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Texel's Tuning Method

7 bytes removed, 21:29, 27 June 2019
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* N is the number of test positions.
* Ri is the result of the game corresponding to position i; 0 for black win, '''0.5''' for draw and '''1''' for white win.
* qi or qScore corresponding to position i, is the white relative [[Score|valuescore]] returned by from the chess engine [[Quiescence Search|quiescencesearch]] function. The algorithm assumes the qScore function is [https://en.wikipedia.org/wiki/Deterministic_system deterministic]. If [[Transposition Table|transposition tables]] or the [[History Heuristic|history heuristic]] is used in the qScore function this may not be the case.
* [[FILE:TexelTuneMathSigmoid.jpg|none|middle]] [[FILE:SigmoidTexelTune.gif|right|frameless|link=http://wolfr.am/1al3d5B]]
: <ref>[https://en.wikipedia.org/wiki/Sigmoid_function Sigmoid function from Wikipedia]</ref> <ref>[https://en.wikipedia.org/wiki/Logistic_function Logistic function from Wikipedia]</ref> <ref>see also winning probability W in [[Pawn Advantage, Win Percentage, and Elo]]</ref> <ref>[http://wolfr.am/1al3d5B log-linear 1 / (1 + 10^(-s/4)) , s=-10 to 10] plot by [https://en.wikipedia.org/wiki/Wolfram_Alpha Wolfram Alpha]</ref>

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