credit Mitchell Riley: we can drop 65 parameters for about the same strength; also train for longer

The idea is that the current model is M_theta(board, ply) = "score for player 0", but we can instead create a different model M'_theta(board) = "score for player 0 assuming that it's player 0's move" and for a certain pair of functions sigma, normalise, recover M_theta(board, ply) = sigma(ply) M'_theta(normalise(board, ply)).

This pair of functions is sigma(ply) = +/- 1 (parity), and normalise being a conditional interchange of pieces on the board depending on the parity of the ply. The only things stopping this from being completely straightforward is that nn_train.py evaluates M'_theta itself so we need to pass sigma(ply) to the training loop.

6x6 is still untrained.

1 files changed, 339 insertions, 339 deletions

diff --git a/include/weights_6.c b/include/weights_6.c
index d6f1720..77ea409 100644
--- a/include/weights_6.c
+++ b/include/weights_6.c
@@ -1,358 +1,358 @@
 /* generated by nn_train.py, do not edit by hand */
-/* v039, val_corr=0.9984, rate=0.5600 */
+/* v000, random init */
 #include "weights_6.h"
 
 const float six_embedding[7] =
 {
-    -0.491239011, -0.164351299, 0.315244704, -0.408277124, -1.12078834, -0.247899964, -0.432551205
+    0.724845707, -0.209938288, -0.347967505, 0.821479738, -1.34644675, 0.0270497333, 0.450257659
 };
 
 const float six_dense_weights[SIX_DENSE_NUM][SIX_INP_NUM] NN_ALIGNED =
 {
-    {0.000515430293, -0.298784435, 0.62231493, 0.0323850475, 0.0385943204, 0.0285285804, -0.016271675, -0.0102855777,
-     0.033854086, -0.0137079237, -0.00766045321, -0.0456512161, 0.0368293896, -0.0340741239, 0.00556757394, 0.0188402627,
-     0.011593909, 0.00945147779, 0.010083776, 0.0180580597, 0.0113453642, -0.000227583107, 0.0108447392, -0.00744308531,
-     -0.0363589488, 0.0303659756, 0.0157463327, 0.0657714084, 0.056025967, -0.0448410586, 0.00165178603, -0.0220403988,
-     -0.0209411625, -0.0368541107, -0.00368512096, 0.0481802635, 0.026718542, 0.0638203025, 0.012227702},
-    {0.0210265629, 0.527348399, 0.0204438455, -0.0902165696, -0.159904867, -0.0364844389, 0.170804992, -0.0380741917,
-     -0.0687031448, -0.0762568936, 0.147749931, -0.0238340627, -0.0333135873, 0.173204139, 0.0163496751, -0.1363561,
-     0.0698596463, -0.0110030584, -0.120799668, -0.00102014968, 0.0262002237, 0.153164923, -0.346185416, 0.0119888447,
-     0.0160433464, 0.0645738915, 0.178656578, 0.17158182, -0.0665100738, -0.0170366727, 0.115964942, 0.136816874,
-     0.128347576, -0.104385257, -0.192399427, 0.0228087585, -0.11225424, 0.0531408899, -0.230817065},
-    {-0.0111455098, -0.0311942883, -0.722582996, 0.0854720697, 0.029796375, -0.121352077, -0.02702819, -0.0443954282,
-     -0.0341324881, -0.0473326072, -0.0651621521, 0.00395203242, 0.0329355784, 0.0303115901, 0.0402303673, 0.304905385,
-     -0.0120472237, -0.0572359934, -0.034557566, -0.0483472347, 0.0155713912, 0.290411711, 0.0248964559, 0.00708099222,
-     0.0928736925, -0.0307320468, -0.00614209892, 0.00442513684, 0.0593936294, 0.0320092067, 0.0380841196, -0.00877786335,
-     -0.142653719, -0.152617678, 0.326618522, 0.0496250652, -0.0673352852, 0.019693438, -0.0749565139},
-    {-0.0203997865, -0.0776734725, -0.49216345, 0.00152883504, -0.111685529, 0.106751569, 0.148505718, -0.0244257003,
-     -0.124522112, -0.0793261901, -0.06239843, 0.0178808756, -0.020149475, -0.122562669, -0.00836800877, 0.123083413,
-     0.0501387045, -0.0522458851, 0.00971839763, 0.00931108557, -0.0376552269, 0.0195045341, -0.062387418, -0.0182645041,
-     -0.045171503, -0.0757033527, -0.056151554, 0.00982440449, -0.0286515914, -0.0500706658, -0.178912789, 0.0360568948,
-     0.329417378, 0.0738657787, 0.232877642, 0.0824860632, 0.0640945211, 0.067990765, -0.28431803},
-    {0.0183837861, 0.515438676, -0.491336375, -0.312429279, 0.0106451334, -0.00150087406, 0.047098197, 0.00544585288,
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-     -0.11746794, -0.0592107065, 0.159408361, -0.0248183478, -0.0252188593, 0.0779711381, 0.126867637},
-    {-0.022406701, -1.8515408, 1.19752073, 0.051173266, -0.0769252032, 0.00527154515, -0.0158692878, 0.0218846463,
-     -0.0468643792, 0.0444277488, 0.0690413713, 0.0397471637, -0.0220384356, -0.0291984621, -0.0362321846, -0.0315559693,
-     0.00386379892, -0.073595807, 0.00650994573, 0.0623035766, 0.11847882, 0.0220129862, 0.0254727677, -0.0180584695,
-     -0.0410494506, 0.00662252074, 0.0429109819, 0.0582324117, 0.0183085594, 0.0580652244, -0.0108405082, 0.0306066182,
-     0.0790425763, 0.0411671028, -0.0438192934, -0.0234463438, -0.0713966042, 0.07518778, 0.13800028},
-    {0.0215327796, 0.203414977, -0.348643363, 0.104428224, -0.0250779018, 0.0430746488, -0.0652607456, 0.0836304799,
-     -0.0148068313, -0.0231121369, -0.253950626, -0.27574119, -0.134845749, -0.0783734769, 0.197460249, 0.0867555141,
-     -0.446333319, -0.173812121, -0.0326885059, -0.0558216944, 0.139414281, -0.110169791, 0.0276528038, -0.0609619878,
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-     -0.0607144162, -0.122603208, 0.00125558174, -0.107026517, 0.210350484, -0.15040797, 0.0103561021},
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-    {-0.0140651837, -0.47210151, -1.16673601, 0.0646250322, -0.108423464, -0.00616196916, -0.102787748, -0.130745515,
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-     0.0374678522, -0.00934058148, -0.0349941961, -0.12363261, -0.066048488, -0.0552934185, 0.0556034893, -0.0477472916,
-     -0.0399395861, -0.0380369984, 0.00151728035, -0.0183514319, 0.00216195942, -0.00230315328, -0.00691869855, -0.0291660279,
-     -0.00243238895, 0.00652827276, -0.0153532652, -0.109382592, -0.0691974387, -0.0370263755, -0.0463435762},
-    {0.00780838588, -0.416522354, 0.735910535, 0.0246622637, 0.00306017767, 0.0107882787, 0.0363311246, -0.00030878809,
-     0.0366173312, -0.0407722443, -0.0182531606, -0.0522346646, -0.00242038304, -0.0130401608, 0.0527641587, 0.0175190382,
-     -0.0202828832, -0.0319212675, 1.14149252e-05, 0.0464571193, -0.00344156288, 0.00429719454, -0.0349765718, -0.0177266262,
-     -0.0546469688, 0.0247087795, -0.00968514103, 0.0136369122, -0.0109840054, -0.0024506133, 0.0118062142, 0.0164425578,
-     0.0290870406, 0.0328523591, -0.00929149706, -0.0379902199, 0.058232218, 0.0130026322, 0.0530603305},
-    {-0.0112001421, -0.667560816, 0.621856689, -0.0510394275, -0.0283678435, -0.0199936945, -0.034421131, 0.00821966212,
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-     0.049982354, 0.0457168669, -0.0453735702, 0.102044225, 0.0573507994, 0.0222815927, 0.0691943988, -0.0239612944,
-     -0.0335365199, -0.00402912265, -0.0140459705, -0.00472485367, 0.000277878251, 0.0592397973, -0.0266618542},
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-    {-0.0094090905, -0.428160727, 0.0697672069, -0.0791164264, 0.0507349484, 0.0127565637, 0.0681599826, 0.0458464511,
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+     0.0899194553, 0.123631939, 0.0904184803, 0.034310922, 0.0355594009, -0.0873830095, -0.0629013181, 0.0313743614,
+     0.137224853, -0.113125362, -0.137799174, -0.00136170641, 0.0569311231, 0.00033627369},
+    {0.140582711, 0.0666882843, 0.0628860593, 0.126775816, 0.030946482, 0.0155598279, -0.014883684, -0.0288827959,
+     0.0355592482, -0.0366797671, 0.0594486594, 0.115711585, 0.0348766446, -0.0938992798, -0.129293278, -0.0878231451,
+     -0.000724876823, 0.0773949102, 0.0322506577, -0.143157914, -0.0329748951, -0.0669301301, 0.107684202, -0.0379990637,
+     -0.065633826, -0.0376346521, 0.0145334285, -0.148802459, -0.0318754539, -0.16022332, 0.0577683561, -0.0665533617,
+     -0.133655116, 0.101930477, 0.119332045, -0.127442241, -0.129697219, -0.0865818784},
 };
 
 const float six_dense_biases[SIX_DENSE_NUM] =
 {
-    0.0358068012, 0.000898281171, 0.0217367113, -0.0265544746, -0.0845544115, 0.0717771053, -0.0896350667, 0.338159561,
-    0.0275293905, 0.0230685957, -0.00351712457, 0.103906937, 0.517660439, 0.334648579, 0.102573998, 0.101453498,
-    -0.0807224065, 0.0408518165, -0.0473203175, 0.115539514, -0.000401440775, -0.108576819, 0.0293965898, -0.00195915299,
-    0.0339241698, 0.0961106047, 0.327096283, 0.0165668819, 0.0520431101, 0.241015151, -0.0268077478, -0.0589138456,
-    -0.0555285476, -0.000455619767, 0.146385804, -0.121387199, 0.0519205295, 0.313046634, 0.189322412, 0.0484207943,
-    0.0107734976, 0.0182580184, 0.144846246, 0.0323797129, 0.0367941856, -0.048185993, -0.0814495087, -0.0371007808,
-    0.00476074684, 0.15602544, -0.0435842052, 0.185461104, -0.0419499911, -0.017373234, -0.223312691, -0.0239550043,
-    0.10882584, 0.0511653274, -0.122622646, -0.0466074683, 0.00250071893, 0.0343811512, 0.0257191304, 0.278161705
+    -0.109864615, -0.00545889279, -0.0512907989, -0.0936995149, 0.145228133, 0.136148497, 0.082344763, 0.16194196,
+    -0.0229825824, 0.116574578, -0.0256564897, -0.058733996, -0.14782922, -0.115881361, -0.139623746, 0.14362292,
+    0.0457916036, 0.0223771594, 0.0677440986, -0.0922927707, -0.0339972936, -0.137796223, 0.0850529596, 0.10865587,
+    -0.138163224, -0.0926693082, -0.0489478298, -0.0663326904, 0.145771638, 0.159281373, -0.0736522749, -0.0456566252,
+    -0.131377712, -0.161315009, 0.113873117, 0.0961941928, -0.0246813763, 0.0113050351, 0.0658195317, -0.131229118,
+    0.045095697, 0.118296579, -0.0262246486, -0.0172070265, 0.030266799, 0.0645385385, -0.0574949123, -0.111541301,
+    0.00989755429, 0.0734110475, 0.0109292725, 0.0906195045, -0.0213869791, -0.0550156645, -0.0770896152, 0.0627855435,
+    0.161606282, -0.136956587, 0.0591680035, 0.117993973, -0.100358412, -0.0904804021, 0.161572158, 0.0794185847
 };
 
 const float six_logit_weights[SIX_DENSE_NUM] NN_ALIGNED =
 {
-    -0.201751411, 0.347819954, 0.493884534, 0.274511665, 0.363753706, -2.35896945, 0.3773655, -0.10685952,
-    0.596209824, -0.224591911, -0.365215212, 0.613381267, -0.242347822, -0.303737462, 0.266811877, 0.37569049,
-    -0.282472193, 0.453839839, 0.308412313, -0.165009454, 0.367185861, 0.483189702, 0.318070173, 0.475200891,
-    -0.218860522, -0.190120831, -0.580566227, 0.339473605, 0.391757488, -0.149844855, -0.573802054, 0.383461118,
-    -0.507005513, 0.357159287, 0.382413357, 0.350407243, 0.304840535, -0.40366289, -0.116036549, 0.332240224,
-    -0.232978418, -0.115689844, 0.658053219, 0.35329318, -0.217018828, -0.301838249, 0.337623596, 0.313897252,
-    -0.175598681, 0.399216175, -0.425547808, -0.526563704, -0.4182145, 0.280602217, -0.921227634, -0.301986456,
-    -0.295262814, 0.333246887, -0.232829303, 0.276836783, -0.210685015, 0.263218731, 0.338431299, -0.461315811
+    0.0506259352, -0.0670735389, -0.0409830809, 0.0799648017, -0.0936499536, -0.122460753, 0.0720161647, -0.00714924932,
+    0.0374628901, -0.00931178033, -0.0230136961, 0.00667156279, 0.0823754966, -0.0555169284, -0.00904981792, 0.116692498,
+    -0.0391199738, -0.0115989298, 0.080099836, 0.0469093025, 0.0122002363, 0.0831808001, -0.086982742, 0.0337891877,
+    -0.00255012512, -0.00210243464, -0.124136865, 0.0730553865, 0.0849774629, 0.0424228907, 0.0538319349, -0.021144107,
+    0.0260899216, 0.103255317, 0.0197341889, 0.0205372721, 0.0432852656, -0.0749761909, 0.0963372439, 0.0757804066,
+    -0.0152295828, 0.0183023214, 0.0326250941, 0.0934210271, -0.0808760673, 0.122171149, 0.118500024, 0.119957089,
+    0.00975672901, -0.080600068, 0.0614878684, 0.102577716, -0.0595808178, -0.00613754988, 0.0455737859, 0.0759487897,
+    -0.0314992517, 0.0338666737, 0.0178338587, -0.0309750885, -0.0261106789, -0.0142950565, 0.0768712908, -0.121748224
 };
 
-const float six_logit_bias = 0.250789016;
+const float six_logit_bias = -0.076127708;