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This work exploits action equivariance for representation learning in reinforcement learning. Equivariance under actions states that transitions in the input space are mirrored by equivalent transitions in latent space, while the map and…

Machine Learning · Computer Science 2020-02-28 Elise van der Pol , Thomas Kipf , Frans A. Oliehoek , Max Welling

Two natural strategy elimination procedures have been studied for strategic games. The first one involves the notion of (strict, weak, etc) dominance and the second the notion of rationalizability. In the case of dominance the criterion of…

Computer Science and Game Theory · Computer Science 2007-05-23 Krzysztof R. Apt

Recently, in [K.R. Apt and S. Simon: Well-founded extensive games with perfect information, TARK21], we studied well-founded games, a natural extension of finite extensive games with perfect information in which all plays are finite. We…

Computer Science and Game Theory · Computer Science 2023-07-18 Krzysztof R. Apt , Sunil Simon

In this paper, we use the interaction inside adversarial perturbations to explain and boost the adversarial transferability. We discover and prove the negative correlation between the adversarial transferability and the interaction inside…

Machine Learning · Computer Science 2023-12-04 Xin Wang , Jie Ren , Shuyun Lin , Xiangming Zhu , Yisen Wang , Quanshi Zhang

Hybrid (and impact) systems are dynamical systems experiencing both continuous and discrete transitions. In this work, we derive necessary and sufficient conditions for when a given differential form is invariant, with special attention…

Dynamical Systems · Mathematics 2022-01-27 William Clark , Anthony Bloch

We examine normal form solutions of decision trees under typical choice functions induced by lower previsions. For large trees, finding such solutions is hard as very many strategies must be considered. In an earlier paper, we extended…

Statistics Theory · Mathematics 2018-08-10 Nathan Huntley , Matthias C. M. Troffaes

Rearranging objects on a tabletop surface by means of nonprehensile manipulation is a task which requires skillful interaction with the physical world. Usually, this is achieved by precisely modeling physical properties of the objects,…

Robotics · Computer Science 2018-09-21 Weihao Yuan , Johannes A. Stork , Danica Kragic , Michael Y. Wang , Kaiyu Hang

According to the standard imitation protocol, a less successful player adopts the strategy of the more successful one faithfully for future success. This is the cornerstone of evolutionary game theory that explores the vitality of competing…

Physics and Society · Physics 2019-09-27 Attila Szolnoki , Xiaojie Chen

Learning a sequence of tasks without access to i.i.d. observations is a widely studied form of continual learning (CL) that remains challenging. In principle, Bayesian learning directly applies to this setting, since recursive and one-off…

This paper considers a continuous time Kyle-Back model which is a game problem between an insider and a market marker. The existing literature typically focuses on the existence of equilibrium by using the PDE approach, which requires…

Optimization and Control · Mathematics 2025-06-17 Bixing Qiao , Jianfeng Zhang

Stackelberg equilibria have become increasingly important as a solution concept in computational game theory, largely inspired by practical problems such as security settings. In practice, however, there is typically uncertainty regarding…

Computer Science and Game Theory · Computer Science 2017-11-23 Christian Kroer , Gabriele Farina , Tuomas Sandholm

Combinatorial games are widely used in finite model theory, constraint satisfaction, modal logic and concurrency theory to characterize logical equivalences between structures. In particular, Ehrenfeucht-Fraisse games, pebble games, and…

Logic in Computer Science · Computer Science 2018-06-29 Samson Abramsky , Nihil Shah

Many important applications in biochemistry, materials science, and catalysis sit squarely at the interface between quantum and statistical mechanics: coherent evolution is interrupted by discrete events, such as binding of a substrate or…

Chemical Physics · Physics 2020-03-06 Jacob R. Lindale , Shannon L. Eriksson , Christian P. N. Tanner , Warren S. Warren

Predicting the evolution of a large system of units using its structure of interaction is a fundamental problem in complex system theory. And so is the problem of reconstructing the structure of interaction from temporal observations. Here,…

Statistical Mechanics · Physics 2025-02-10 Charles Murphy , Vincent Thibeault , Antoine Allard , Patrick Desrosiers

In 2011, Rideau and Winskel introduced concurrent games and strategies as event structures, generalizing prior work on causal formulations of games. In this paper we give a detailed, self-contained and slightly-updated account of the…

Logic · Mathematics 2019-03-14 Simon Castellan , Pierre Clairambault , Silvain Rideau , Glynn Winskel

We introduce a new type of game on natural numbers of variable countable length, which can be regarded as a diagonalization of all games of fixed countable length on natural numbers. Building on previous work by Trang and Woodin, we show…

Logic · Mathematics 2026-01-08 Takehiko Gappo , Sandra Müller

We use the indirect evolutionary approach to study evolutionarily stable preferences against multiple mutations in single- and multi-population matching settings, respectively. Players choose strategies to maximize their subjective…

Computer Science and Game Theory · Computer Science 2025-07-08 Yu-Sung Tu , Wei-Torng Juang

Domain Generalization (DG) studies the capability of a deep learning model to generalize to out-of-training distributions. In the last decade, literature has been massively filled with training methodologies that claim to obtain more…

Computer Vision and Pattern Recognition · Computer Science 2023-05-10 Simone Angarano , Mauro Martini , Francesco Salvetti , Vittorio Mazzia , Marcello Chiaberge

We present a novel model architecture which leverages deep learning tools to perform exact Bayesian inference on sets of high dimensional, complex observations. Our model is provably exchangeable, meaning that the joint distribution over…

Machine Learning · Statistics 2018-10-17 Iryna Korshunova , Jonas Degrave , Ferenc Huszár , Yarin Gal , Arthur Gretton , Joni Dambre

The Transformer, a highly expressive architecture for sequence modeling, has recently been adapted to solve sequential decision-making, most notably through the Decision Transformer (DT), which learns policies by conditioning on desired…

Machine Learning · Computer Science 2025-10-15 Xiaohang Tang , Zhuowen Cheng , Satyabrat Kumar