# Difference between revisions of "MCαβ"

GerdIsenberg (talk | contribs) |
GerdIsenberg (talk | contribs) |
||

Line 33: | Line 33: | ||

* [http://www.talkchess.com/forum/viewtopic.php?t=66280&start=67 Re: Announcing lczero] by [[Daniel Shawul]], [[CCC]], January 21, 2018 » [[Leela Chess Zero]] | * [http://www.talkchess.com/forum/viewtopic.php?t=66280&start=67 Re: Announcing lczero] by [[Daniel Shawul]], [[CCC]], January 21, 2018 » [[Leela Chess Zero]] | ||

* [http://www.talkchess.com/forum/viewtopic.php?t=66414 Alpha-Beta as a rollouts algorithm] by [[Daniel Shawul]], [[CCC]], January 25, 2018 » [[Alpha-Beta]], [[Monte-Carlo Tree Search]], [[Scorpio]] | * [http://www.talkchess.com/forum/viewtopic.php?t=66414 Alpha-Beta as a rollouts algorithm] by [[Daniel Shawul]], [[CCC]], January 25, 2018 » [[Alpha-Beta]], [[Monte-Carlo Tree Search]], [[Scorpio]] | ||

+ | |||

+ | =External Links= | ||

+ | * [[:Category:Larry Coryell|Larry Coryell]] & [[:Category:The Eleventh House|The Eleventh House]] - [https://www.discogs.com/composition/f03f166e-3026-45ed-8b52-fe9999a5cfae-Funky-Waltz Funky Waltz], [https://en.wikipedia.org/wiki/Oslo Oslo] 1975, [https://en.wikipedia.org/wiki/YouTube YouTube] Video | ||

+ | : feat. [https://de.wikipedia.org/wiki/Mike_Lawrence Mike Lawrence], [[:Category:Alphonse Mouzon|Alphonse Mouzon]], [[:Category:John Lee|John Lee]], [https://www.discogs.com/artist/138771-Mike-Mandel Mike Mandel] | ||

+ | : {{#evu:https://www.youtube.com/watch?v=_2BfZy6WT3c|alignment=left|valignment=top}} | ||

=References= | =References= | ||

Line 38: | Line 43: | ||

'''[[Search|Up one level]]''' | '''[[Search|Up one level]]''' | ||

+ | [[Category:Larry Coryell]] | ||

+ | [[Category:John Lee]] | ||

+ | [[Category:Alphonse Mouzon]] | ||

+ | [[Category:The Eleventh House]] |

## Revision as of 23:15, 13 October 2018

**Monte-Carlo Alpha-Beta**, **(MCαβ)**

is a Best-First search algorithm based on Monte-Carlo Tree Search and a shallow alpha-beta depth-first-search. It is used in Lines of Action and in conjunction with UCT (Upper Confidence bounds applied to Trees) also in Chess. It is similar to the the Best-First Minimax-Search proposed by Richard Korf and Max Chickering ^{[1]}.

# Four Phases

MCαβ can be divided into four strategic phases, repeated as long as there is time left:

- In the Selection phase the tree is traversed from the root node until it selects a leaf node that is not added to the tree yet
- The Expansion strategy adds the leaf node to the tree
- The Playout phase performs a shallow alpha-beta search
- The Backpropagation strategy propagates the results through the tree

# See also

# Publications

- Richard Korf, Max Chickering (
**1996**).*Best-First Minimax Search*. Artificial Intelligence, Vol. 84, No 1-2 - Pim Nijssen, Mark Winands (
**2011**).*Playout Search for Monte-Carlo Tree Search in Multi-Player Games*. Advances in Computer Games 13, pdf - Cameron Browne, Edward Powley, Daniel Whitehouse, Simon Lucas, Peter Cowling, Philipp Rohlfshagen, Stephen Tavener, Diego Perez, Spyridon Samothrakis, Simon Colton (
**2012**).*A Survey of Monte Carlo Tree Search Methods*. IEEE Transactions on Computational Intelligence and AI in Games, Vol. 4, No. 1 - Hendrik Baier, Mark Winands (
**2013**).*Monte-Carlo Tree Search and minimax hybrids*. CIG 2013, pdf - Hendrik Baier, Mark Winands (
**2014**).*Monte-Carlo Tree Search and Minimax Hybrids with Heuristic Evaluation Functions*. ECAI CGW 2014 - Bojun Huang (
**2015**).*Pruning Game Tree by Rollouts*. AAAI » MCTS, MT-SSS*, Rollout Paradigm^{[2]} - Hendrik Baier (
**2017**).*A Rollout-Based Search Algorithm Unifying MCTS and Alpha-Beta*. Computer Games

# Forum Posts

- MCTS without random playout? by Antonio Torrecillas, CCC, January 01, 2012 » B*
- Help with Best-First Select-Formula by Srdja Matovic, CCC, July 23, 2012
- Re: Announcing lczero by Daniel Shawul, CCC, January 21, 2018 » Leela Chess Zero
- Alpha-Beta as a rollouts algorithm by Daniel Shawul, CCC, January 25, 2018 » Alpha-Beta, Monte-Carlo Tree Search, Scorpio

# External Links

- Larry Coryell & The Eleventh House - Funky Waltz, Oslo 1975, YouTube Video

- feat. Mike Lawrence, Alphonse Mouzon, John Lee, Mike Mandel

# References

- ↑ Richard Korf, Max Chickering (
**1996**).*Best-First Minimax Search*. Artificial Intelligence, Vol. 84, No 1-2 - ↑ Re: Announcing lczero by Daniel Shawul, CCC, January 21, 2018 » Leela Chess Zero