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Automated Tuning

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| style="vertical-align:top;" | Since the relationship between [[Pawn Advantage, Win Percentage, and Elo|win percentage and pawn advantage]] is assumed to follow a [https://en.wikipedia.org/wiki/Logistic_model logistic model], one may treat static evaluation as [[Neural Networks#Perceptron|single-layer perceptron]] or single [https://en.wikipedia.org/wiki/Artificial_neuron neuron] [[Neural Networks|ANN]] with the common [https://en.wikipedia.org/wiki/Logistic_function logistic] [https://en.wikipedia.org/wiki/Activation_function activation function], performing the perceptron algorithm to train it <ref>[http://www.talkchess.com/forum/viewtopic.php?t=56168&start=36 Re: Piece weights with regression analysis (in Russian)] by [[Fabien Letouzey]], [[CCC]], May 04, 2015</ref>. [https://en.wikipedia.org/wiki/Logistic_regression Logistic regression] in evaluation tuning was first elaborated by [[Michael Buro]] in 1995 <ref>[[Michael Buro]] ('''1995'''). ''[http://www.jair.org/papers/paper179.html Statistical Feature Combination for the Evaluation of Game Positions]''. [https://en.wikipedia.org/wiki/Journal_of_Artificial_Intelligence_Research JAIR], Vol. 3</ref>, and proved successful in the game of [[Othello]] in comparison with [[Mathematician#RFisher|Fisher's]] [https://en.wikipedia.org/wiki/Kernel_Fisher_discriminant_analysis linear discriminant] and quadratic [https://en.wikipedia.org/wiki/Discriminant discriminant] function for [https://en.wikipedia.org/wiki/Normal_distribution normally distributed] features, and served as eponym of his Othello program ''Logistello'' <ref>[https://skatgame.net/mburo/log.html LOGISTELLO's Homepage]</ref>. In computer chess, logistic regression was applied by [[Arkadiusz Paterek]] with [[Gosu]] <ref>[[Arkadiusz Paterek]] ('''2004'''). ''Modelowanie funkcji oceniającej w grach''. [[University of Warsaw]], [https://www.mimuw.edu.pl/~paterek/mfog.ps.gz zipped ps] (Polish, Modeling of an evaluation function in games)</ref>, later proposed by [[Miguel A. Ballicora]] in a 2009 [[CCC]] post, as applied to used by [[Gaviota]] <ref>[http://www.talkchess.com/forum/viewtopic.php?t=27266&postdays=0&postorder=asc&topic_view=&start=11 Re: Insanity... or Tal style?] by [[Miguel A. Ballicora]], [[CCC]], April 02, 2009</ref>, was independently described by [[Amir Ban]] in 2012 for [[Junior|Junior's]] evaluation learning <ref>[[Amir Ban]] ('''2012'''). ''[http://www.ratio.huji.ac.il/node/2362 Automatic Learning of Evaluation, with Applications to Computer Chess]''. Discussion Paper 613, [https://en.wikipedia.org/wiki/Hebrew_University_of_Jerusalem The Hebrew University of Jerusalem] - Center for the Study of Rationality, [https://en.wikipedia.org/wiki/Givat_Ram Givat Ram]</ref>, and explicitly mentioned by [[Álvaro Begué]] in a January 2014 [[CCC]] discussion <ref>[http://www.talkchess.com/forum/viewtopic.php?t=50823&start=10 Re: How Do You Automatically Tune Your Evaluation Tables] by [[Álvaro Begué]], [[CCC]], January 08, 2014</ref>, when [[Peter Österlund]] explained [[Texel's Tuning Method]] <ref>[http://www.talkchess.com/forum/viewtopic.php?topic_view=threads&p=555522&t=50823 The texel evaluation function optimization algorithm] by [[Peter Österlund]], [[CCC]], January 31, 2014</ref>, which subsequently popularized logistic regression tuning in computer chess. [[Vladimir Medvedev|Vladimir Medvedev's]] [[Point Value by Regression Analysis]] <ref>[http://habrahabr.ru/post/254753/ Определяем веса шахматных фигур регрессионным анализом / Хабрахабр] by [[Vladimir Medvedev|WinPooh]], April 27, 2015 (Russian)</ref> <ref>[http://www.talkchess.com/forum/viewtopic.php?t=56168 Piece weights with regression analysis (in Russian)] by [[Vladimir Medvedev]], [[CCC]], April 30, 2015</ref> experiments showed why the [https://en.wikipedia.org/wiki/Logistic_function logistic function] is appropriate, and further used [https://en.wikipedia.org/wiki/Cross_entropy cross-entropy] and [https://en.wikipedia.org/wiki/Regularization_%28mathematics%29 regularization].
| [[FILE:SigmoidTexelTune.gif|border|left|thumb|baseline|300px|link=http://wolfr.am/1al3d5B|[https://en.wikipedia.org/wiki/Logistic_function Logistic function] <ref>[http://wolfr.am/1al3d5B log-linear 1 / (1 + 10^(-s/4)) , s=-10 to 10] from [https://en.wikipedia.org/wiki/Wolfram_Alpha Wolfram|Alpha]</ref> ]]
|}
* [[Arasan#Tuning|Arasan's Tuning]]
* [[Eval Tuning in Deep Thought]]
* [[Gosu]]
* [[Minimax Tree Optimization]] (MMTO or the Bonanza-Method in [[Shogi]])
* [[Point Value by Regression Analysis]]
* [[Mathieu Autonès]], [[Aryel Beck]], [[Phillippe Camacho]], [[Nicolas Lassabe]], [[Hervé Luga]], [[François Scharffe]] ('''2004'''). ''[http://link.springer.com/chapter/10.1007/978-3-540-24650-3_1 Evaluation of Chess Position by Modular Neural network Generated by Genetic Algorithm]''. [http://www.informatik.uni-trier.de/~ley/db/conf/eurogp/eurogp2004.html#AutonesBCLLS04 EuroGP 2004]
* [[Henk Mannen]], [[Marco Wiering]] ('''2004'''). ''Learning to play chess using TD(λ)-learning with database games''. [http://students.uu.nl/en/hum/cognitive-artificial-intelligence Cognitive Artificial Intelligence], [https://en.wikipedia.org/wiki/Utrecht_University Utrecht University], Benelearn’04
* [[Arkadiusz Paterek]] ('''2004'''). ''Modelowanie funkcji oceniającej w szachach''. Masters thesis, [[University of Warsaw]] (Polish, Modeling of an evaluation function in chess)
* [[Arkadiusz Paterek]] ('''2004'''). ''Modelowanie funkcji oceniającej w grach''. [[University of Warsaw]], [https://www.mimuw.edu.pl/~paterek/mfog.ps.gz zipped ps] (Polish, Modeling of an evaluation function in games)
==2005 ...==
* [[Dave Gomboc]], [[Michael Buro]], [[Tony Marsland]] ('''2005'''). ''Tuning Evaluation Functions by Maximizing Concordance''. [https://en.wikipedia.org/wiki/Theoretical_Computer_Science_%28journal%29 Theoretical Computer Science], Vol. 349, No. 2, [http://www.cs.ualberta.ca/%7Emburo/ps/tcs-learn.pdf pdf]
* [[Borko Bošković]], [[Sašo Greiner]], [[Janez Brest]], [[Viljem Žumer]] ('''2006'''). ''[https://ieeexplore.ieee.org/document/1688532 A Differential Evolution for the Tuning of a Chess Evaluation Function]''. [[IEEE|IEEE Congress on Evolutionary Computation]]
* [[Kunihito Hoki]] ('''2006'''). ''Optimal control of minimax search result to learn positional evaluation''. [[Conferences#GPW|11th Game Programming Workshop]] (Japanese)
* [[Frank Hutter]], [https://scholar.google.co.uk/citations?user=LqUxHuQAAAAJ&hl=en Youssef Hamadi], [[Mathematician#HHHoos|Holger H. Hoos]], [[Mathematician#LeytonBrown|Kevin Leyton-Brown]] ('''2006'''). ''[https://link.springer.com/chapter/10.1007/11889205_17 Performance Prediction and Automated Tuning of Randomized and Parametric Algorithms]''. [https://dblp.org/db/conf/cp/cp2006.html CP 2006], [https://www.cs.ubc.ca/~hutter/papers/aaaiws06_lfs06-autoparam-prelim.pdf pdf]
'''2007'''
* [[Shogo Takeuchi]], [[Tomoyuki Kaneko]], [[Kazunori Yamaguchi]], [[Satoru Kawai]] ('''2007'''). ''Visualization and Adjustment of Evaluation Functions Based on Evaluation Values and Win Probability''. [http://www.informatik.uni-trier.de/~ley/db/conf/aaai/aaai2007.html AAAI 2007], [https://www.aaai.org/Papers/AAAI/2007/AAAI07-136.pdf pdf]
* [[Wei-Lun Kao]] ('''2009'''). ''The Automatically Tuning System of Evaluation Function for Computer Chinese Chess''. Master thesis, [[National Chiao Tung University]], [https://ir.nctu.edu.tw/bitstream/11536/43333/1/553001.pdf pdf] (Chinese)
==2010 ...==
* [[Frank Hutter]], [[Mathematician#HHHoos|Holger H. Hoos]], [[Mathematician#LeytonBrown|Kevin Leyton-Brown]], [[Mathematician#KPMurphy|Kevin P. Murphy]] ('''2010'''). ''[https://dl.acm.org/citation.cfm?id=1893694 Time-Bounded Sequential Parameter Optimization]''. [https://dblp.org/db/conf/lion/lion2010.html LION 2010], [https://ml.informatik.uni-freiburg.de/papers/10-LION-TB-SPO.pdf pdf]
* [[Amine Bourki]], [[Matthieu Coulm]], [[Philippe Rolet]], [[Olivier Teytaud]], [[Paul Vayssière]] ('''2010'''). ''[http://hal.inria.fr/inria-00467796/en/ Parameter Tuning by Simple Regret Algorithms and Multiple Simultaneous Hypothesis Testing]''. [http://hal.inria.fr/docs/00/46/77/96/PDF/tosubmit.pdf pd]
* [[Eli David|Omid David]], [[Moshe Koppel]], [[Nathan S. Netanyahu]] ('''2010'''). ''Genetic Algorithms for Automatic Search Tuning''. [[ICGA Journal#33_2|ICGA Journal, Vol. 33, No. 2]]
* [[Borko Bošković]] ('''2010'''). ''[http://labraj.uni-mb.si/en/PhD_Thesis_Defence_%28Borko_Bo%C5%A1kovi%C4%87%29 Differential Evolution for the Tuning of a Chess Evaluation Function]''. Ph.D. thesis, [[University of Maribor]]
'''2011'''
* [[Frank Hutter]], [[Mathematician#HHHoos|Holger H. Hoos]], [[Mathematician#LeytonBrown|Kevin Leyton-Brown]] ('''2011'''). ''[https://link.springer.com/chapter/10.1007/978-3-642-25566-3_40 Sequential Model-Based Optimization for General Algorithm Configuration]''. [https://dblp.org/db/conf/lion/lion2011.html LION 2011], [https://ml.informatik.uni-freiburg.de/papers/11-LION5-SMAC.pdf pdf]
* [[Eli David|Omid David]], [[Moshe Koppel]], [[Nathan S. Netanyahu]] ('''2011'''). ''Expert-Driven Genetic Algorithms for Simulating Evaluation Functions''. Genetic Programming and Evolvable Machines, Vol. 12, No. 1, [https://arxiv.org/abs/1711.06841 arXiv:1711.06841]
* [[Borko Bošković]], [[Janez Brest]] ('''2011'''). ''[http://www.informatica.si/index.php/informatica/article/view/353 Tuning Chess Evaluation Function Parameters using Differential Evolution]''. Informatica, Vol. 35, No. 2
* [[Eduardo Vázquez-Fernández]], [[Carlos Artemio Coello Coello]], [[Feliú Davino Sagols Troncoso]] ('''2011'''). ''An Evolutionary Algorithm for Tuning a Chess Evaluation Function''. [http://www.informatik.uni-trier.de/~ley/db/conf/cec/cec2011.html#Vazquez-FernandezCT11 CEC 2011], [http://delta.cs.cinvestav.mx/~ccoello/conferences/eduardo-cec2011-final.pdf.gz pdf]
* [[Eduardo Vázquez-Fernández]], [[Carlos Artemio Coello Coello]], [[Feliú Davino Sagols Troncoso]] ('''2011'''). ''[http://dl.acm.org/citation.cfm?id=2001882 An Adaptive Evolutionary Algorithm Based on Typical Chess Problems for Tuning a Chess Evaluation Function]''. [http://www.informatik.uni-trier.de/~ley/db/conf/gecco/gecco2011c.html#Vazquez-FernandezCT11 GECCO 2011], [http://delta.cs.cinvestav.mx/~ccoello/conferences/vazquez-gecco2011.pdf.gz pdf]
* [[Ilya Loshchilov]], [[Marc Schoenauer]], [[Michèle Sebag]] ('''2011'''). ''Adaptive coordinate descent.'' [https://dblp.org/db/conf/gecco/gecco2011.html GECCO 2011], [http://www.loshchilov.com/publications/GECCO2011_AdaptiveCoordinateDescent.pdf pdf] <ref>[https://en.wikipedia.org/wiki/Adaptive_coordinate_descent Adaptive coordinate descent from Wikipedia]</ref>
* [[Rémi Coulom]] ('''2011'''). ''[http://remi.coulom.free.fr/CLOP/ CLOP: Confident Local Optimization for Noisy Black-Box Parameter Tuning]''. [[Advances in Computer Games 13]] <ref>[http://www.talkchess.com/forum/viewtopic.php?p=421995 CLOP for Noisy Black-Box Parameter Optimization] by [[Rémi Coulom]], [[CCC]], September 01, 2011</ref> <ref>[http://www.talkchess.com/forum/viewtopic.php?t=40987 CLOP slides] by [[Rémi Coulom]], [[CCC]], November 03, 2011</ref>
* [[Kunihito Hoki]], [[Tomoyuki Kaneko]] ('''2011'''). ''[http://link.springer.com/chapter/10.1007%2F978-3-642-31866-5_16 The Global Landscape of Objective Functions for the Optimization of Shogi Piece Values with a Game-Tree Search]''. [[Advances in Computer Games 13]] » [[Shogi]]
'''2012'''
* [[Amir Ban]] ('''2012'''). ''[http://www.ratio.huji.ac.il/node/2362 Automatic Learning of Evaluation, with Applications to Computer Chess]''. Discussion Paper 613, [https://en.wikipedia.org/wiki/Hebrew_University_of_Jerusalem The Hebrew University of Jerusalem] - Center for the Study of Rationality, [https://en.wikipedia.org/wiki/Givat_Ram Givat Ram]
* [[Thitipong Kanjanapa Thitipong]], [[Kanako Komiya Kanako]], [[Yoshiyuki Kotani]] ('''2012'''). ''Design and Implementation of Bonanza Method for the Evaluation in the Game of Arimaa''. [http://www.ipsj.or.jp/english/index.html IPSJ SIG Technical Report], Vol. 2012-GI-27, No. 4, [http://arimaa.com/arimaa/papers/KanjanapaThitipong/IPSJ-GI12027004.pdf pdf] » [[Arimaa]]
'''2013'''
* [[Wen-Jie Tseng]], [[Jr-Chang Chen]], [[I-Chen Wu]], [[Ching-Hua Kuo]], [[Bo-Han Lin]] ('''2013'''). ''[https://kaigi.org/jsai/webprogram/2013/paper-138.html A Supervised Learning Method for Chinese Chess Programs]''. [http://2013.conf.ai-gakkai.or.jp/english-info JSAI2013], [https://kaigi.org/jsai/webprogram/2013/pdf/138.pdf pdf]
* [[Tomáš Hřebejk]] ('''2013'''). ''Arimaa challenge - Static Evaluation Function''. Master Thesis, [https://en.wikipedia.org/wiki/Charles_University_in_Prague Charles University in Prague], [http://arimaa.com/arimaa/papers/ThomasHrebejk/Arimaa.pdf pdf] » [[Arimaa]] <ref>[http://www.talkchess.com/forum/viewtopic.php?t=58472 thesis on eval function learning in Arimaa] by [[Jon Dart]], [[CCC]], December 04, 2015</ref>
* [[Yoshikuni Sato]], [[Makoto Miwa]], [[Shogo Takeuchi]], [[Daisuke Takahashi]] ('''2013'''). ''[http://www.aaai.org/ocs/index.php/AAAI/AAAI13/paper/view/6402 Optimizing Objective Function Parameters for Strength in Computer Game-Playing]''. [http://www.informatik.uni-trier.de/~ley/db/conf/aaai/aaai2013.html#SatoMTT13 AAAI 2013]
* [[Ilya Loshchilov]] ('''2013'''). ''[http://loshchilov.com/phd.html Surrogate-Assisted Evolutionary Algorithms]''. Ph.D. thesis, [[University of Paris#11|Paris-Sud 11 University]], advisors [[Marc Schoenauer]] and [[Michèle Sebag]]
'''2014'''
* [[Kunihito Hoki]], [[Tomoyuki Kaneko]] ('''2014'''). ''[https://www.jair.org/papers/paper4217.html Large-Scale Optimization for Evaluation Functions with Minimax Search]''. [https://www.jair.org/vol/vol49.html JAIR Vol. 49], [https://pdfs.semanticscholar.org/eb9c/173576577acbb8800bf96aba452d77f1dc19.pdf pdf] » [[Shogi]] <ref>[http://www.talkchess.com/forum/viewtopic.php?t=55084 MMTO for evaluation learning] by [[Jon Dart]], [[CCC]], January 25, 2015</ref>
* [https://scholar.google.nl/citations?user=yyIoQu4AAAAJ Diederik P. Kingma], [https://scholar.google.ca/citations?user=ymzxRhAAAAAJ&hl=en Jimmy Lei Ba] ('''2015'''). ''Adam: A Method for Stochastic Optimization''. [https://arxiv.org/abs/1412.6980v8 arXiv:1412.6980v8], [http://www.iclr.cc/doku.php?id=iclr2015:main ICLR 2015] <ref>[http://www.talkchess.com/forum/viewtopic.php?t=61948 Arasan 19.2] by [[Jon Dart]], [[CCC]], November 03, 2016 » [[Arasan#Tuning|Arasan's Tuning]]</ref>
* [https://scholar.google.com/citations?user=glcep6EAAAAJ&hl=en Aryan Mokhtari], [https://scholar.google.com/citations?user=7mrPM4kAAAAJ&hl=en Alejandro Ribeiro] ('''2015'''). ''Global Convergence of Online Limited Memory BFGS''. [https://en.wikipedia.org/wiki/Journal_of_Machine_Learning_Research Journal of Machine Learning Research], Vol. 16, [http://www.jmlr.org/papers/volume16/mokhtari15a/mokhtari15a.pdf pdf] <ref>[https://en.wikipedia.org/wiki/Limited-memory_BFGS Limited-memory BFGS from Wikipedia]</ref> <ref>[http://www.talkchess.com/forum/viewtopic.php?t=62012&start=6 Re: CLOP: when to stop?] by [[Álvaro Begué]], [[CCC]], November 08, 2016</ref>
* [[Ilya Loshchilov]] ('''2015'''). ''LM-CMA: an Alternative to L-BFGS for Large Scale Black-box Optimization''. [https://arxiv.org/abs/1511.00221 arXiv:1511.00221] <ref>[https://en.wikipedia.org/wiki/Limited-memory_BFGS LM-BFGS from Wikipedia]</ref> <ref>[https://sites.google.com/site/ecjlmcma/ LM-CMA source code]</ref>
'''2016'''
* [[Diogo Real]], [[Alan Blair]] ('''2016'''). ''[https://ieeexplore.ieee.org/document/7743850/ Learning a multi-player chess game with TreeStrap]''. [https://dblp.uni-trier.de/db/conf/cec/cec2016.html CEC 2016]
* [[Takafumi Nakamichi]], [[Takeshi Ito]] ('''2018'''). ''Adjusting the evaluation function for weakening the competency level of a computer shogi program''. [[ICGA Journal#40_1|ICGA Journal, Vol. 40, No. 1]]
* [[Hung-Jui Chang]], [[Jr-Chang Chen]], [[Gang-Yu Fan]], [[Chih-Wen Hsueh]], [[Tsan-sheng Hsu]] ('''2018'''). ''Using Chinese dark chess endgame databases to validate and fine-tune game evaluation functions''. [[ICGA Journal#40_2|ICGA Journal, Vol. 40, No. 2]] » [[Chinese Dark Chess]], [[Endgame Tablebases]]
* [[Wen-Jie Tseng]], [[Jr-Chang Chen]], [[I-Chen Wu]], [[Tinghan Wei]] ('''2018'''). ''Comparison Training for Computer Chinese Chess''. [https://arxiv.org/abs/1801.07411 arXiv:1801.07411]
=Forum Posts=
==1997 ...==
* [https://groups.google.com/group/rec.games.chess.computer/browse_frm/thread/77f10f072e907302 Evolutionary Evaluation] by [[Dan Daniel Homan]], [[Computer Chess Forums|rgcc]], September 09, 1997 » [[Evaluation]]
* [https://www.stmintz.com/ccc/index.php?id=13794 Deep Blue eval function tuning technique] by [[Stuart Cracraft]], [[CCC]], January 08, 1998 » [[Deep Blue]] <ref>[[Thomas Anantharaman]] ('''1997'''). ''Evaluation Tuning for Computer Chess: Linear Discriminant Methods''. [[ICGA Journal#20_4|ICCA Journal, Vol. 20, No. 4]]</ref>
* [https://www.stmintz.com/ccc/index.php?id=13968 Automated Tuning] by [[Stuart Cracraft]], [[CCC]], January 12, 1998
* [http://www.talkchess.com/forum3/viewtopic.php?f=7&t=68753 methods for tuning coefficients] by [[Stuart Cracraft]], [[CCC]], October 28, 2018
* [http://www.talkchess.com/forum3/viewtopic.php?f=7&t=69035 Particle Swarm Optimization Code] by [[Erik Madsen]], [[CCC]], November 24, 2018 » [[MadChess]]
'''2019'''
* [http://www.talkchess.com/forum3/viewtopic.php?f=7&t=71650 New Tool for Tuning with Skopt] by [[Thomas Dybdahl Ahle]], [[CCC]], August 25, 2019 <ref>[https://scikit-optimize.github.io/ skopt API documentation]</ref>
=External Links=
* [https://en.wikipedia.org/wiki/Mathematical_optimization Mathematical optimization from Wikipedia]
* [https://en.wikipedia.org/wiki/Optimization_problem Optimization problem from Wikipedia]
* [https://en.wikipedia.org/wiki/Local_search_%28optimization%29 Local search (optimization) from Wikipedia]
* [https://en.wikipedia.org/wiki/Iterated_local_search Iterated local search from Wikipedia]
* [https://en.wikipedia.org/wiki/Global_optimization Global optimization from Wikipedia]
* [https://en.wikipedia.org/wiki/Iterated_local_search Iterated local search Bayesian_optimization Bayesian optimization from Wikipedia]* [https://enscikit-optimize.wikipediagithub.orgio/wikinotebooks/Local_search_%28optimization%29 Local search (bayesian-optimization) from Wikipedia.html Bayesian optimization with skopt]
* [https://en.wikipedia.org/wiki/Broyden%E2%80%93Fletcher%E2%80%93Goldfarb%E2%80%93Shanno_algorithm Broyden–Fletcher–Goldfarb–Shanno algorithm from Wikipedia]
* [http://remi.coulom.free.fr/CLOP/ CLOP for Noisy Black-Box Parameter Optimization] by [[Rémi Coulom]] » [[CLOP]] <ref>[http://www.talkchess.com/forum/viewtopic.php?t=35049 Tool for automatic black-box parameter optimization released] by [[Rémi Coulom]], [[CCC]], June 20, 2010</ref> <ref>[http://www.talkchess.com/forum/viewtopic.php?p=421995 CLOP for Noisy Black-Box Parameter Optimization] by [[Rémi Coulom]], [[CCC]], September 01, 2011</ref>
* [https://en.wikipedia.org/wiki/Gradient_descent Gradient descent from Wikipedia]
* [https://en.wikipedia.org/wiki/Hill_climbing Hill climbing from Wikipedia]
* [https://en.wikipedia.org/wiki/Hyperparameter_optimization Hyperparameter optimization from Wikipedia]
* [https://en.wikipedia.org/wiki/Limited-memory_BFGS Limited-memory BFGS from Wikipedia] <ref>[http://www.talkchess.com/forum/viewtopic.php?t=62012&start=6 Re: CLOP: when to stop?] by [[Álvaro Begué]], [[CCC]], November 08, 2016</ref>
* [https://en.wikipedia.org/wiki/Loss_function Loss function from Wikipedia]
* [https://en.wikipedia.org/wiki/Stochastic_optimization Stochastic optimization from Wikipedia]
: [https://en.wikipedia.org/wiki/Simultaneous_perturbation_stochastic_approximation Simultaneous perturbation stochastic approximation (SPSA) - Wikipedia]
: [httphttps://www.jhuapl.edu/spsa/ SPSA Algorithm]
: [https://en.wikipedia.org/wiki/Stochastic_approximation Stochastic approximation from Wikipedia]
: [https://en.wikipedia.org/wiki/Stochastic_gradient_descent Stochastic gradient descent from Wikipedia]

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