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Monte Carlo Tree Search (MCTS) has recently been successfully used to create strategies for playing imperfect-information games. Despite its popularity, there are no theoretic results that guarantee its convergence to a well-defined…

Computer Science and Game Theory · Computer Science 2015-09-02 Vojtěch Kovařík , Viliam Lisý

This note proposes a procedure for enhancing the quality of probabilistic prediction algorithms via betting against their predictions. It is inspired by the success of the conformal test martingales that have been developed recently.

Machine Learning · Computer Science 2021-05-19 Vladimir Vovk

The quality of opponent Artificial Intelligence (AI) in fighting videogames is crucial. Some other game genres can rely on their story or visuals, but fighting games are all about the adversarial experience. In this paper, we will introduce…

Artificial Intelligence · Computer Science 2020-07-27 Ignacio Gajardo , Felipe Besoain , Nicolas A. Barriga

The algorithm for Monte Carlo simulation of parton-level events based on an Artificial Neural Network (ANN) proposed in arXiv:1810.11509 is used to perform a simulation of $H\to 4\ell$ decay. Improvements in the training algorithm have been…

High Energy Physics - Phenomenology · Physics 2021-02-03 I-Kai Chen , Matthew D. Klimek , Maxim Perelstein

Hannan consistency, or no external regret, is a~key concept for learning in games. An action selection algorithm is Hannan consistent (HC) if its performance is eventually as good as selecting the~best fixed action in hindsight. If both…

Computer Science and Game Theory · Computer Science 2019-07-09 Vojtěch Kovařík , Viliam Lisý

Game solving is a similar, yet more difficult task than mastering a game. Solving a game typically means to find the game-theoretic value (outcome given optimal play), and optionally a full strategy to follow in order to achieve that…

Artificial Intelligence · Computer Science 2023-11-14 Ti-Rong Wu , Hung Guei , Ting Han Wei , Chung-Chin Shih , Jui-Te Chin , I-Chen Wu

In recent years there has been much interest in the Monte Carlo tree search algorithm, a new, adaptive, randomized optimization algorithm. In fields as diverse as Artificial Intelligence, Operations Research, and High Energy Physics,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-17 S. Ali Mirsoleimani , Aske Plaat , Jaap van den Herik , Jos Vermaseren

Advances in intelligent game playing agents have led to successes in perfect information games like Go and imperfect information games like Poker. The Information Set Monte Carlo Tree Search (ISMCTS) family of algorithms outperforms…

Artificial Intelligence · Computer Science 2020-05-15 Jack Reinhardt

The celebrated Monte Carlo method estimates an expensive-to-compute quantity by random sampling. Bandit-based Monte Carlo optimization is a general technique for computing the minimum of many such expensive-to-compute quantities by adaptive…

Machine Learning · Computer Science 2021-04-30 Vivek Bagaria , Tavor Z. Baharav , Govinda M. Kamath , David N. Tse

Persuasion games are fundamental in economics and AI research and serve as the basis for important applications. However, work on this setup assumes communication with stylized messages that do not consist of rich human language. In this…

Computation and Language · Computer Science 2022-01-03 Maya Raifer , Guy Rotman , Reut Apel , Moshe Tennenholtz , Roi Reichart

DeepMind's recent spectacular success in using deep convolutional neural nets and machine learning to build superhuman level agents --- e.g. for Atari games via deep Q-learning and for the game of Go via Reinforcement Learning --- raises…

Artificial Intelligence · Computer Science 2016-04-27 Kenny Young , Ryan Hayward , Gautham Vasan

A Monte Carlo method for computing the action of a matrix exponential for a certain class of matrices on a vector is proposed. The method is based on generating random paths, which evolve through the indices of the matrix, governed by a…

Numerical Analysis · Mathematics 2019-06-19 Juan A. Acebron

Online bidding is a classic optimization problem, with several applications in online decision-making, the design of interruptible systems, and the analysis of approximation algorithms. In this work, we study online bidding under…

Computer Science and Game Theory · Computer Science 2025-10-30 Spyros Angelopoulos , Bertrand Simon

We consider a simple approach to solving assortment optimization under the random utility maximization model. The approach uses Monte-Carlo simulation to construct a ranking-based choice model that serves as a proxy for the true choice…

Optimization and Control · Mathematics 2025-10-02 Hassaan Khalid , Bradley Sturt

Simple stochastic games are two-player zero-sum stochastic games with turn-based moves, perfect information, and reachability winning conditions. We present two new algorithms computing the values of simple stochastic games. Both of them…

Computer Science and Game Theory · Computer Science 2015-07-01 Hugo Gimbert , Florian Horn

We propose Monte Carlo Permutation Search (MCPS), a general-purpose Monte Carlo Tree Search (MCTS) algorithm that improves upon the GRAVE algorithm. MCPS is relevant when deep reinforcement learning is not an option or when the computing…

Machine Learning · Computer Science 2026-05-27 Tristan Cazenave

A notion of quantum natural evolution strategies is introduced, which provides a geometric synthesis of a number of known quantum/classical algorithms for performing classical black-box optimization. Recent work of Gomes et al. [2019] on…

Quantum Physics · Physics 2020-11-23 Tianchen Zhao , Giuseppe Carleo , James Stokes , Shravan Veerapaneni

We study the sample median of independently generated quasi-Monte Carlo estimators based on randomized digital nets and prove it approximates the target integral value at almost the optimal convergence rate for various function spaces. In…

Numerical Analysis · Mathematics 2025-02-21 Zexin Pan

In this paper, we present a novel consensus-based zeroth-order algorithm tailored for non-convex multiplayer games. The proposed method leverages a metaheuristic approach using concepts from swarm intelligence to reliably identify global…

Dynamical Systems · Mathematics 2024-07-30 Enis Chenchene , Hui Huang , Jinniao Qiu

This paper introduces a principled approach for the design of a scalable general reinforcement learning agent. This approach is based on a direct approximation of AIXI, a Bayesian optimality notion for general reinforcement learning agents.…

Machine Learning · Computer Science 2010-10-04 Joel Veness , Kee Siong Ng , Marcus Hutter , David Silver