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2015 | OriginalPaper | Buchkapitel

Comparative Study of Monte-Carlo Tree Search and Alpha-Beta Pruning in Amazons

verfasst von : Hikari Kato, Szilárd Zsolt Fazekas, Mayumi Takaya, Akihiro Yamamura

Erschienen in: Information and Communication Technology

Verlag: Springer International Publishing

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Abstract

The game of Amazons is a combinatorial game sharing some properties of both chess and Go. We study programs which play Amazons with strategies based on Monte-Carlo Tree Search and a classical search algorithm, Alpha-Beta pruning. We execute several experiments to investigate the effect of increasing the number of searches in a Monte-Carlo Tree Search program. We show that increasing the number of searches is not an efficient method to strengthen the program for Amazons. On the other hand, augmenting the algorithms with a choice of several evaluation functions fulfills has great influence on playing strength.

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Literatur
1.
Zurück zum Zitat Allis, L.V.: Searching for Solutions in games and Artificial Intelligence. Ph.D. thesis, Maastricht, Rrijksuniversiteit Limburg (1995) Allis, L.V.: Searching for Solutions in games and Artificial Intelligence. Ph.D. thesis, Maastricht, Rrijksuniversiteit Limburg (1995)
2.
Zurück zum Zitat Auer, P., Cesa-Bianchi, N., Fischer, P.: Finite-time analysis of the multiarmed bandit problem. Mach. Learning 47(2–3), 235–256 (2002)CrossRefMATH Auer, P., Cesa-Bianchi, N., Fischer, P.: Finite-time analysis of the multiarmed bandit problem. Mach. Learning 47(2–3), 235–256 (2002)CrossRefMATH
3.
Zurück zum Zitat Avetisyan, H., Lorentz, R.J.: Selective search in an Amazons program. In: Schaeffer, J., Müller, M., Björnsson, Y. (eds.) CG 2002. LNCS, vol. 2883, pp. 123–141. Springer, Heidelberg (2003) CrossRef Avetisyan, H., Lorentz, R.J.: Selective search in an Amazons program. In: Schaeffer, J., Müller, M., Björnsson, Y. (eds.) CG 2002. LNCS, vol. 2883, pp. 123–141. Springer, Heidelberg (2003) CrossRef
4.
Zurück zum Zitat Berlekamp, E.R.: Sums of \(N \times 2\) Amazons. Institute of Mathematical Statistics Lecture Notes - Monograph Series, vol. 35 (2000) Berlekamp, E.R.: Sums of \(N \times 2\) Amazons. Institute of Mathematical Statistics Lecture Notes - Monograph Series, vol. 35 (2000)
5.
Zurück zum Zitat Buro, M.: Simple Amazons endgames and their connection to Hamilton circuits in cubic subgrid graphs. In: Marsland, T., Frank, I. (eds.) CG 2001. LNCS, vol. 2063, pp. 250–261. Springer, Heidelberg (2002) CrossRef Buro, M.: Simple Amazons endgames and their connection to Hamilton circuits in cubic subgrid graphs. In: Marsland, T., Frank, I. (eds.) CG 2001. LNCS, vol. 2063, pp. 250–261. Springer, Heidelberg (2002) CrossRef
6.
Zurück zum Zitat Coulom, R.: Efficient selectivity and backup operators in Monte-Carlo tree search. In: van den Herik, H.J., Ciancarini, P., Donkers, H.H.L.M.J. (eds.) CG 2006. LNCS, vol. 4630, pp. 72–83. Springer, Heidelberg (2007) CrossRef Coulom, R.: Efficient selectivity and backup operators in Monte-Carlo tree search. In: van den Herik, H.J., Ciancarini, P., Donkers, H.H.L.M.J. (eds.) CG 2006. LNCS, vol. 4630, pp. 72–83. Springer, Heidelberg (2007) CrossRef
7.
Zurück zum Zitat Coulom, R.: Computing Elo ratings of move patterns in the game of Go. ICGA J. 30, 198–208 (2007) Coulom, R.: Computing Elo ratings of move patterns in the game of Go. ICGA J. 30, 198–208 (2007)
8.
Zurück zum Zitat Gelly, S., Wang, Y., Munos, R., Teytaud, O.: Modification of UCT with patterns in Monte-Carlo Go. Technical Report PR-6062, INRIA (2006) Gelly, S., Wang, Y., Munos, R., Teytaud, O.: Modification of UCT with patterns in Monte-Carlo Go. Technical Report PR-6062, INRIA (2006)
9.
Zurück zum Zitat Hensgens, P.: A Knowledge-based Approach of the Game of Amazons. Master’s thesis, Maastricht University (2001) Hensgens, P.: A Knowledge-based Approach of the Game of Amazons. Master’s thesis, Maastricht University (2001)
10.
Zurück zum Zitat Hoki, K., Muramatsu, M.: Efficiency of three forward-pruning techniques in Shogi: futility pruning, null-move pruning, and late move reduction (LMR). Entertainment Comput. 3, 51–57 (2012)CrossRef Hoki, K., Muramatsu, M.: Efficiency of three forward-pruning techniques in Shogi: futility pruning, null-move pruning, and late move reduction (LMR). Entertainment Comput. 3, 51–57 (2012)CrossRef
11.
Zurück zum Zitat Kaneko, T.: Evaluation functions of computer Shogi programs and supervised learning using game records. J. Jpn. Soc. Artif. Intell. 27, 75–82 (2012) Kaneko, T.: Evaluation functions of computer Shogi programs and supervised learning using game records. J. Jpn. Soc. Artif. Intell. 27, 75–82 (2012)
12.
Zurück zum Zitat Kloetzer, J., Iida, H., Bouzy, B.: The Monte-Carlo approach in Amazons. In: Computer Games Workshop, pp. 185–192, Amsterdam, The Netherlands (2007) Kloetzer, J., Iida, H., Bouzy, B.: The Monte-Carlo approach in Amazons. In: Computer Games Workshop, pp. 185–192, Amsterdam, The Netherlands (2007)
13.
Zurück zum Zitat Kloetzer, J., Iida, H., Bouzy, B.: A comparative study of solvers in Amazons endgames. In: IEEE 2008 Symposium on Computational Intelligence in Games, Perth, Australia (2008) Kloetzer, J., Iida, H., Bouzy, B.: A comparative study of solvers in Amazons endgames. In: IEEE 2008 Symposium on Computational Intelligence in Games, Perth, Australia (2008)
14.
Zurück zum Zitat Kloetzer, J., Iida, H., Bouzy, B.: Playing Amazons endgames. ICGA J. 32, 140–148 (2009)CrossRef Kloetzer, J., Iida, H., Bouzy, B.: Playing Amazons endgames. ICGA J. 32, 140–148 (2009)CrossRef
15.
Zurück zum Zitat Kloetzer, J.: Experiments in Monte-Carlo Amazons. IPSJ SIG Technical Report, vol. 2010-GI-24 No. 6, pp. 1–4 (2010) Kloetzer, J.: Experiments in Monte-Carlo Amazons. IPSJ SIG Technical Report, vol. 2010-GI-24 No. 6, pp. 1–4 (2010)
16.
Zurück zum Zitat Kloetzer, J.: Monte-Carlo opening books for Amazons. In: 7th Conference on Computer and Games (2010) Kloetzer, J.: Monte-Carlo opening books for Amazons. In: 7th Conference on Computer and Games (2010)
19.
Zurück zum Zitat Kocsis, L., Szepesvári, C.: Bandit based Monte Carlo planning. In: 17th European Conference on Machine Learning (ECML 2006), pp. 282–293 (2006) Kocsis, L., Szepesvári, C.: Bandit based Monte Carlo planning. In: 17th European Conference on Machine Learning (ECML 2006), pp. 282–293 (2006)
20.
Zurück zum Zitat Kozelek, T.: Methods of MCTS and the game Arimaa. Master’s thesis, Charles University in Prague (2009) Kozelek, T.: Methods of MCTS and the game Arimaa. Master’s thesis, Charles University in Prague (2009)
22.
Zurück zum Zitat Matsubara, H., Iida, H., Grimbergen, R.: Chess, Shogi, Go, natural developments in game research. ICCA J. 19, 103–112 (1996) Matsubara, H., Iida, H., Grimbergen, R.: Chess, Shogi, Go, natural developments in game research. ICCA J. 19, 103–112 (1996)
23.
Zurück zum Zitat Motwani, R., Raghavan, P.: Randomized Algorithms. Cambridge University Press, Cambridge (1995) CrossRefMATH Motwani, R., Raghavan, P.: Randomized Algorithms. Cambridge University Press, Cambridge (1995) CrossRefMATH
Metadaten
Titel
Comparative Study of Monte-Carlo Tree Search and Alpha-Beta Pruning in Amazons
verfasst von
Hikari Kato
Szilárd Zsolt Fazekas
Mayumi Takaya
Akihiro Yamamura
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-24315-3_14