PDF] Monte-Carlo Graph Search for AlphaZero

A new, improved search algorithm for AlphaZero is introduced which generalizes the search tree to a directed acyclic graph, which enables information flow across different subtrees and greatly reduces memory consumption. The AlphaZero algorithm has been successfully applied in a range of discrete domains, most notably board games. It utilizes a neural network, that learns a value and policy function to guide the exploration in a Monte-Carlo Tree Search. Although many search improvements have been proposed for Monte-Carlo Tree Search in the past, most of them refer to an older variant of the Upper Confidence bounds for Trees algorithm that does not use a policy for planning. We introduce a new, improved search algorithm for AlphaZero which generalizes the search tree to a directed acyclic graph. This enables information flow across different subtrees and greatly reduces memory consumption. Along with Monte-Carlo Graph Search, we propose a number of further extensions, such as the inclusion of Epsilon-greedy exploration, a revised terminal solver and the integration of domain knowledge as constraints. In our evaluations, we use the CrazyAra engine on chess and crazyhouse as examples to show that these changes bring significant improvements to AlphaZero.

Representation Matters: The Game of Chess Poses a Challenge to Vision Transformers – arXiv Vanity

Multiplayer AlphaZero – arXiv Vanity

A general reinforcement learning algorithm that masters chess, shogi, and Go through self-play

PDF] Monte-Carlo Graph Search for AlphaZero

PDF) Targeted Search Control in AlphaZero for Effective Policy Improvement

Representation Matters: The Game of Chess Poses a Challenge to Vision Transformers – arXiv Vanity

AlphaZero: Shedding new light on chess, shogi, and Go - Google DeepMind

From Alpha Go to Alpha Zero - Vaas Madrid 2018

Lessons from AlphaZero for Optimal, Model Predictive, and Adaptive Control, Lecture at KTH