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  2. Breadth-first search - Wikipedia

    en.wikipedia.org/wiki/Breadth-first_search

    Top part of Tic-tac-toe game tree. Breadth-first search ( BFS) is an algorithm for searching a tree data structure for a node that satisfies a given property. It starts at the tree root and explores all nodes at the present depth prior to moving on to the nodes at the next depth level. Extra memory, usually a queue, is needed to keep track of ...

  3. Temporal difference learning - Wikipedia

    en.wikipedia.org/wiki/Temporal_difference_learning

    v. t. e. Temporal difference ( TD) learning refers to a class of model-free reinforcement learning methods which learn by bootstrapping from the current estimate of the value function. These methods sample from the environment, like Monte Carlo methods, and perform updates based on current estimates, like dynamic programming methods. [1]

  4. Monte Carlo tree search - Wikipedia

    en.wikipedia.org/wiki/Monte_Carlo_tree_search

    This step is sometimes also called playout or rollout. A playout may be as simple as choosing uniform random moves until the game is decided (for example in chess, the game is won, lost, or drawn). Backpropagation: Use the result of the playout to update information in the nodes on the path from C to R. Step of Monte Carlo tree search.

  5. Tic-tac-toe variants - Wikipedia

    en.wikipedia.org/wiki/Tic-tac-toe_variants

    Tic-tac-toe is an instance of an m,n,k-game, where two players alternate taking turns on an m × n board until one of them gets k in a row. [1] Harary's generalized tic-tac-toe is an even broader generalization. The game can also be generalized as a n d game. [2] The game can be generalised even further from the above variants by playing on an ...

  6. 3D tic-tac-toe - Wikipedia

    en.wikipedia.org/wiki/3D_tic-tac-toe

    3D tic-tac-toe, also known by the trade name Qubic, is an abstract strategy board game, generally for two players. It is similar in concept to traditional tic-tac-toe but is played in a cubical array of cells, usually 4×4×4. Players take turns placing their markers in blank cells in the array. The first player to achieve four of their own ...

  7. Alpha–beta pruning - Wikipedia

    en.wikipedia.org/wiki/Alpha–beta_pruning

    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 adversarial search algorithm used commonly for machine playing of two-player combinatorial games ( Tic-tac-toe, Chess, Connect 4, etc.). It stops evaluating a move when at least one ...

  8. Tic-tac-toe - Wikipedia

    en.wikipedia.org/wiki/Tic-tac-toe

    Tic-tac-toe (American English), noughts and crosses (Commonwealth English), or Xs and Os (Canadian or Irish English) is a paper-and-pencil game for two players who take turns marking the spaces in a three-by-three grid with X or O. The player who succeeds in placing three of their marks in a horizontal, vertical, or diagonal row is the winner.

  9. Ultimate tic-tac-toe - Wikipedia

    en.wikipedia.org/wiki/Ultimate_tic-tac-toe

    Ultimate tic-tac-toe (also known as super tic-tac-toe, meta tic-tac-toe or (tic-tac-toe)²[ 1]) is a board game composed of nine tic-tac-toe boards arranged in a 3 × 3 grid. [ 2][ 3] Players take turns playing on the smaller tic-tac-toe boards until one of them wins on the larger board. Compared to traditional tic-tac-toe, strategy in this ...