• Minimax (sometimes Minmax, MM or saddle point) is a decision rule used in artificial intelligence, decision theory, game theory, statistics, and philosophy...
    27 KB (3,814 words) - 12:43, 14 April 2025
  • 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...
    19 KB (2,405 words) - 12:10, 4 April 2025
  • Thumbnail for Search algorithm
    artificial intelligence. Examples of algorithms for this class are the minimax algorithm, alpha–beta pruning, and the A* algorithm and its variants. An important...
    11 KB (1,453 words) - 16:18, 10 February 2025
  • 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 (...
    13 KB (1,776 words) - 20:27, 12 April 2025
  • refer to: Minimax estimator, an estimator whose maximal risk is minimal between all possible estimators Minimax approximation algorithm, algorithms to approximate...
    2 KB (295 words) - 01:51, 9 September 2024
  • 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 (3,766 words) - 02:18, 14 April 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)...
    921 bytes (79 words) - 16:15, 17 March 2025
  • Hybrid Algorithms Alpha–beta pruning: search to reduce number of nodes in minimax algorithm Branch and bound Bruss algorithm: see odds algorithm Chain...
    71 KB (7,874 words) - 08:32, 10 April 2025
  • Thumbnail for Widest 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
  • 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...
    32 KB (4,333 words) - 23:48, 16 April 2025
  • with the minimax theorem. It performs notably faster than the maxn algorithm because of those optimizations. Maxn algorithm Minimax algorithm Sturtevant...
    2 KB (178 words) - 07:48, 13 December 2024
  • Thumbnail for Mastermind (board game)
    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...
    26 KB (2,535 words) - 23:58, 24 April 2025
  • 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,...
    8 KB (1,150 words) - 21:30, 22 November 2024
  • 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...
    13 KB (1,646 words) - 08:35, 9 March 2025
  • best approximation or the minimax approximation algorithm. A review of technicalities in implementing the Remez algorithm is given by W. Fraser. The...
    15 KB (2,675 words) - 01:38, 7 February 2025
  • Thumbnail for AlphaZero
    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) - 03:30, 2 April 2025
  • 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) - 17:49, 6 February 2025
  • Thumbnail for Deep Blue (chess computer)
    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...
    35 KB (3,346 words) - 02:07, 9 April 2025
  • 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...
    3 KB (345 words) - 22:30, 24 August 2024
  • Thumbnail for SmarThink
    learning Texel tuning Unsupervised learning Graph and tree search algorithms Minimax Alpha-beta pruning Principal variation search Quiescence search Monte...
    969 bytes (79 words) - 18:41, 21 December 2024
  • 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...
    3 KB (364 words) - 01:20, 8 May 2023
  • Thumbnail for Reinforcement learning
    S Li (2020). "Improving Generalization of Reinforcement Learning with Minimax Distributional Soft Actor-Critic". 2020 IEEE 23rd International Conference...
    64 KB (7,580 words) - 05:29, 15 April 2025
  • Thumbnail for Computer chess
    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...
    116 KB (14,395 words) - 13:42, 25 March 2025
  • Thumbnail for MuZero
    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...
    11 KB (1,228 words) - 19:30, 6 December 2024
  • Brute-force search (category Search algorithms)
    or not each candidate satisfies the problem's statement. A brute-force algorithm that finds the divisors of a natural number n would enumerate all integers...
    14 KB (1,974 words) - 21:04, 18 April 2025
  • Thumbnail for Golden-section search
    (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...
    17 KB (2,600 words) - 07:18, 13 December 2024
  • Thumbnail for Mittens (chess)
    learning Texel tuning Unsupervised learning Graph and tree search algorithms Minimax Alpha-beta pruning Principal variation search Quiescence search Monte...
    20 KB (1,816 words) - 05:15, 3 April 2025
  • dates back to the 1940s. In his 1987 PhD thesis, Bruce Abramson combined minimax search with an expected-outcome model based on random game playouts to...
    39 KB (4,657 words) - 19:15, 24 April 2025
  • 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