeuralNetwork() {}
@@ -271,9 +271,9 @@ namespace lib4neuro {
         double potential, bias;
         int    bias_idx;
 
-        this->copy_parameter_space(custom_weights_and_biases);  // TODO rewrite, so the original parameters are not edited!
+        this->copy_parameter_space( custom_weights_and_biases );  // TODO rewrite, so the original parameters are not edited!
 
-        this->analyze_layer_structure();
+        this->analyze_layer_structure( );
 
         /* reset of the output and the neuron potentials */
         ::std::fill(output.begin(),
@@ -292,7 +292,6 @@ namespace lib4neuro {
         for (auto layer: this->neuron_layers_feedforward) {
             /* we iterate through all neurons in this layer and propagate the signal to the neighboring neurons */
 
-//#pragma omp parallel for collapse(3)
             for (auto si: *layer) {
                 bias      = 0.0;
                 bias_idx  = this->neuron_bias_indices.at(si);
@@ -488,29 +487,48 @@ namespace lib4neuro {
 
     void NeuralNetwork::randomize_weights() {
 
-        boost::random::mt19937 gen(std::time(0));
+        if( lib4neuro::mpi_rank == 0 ){
+            boost::random::mt19937 gen(std::time(0));
 
-        // Init weight guess ("optimal" for logistic activation functions)
-        double r = 4 * sqrt(6. / (this->connection_weights.size()));
+            // Init weight guess ("optimal" for logistic activation functions)
+            double r = 4 * sqrt(6. / (this->connection_weights.size()));
 
-        boost::random::uniform_real_distribution<> dist(-r,
-                                                        r);
+            boost::random::uniform_real_distribution<> dist(-r,r);
 
-        for (size_t i = 0; i < this->connection_weights.size(); i++) {
-            this->connection_weights.at(i) = dist(gen);
+            for (size_t i = 0; i < this->connection_weights.size(); i++) {
+                this->connection_weights.at(i) = dist(gen);
+            }
         }
+
+        MPI_Bcast(
+            &this->connection_weights[0],
+            this->connection_weights.size(),
+            MPI_DOUBLE,
+            0,
+            lib4neuro::mpi_active_comm
+        );
     }
 
     void NeuralNetwork::randomize_biases() {
 
-        boost::random::mt19937 gen(std::time(0));
+        if( lib4neuro::mpi_rank == 0 ){
+            boost::random::mt19937 gen(std::time(0));
 
-        // Init weight guess ("optimal" for logistic activation functions)
-        boost::random::uniform_real_distribution<> dist(-1,
-                                                        1);
-        for (size_t                                i = 0; i < this->neuron_biases.size(); i++) {
-            this->neuron_biases.at(i) = dist(gen);
+            // Init weight guess ("optimal" for logistic activation functions)
+            boost::random::uniform_real_distribution<> dist(-1,
+                                                            1);
+            for (size_t                                i = 0; i < this->neuron_biases.size(); i++) {
+                this->neuron_biases.at(i) = dist(gen);
+            }
         }
+
+        MPI_Bcast(
+            &this->neuron_biases[0],
+            this->neuron_biases.size(),
+            MPI_DOUBLE,
+            0,
+            lib4neuro::mpi_active_comm
+        );
     }
 
     void NeuralNetwork::randomize_parameters() {
@@ -569,6 +587,10 @@ namespace lib4neuro {
     }
 
     void NeuralNetwork::write_weights() {
+        if( lib4neuro::mpi_rank > 0 ){
+            return;
+        }
+
         std::cout << "Connection weights: ";
         if (!this->connection_weights.empty()) {
             for (size_t i = 0; i < this->connection_weights.size() - 1; ++i) {
@@ -579,6 +601,10 @@ namespace lib4neuro {
     }
 
     void NeuralNetwork::write_weights(std::string file_path) {
+        if( lib4neuro::mpi_rank > 0 ){
+            return;
+        }
+
         std::ofstream ofs(file_path);
 
         if (!ofs.is_open()) {
@@ -596,6 +622,10 @@ namespace lib4neuro {
     }
 
     void NeuralNetwork::write_weights(std::ofstream* file_path) {
+        if( lib4neuro::mpi_rank > 0 ){
+            return;
+        }
+
         *file_path << "Connection weights: ";
 
         if (!this->connection_weights.empty()) {
@@ -607,6 +637,10 @@ namespace lib4neuro {
     }
 
     void NeuralNetwork::write_biases() {
+        if( lib4neuro::mpi_rank > 0 ){
+            return;
+        }
+
         std::cout << "Network biases: ";
 
         if (!this->neuron_biases.empty()) {
@@ -618,6 +652,10 @@ namespace lib4neuro {
     }
 
     void NeuralNetwork::write_biases(std::string file_path) {
+        if( lib4neuro::mpi_rank > 0 ){
+            return;
+        }
+
         std::ofstream ofs(file_path);
 
         if (!ofs.is_open()) {
@@ -635,6 +673,10 @@ namespace lib4neuro {
     }
 
     void NeuralNetwork::write_biases(std::ofstream* file_path) {
+        if( lib4neuro::mpi_rank > 0 ){
+            return;
+        }
+
         *file_path << "Network biases: ";
 
         if (!this->neuron_biases.empty()) {
@@ -646,6 +688,10 @@ namespace lib4neuro {
     }
 
     void NeuralNetwork::write_stats() {
+        if( lib4neuro::mpi_rank > 0 ){
+            return;
+        }
+
         ::std::cout << std::flush
                     << "Number of neurons: " << this->neurons.size() << ::std::endl
                     << "Number of connections: " << this->connection_list.size() << ::std::endl
@@ -663,6 +709,10 @@ namespace lib4neuro {
     }
 
     void NeuralNetwork::write_stats(std::string file_path) {
+        if( lib4neuro::mpi_rank > 0 ){
+            return;
+        }
+
         std::ofstream ofs(file_path);
 
         if (!ofs.is_open()) {
@@ -686,6 +736,10 @@ namespace lib4neuro {
     }
 
     void NeuralNetwork::write_stats(std::ofstream* file_path) {
+        if( lib4neuro::mpi_rank > 0 ){
+            return;
+        }
+
         *file_path << "Number of neurons: " << this->neurons.size() << ::std::endl
                    << "Number of connections: " << this->connection_list.size() << ::std::endl
                    << "Number of active weights: " << this->connection_weights.size() << ::std::endl
@@ -822,25 +876,34 @@ namespace lib4neuro {
     }
 
     void NeuralNetwork::init_from_file(const std::string &filepath) {
-        ::std::ifstream ifs(filepath);
-        if (ifs.is_open()) {
-            try {
-                boost::archive::text_iarchive ia(ifs);
-                ia >> *this;
-            }
-            catch (boost::archive::archive_exception& e) {
-                THROW_RUNTIME_ERROR(
-                        "Serialized archive error: '" + e.what() + "'! Please, check if your file is really "
-                                                                   "the serialized DataSet.");
+
+        for( int i = 0; i < lib4neuro::mpi_nranks; ++i ){
+            if( i == lib4neuro::mpi_rank ){
+                ::std::ifstream ifs(filepath);
+                if (ifs.is_open()) {
+                    try {
+                        boost::archive::text_iarchive ia(ifs);
+                        ia >> *this;
+                    }
+                    catch (boost::archive::archive_exception& e) {
+                        THROW_RUNTIME_ERROR(
+                                "Serialized archive error: '" + e.what() + "'! Please, check if your file is really "
+                                                                           "the serialized DataSet.");
+                    }
+                    ifs.close();
+                } else {
+                    THROW_RUNTIME_ERROR("File '" + filepath + "' couldn't be open!");
+                }
             }
-            ifs.close();
-        } else {
-            THROW_RUNTIME_ERROR("File '" + filepath + "' couldn't be open!");
+            MPI_Barrier(lib4neuro::mpi_active_comm);
         }
-
     }
 
     void NeuralNetwork::save_text(std::string filepath) {
+        if( lib4neuro::mpi_rank > 0 ){
+            return;
+        }
+
         ::std::ofstream ofs(filepath);
         {
             boost::archive::text_oarchive oa(ofs);
@@ -986,7 +1049,7 @@ namespace lib4neuro {
                 for (auto ind : previous_layer_neuron_indices) {
                     this->add_connection_simple(ind,
                                                 neuron_id,
-                                                l4n::SIMPLE_CONNECTION_TYPE::NEXT_WEIGHT);
+                                                lib4neuro::SIMPLE_CONNECTION_TYPE::NEXT_WEIGHT);
                 }
             }
         }
@@ -1008,16 +1071,16 @@ namespace lib4neuro {
             for (auto ind : previous_layer_neuron_indices) {
                 this->add_connection_simple(ind,
                                             neuron_id,
-                                            l4n::SIMPLE_CONNECTION_TYPE::NEXT_WEIGHT);
+                                            lib4neuro::SIMPLE_CONNECTION_TYPE::NEXT_WEIGHT);
             }
         }
 
         /* Init variables containing indices of INPUT nad OUTPUT neurons */
-
         this->input_neuron_indices  = input_layer_neuron_indices;
         this->output_neuron_indices = current_layer_neuron_indices;
 
-        this->analyze_layer_structure();
+        this->analyze_layer_structure( );
+        this->randomize_parameters( );
     }
 
     void NeuralNetwork::get_jacobian(std::vector<std::vector<double>>& jacobian,
diff --git a/src/Reader/CSVReader.cpp b/src/Reader/CSVReader.cpp
index 985e81b6cdcf1de969cadc448339d1352e91d4d1..1c5674670b750e7cb89fee249f3e0bccae9c3a07 100644
--- a/src/Reader/CSVReader.cpp
+++ b/src/Reader/CSVReader.cpp
@@ -7,6 +7,8 @@
 #include <boost/lexical_cast.hpp>
 #include <boost/algorithm/string/erase.hpp>
 
+#include "../mpi_wrapper.h"
+
 #include "CSVReader.h"
 #include "exceptions.h"
 
@@ -18,70 +20,95 @@ namespace lib4neuro {
     CSVReader::CSVReader(std::string file_path,
                          std::string delimiter,
                          bool ignore_first_line) : Reader(file_path, ignore_first_line, delimiter) {
-        if (!is_file_accessible(file_path)) {
-            THROW_RUNTIME_ERROR("The file path \'" + file_path + "\' specified in Reader is not accessible!");
+        if( lib4neuro::mpi_rank == 0 ){
+            if (!is_file_accessible(file_path)) {
+                MPI_INTERRUPT
+                THROW_RUNTIME_ERROR("The file path \'" + file_path + "\' specified in Reader is not accessible!");
+            }
+            this->header_included   = ignore_first_line;
         }
-
-        this->header_included   = ignore_first_line;
+        MPI_ERROR_CHECK
     }
 
     std::shared_ptr<DataSet> CSVReader::get_data_set(std::vector<unsigned int>* input_col_indices,
                                                      std::vector<unsigned int>* output_col_indices) {
 
         //TODO reimplement as lazy loading using data_set variable inherited from Reader class
-
         std::vector<std::pair<std::vector<double>, std::vector<double>>> data_set_contents;
+        int inp_dim = 0;
+        int out_dim = 0;
+        if( lib4neuro::mpi_rank == 0 ){
+
+            if (this->data.empty()) {
+                MPI_INTERRUPT
+                THROW_LOGIC_ERROR("DataSet can not be created as there were no data read beforehand! Did you forget to call "
+                                  "the method 'read()'?");
+            }
 
-        if (this->data.empty()) {
-            THROW_LOGIC_ERROR("DataSet can not be created as there were no data read beforehand! Did you forget to call "
-                              "the method 'read()'?");
-        }
-
-        for (auto line : this->data) {
-            //TODO check empty values in data
-            std::vector<double> input;
-            for (auto           ind : *input_col_indices) {
-                std::string s;
-
-                try {
-                    /* Remove remaining spaces */
-                    s = line.at(ind);
-                    boost::algorithm::erase_all(s,
-                                                " ");
-
-                    /* Strip BOM */
-                    // TODO solve in another way - work properly with different encodings!
-                    boost::algorithm::erase_all(s,
-                                                "\uEFBBBF");  // UTF-8
-                    boost::algorithm::erase_all(s,
-                                                "\uFEFF");  // UTF-16
-
-                    /* Check, if the string is a number */
-                    auto tmp = boost::lexical_cast<double>(s);
-
-                    /* Add loaded number to the vector of inputs */
-                    input.push_back(tmp);
-
+            for (auto line : this->data) {
+                //TODO check empty values in data
+                std::vector<double> input;
+                for (auto           ind : *input_col_indices) {
+                    std::string s;
+
+                    try {
+                        /* Remove remaining spaces */
+                        s = line.at(ind);
+                        boost::algorithm::erase_all(s,
+                                                    " ");
+
+                        /* Strip BOM */
+                        // TODO solve in another way - work properly with different encodings!
+                        boost::algorithm::erase_all(s,
+                                                    "\uEFBBBF");  // UTF-8
+                        boost::algorithm::erase_all(s,
+                                                    "\uFEFF");  // UTF-16
+
+                        /* Check, if the string is a number */
+                        auto tmp = boost::lexical_cast<double>(s);
+
+                        /* Add loaded number to the vector of inputs */
+                        input.push_back(tmp);
+
+                    }
+                    catch (const std::out_of_range& e) {
+                        MPI_INTERRUPT
+                        THROW_OUT_OF_RANGE_ERROR("Non-existing index specified (" + std::to_string(ind) + ")!");
+
+                    }
+                    catch (const boost::bad_lexical_cast& e) {
+                        MPI_INTERRUPT
+                        THROW_RUNTIME_ERROR(
+                            "Value \"" + s + "\" is not numerical and so it cannot be used in Data Set!");
+                    }
                 }
-                catch (const std::out_of_range& e) {
-                    THROW_OUT_OF_RANGE_ERROR("Non-existing index specified (" + std::to_string(ind) + ")!");
 
+                std::vector<double> output;
+                for (auto           ind : *output_col_indices) {
+                    output.emplace_back(std::stod(line.at(ind)));
                 }
-                catch (const boost::bad_lexical_cast& e) {
-                    THROW_RUNTIME_ERROR(
-                        "Value \"" + s + "\" is not numerical and so it cannot be used in Data Set!");
-                }
-            }
 
-            std::vector<double> output;
-            for (auto           ind : *output_col_indices) {
-                output.emplace_back(std::stod(line.at(ind)));
+                data_set_contents.emplace_back(std::make_pair(input,
+                                                              output));
+                inp_dim = input.size();
+                out_dim = output.size();
             }
+        }
+        MPI_ERROR_CHECK
 
-            data_set_contents.emplace_back(std::make_pair(input,
-                                                          output));
+        MPI_Bcast( &inp_dim, 1, MPI_INT, 0, lib4neuro::mpi_active_comm );
+        MPI_Bcast( &out_dim, 1, MPI_INT, 0, lib4neuro::mpi_active_comm );
+
+        if( lib4neuro::mpi_rank == 0 ){
+            auto out = std::make_shared<DataSet>(DataSet(&data_set_contents));
+            out->MPI_redistribute_data();
+            return out;
+        }
+        else{
+            auto out = std::make_shared<DataSet>(DataSet( inp_dim, out_dim ));
+            out->MPI_redistribute_data();
+            return out;
         }
 
-        return std::make_shared<DataSet>(DataSet(&data_set_contents));
     }
 }
diff --git a/src/Reader/Reader.cpp b/src/Reader/Reader.cpp
index 069ca7a19959eec4a61d14790c6a0dff0dfa00c6..890d75c0c492236da751adee6581972f8d0e4e90 100644
--- a/src/Reader/Reader.cpp
+++ b/src/Reader/Reader.cpp
@@ -5,6 +5,8 @@
 #include <algorithm>
 #include <cctype>
 
+#include "../mpi_wrapper.h"
+
 #include "../exceptions.h"
 #include "Reader.h"
 
@@ -20,6 +22,10 @@ std::vector<std::vector<std::string>>* lib4neuro::Reader::get_data() {
 }
 
 void lib4neuro::Reader::print_data() {
+    if( lib4neuro::mpi_rank > 0 ){
+        return;
+    }
+
     for (auto line : this->data) {
         for (auto e : line) {
             std::cout << e << " ";
@@ -31,46 +37,50 @@ void lib4neuro::Reader::print_data() {
 void lib4neuro::Reader::read() {
     // TODO make filepath relative to an executable directory instead of the current one!
     // TODO https://www.boost.org/doc/libs/1_36_0/libs/filesystem/doc/reference.html#initial_path
-    std::ifstream ifs(this->file_path);
-	
-	if ( !ifs.is_open() ) {
-		// throw std::logic_error("File could not be opened! Possibly due to the lack of access privileges or an incorrect path.\n");
-		 THROW_LOGIC_ERROR( "File could not be opened! Possibly due to the lack of access privileges or an incorrect path.\n" );
-	}
-	
-    std::string   line;
-
-    if (this->ignore_first_line) {
-        std::getline(ifs,
-                     line);
-    }
+    if( lib4neuro::mpi_rank == 0 ){
+        std::ifstream ifs(this->file_path);
+
+        if ( !ifs.is_open() ) {
+            // throw std::logic_error("File could not be opened! Possibly due to the lack of access privileges or an incorrect path.\n");
+            MPI_INTERRUPT
+            THROW_LOGIC_ERROR( "File could not be opened! Possibly due to the lack of access privileges or an incorrect path.\n" );
+        }
 
-    /* Read single line from the file */
-    while (std::getline(ifs,
-                        line)) {
+        std::string   line;
 
-        /* Ignore empty line */
-        if (line == "") {
-            continue;
+        if (this->ignore_first_line) {
+            std::getline(ifs,
+                         line);
         }
 
-        /* Separate elements of the line according to the delimiter */
-        size_t                   last = 0;
-        size_t                   next = 0;
-        std::vector<std::string> separated_line;
-        while ((next = line.find(this->delimiter,
-                                 last)) != std::string::npos) {
-            separated_line.emplace_back(line.substr(last,
-                                                    next - last));
-            last = next + 1;
+        /* Read single line from the file */
+        while (std::getline(ifs,
+                            line)) {
+
+            /* Ignore empty line */
+            if (line == "") {
+                continue;
+            }
+
+            /* Separate elements of the line according to the delimiter */
+            size_t                   last = 0;
+            size_t                   next = 0;
+            std::vector<std::string> separated_line;
+            while ((next = line.find(this->delimiter,
+                                     last)) != std::string::npos) {
+                separated_line.emplace_back(line.substr(last,
+                                                        next - last));
+                last = next + 1;
+            }
+            separated_line.emplace_back(line.substr(last));
+
+            /* Store the elements from the line to the vector with data */
+            this->data.emplace_back(separated_line);
         }
-        separated_line.emplace_back(line.substr(last));
 
-        /* Store the elements from the line to the vector with data */
-        this->data.emplace_back(separated_line);
+        ifs.close();
     }
-
-    ifs.close();
+    MPI_ERROR_CHECK
 }
 
 void lib4neuro::Reader::remove_white_characters_from_vector(std::vector<std::string>& v) {
diff --git a/src/Reader/XYZReader.cpp b/src/Reader/XYZReader.cpp
index 974eb33006c8fad1c30ea85da0663725e8a033f1..849d92dcd9903e7f00acd3a126c4c8640714ea33 100644
--- a/src/Reader/XYZReader.cpp
+++ b/src/Reader/XYZReader.cpp
@@ -2,6 +2,9 @@
 // Created by martin on 16.08.19.
 //
 
+#include "../mpi_wrapper.h"
+#include "../message.h"
+
 #include "XYZReader.h"
 #include "../exceptions.h"
 
@@ -16,91 +19,157 @@ lib4neuro::XYZReader::XYZReader(const std::string& file_path, bool ignore_charge
 
 std::shared_ptr<lib4neuro::DataSet> lib4neuro::XYZReader::get_data_set() {
 
-    if(this->data_set == nullptr) {
-
-        std::vector<std::pair<std::vector<double>, std::vector<double>>> data_set_contents;
-
-        if (this->data.empty()) {
-            THROW_LOGIC_ERROR("DataSet can not be created as there were no data read beforehand! Did you forget to call "
-                              "the method 'read()'?");
-        }
+    std::vector<std::pair<std::vector<double>, std::vector<double>>> data_set_contents;
+    int inp_dim = 0;
+    int out_dim = 0;
+    int n_clusters = 0;
+    int n_elements = 0;
+    if( lib4neuro::mpi_rank == 0 ){
+        if(this->data_set == nullptr) {
 
-        unsigned int n_configurations;
-        unsigned int n_particles;
 
-        std::vector<double> inputs, outputs;
-
-        /* Read number of configurations */
-        std::vector<std::string> line = this->data.at(0);
-        this->remove_white_characters_from_vector(line);
-        n_configurations = std::stoul(line.at(0));
-        data_set_contents.reserve(n_configurations);
+            if (this->data.empty()) {
+                MPI_INTERRUPT
+                THROW_LOGIC_ERROR("DataSet can not be created as there were no data read beforehand! Did you forget to call "
+                                  "the method 'read()'?");
+            }
 
-        /* Read number of particles per single configuration */
-        line = this->data.at(1);
-        this->remove_white_characters_from_vector(line);
-        n_particles = std::stoul(line.at(0));
+            unsigned int n_configurations;
+            unsigned int n_particles;
 
-        unsigned int situation;
+            std::vector<double> inputs, outputs;
 
-        for (size_t data_ind = 2; data_ind < this->data.size(); data_ind++) {
-            /* Read data for a new line */
-            line = this->data.at(data_ind);
+            /* Read number of configurations */
+            std::vector<std::string> line = this->data.at(0);
+            this->remove_white_characters_from_vector(line);
+            n_configurations = std::stoul(line.at(0));
+            data_set_contents.reserve(n_configurations);
 
-            /* Remove empty strings from the line vector left after "split */
+            /* Read number of particles per single configuration */
+            line = this->data.at(1);
             this->remove_white_characters_from_vector(line);
+            n_particles = std::stoul(line.at(0));
+            COUT_INFO( "# of particles in cluster: " << n_particles);
+            COUT_INFO( "# of various particles: " << n_configurations);
 
-            situation = data_ind % (n_particles + 2);
-            if (situation == 1) {
-                data_set_contents.emplace_back(std::make_pair(inputs,
-                                                              outputs));
-                inputs.clear();
-                outputs.clear();
-            } else if (situation == 2) {
-                /* Save energy as a network output */
-                outputs = {std::stod(line.at(0))};
-                if(line.size() == 2) {
-                    /* Ignore data about added temperature */
-                    // TODO make more flexible - we can use it sometimes!
-                    outputs = {std::stod(line.at(1))};
-                }
+            unsigned int situation;
 
-            } else {
-                /* Save element symbol */
-                if(this->element_list->size() < n_particles) {
-                    this->element_list->emplace_back(this->get_element_symbol(line.at(0)));
-                }
+            for (size_t data_ind = 2; data_ind < this->data.size(); data_ind++) {
+                /* Read data for a new line */
+                line = this->data.at(data_ind);
 
-                /* Save coordinates */
-                for (size_t i = 1; i < line.size(); i++) {
-                    inputs.emplace_back(std::stod(line.at(i)));
-                }
+                /* Remove empty strings from the line vector left after "split */
+                this->remove_white_characters_from_vector(line);
 
-                if (data_ind == this->data.size() - 1) {
+                situation = data_ind % (n_particles + 2);
+                if (situation == 1) {
                     data_set_contents.emplace_back(std::make_pair(inputs,
                                                                   outputs));
+    //                std::cout << "[" << data_set_contents.size() << "] inputs: ";
+    //                for( auto el: inputs ){
+    //                    std::cout << el << ", ";
+    //                }
+    //                std::cout << "outputs: ";
+    //                for( auto el: outputs ){
+    //                    std::cout << el << ", ";
+    //                }
+    //                std::cout << std::endl;
+
                     inputs.clear();
                     outputs.clear();
+                } else if (situation == 2) {
+                    /* Save energy as a network output */
+                    outputs = {std::stod(line.at(0))};
+                    if(line.size() == 2) {
+                        /* Ignore data about added temperature */
+                        // TODO make more flexible - we can use it sometimes!
+                        outputs = {std::stod(line.at(1))};
+                    }
+
+                } else {
+                    /* Save element symbol */
+                    if(this->element_list->size() < n_particles) {
+                        this->element_list->emplace_back(this->get_element_symbol(line.at(0)));
+                    }
+
+                    /* Save coordinates */
+                    for (size_t i = 1; i < line.size(); i++) {
+                        inputs.emplace_back(std::stod(line.at(i)));
+                    }
                 }
             }
-        }
+            data_set_contents.emplace_back(std::make_pair(inputs, outputs));
+            inp_dim = inputs.size();
+            out_dim = outputs.size();
+
+            inputs.clear();
+            outputs.clear();
+
+            /* Compute number of particles per element */
+            for(auto e : *this->element_list) {
+                if( this->n_particles_per_element[e] ) {
+                    this->n_particles_per_element[e]++;
+                } else {
+                    this->n_particles_per_element[e] = 1;
+                }
+            }
+            /* Is charge included in data? */
+            std::vector<std::string> tmp = this->data.at(3);
+            this->remove_white_characters_from_vector(tmp);
 
-        this->data_set = std::make_shared<DataSet>(DataSet(&data_set_contents));
 
-        /* Compute number of particles per element */
-        for(auto e : *this->element_list) {
-            if( this->n_particles_per_element[e] ) {
-                this->n_particles_per_element[e]++;
-            } else {
-                this->n_particles_per_element[e] = 1;
-            }
+            this->charge = (tmp.size() == 5 && this->ignore_charge == false) ? true : false;
+
+            n_clusters = data_set_contents.size( );
+            n_elements = this->element_list->size( );
         }
     }
+    MPI_ERROR_CHECK
+
+    MPI_Bcast( &inp_dim, 1, MPI_INT, 0, lib4neuro::mpi_active_comm );
+    MPI_Bcast( &out_dim, 1, MPI_INT, 0, lib4neuro::mpi_active_comm );
+    MPI_Bcast( &n_clusters, 1, MPI_INT, 0, lib4neuro::mpi_active_comm );
+    MPI_Bcast( &n_elements, 1, MPI_INT, 0, lib4neuro::mpi_active_comm );
+    MPI_Bcast( &this->charge, 1, MPI_INT, 0, lib4neuro::mpi_active_comm );
+    COUT_INFO("# number of clusters: " << n_clusters);
+
+    if( this->data_set == nullptr ){
+        /* synchronization of element list */
+        if( lib4neuro::mpi_rank == 0 ){
+            for( int i = 0; i < n_elements; ++i ){
+                int particle_idx = -1;
+                if(this->element_list->at(i) == ELEMENT_SYMBOL::He){
+                    particle_idx = 0;
+                }
+                else if(this->element_list->at(i) == ELEMENT_SYMBOL::N){
+                    particle_idx = 1;
+                }
+                MPI_Bcast( &particle_idx, 1, MPI_INT, 0, lib4neuro::mpi_active_comm );
+            }
+        }
+        else{
+            for( int i = 0; i < n_elements; ++i ){
+                int particle_idx;
+                MPI_Bcast( &particle_idx, 1, MPI_INT, 0, lib4neuro::mpi_active_comm );
+
+                if( particle_idx == 0 ){
+                    this->element_list->emplace_back(ELEMENT_SYMBOL::He);
+                }
+                else if( particle_idx == 1 ){
+                    this->element_list->emplace_back(ELEMENT_SYMBOL::N);
+                }
+            }
+        }
 
-    /* Is charge included in data? */
-    std::vector<std::string> tmp = this->data.at(3);
-    this->remove_white_characters_from_vector(tmp);
-    this->charge = (tmp.size() == 5 && this->ignore_charge == false) ? true : false;
+        /* data set creation */
+        if( lib4neuro::mpi_rank == 0 ){
+            this->data_set = std::make_shared<DataSet>(DataSet(&data_set_contents));
+        }
+        else{
+            this->data_set = std::make_shared<DataSet>(DataSet( inp_dim, out_dim ));
+        }
+        this->data_set->MPI_redistribute_data();
+    }
 
     return this->data_set;
 }
@@ -145,6 +214,7 @@ void lib4neuro::XYZReader::transform_input_to_acsf(std::unordered_map<ELEMENT_SY
             }
             particles.emplace_back(std::make_pair(el, cartesian_coords));
         }
+//        std::cout << "MPI[" << lib4neuro::mpi_rank << "]2" << std::endl;
 
         std::vector<std::vector<double>> coords_check;
         std::vector<double> single_coords_check;
@@ -158,6 +228,7 @@ void lib4neuro::XYZReader::transform_input_to_acsf(std::unordered_map<ELEMENT_SY
             }
             coords_check.emplace_back(single_coords_check);
         }
+//        std::cout << "MPI[" << lib4neuro::mpi_rank << "]3" << std::endl;
 
 //        for(auto e : coords_check) {
 //            for(auto ee : e) {
@@ -170,6 +241,7 @@ void lib4neuro::XYZReader::transform_input_to_acsf(std::unordered_map<ELEMENT_SY
         std::vector<std::vector<double>> unique_coords = coords_check;
         std::sort(unique_coords.begin(), unique_coords.end());
         unique_coords.erase(std::unique(unique_coords.begin(), unique_coords.end()), unique_coords.end());
+//        std::cout << "MPI[" << lib4neuro::mpi_rank << "]4" << std::endl;
 
         if(unique_coords.size() != coords_check.size()) {
 //            for(auto e : coords_check) {
@@ -178,8 +250,10 @@ void lib4neuro::XYZReader::transform_input_to_acsf(std::unordered_map<ELEMENT_SY
 //                }
 //                std::cout << std::endl;
 //            }
+            MPI_INTERRUPT
             THROW_RUNTIME_ERROR("Not all descriptors are unique with currently specified symmetry functions!");
         }
+//        std::cout << "MPI[" << lib4neuro::mpi_rank << "]5" << std::endl;
 
 //        if(this->acsf_data_set == nullptr) {
 //            this->acsf_data_set = std::make_shared<DataSet>();
@@ -188,12 +262,15 @@ void lib4neuro::XYZReader::transform_input_to_acsf(std::unordered_map<ELEMENT_SY
         this->acsf_data_set->add_data_pair(acsf_coords, configuration.second);
         acsf_coords.clear();
     }
+    MPI_ERROR_CHECK
 }
 
 std::shared_ptr<lib4neuro::DataSet> lib4neuro::XYZReader::get_acsf_data_set() {
     if(acsf_data_set == nullptr) {
+        MPI_INTERRUPT
         THROW_LOGIC_ERROR("No ACSF data set was found!");
     }
+    MPI_ERROR_CHECK
     return this->acsf_data_set;
 }
 
diff --git a/src/Reader/XYZReader.h b/src/Reader/XYZReader.h
index c077418448e2dea8a7d4605f655474e68e0212e4..3a81ce8af96f51ba9c2642ef2bd583cb6ae23baa 100644
--- a/src/Reader/XYZReader.h
+++ b/src/Reader/XYZReader.h
@@ -19,9 +19,9 @@
 namespace lib4neuro {
     class XYZReader : public Reader {
     protected:
-        bool charge;
+        int charge;
 
-        bool ignore_charge;
+        int ignore_charge;
 
         std::shared_ptr<DataSet> acsf_data_set;
 
diff --git a/src/SymmetryFunction/ACSFParametersOptimizer.cpp b/src/SymmetryFunction/ACSFParametersOptimizer.cpp
index 67b9dc3fcc960ed1baa9741f48726b3afa7f5699..2c10520f5107b59c32bcc9deb3d0bdf6d48254f1 100644
--- a/src/SymmetryFunction/ACSFParametersOptimizer.cpp
+++ b/src/SymmetryFunction/ACSFParametersOptimizer.cpp
@@ -10,6 +10,8 @@
 
 #include <boost/functional/hash.hpp>
 
+#include "../mpi_wrapper.h"
+
 #include "LearningMethods/LevenbergMarquardt.h"
 #include "Reader/XYZReader.h"
 #include "../exceptions.h"
@@ -62,6 +64,7 @@ void lib4neuro::ACSFParametersOptimizer::fit_ACSF_parameters(std::vector<SYMMETR
     FullyConnectedFFN nn(&neuron_numbers, &type_hidden_neurons);
 
     /* Initial parameters' values */
+    // TODO take care of parameters' boundaries
     std::unordered_map<SYMMETRY_FUNCTION_PARAMETER, double> init_param_values;
     std::normal_distribution<> d{1, 0.085};  // TODO make probability distribution choice more flexible by adding function parameters
     std::uniform_real_distribution<> d_uni(0, 2);
@@ -76,9 +79,14 @@ void lib4neuro::ACSFParametersOptimizer::fit_ACSF_parameters(std::vector<SYMMETR
                                   fitted_params.end(),
                                   param.first) != fitted_params.end()) {
                         if (param.first == SYMMETRY_FUNCTION_PARAMETER::SHIFT_MAX) {
+
+                            float val = d_uni(gen);
+                            MPI_Bcast( &val, 1, MPI_FLOAT, 0, lib4neuro::mpi_active_comm);
                             func->set_parameter(param.first,
-                                                shift_max_vals.at((int) (d_uni(gen))));
+                                                shift_max_vals.at((int)(val)));
                         } else {
+                            float val = d(gen);
+                            MPI_Bcast( &val, 1, MPI_FLOAT, 0, lib4neuro::mpi_active_comm);
                             func->set_parameter(param.first,
                                                 d(gen));
                         }
@@ -98,6 +106,7 @@ void lib4neuro::ACSFParametersOptimizer::fit_ACSF_parameters(std::vector<SYMMETR
 
     MSE mse_init(&nn, this->data_set);
     previous_error = mse_init.eval();
+    MPI_Allreduce( MPI_IN_PLACE, &previous_error, 1, MPI_DOUBLE, MPI_SUM, lib4neuro::mpi_active_comm );
 
     /* Iteratively improve the parameters */
     unsigned int iter_ind = 0;
@@ -113,12 +122,16 @@ void lib4neuro::ACSFParametersOptimizer::fit_ACSF_parameters(std::vector<SYMMETR
                                       fitted_params.end(),
                                       param.first) != fitted_params.end()) {
                             if (param.first == SYMMETRY_FUNCTION_PARAMETER::SHIFT_MAX) {
+                                float val = d_uni(gen);
+                                MPI_Bcast( &val, 1, MPI_FLOAT, 0, lib4neuro::mpi_active_comm);
                                 func->set_parameter(param.first,
-                                                    shift_max_vals.at((int) (d_uni(gen))));
+                                                    shift_max_vals.at((int) (val)));
                             } else {
                                 std::normal_distribution<> dd{param.second, distribution_stddev};
+                                float val = dd(gen);
+                                MPI_Bcast( &val, 1, MPI_FLOAT, 0, lib4neuro::mpi_active_comm);
                                 func->set_parameter(param.first,
-                                                    dd(gen));
+                                                    val);
                             }
                         }
                     }
@@ -141,12 +154,58 @@ void lib4neuro::ACSFParametersOptimizer::fit_ACSF_parameters(std::vector<SYMMETR
                 arma::solve(*this->data_set->get_inputs_matrix(),
                             *this->data_set->get_outputs_matrix(),
                             arma::solve_opts::fast));
+            /* average over all processes, ASSUMES ALL PROCESSES HAVE SOME DATA */
+            MPI_Allreduce( MPI_IN_PLACE, &new_weights[0], new_weights.size(), MPI_DOUBLE, MPI_SUM, lib4neuro::mpi_active_comm );
+            for( size_t i = 0; i < new_weights.size(); ++i ){
+                new_weights[ i ] /= lib4neuro::mpi_nranks;
+            }
             nn.copy_parameter_space(&new_weights);
 
             current_error = mse.eval();
+            MPI_Allreduce( MPI_IN_PLACE, &current_error, 1, MPI_DOUBLE, MPI_SUM, lib4neuro::mpi_active_comm );
 
             /* Termination condition */
             if(current_error < termination_threshold) {
+//                /* Compute correlation of ACSFs */
+//                arma::Mat<double> inp_mat = *this->data_set->get_inputs_matrix();
+//                arma::Mat<double> m = arma::cor(inp_mat);
+////                m.print();
+//
+//                arma::Col<arma::uword> v = arma::find(m > 0.9);
+//                std::unordered_set<std::vector<unsigned long long>, boost::hash<std::vector<unsigned long long>>> correlation_indices;
+//                for(size_t k = 0; k < v.size(); k++) {
+//                    std::vector<unsigned long long> v_tmp = {v.at(k) % m.n_rows, (unsigned long long)(v.at(k) / m.n_rows)};
+//                    if(v_tmp.at(0) == v_tmp.at(1)) {
+//                        continue;
+//                    }
+//                    std::sort(v_tmp.begin(), v_tmp.end());
+//                    correlation_indices.insert(v_tmp);
+//                }
+//
+//                if(!correlation_indices.empty()) {
+//                    std::cout <<"WARNING: Following " << correlation_indices.size() << " symmetry function pairs correlate significantly (>0.9):" << std::endl;
+//                    unsigned int corr_ind = 0;
+//                    for(auto e : correlation_indices) {
+//                        std::cout << "{" << e.at(0) << ", " << e.at(1) << "} ";
+//                        if(corr_ind % 10 == 9) {
+//                            std::cout << std::endl;
+//                        }
+//                        corr_ind++;
+//                    }
+//                    std::cout << std::endl;
+//                } else {
+//                    COUT_INFO("Good news! ACSF descriptors do not seem to be correlated.");
+//                }
+//
+//                /* Print range (min & max) of every descriptor */
+//                COUT_INFO("Descriptors' ranges:");
+//                for(arma::uword k = 0; k < inp_mat.n_cols; k++) {
+//                    std::cout << k << ": <" << inp_mat.col(k).min() << ", " << inp_mat.col(k).max() << ">, ";
+//                    if(k % 4 == 3) {
+//                        std::cout << std::endl;
+//                    }
+//                }
+//
                 COUT_INFO("ACSF parameters were optimized after " + std::to_string(iter_ind+1) + " iterations. "
                           "Error of a linear model is: " + std::to_string(current_error) + ".");
 
@@ -183,45 +242,4 @@ void lib4neuro::ACSFParametersOptimizer::fit_ACSF_parameters(std::vector<SYMMETR
 
     COUT_INFO("Parameters optimization reached the maximal number of iterations (" + std::to_string(iter_ind-1)
               + "). The final error of a linear model is " + std::to_string(current_error) + ".");
-
-    /* Compute correlation of ACSFs */
-    std::cout << "Descriptors' correlation matrix:" << std::endl;
-    arma::Mat<double> inp_mat = *this->data_set->get_inputs_matrix();
-    arma::Mat<double> m = arma::cor(inp_mat);
-    m.print();
-
-    arma::Col<arma::uword> v = arma::find(m > 0.9);
-    std::unordered_set<std::vector<unsigned long long>, boost::hash<std::vector<unsigned long long>>> correlation_indices;
-    for(size_t k = 0; k < v.size(); k++) {
-        std::vector<unsigned long long> v_tmp = {v.at(k) % m.n_rows, (unsigned long long)(v.at(k) / m.n_rows)};
-        if(v_tmp.at(0) == v_tmp.at(1)) {
-            continue;
-        }
-        std::sort(v_tmp.begin(), v_tmp.end());
-        correlation_indices.insert(v_tmp);
-    }
-
-    if(!correlation_indices.empty()) {
-        std::cout <<"WARNING: Following " << correlation_indices.size() << " symmetry function pairs correlate significantly (>0.9):" << std::endl;
-        unsigned int corr_ind = 0;
-        for(auto e : correlation_indices) {
-            std::cout << "{" << e.at(0) << ", " << e.at(1) << "} ";
-            if(corr_ind % 10 == 9) {
-                std::cout << std::endl;
-            }
-            corr_ind++;
-        }
-        std::cout << std::endl;
-    } else {
-        COUT_INFO("Good news! ACSF descriptors do not seem to be correlated.");
-    }
-
-    /* Print range (min & max) of every descriptor */
-    COUT_INFO("Descriptors' ranges:");
-    for(arma::uword k = 0; k < inp_mat.n_cols; k++) {
-        std::cout << k << ": <" << inp_mat.col(k).min() << ", " << inp_mat.col(k).max() << ">, ";
-        if(k % 4 == 3) {
-            std::cout << std::endl;
-        }
-    }
 }
diff --git a/src/examples/CMakeLists.txt b/src/examples/CMakeLists.txt
index b1aa192b1631e61981b2b75d9c6639d6633c8a61..8dc0822c7489d5975998df9813d0e6b56fc08448 100644
--- a/src/examples/CMakeLists.txt
+++ b/src/examples/CMakeLists.txt
@@ -2,53 +2,53 @@
 # EXAMPLES #
 ############
 
-ADD_EXECUTABLE(seminar seminar.cpp)
-TARGET_LINK_LIBRARIES(seminar PUBLIC lib4neuro)
+#ADD_EXECUTABLE(seminar seminar.cpp)
+#TARGET_LINK_LIBRARIES(seminar PUBLIC lib4neuro)
 
 ADD_EXECUTABLE(dev_sandbox dev_sandbox.cpp)
 TARGET_LINK_LIBRARIES(dev_sandbox PUBLIC lib4neuro)
 
-ADD_EXECUTABLE(net_test_1 net_test_1.cpp)
-TARGET_LINK_LIBRARIES(net_test_1 PUBLIC lib4neuro)
+#ADD_EXECUTABLE(net_test_1 net_test_1.cpp)
+#TARGET_LINK_LIBRARIES(net_test_1 PUBLIC lib4neuro)
 
-ADD_EXECUTABLE(net_test_2 net_test_2.cpp)
-TARGET_LINK_LIBRARIES(net_test_2 PUBLIC lib4neuro)
+#ADD_EXECUTABLE(net_test_2 net_test_2.cpp)
+#TARGET_LINK_LIBRARIES(net_test_2 PUBLIC lib4neuro)
 
-ADD_EXECUTABLE(net_test_3 net_test_3.cpp)
-TARGET_LINK_LIBRARIES(net_test_3 PUBLIC lib4neuro)
+#ADD_EXECUTABLE(net_test_3 net_test_3.cpp)
+#TARGET_LINK_LIBRARIES(net_test_3 PUBLIC lib4neuro)
 
-ADD_EXECUTABLE(net_test_ode_1 net_test_ode_1.cpp)
-TARGET_LINK_LIBRARIES(net_test_ode_1 PUBLIC lib4neuro)
+#ADD_EXECUTABLE(net_test_ode_1 net_test_ode_1.cpp)
+#TARGET_LINK_LIBRARIES(net_test_ode_1 PUBLIC lib4neuro)
 
-ADD_EXECUTABLE(net_test_pde_1 net_test_pde_1.cpp)
-TARGET_LINK_LIBRARIES(net_test_pde_1 PUBLIC lib4neuro)
+#ADD_EXECUTABLE(net_test_pde_1 net_test_pde_1.cpp)
+#TARGET_LINK_LIBRARIES(net_test_pde_1 PUBLIC lib4neuro)
 
-ADD_EXECUTABLE(network_serialization network_serialization.cpp)
-TARGET_LINK_LIBRARIES(network_serialization PUBLIC lib4neuro)
+#ADD_EXECUTABLE(network_serialization network_serialization.cpp)
+#TARGET_LINK_LIBRARIES(network_serialization PUBLIC lib4neuro)
 
-ADD_EXECUTABLE(test_harmonic_oscilator net_test_harmonic_oscilator.cpp)
-TARGET_LINK_LIBRARIES(test_harmonic_oscilator PUBLIC lib4neuro)
+#ADD_EXECUTABLE(test_harmonic_oscilator net_test_harmonic_oscilator.cpp)
+#TARGET_LINK_LIBRARIES(test_harmonic_oscilator PUBLIC lib4neuro)
 
-ADD_EXECUTABLE(x2_fitting x2_fitting.cpp)
-TARGET_LINK_LIBRARIES(x2_fitting PUBLIC lib4neuro)
+#ADD_EXECUTABLE(x2_fitting x2_fitting.cpp)
+#TARGET_LINK_LIBRARIES(x2_fitting PUBLIC lib4neuro)
 
-ADD_EXECUTABLE(acsf acsf.cpp)
-TARGET_LINK_LIBRARIES(acsf PUBLIC lib4neuro)
+#ADD_EXECUTABLE(acsf acsf.cpp)
+#TARGET_LINK_LIBRARIES(acsf PUBLIC lib4neuro)
 
 SET(EXAMPLES_OUTPUT_DIR ${PROJECT_BINARY_DIR}/examples)
 
 SET_TARGET_PROPERTIES(
     dev_sandbox
-    net_test_1
-    net_test_2
-    net_test_3
-    net_test_ode_1
-    net_test_pde_1
-    network_serialization
-    test_harmonic_oscilator
-    seminar
-    x2_fitting
-    acsf
+    #net_test_1
+    #net_test_2
+    #net_test_3
+    #net_test_ode_1
+    #net_test_pde_1
+    #network_serialization
+    #test_harmonic_oscilator
+    #seminar
+    #x2_fitting
+    #acsf
 
     PROPERTIES
     ARCHIVE_OUTPUT_DIRECTORY $<1:${EXAMPLES_OUTPUT_DIR}>
@@ -57,11 +57,11 @@ SET_TARGET_PROPERTIES(
     INCLUDE_DIRECTORIES ${ROOT_DIR}/include
 )
 
-TARGET_INCLUDE_DIRECTORIES(
-    net_test_3
-    PRIVATE
-    ${Boost_INCLUDE_DIRS}
-)
+#TARGET_INCLUDE_DIRECTORIES(
+#    net_test_3
+#    PRIVATE
+#    ${Boost_INCLUDE_DIRS}
+#)
 
 TARGET_INCLUDE_DIRECTORIES(
     dev_sandbox
diff --git a/src/examples/acsf.cpp b/src/examples/acsf.cpp
index 3210a9636b31fe3e7a8f2e3a9addf6b3f6477dbf..6b91dca3caba62e131a5055484c7684f81ed2151 100644
--- a/src/examples/acsf.cpp
+++ b/src/examples/acsf.cpp
@@ -4,7 +4,7 @@
 
 #define ARMA_ALLOW_FAKE_GCC
 
-#include <4neuro.h>
+#include <4neuro_public.h>
 
 void optimize_via_particle_swarm(l4n::NeuralNetwork& net,
                                  l4n::ErrorFunction& ef) {
@@ -244,4 +244,4 @@ int main() {
     }
 
     return 0;
-}
\ No newline at end of file
+}
diff --git a/src/examples/acsf2.cpp b/src/examples/acsf2.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..d4fca3e75e43a983636bbd5c30f449caf5db36aa
--- /dev/null
+++ b/src/examples/acsf2.cpp
@@ -0,0 +1,216 @@
+//
+// Created by martin on 20.08.19.
+//
+#include <exception>
+
+#include <4neuro_public.h>
+
+void optimize_via_particle_swarm(l4n::NeuralNetwork& net,
+                                 l4n::ErrorFunction& ef) {
+
+    /* TRAINING METHOD SETUP */
+    std::vector<double> domain_bounds(2 * (net.get_n_weights() + net.get_n_biases()));
+
+    for (size_t i = 0; i < domain_bounds.size() / 2; ++i) {
+        domain_bounds[2 * i]     = -10;
+        domain_bounds[2 * i + 1] = 10;
+    }
+
+    double c1          = 1.7;
+    double c2          = 1.7;
+    double w           = 0.7;
+    size_t n_particles = 100;
+    size_t iter_max    = 30;
+
+    /* if the maximal velocity from the previous step is less than 'gamma' times the current maximal velocity, then one
+     * terminating criterion is met */
+    double gamma = 0.5;
+
+    /* if 'delta' times 'n' particles are in the centroid neighborhood given by the radius 'epsilon', then the second
+     * terminating criterion is met ('n' is the total number of particles) */
+    double epsilon = 0.02;
+    double delta   = 0.7;
+
+    l4n::ParticleSwarm swarm_01(
+        &domain_bounds,
+        c1,
+        c2,
+        w,
+        gamma,
+        epsilon,
+        delta,
+        n_particles,
+        iter_max
+    );
+    swarm_01.optimize(ef);
+
+    net.copy_parameter_space(swarm_01.get_parameters());
+
+    /* ERROR CALCULATION */
+    std::cout << "Run finished! Error of the network[Particle swarm]: " << ef.eval(nullptr) << std::endl;
+    std::cout
+        << "***********************************************************************************************************************"
+        << std::endl;
+}
+
+double optimize_via_gradient_descent(l4n::NeuralNetwork& net,
+                                   l4n::ErrorFunction& ef) {
+
+    std::cout
+        << "***********************************************************************************************************************"
+        << std::endl;
+    l4n::GradientDescentBB gd(1e-6,
+                              1000);
+
+    gd.optimize(ef);
+
+    net.copy_parameter_space(gd.get_parameters());
+
+    /* ERROR CALCULATION */
+    double err = ef.eval(nullptr);
+    std::cout << "Run finished! Error of the network[Gradient descent]: " << err << std::endl;
+
+    /* Just for validation test purposes - NOT necessary for the example to work! */
+    return err;
+}
+
+double optimize_via_LBMQ(l4n::NeuralNetwork& net,
+                                   l4n::ErrorFunction& ef) {
+
+	size_t max_iterations = 10000;
+	size_t batch_size = 0;
+	double tolerance = 1e-6;
+	double tolerance_gradient = tolerance;
+	double tolerance_parameters = tolerance;
+
+    std::cout
+        << "***********************************************************************************************************************"
+        << std::endl;
+    l4n::LevenbergMarquardt lm(
+						   max_iterations,
+                           batch_size,
+                           tolerance,
+                           tolerance_gradient,
+                           tolerance_parameters
+						   );
+
+    lm.optimize(ef);
+
+    net.copy_parameter_space(lm.get_parameters());
+
+    /* ERROR CALCULATION */
+    double err = ef.eval(nullptr);
+    // std::cout << "Run finished! Error of the network[Levenberg-Marquardt]: " << err << std::endl;
+
+    /* Just for validation test purposes - NOT necessary for the example to work! */
+	return err;
+}
+
+int main() {
+
+    try{
+
+        /* Specify cutoff functions */
+        l4n::CutoffFunction1 cutoff1(10.1);
+        l4n::CutoffFunction2 cutoff2(12.5);
+        l4n::CutoffFunction2 cutoff3(15.2);
+        l4n::CutoffFunction2 cutoff4(10.3);
+        l4n::CutoffFunction2 cutoff5(12.9);
+
+        /* Specify symmetry functions */
+        l4n::G1 sym_f1(&cutoff1);
+        l4n::G2 sym_f2(&cutoff2, 0.15, 0.75);
+        l4n::G2 sym_f3(&cutoff3, 0.1, 0.2);
+        l4n::G3 sym_f4(&cutoff4, 0.3);
+        l4n::G4 sym_f5(&cutoff5, 0.05, true, 0.05);
+        l4n::G4 sym_f6(&cutoff5, 0.05, false, 0.05);
+
+        std::vector<l4n::SymmetryFunction*> helium_sym_funcs = {&sym_f1, &sym_f2, &sym_f3, &sym_f4, &sym_f5, &sym_f6};
+
+        l4n::Element helium = l4n::Element("He",
+                                           helium_sym_funcs);
+        std::unordered_map<l4n::ELEMENT_SYMBOL, l4n::Element*> elements;
+        elements[l4n::ELEMENT_SYMBOL::He] = &helium;
+
+        /* Read data */
+        l4n::XYZReader reader("../../data/HE4+T0.xyz");
+        reader.read();
+
+        std::cout << "Finished reading data" << std::endl;
+
+        std::shared_ptr<l4n::DataSet> ds = reader.get_acsf_data_set(elements);
+
+        /* Create a neural network */
+        std::unordered_map<l4n::ELEMENT_SYMBOL, std::vector<unsigned int>> n_hidden_neurons;
+        n_hidden_neurons[l4n::ELEMENT_SYMBOL::He] = {2, 1};
+
+        std::unordered_map<l4n::ELEMENT_SYMBOL, std::vector<l4n::NEURON_TYPE>> type_hidden_neurons;
+        type_hidden_neurons[l4n::ELEMENT_SYMBOL::He] = {l4n::NEURON_TYPE::LOGISTIC, l4n::NEURON_TYPE::LINEAR};
+
+        l4n::ACSFNeuralNetwork net(elements, *reader.get_element_list(), reader.contains_charge(), n_hidden_neurons, type_hidden_neurons);
+//        l4n::NeuralNetwork net;
+//        std::vector<std::shared_ptr<l4n::NeuronLinear>> inps;
+//        std::vector<size_t> inps_inds;
+//        for(unsigned int i = 0; i < 126; i++) {
+//            std::shared_ptr<l4n::NeuronLinear> inp = std::make_shared<l4n::NeuronLinear>();
+//            inps.emplace_back(inp);
+//            inps_inds.emplace_back(net.add_neuron(inp, l4n::BIAS_TYPE::NO_BIAS));
+//        }
+//
+//        net.specify_input_neurons(inps_inds);
+//
+//        std::vector<std::shared_ptr<l4n::NeuronLogistic>> hids;
+//
+//        std::vector<unsigned int> hids_idxs;
+//        size_t idx;
+//        unsigned int n_hidden = 5;
+//        for(unsigned int i = 0; i < n_hidden; i++) {
+//            std::shared_ptr<l4n::NeuronLogistic> hid = std::make_shared<l4n::NeuronLogistic>();
+//            hids.emplace_back(hid);
+//            idx = net.add_neuron(hid, l4n::BIAS_TYPE::NEXT_BIAS);
+//            hids_idxs.emplace_back(idx);
+//
+//            for(unsigned int j = 0; j < 126; j++) {
+//                net.add_connection_simple(j, idx);
+//            }
+//        }
+//
+//        std::shared_ptr<l4n::NeuronLinear> out = std::make_shared<l4n::NeuronLinear>();
+//        idx = net.add_neuron(out, l4n::BIAS_TYPE::NO_BIAS);
+//        std::vector<size_t> out_inds = {idx};
+//        for(unsigned int i = 0; i < n_hidden; i++) {
+//            net.add_connection_simple(hids_idxs.at(i), idx);
+//        }
+//        net.specify_output_neurons(out_inds);
+
+        l4n::MSE mse(&net, ds.get());
+
+        net.randomize_parameters();
+        // optimize_via_particle_swarm(net, mse);
+        double err1 = optimize_via_LBMQ(net, mse);
+        double err2 = optimize_via_gradient_descent(net, mse);
+
+		if(err2 > 0.00001) {
+			throw std::runtime_error("Training was incorrect!");
+		}
+
+        /* Print fit comparison with real data */
+        std::vector<double> output;
+        output.resize(1);
+
+        for(auto e : *ds->get_data()) {
+            for(auto inp_e : e.first) {
+                std::cout << inp_e << " ";
+            }
+            std::cout << e.second.at(0) << " ";
+            net.eval_single(e.first, output);
+            std::cout << output.at(0) << std::endl;
+        }
+
+    } catch (const std::exception& e) {
+        std::cerr << e.what() << std::endl;
+        exit(EXIT_FAILURE);
+    }
+
+    return 0;
+}
diff --git a/src/examples/dev_sandbox.cpp b/src/examples/dev_sandbox.cpp
index 57fb9805104a519bd9f4183db7efdd7686369443..00dd1e018fe885d90e009d587ab3b69ae6a08975 100644
--- a/src/examples/dev_sandbox.cpp
+++ b/src/examples/dev_sandbox.cpp
@@ -3,9 +3,9 @@
 //
 
 #define ARMA_ALLOW_FAKE_GCC
-
 #include <4neuro.h>
 
+
 void optimize_via_particle_swarm(l4n::NeuralNetwork& net,
                                  l4n::ErrorFunction& ef) {
 
@@ -60,17 +60,22 @@ double optimize_via_gradient_descent(l4n::NeuralNetwork& net,
     std::cout
         << "***********************************************************************************************************************"
         << std::endl;
-    l4n::GradientDescentBB gd(1e-6,
-                              1000,
-                              10000);
 
-    gd.optimize(ef);
+//    for( double tol = 1e-1; tol > 1e-6; tol *= 1e-1 ){
+        l4n::GradientDescentBB gd(1e-4,
+                                  1000,
+                                  100000);
+
+        l4n::LazyLearning lazy_wrapper( gd, 1e-4 );
+        lazy_wrapper.optimize(ef);
+//    }
+//    gd.optimize(ef);
 
-    net.copy_parameter_space(gd.get_parameters());
+//    net.copy_parameter_space(gd.get_parameters());
 
     /* ERROR CALCULATION */
     double err = ef.eval(nullptr);
-    std::cout << "Run finished! Error of the network[Gradient descent]: " << err << std::endl;
+    COUT_INFO("Run finished! Error of the network[Gradient descent]: " << err );
 
     /* Just for validation test purposes - NOT necessary for the example to work! */
     return err;
@@ -79,26 +84,33 @@ double optimize_via_gradient_descent(l4n::NeuralNetwork& net,
 double optimize_via_LBMQ(l4n::NeuralNetwork& net,
                          l4n::ErrorFunction& ef) {
 
-    size_t max_iterations = 10000;
+    size_t max_iterations = 1000;
     size_t batch_size = 0;
     double tolerance = 1e-4;
-    double tolerance_gradient = tolerance;
-    double tolerance_parameters = tolerance;
+    double tolerance_gradient = tolerance * 1e-6;
+    double tolerance_parameters = tolerance * 1e-6;
 
     std::cout
         << "***********************************************************************************************************************"
         << std::endl;
-    l4n::LevenbergMarquardt lm(
-        max_iterations,
-        batch_size,
-        tolerance,
-        tolerance_gradient,
-        tolerance_parameters
-    );
+//    for( double tol = 1; tol > tolerance; tol *= 0.5 ){
+        l4n::LevenbergMarquardt lm(
+            max_iterations,
+            batch_size,
+            tolerance,
+            tolerance_gradient,
+            tolerance_parameters
+        );
+
+        l4n::LazyLearning lazy_wrapper( lm, tolerance );
+        lazy_wrapper.optimize(ef);
+//        lm.optimize(ef);
+//        break;
+//    }
 
-    lm.optimize(ef);
+//    lm.optimize( ef );
 
-    net.copy_parameter_space(lm.get_parameters());
+   // net.copy_parameter_space(lm.get_parameters());
 
     /* ERROR CALCULATION */
     double err = ef.eval(nullptr);
@@ -109,7 +121,7 @@ double optimize_via_LBMQ(l4n::NeuralNetwork& net,
 }
 
 double optimize_via_NelderMead(l4n::NeuralNetwork& net, l4n::ErrorFunction& ef) {
-    l4n::NelderMead nm(500, 150);
+    l4n::NelderMead nm(500, 200);
 
     nm.optimize(ef);
     net.copy_parameter_space(nm.get_parameters());
@@ -125,53 +137,38 @@ double optimize_via_NelderMead(l4n::NeuralNetwork& net, l4n::ErrorFunction& ef)
 
 
 int main() {
-
+	MPI_INIT
     try{
 
-        /* Specify cutoff functions */
-//        l4n::CutoffFunction1 cutoff1(10.1);
+         /* Specify cutoff functions */
         l4n::CutoffFunction2 cutoff2(8);
-        //l4n::CutoffFunction2 cutoff2(25);
-//        l4n::CutoffFunction2 cutoff2(15.2);
-//        l4n::CutoffFunction2 cutoff4(10.3);
-//        l4n::CutoffFunction2 cutoff5(12.9);
-//        l4n::CutoffFunction2 cutoff6(11);
 
         /* Specify symmetry functions */
-        l4n::G2 sym_f1(&cutoff2, 1.9, 0.7);
-        l4n::G2 sym_f2(&cutoff2, 2.09, 0.8);
-        l4n::G2 sym_f3(&cutoff2, 0.01, 0.04);
-        l4n::G2 sym_f4(&cutoff2, 0.02, 0.04);
-        l4n::G2 sym_f5(&cutoff2, 2.09, 0.04);
-        l4n::G2 sym_f6(&cutoff2, 2.09, 0.04);
-        l4n::G2 sym_f7(&cutoff2, 2.09, 0.04);
-
-//        l4n::G3 sym_f4(&cutoff4, 0.3);
-//        l4n::G4 sym_f5(&cutoff5, 0.05, true, 0.05);
-//        l4n::G4 sym_f6(&cutoff5, 0.05, false, 0.05);
-//        l4n::G4 sym_f7(&cutoff6, 0.5, true, 0.05);
-//        l4n::G4 sym_f8(&cutoff6, 0.5, false, 0.05);
-
-        l4n::G5 sym_f8(&cutoff2, 2.1, -1, 0.9);
-        l4n::G5 sym_f9(&cutoff2, 2.1, -1, 0.9);
-        l4n::G5 sym_f10(&cutoff2, 2.1, -1, 0.9);
-        l4n::G5 sym_f11(&cutoff2, 2.1, -1, 0.9);
-        l4n::G5 sym_f12(&cutoff2, 2.1, -1, 0.9);
-        l4n::G5 sym_f13(&cutoff2, 2.1, -1, 0.9);
+        l4n::G2 sym_f1(&cutoff2, 0.00, 0);
+        l4n::G2 sym_f2(&cutoff2, 0.02, 1);
+        l4n::G2 sym_f3(&cutoff2, 0.04, 2);
+        l4n::G2 sym_f4(&cutoff2, 0.06, 3);
+        l4n::G2 sym_f5(&cutoff2, 0.08, 4);
+        l4n::G2 sym_f6(&cutoff2, 0.10, 5);
+        l4n::G2 sym_f7(&cutoff2, 0.12, 6);
+        l4n::G2 sym_f8(&cutoff2, 0.14, 7);
+        l4n::G2 sym_f9(&cutoff2, 0.16, 8);
+
+        l4n::G5 sym_f10(&cutoff2, 0, -1, 0);
+        l4n::G5 sym_f11(&cutoff2, 0, -1, 3);
+        l4n::G5 sym_f12(&cutoff2, 0, -1, 6);
+        l4n::G5 sym_f13(&cutoff2, 0, -1, 9);
+        l4n::G5 sym_f14(&cutoff2, 0, -1, 12);
+        l4n::G5 sym_f15(&cutoff2, 0, -1, 15);
+
 
         std::vector<l4n::SymmetryFunction*> helium_sym_funcs = {&sym_f1,
                                                                 &sym_f2,
                                                                 &sym_f3,
                                                                 &sym_f4,
                                                                 &sym_f5,
-                                                                &sym_f6,
-                                                                &sym_f7,
-                                                                &sym_f8,
-                                                                &sym_f9,
-                                                                &sym_f10,
-                                                                &sym_f11,
-                                                                &sym_f12,
-                                                                &sym_f13};
+                                                                &sym_f6
+															};
 
         l4n::Element helium = l4n::Element("He",
                                            helium_sym_funcs);
@@ -179,23 +176,24 @@ int main() {
         elements[l4n::ELEMENT_SYMBOL::He] = &helium;
 
         /* Read data */
-        l4n::XYZReader reader("/home/martin/Desktop/HE4+T1.xyz", true);
+        l4n::XYZReader reader("../../data/HE4+T0_000050.xyz", true);
         reader.read();
 
-        std::cout << "Finished reading data" << std::endl;
+        COUT_INFO( "Finished reading data" );
 
-        std::shared_ptr<l4n::DataSet> ds = reader.get_acsf_data_set(elements);
+        std::shared_ptr<l4n::DataSet> ds = reader.get_acsf_data_set( elements );
+//         ds->print_data();
 
         /* Create a neural network */
         std::unordered_map<l4n::ELEMENT_SYMBOL, std::vector<unsigned int>> n_hidden_neurons;
-        n_hidden_neurons[l4n::ELEMENT_SYMBOL::He] = {20, 20, 1};
+        n_hidden_neurons[l4n::ELEMENT_SYMBOL::He] = {10, 6, 1};
 
         std::unordered_map<l4n::ELEMENT_SYMBOL, std::vector<l4n::NEURON_TYPE>> type_hidden_neurons;
         type_hidden_neurons[l4n::ELEMENT_SYMBOL::He] = {l4n::NEURON_TYPE::LOGISTIC, l4n::NEURON_TYPE::LOGISTIC, l4n::NEURON_TYPE::LINEAR};
 
         l4n::ACSFNeuralNetwork net(elements, *reader.get_element_list(), reader.contains_charge(), n_hidden_neurons, type_hidden_neurons);
 
-        l4n::MSE mse(&net, ds.get());
+        l4n::MSE mse(&net, ds.get(), false);
 
         net.randomize_parameters();
 
@@ -213,7 +211,15 @@ int main() {
                                                                        l4n::SYMMETRY_FUNCTION_PARAMETER::SHIFT,
                                                                        l4n::SYMMETRY_FUNCTION_PARAMETER::ANGULAR_RESOLUTION};
 //                                                                       l4n::SYMMETRY_FUNCTION_PARAMETER::PERIOD_LENGTH};
-        param_optim.fit_ACSF_parameters(fitted_params, false);
+
+        // param_optim.fit_ACSF_parameters(fitted_params,
+                                        // false,
+                                        // 50,
+                                        // 10,
+                                        // 1e-5,
+                                        // 0.98,
+                                        // 0.085,
+                                        // 1e-6);
 
         for(size_t i = 0; i < mse.get_dataset()->get_data()->at(0).first.size(); i++) {
             std::cout << mse.get_dataset()->get_data()->at(0).first.at(i) << " ";
@@ -230,7 +236,7 @@ int main() {
 ////        optimize_via_NelderMead(net, mse);
 //
         double err1 = optimize_via_LBMQ(net, mse);
-        double err2 = optimize_via_gradient_descent(net, mse);
+//        double err2 = optimize_via_gradient_descent(net, mse);
 
 //        std::cout << "Weights: " << net.get_min_max_weight().first << " " << net.get_min_max_weight().second << std::endl;
 
@@ -238,17 +244,17 @@ int main() {
         std::vector<double> output;
         output.resize(1);
 
-        for(auto e : *mse.get_dataset()->get_data()) {
-//            for(size_t i = 0; i < e.first.size(); i++) {
-//                std::cout << e.first.at(i) << " ";
-//                if(i % 2 == 1) {
-//                    std::cout << std::endl;
-//                }
-//            }
-            std::cout << "OUTS (DS, predict): " << e.second.at(0) << " ";
-            net.eval_single(e.first, output);
-            std::cout << output.at(0) << std::endl;
-        }
+//        for(auto e : *mse.get_dataset()->get_data()) {
+////            for(size_t i = 0; i < e.first.size(); i++) {
+////                std::cout << e.first.at(i) << " ";
+////                if(i % 2 == 1) {
+////                    std::cout << std::endl;
+////                }
+////            }
+//            std::cout << "OUTS (DS, predict): " << e.second.at(0) << " ";
+//            net.eval_single(e.first, output);
+//            std::cout << output.at(0) << std::endl;
+//        }
 
     } catch (const std::exception& e) {
         std::cerr << e.what() << std::endl;
@@ -261,6 +267,6 @@ int main() {
 
 
 //    std::cout << arma::stddev(m) << std::endl;
-
+	MPI_FINISH
     return 0;
-}
\ No newline at end of file
+}
diff --git a/src/examples/net_test_1.cpp b/src/examples/net_test_1.cpp
index a1f3e571e0eeb03344eff9500f814280913f8c72..a5b30049adcaa72885a15099236f50b7989bcd2a 100644
--- a/src/examples/net_test_1.cpp
+++ b/src/examples/net_test_1.cpp
@@ -5,7 +5,7 @@
 #include <vector>
 #include <iostream>
 
-#include "4neuro.h"
+#include <4neuro_public.h>
 
 void optimize_via_particle_swarm(l4n::NeuralNetwork& net,
                                  l4n::ErrorFunction& ef) {
diff --git a/src/examples/net_test_2.cpp b/src/examples/net_test_2.cpp
index 345bbb88818b8dc82df3dd2b980bee77cd7995f7..8aff983bb13e882da09e238b8fd7b7266d0880e9 100644
--- a/src/examples/net_test_2.cpp
+++ b/src/examples/net_test_2.cpp
@@ -5,7 +5,7 @@
 
 #include <vector>
 
-#include "4neuro.h"
+#include <4neuro_public.h>
 
 void optimize_via_particle_swarm(l4n::NeuralNetwork& net,
                                  l4n::ErrorFunction& ef) {
diff --git a/src/examples/net_test_3.cpp b/src/examples/net_test_3.cpp
index d9bc6a7f9d56212fced8b0e0203fbed21ca3b47d..bb95542db1a8b7520d7725d28ab9bb273af61f68 100644
--- a/src/examples/net_test_3.cpp
+++ b/src/examples/net_test_3.cpp
@@ -11,7 +11,7 @@
 #include <assert.h>
 #include <ctime>
 
-#include <4neuro.h>
+#include <4neuro_public.h>
 
 #include <boost/random/mersenne_twister.hpp>
 #include <boost/random/uniform_int_distribution.hpp>
diff --git a/src/examples/net_test_harmonic_oscilator.cpp b/src/examples/net_test_harmonic_oscilator.cpp
index e216200c41ce37b349d7df789281f2cdc910f48c..abd94990b2bbfebc09dc8c9ebec51b65d8270bb8 100644
--- a/src/examples/net_test_harmonic_oscilator.cpp
+++ b/src/examples/net_test_harmonic_oscilator.cpp
@@ -11,7 +11,7 @@
 #include <iostream>
 #include <fstream>
 
-#include "4neuro.h"
+#include <4neuro_public.h>
 
 void export_solution(size_t n_test_points,
                      double te,
diff --git a/src/examples/net_test_ode_1.cpp b/src/examples/net_test_ode_1.cpp
index 28c48ec46e1c058e4694b0ffa702d7ed0d683077..25d50bd29f2840e71017e380d03e06faf63f8f06 100644
--- a/src/examples/net_test_ode_1.cpp
+++ b/src/examples/net_test_ode_1.cpp
@@ -19,7 +19,7 @@
 #include <random>
 #include <iostream>
 #include <chrono>
-#include "4neuro.h"
+#include <4neuro_public.h>
 
 void optimize_via_particle_swarm(l4n::DESolver& solver,
                                  l4n::MultiIndex& alpha,
diff --git a/src/examples/net_test_pde_1.cpp b/src/examples/net_test_pde_1.cpp
index b69cd9193811c0523d3e2a998bad953603149aa9..c24410626091f2a55a342ef318f22cedcfb66e55 100644
--- a/src/examples/net_test_pde_1.cpp
+++ b/src/examples/net_test_pde_1.cpp
@@ -22,7 +22,7 @@
 #include <iostream>
 #include <fstream>
 
-#include "4neuro.h"
+#include <4neuro_public.h>
 
 void optimize_via_particle_swarm(l4n::DESolver& solver,
                                  l4n::MultiIndex& alpha,
diff --git a/src/examples/network_serialization.cpp b/src/examples/network_serialization.cpp
index bae85fcc39a499555282f8c472cffdce8ee90e83..0a22c005413231170df670fe9efc49185b30b719 100644
--- a/src/examples/network_serialization.cpp
+++ b/src/examples/network_serialization.cpp
@@ -7,7 +7,7 @@
  */
 
 #include <vector>
-#include "4neuro.h"
+#include <4neuro_public.h>
 
 int main() {
     std::cout << "Running lib4neuro Serialization example   1" << std::endl;
diff --git a/src/examples/seminar.cpp b/src/examples/seminar.cpp
index 11926803baaf724c2e7058023eb858048454a392..735f11c9d2a851c0a1a48f3c70a34cfec0f7a6f1 100644
--- a/src/examples/seminar.cpp
+++ b/src/examples/seminar.cpp
@@ -9,8 +9,7 @@
 #include <iostream>
 #include <fstream>
 
-#include "4neuro.h"
-#include "../Solvers/DESolver.h"
+#include <4neuro_public.h>
 
 int main() {
 
diff --git a/src/examples/x2_fitting.cpp b/src/examples/x2_fitting.cpp
index 9c27339145619e3dbc912e26e840043cfc0aa79b..1484ec3ce4836725361950173c335ee727f55a0b 100644
--- a/src/examples/x2_fitting.cpp
+++ b/src/examples/x2_fitting.cpp
@@ -1,6 +1,6 @@
 #include <iostream>
 
-#include "4neuro.h"
+#include <4neuro_public.h>
 
 void optimize_via_particle_swarm(l4n::NeuralNetwork& net,
                                  l4n::ErrorFunction& ef) {
diff --git a/src/message.h b/src/message.h
index 9dccc6a6438538ea38c9c298f90a64e65514a25b..d292ebf52eb7e02a7abbe3fff14bdc132656fdbe 100644
--- a/src/message.h
+++ b/src/message.h
@@ -2,18 +2,20 @@
 #ifndef PROJECT_MESSAGE_H
 #define PROJECT_MESSAGE_H
 
+#include "mpi_wrapper.h"
+
 #include <cassert>
 #include <iomanip>
 
 #define COL_WIDTH 20
 #define R_ALIGN std::setw(COL_WIDTH) << std::right
 
-#define COUT_INFO(inp) std::cout << std::flush << std::fixed << std::setprecision(12) << "INFO: " << inp  << std::endl << std::flush
+#define COUT_INFO(inp) if(lib4neuro::mpi_rank == 0) { std::cout << std::flush << std::fixed << std::setprecision(12) << "INFO: " << inp  << std::endl << std::flush; }
 
 #ifdef L4N_DEBUG
-#define COUT_DEBUG(inp) assert(std::cerr << std::flush << std::fixed << std::setprecision(12) << "DEBUG: " << inp << std::endl << std::flush)
+#define COUT_DEBUG(inp) if(lib4neuro::mpi_rank == 0) { assert(std::cerr << std::flush << std::fixed << std::setprecision(12) << "DEBUG: " << inp << std::endl << std::flush); }
 
-#define WRITE_TO_OFS_DEBUG(ofs, msg) { if(ofs && ofs->is_open())\
+#define WRITE_TO_OFS_DEBUG(ofs, msg) { if(ofs && ofs->is_open() && lib4neuro::mpi_rank == 0)\
                                            *ofs << std::fixed << std::setprecision(12) << "DEBUG: " << msg;\
                                      }
 #else
diff --git a/src/mpi_wrapper.cpp b/src/mpi_wrapper.cpp
index a7bf1378d968b8ea021a35ecee9c867bc8213bdd..c7b8f09ec7b8b911245fe94d73d28664d77e5b63 100644
--- a/src/mpi_wrapper.cpp
+++ b/src/mpi_wrapper.cpp
@@ -3,5 +3,8 @@
 namespace lib4neuro{
 	int mpi_rank = 0;
 	int mpi_nranks = 1;
+	int mpi_msg = 0;
+	int mpi_msg_ = 0;
 	MPI_Comm mpi_active_comm = MPI_COMM_WORLD;
 }
+
diff --git a/src/mpi_wrapper.h b/src/mpi_wrapper.h
index 14f25d2fe0192902aabd0bc851796985487f022b..918810befce65d7873e65ae4d458a578946f5c1e 100644
--- a/src/mpi_wrapper.h
+++ b/src/mpi_wrapper.h
@@ -7,11 +7,16 @@
 namespace lib4neuro{
     extern int mpi_rank;
 	extern int mpi_nranks;
+	extern int mpi_msg;
+	extern int mpi_msg_;
 	extern MPI_Comm mpi_active_comm;
 }
 
 #define MPI_INIT MPI_Init(nullptr, nullptr); MPI_Comm_size( lib4neuro::mpi_active_comm, &lib4neuro::mpi_nranks ); MPI_Comm_rank( lib4neuro::mpi_active_comm, &lib4neuro::mpi_rank );
 #define MPI_FINISH MPI_Finalize( );
 
+#define MPI_INTERRUPT lib4neuro::mpi_msg = 1; MPI_Allreduce(&lib4neuro::mpi_msg, &lib4neuro::mpi_msg_, 1, MPI_INT, MPI_SUM, lib4neuro::mpi_active_comm);
+#define MPI_ERROR_CHECK lib4neuro::mpi_msg = 0; MPI_Allreduce(&lib4neuro::mpi_msg, &lib4neuro::mpi_msg_, 1, MPI_INT, MPI_SUM, lib4neuro::mpi_active_comm);; if( lib4neuro::mpi_msg_ > 0 ){throw std::runtime_error(" eror " );}
+
 #endif //INC_4NEURO_MPIWRAPPER_H
 
diff --git a/src/settings.h b/src/settings.h
index c7c72710f841f030381f93281732e13bcd0140fa..f1b5f2a67a932a7a3649531f1fbf5c3af7f75e23 100644
--- a/src/settings.h
+++ b/src/settings.h
@@ -8,10 +8,6 @@
 #ifndef INC_4NEURO_SETTINGS_H
 #define INC_4NEURO_SETTINGS_H
 
-/**
- * If defined, the NN feed-forward will print out whats happening
- */
-
 #ifdef _WINDOWS
 #define LIB4NEURO_API __declspec(dllexport)
 #else