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Most practitioners use a variant of the Alpha-Beta algorithm, a simple depth-first pro- cedure, for searching minimax trees. SSS*, with its best-first search strategy, reportedly offers the potential for more efficient search. However, the…

Artificial Intelligence · Computer Science 2015-05-08 Aske Plaat , Jonathan Schaeffer , Wim Pijls , Arie de Bruin

The alpha-beta pruning algorithms have been popular in game tree searching ever since they were discovered. Numerous enhancements are proposed in literature and it is often overwhelming as to which would be the best for implementation. A…

Artificial Intelligence · Computer Science 2019-11-11 Ishan Srivastava

This paper introduces a new paradigm for minimax game-tree search algo- rithms. MT is a memory-enhanced version of Pearls Test procedure. By changing the way MT is called, a number of best-first game-tree search algorithms can be simply and…

Artificial Intelligence · Computer Science 2014-04-08 Aske Plaat , Jonathan Schaeffer , Wim Pijls , Arie de Bruin

This paper has three main contributions to our understanding of fixed-depth minimax search: (A) A new formulation for Stockman's SSS* algorithm, based on Alpha-Beta, is presented. It solves all the perceived drawbacks of SSS*, finally…

Artificial Intelligence · Computer Science 2017-02-20 Aske Plaat , Jonathan Schaeffer , Wim Pijls , Arie de Bruin

To tackle the exponentiality associated with NP-hard problems, two paradigms have been proposed. First, Branch & Bound, like Dynamic Programming, achieve efficient exact inference but requires extensive information and analysis about the…

Data Structures and Algorithms · Computer Science 2016-09-13 Julien Weissenberg , Hayko Riemenschneider , Ralf Dragon , Luc Van Gool

In this article, we prove the completeness of the following game search algorithms: unbounded best-first minimax with completion and descent with completion, i.e. we show that, with enough time, they find the best game strategy. We then…

Computer Science and Game Theory · Computer Science 2021-09-21 Quentin Cohen-Solal

Neural Architecture Search (NAS) aims to facilitate the design of deep networks for new tasks. Existing techniques rely on two stages: searching over the architecture space and validating the best architecture. NAS algorithms are currently…

Machine Learning · Computer Science 2019-11-25 Kaicheng Yu , Christian Sciuto , Martin Jaggi , Claudiu Musat , Mathieu Salzmann

In 1979 Stockman introduced the SSS* minimax search algorithm that domi- nates Alpha-Beta in the number of leaf nodes expanded. Further investigation of the algorithm showed that it had three serious drawbacks, which prevented its use by…

Artificial Intelligence · Computer Science 2014-04-08 Aske Plaat , Jonathan Schaeffer , Wim Pijls , Arie de Bruin

The paper evaluates the power of best-first search over AND/OR search spaces for solving the Most Probable Explanation (MPE) task in Bayesian networks. The main virtue of the AND/OR representation of the search space is its sensitivity to…

Artificial Intelligence · Computer Science 2012-06-26 Radu Marinescu , Rina Dechter

Deterministic policies are often preferred over stochastic ones when implemented on physical systems. They can prevent erratic and harmful behaviors while being easier to implement and interpret. However, in practice, exploration is largely…

Machine Learning · Computer Science 2024-07-09 Mahdi Kallel , Debabrota Basu , Riad Akrour , Carlo D'Eramo

Heuristic forward search is currently the dominant paradigm in classical planning. Forward search algorithms typically rely on a single, relatively simple variation of best-first search and remain fixed throughout the process of solving a…

Artificial Intelligence · Computer Science 2019-11-28 Pawel Gomoluch , Dalal Alrajeh , Alessandra Russo , Antonio Bucchiarone

Decision Tree (DT) Learning is a fundamental problem in Interpretable Machine Learning, yet it poses a formidable optimisation challenge. Practical algorithms have recently emerged, primarily leveraging Dynamic Programming and Branch &…

Machine Learning · Computer Science 2025-05-13 Ayman Chaouki , Jesse Read , Albert Bifet

In this article, we focus on search algorithms for two-player perfect information games, whose objective is to determine the best possible strategy, and ideally a winning strategy. Unfortunately, some search algorithms for games in the…

Artificial Intelligence · Computer Science 2026-03-26 Quentin Cohen-Solal

Limited Discrepancy Search (LDS) is a popular algorithm to search a state space with a heuristic to order the possible actions. Nested Search (NS) is another algorithm to search a state space with the same heuristic. NS spends more time on…

Artificial Intelligence · Computer Science 2022-10-04 Tristan Cazenave

In this paper we present and evaluate a search strategy called Decomposition Based Search (DBS) which is based on two steps: subproblem generation and subproblem solution. The generation of subproblems is done through value ranking and…

Artificial Intelligence · Computer Science 2007-05-23 W. J. van Hoeve , M. Milano

Anytime heuristic search algorithms try to find a (potentially suboptimal) solution as quickly as possible and then work to find better and better solutions until an optimal solution is obtained or time is exhausted. The most widely-known…

Artificial Intelligence · Computer Science 2023-12-21 Sofia Lemons , Wheeler Ruml , Robert C. Holte , Carlos Linares López

Much current research in AI and games is being devoted to Monte Carlo search (MCS) algorithms. While the quest for a single unified MCS algorithm that would perform well on all problems is of major interest for AI, practitioners often know…

Artificial Intelligence · Computer Science 2015-03-20 Francis Maes , David Lupien St-Pierre , Damien Ernst

The Breadth First Search (BFS) algorithm is the foundation and building block of many higher graph-based operations such as spanning trees, shortest paths and betweenness centrality. The importance of this algorithm increases each day due…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-04 Julian Romera

Search is a central problem in artificial intelligence, and breadth-first search (BFS) and depth-first search (DFS) are the two most fundamental ways to search. In this paper we derive estimates for average BFS and DFS runtime. The average…

Artificial Intelligence · Computer Science 2018-04-13 Tom Everitt , Marcus Hutter

This note recapitulates an algorithmic observation for ordered Depth-First Search (DFS) in directed graphs that immediately leads to a parallel algorithm with linear speed-up for a range of processors for non-sparse graphs. The note extends…

Data Structures and Algorithms · Computer Science 2013-11-13 Jesper Larsson Träff
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