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Transposition table information


A transposition table is a cache of previously seen positions, and associated evaluations, in a game tree generated by a computer game playing program. If a position recurs via a different sequence of moves, the value of the position is retrieved from the table, avoiding re-searching the game tree below that position. Transposition tables are primarily useful in perfect-information games (where the entire state of the game is known to all players at all times). The usage of transposition tables is essentially memoization applied to the tree search and is a form of dynamic programming.

Transposition tables are typically implemented as hash tables encoding the current board position as the hash index. The number of possible positions that may occur in a game tree is an exponential function of depth of search, and can be thousands to millions or even much greater. Transposition tables may therefore consume most of available system memory and are usually most of the memory footprint of game playing programs.

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Transposition table

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A transposition table is a cache of previously seen positions, and associated evaluations, in a game tree generated by a computer game playing program...

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Transposition

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Look up transposition in Wiktionary, the free dictionary. Transposition may refer to: Transposition (mathematics), a permutation which exchanges two elements...

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Hash table

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in the collection, rather than element retrieval. A transposition table to a complex Hash Table which stores information about each section that has...

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Negamax

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color) is alphaOrig := α (* Transposition Table Lookup; node is the lookup key for ttEntry *) ttEntry := transpositionTableLookup(node) if ttEntry is valid...

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Computer chess

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modestly with processor speed, but sufficient memory to hold a large transposition table (up to several gigabytes or more) is more important to playing strength...

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Zobrist hashing

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abstract board games, such as chess and Go, to implement transposition tables, a special kind of hash table that is indexed by a board position and used to avoid...

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Hash function

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Cryptographic hash function Distributed hash table Identicon Low-discrepancy sequence Transposition table This is useful in cases where keys are devised...

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ChessV

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Piece-square tables, Pawn structure evaluation, Mobility evaluation, King safety, King tropism, Lazy evaluation. Hash Tables: Transposition table, Pawn structure...

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Minimax

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tree search Negamax Negascout Sion's minimax theorem Tit for Tat Transposition table Wald's maximin model Bacchus, Barua (January 2013). Provincial Healthcare...

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Principal variation search

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use a form of NegaScout in their search. Most chess engines use a transposition table in which the relevant part of the search tree is stored. This part...

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ADFGVX cipher

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cipher was a fractionating transposition cipher which combined a modified Polybius square with a single columnar transposition. The cipher is named after...

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Crafty

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exchange evaluation, quiescence search, alpha-beta pruning, a transposition table, a refutation table, an evaluation cache, selective extensions, recursive null-move...

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Affine cipher

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code can be used to encrypt text with the affine cipher: # Prints a transposition table for an affine cipher. def affine(a: int, b: int, s: str): import...

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Chess engine

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(speculative analysis while the opponent is thinking) aka Permanent Brain. Transposition table sizes. GUI settings. Opening book settings. These differences affect...

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Contraposition

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In logic and mathematics, contraposition, or transposition, refers to the inference of going from a conditional statement into its logically equivalent...

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Markets in Financial Instruments Directive 2014

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implementing directive were transposed in full and on time, with minor exceptions. The European Commission has published a transposition table linking to lists of...

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Computer Go

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deepening approach. In order to quickly store a full-sized Go board in a transposition table, a hashing technique for mathematically summarizing is generally...

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Computer Othello

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used to reduce the size of the searched tree: good move ordering, transposition table and selective Search. To speed up the search on machines with multiple...

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CuckooChess

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by Matthieu Leschemelle. The name CuckooChess comes due that the transposition table is based on Cuckoo hashing. Android app based chess gaming app Droidfish...

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