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This paper studies the problem of learning the large-scale Gaussian graphical models that are multivariate totally positive of order two ($\text{MTP}_2$). By introducing the concept of bridge, which commonly exists in large-scale sparse…

Machine Learning · Computer Science 2023-10-02 Xiwen Wang , Jiaxi Ying , Daniel P. Palomar

We present a new quantum Monte Carlo algorithm suitable for generically complex problems, such as systems coupled to external magnetic fields or anyons in two spatial dimensions. We find that the choice of gauge plays a nontrivial role, and…

Condensed Matter · Physics 2009-10-22 Lizeng Zhang , Geoff Canright , Ted Barnes

As part of an effort to apply the rigorous guarantees of formal verification to multi-agent systems, the field of equilibrium analysis, also called rational verification, studies equilibria in multiplayer games to reason about system-level…

Computer Science and Game Theory · Computer Science 2026-04-28 Senthil Rajasekaran , Jean-François Raskin , Moshe Y. Vardi

The paper proposes a novel upper confidence bound (UCB) procedure for identifying the arm with the largest mean in a multi-armed bandit game in the fixed confidence setting using a small number of total samples. The procedure cannot be…

Machine Learning · Statistics 2013-12-30 Kevin Jamieson , Matthew Malloy , Robert Nowak , Sébastien Bubeck

Computing systems interacting with real-world processes must safely and reliably process uncertain data. The Monte Carlo method is a popular approach for computing with such uncertain values. This article introduces a framework for…

This paper describes three different optimised implementations of playouts, as commonly used by game-playing algorithms such as Monte-Carlo Tree Search. Each of the optimised implementations is applicable only to specific sets of games,…

Artificial Intelligence · Computer Science 2021-11-05 Dennis J. N. J. Soemers , Éric Piette , Matthew Stephenson , Cameron Browne

The Maximum Balanced Biclique Problem (MBBP) is a prominent model with numerous applications. Yet, the problem is NP-hard and thus computationally challenging. We propose novel ideas for designing effective exact algorithms for MBBP.…

Discrete Mathematics · Computer Science 2017-05-23 Yi Zhou , André Rossi , Jin-Kao Hao

Several problems in planning and reactive synthesis can be reduced to the analysis of two-player quantitative graph games. {\em Optimization} is one form of analysis. We argue that in many cases it may be better to replace the optimization…

Formal Languages and Automata Theory · Computer Science 2021-01-08 Suguman Bansal , Krishnendu Chatterjee , Moshe Y. Vardi

We describe a class of combinatorial design problems which typically occur in professional sailing league competitions. We discuss connections to resolvable block designs and equitable coverings and to scheduling problems in operations…

Optimization and Control · Mathematics 2025-10-01 Robert Schüler , Achill Schürmann

A casino offers the following game. There are three cups each containing a die. You are being told that the dice in the cups are all the same, but possibly nonstandard. For a bet of \$1, the game master shakes all three cups and lets you…

Probability · Mathematics 2025-09-16 Pierre C Bellec , Tobias Fritz

Provably correct distributed protocols, which are a critical component of modern distributed systems, are highly challenging to design and have often required decades of human effort. These protocols allow multiple agents to coordinate to…

Artificial Intelligence · Computer Science 2026-02-02 Yujie Hui , Xiaoyi Lu , Andrew Perrault , Yang Wang

CIB matrices are N x N hypermatrices, the elements of which are m x n matrices. They are used in Cross-Impact Balance Analysis, a concept applied in social sciences, management sciences, scenario analysis and technology foresight to…

Physics and Society · Physics 2009-12-31 Wolfgang Weimer-Jehle

In this article we propose a heuristic algorithm to explore search space trees associated with instances of combinatorial optimization problems. The algorithm is based on Monte Carlo tree search, a popular algorithm in game playing that is…

Artificial Intelligence · Computer Science 2022-11-17 Jorik Jooken , Pieter Leyman , Tony Wauters , Patrick De Causmaecker

The success of Graph Neural Networks (GNNs) has led to a need for understanding their decision-making process and providing explanations for their predictions, which has given rise to explainable AI (XAI) that offers transparent…

Machine Learning · Computer Science 2024-02-21 Sangwoo Seo , Sungwon Kim , Chanyoung Park

Recent advances in bandit tools and techniques for sequential learning are steadily enabling new applications and are promising the resolution of a range of challenging related problems. We study the game tree search problem, where the goal…

Machine Learning · Statistics 2017-11-07 Emilie Kaufmann , Wouter Koolen

The maximum-cut problem is one of the fundamental problems in combinatorial optimization. With the advent of quantum computers, both the maximum-cut and the equivalent quadratic unconstrained binary optimization problem have experienced…

Optimization and Control · Mathematics 2022-02-07 Daniel Rehfeldt , Thorsten Koch , Yuji Shinano

We present the technical side of reasoning in Regular Boardgames (RBG) language -- a universal General Game Playing (GGP) formalism for the class of finite deterministic games with perfect information, encoding rules in the form of regular…

Artificial Intelligence · Computer Science 2020-06-16 Jakub Kowalski , Radosław Miernik , Maksymilian Mika , Wojciech Pawlik , Jakub Sutowicz , Marek Szykuła , Andrzej Tkaczyk

This paper introduces an information-theoretic method for selecting a subset of problems which gives the most information about a group of problem-solving algorithms. This method was tested on the games in the General Video Game AI (GVGAI)…

Artificial Intelligence · Computer Science 2020-05-19 Matthew Stephenson , Damien Anderson , Ahmed Khalifa , John Levine , Jochen Renz , Julian Togelius , Christoph Salge

The Information Bottleneck (IB) framework is a general characterization of optimal representations obtained using a principled approach for balancing accuracy and complexity. Here we present a new framework, the Dual Information Bottleneck…

Information Theory · Computer Science 2020-06-09 Zoe Piran , Ravid Shwartz-Ziv , Naftali Tishby

Advances in technology, a growing pool of sensitive data, and heightened global tensions has increased the demand for skilled cybersecurity professionals. Despite the recent increase in attention given to cybersecurity education,…

Cryptography and Security · Computer Science 2025-02-11 Dylan Huitema , Albert Wong