Minimax (sometimes Minmax, MM or saddle point) is a decision rule used in artificial intelligence, decision theory, game theory, statistics, and philosophy...
27 KB (3,812 words) - 10:07, 27 December 2024
A minimax approximation algorithm (or L∞ approximation or uniform approximation) is a method to find an approximation of a mathematical function that...
3 KB (295 words) - 13:10, 27 September 2021
Alpha–beta pruning (category Graph algorithms)
Alpha–beta pruning is a search algorithm that seeks to decrease the number of nodes that are evaluated by the minimax algorithm in its search tree. It is an...
20 KB (2,548 words) - 12:07, 3 November 2024
refer to: Minimax estimator, an estimator whose maximal risk is minimal between all possible estimators Minimax approximation algorithm, algorithms to approximate...
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Negamax (category Optimization algorithms and methods)
Negamax search is a variant form of minimax search that relies on the zero-sum property of a two-player game. This algorithm relies on the fact that min (...
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Expectiminimax (category Search algorithms)
The expectiminimax algorithm is a variation of the minimax algorithm, for use in artificial intelligence systems that play two-player zero-sum games,...
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artificial intelligence. Examples of algorithms for this class are the minimax algorithm, alpha–beta pruning, and the A* algorithm and its variants. The name "combinatorial...
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with the minimax theorem. It performs notably faster than the maxn algorithm because of those optimizations. Maxn algorithm Minimax algorithm Sturtevant...
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Hybrid Algorithms Alpha–beta pruning: search to reduce number of nodes in minimax algorithm Branch and bound Bruss algorithm: see odds algorithm Chain...
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Widest path problem (redirect from Minimax path problem)
transportation planning. Any algorithm for the widest path problem can be transformed into an algorithm for the minimax path problem, or vice versa, by...
24 KB (3,017 words) - 19:58, 12 October 2024
Yao's principle (redirect from Yao's minimax principle)
called Yao's minimax principle or Yao's lemma) relates the performance of randomized algorithms to deterministic (non-random) algorithms. It states that...
27 KB (3,761 words) - 17:25, 9 January 2025
designed by Luckhardt and Irani. Minimax algorithm Luckhardt, Carol A.; Irani, Keki B. (11 August 1986). An Algorithmic Solution of N-Person Games (PDF)...
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In statistics, the k-nearest neighbors algorithm (k-NN) is a non-parametric supervised learning method. It was first developed by Evelyn Fix and Joseph...
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estimator (estimation rule) δ M {\displaystyle \delta ^{M}\,\!} is called minimax if its maximal risk is minimal among all estimators of θ {\displaystyle...
12 KB (1,961 words) - 02:39, 8 September 2021
God's number, or, more formally, the minimax value. God's algorithm, then, for a given puzzle, is an algorithm that solves the puzzle and produces only...
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the two faces do not overlap (minimax test in X) The extreme coordinate values in Y of the two faces do not overlap (minimax test in Y) All vertices of P...
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research company DeepMind to master the games of chess, shogi and go. This algorithm uses an approach similar to AlphaGo Zero. On December 5, 2017, the DeepMind...
23 KB (2,561 words) - 20:38, 27 December 2024
analyzed under the conditions of worst and average case and in the sense of a minimax value of a zero-sum game in game theory. With four holes and six colors...
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Golden-section search (redirect from Golden ratio algorithm)
(1953) as a minimax search for the maximum (minimum) of a unimodal function in an interval. The Bisection method is a similar algorithm for finding a...
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best approximation or the minimax approximation algorithm. A review of technicalities in implementing the Remez algorithm is given by W. Fraser. The...
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Reinforcement learning (redirect from REINFORCE algorithm)
S Li (2020). "Improving Generalization of Reinforcement Learning with Minimax Distributional Soft Actor-Critic". 2020 IEEE 23rd International Conference...
63 KB (7,459 words) - 01:20, 22 January 2025
MTD(f) (category Search algorithms)
Fixed-depth Minimax Algorithms". Artificial Intelligence. 87 (1–2): 255–293. doi:10.1016/0004-3702(95)00126-3. "Aske Plaat: MTD(f), a new chess algorithm". When...
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Deep Blue used custom VLSI chips to parallelize the alpha–beta search algorithm, an example of symbolic AI. The system derived its playing strength mainly...
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Best node search (category Search algorithms)
search (BNS), originally known as fuzzified game tree search, is a minimax search algorithm, developed in 2011. The idea is that the knowledge that one subtree...
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Computer chess (section Minimax search)
position on the board. This search process is called minimax. A naive implementation of the minimax algorithm can only search to a small depth in a practical...
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learning Texel tuning Unsupervised learning Graph and tree search algorithms Minimax Alpha-beta pruning Principal variation search Quiescence search Monte...
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performance in go, chess, shogi, and a standard suite of Atari games. The algorithm uses an approach similar to AlphaZero. It matched AlphaZero's performance...
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then makes the move with the highest resulting points, employing a minimax algorithm to do so. Points are determined based on several criteria, such as...
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Quiescence search is an algorithm typically used to extend search at unstable nodes in minimax game trees in game-playing computer programs. It is an extension...
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SSS* (category Search algorithms)
child of parent(J) to OPEN Roizen, Igor; Judea Pearl (March 1983). "A minimax algorithm better than alpha–beta?: Yes and No". Artificial Intelligence. 21...
5 KB (749 words) - 23:12, 14 August 2023