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We consider a multi-agent episodic MDP setup where an agent (leader) takes action at each step of the episode followed by another agent (follower). The state evolution and rewards depend on the joint action pair of the leader and the…

Machine Learning · Computer Science 2023-01-10 Arnob Ghosh

Transformers have become the dominant architecture across a wide range of domains, largely due to the effectiveness of multi-head attention in capturing diverse representation subspaces. However, standard multi-head attention activates all…

Machine Learning · Computer Science 2026-04-27 Bilal Faye , Abdoulaye Mbaye , Hanane Azzag , Mustapha Lebbah

Game-theoretic upper expectations are joint (global) probability models that mathematically describe the behaviour of uncertain processes in terms of supermartingales; capital processes corresponding to available betting strategies.…

Probability · Mathematics 2021-07-14 Natan T'Joens , Jasper De Bock , Gert de Cooman

This paper presents a novel vehicle motion forecasting method based on multi-head attention. It produces joint forecasts for all vehicles on a road scene as sequences of multi-modal probability density functions of their positions. Its…

Machine Learning · Computer Science 2019-12-23 Jean Mercat , Thomas Gilles , Nicole El Zoghby , Guillaume Sandou , Dominique Beauvois , Guillermo Pita Gil

The training and generalization dynamics of the Transformer's core mechanism, namely the Attention mechanism, remain under-explored. Besides, existing analyses primarily focus on single-head attention. Inspired by the demonstrated benefits…

Machine Learning · Computer Science 2024-10-15 Puneesh Deora , Rouzbeh Ghaderi , Hossein Taheri , Christos Thrampoulidis

Conformal prediction is a valuable tool for quantifying predictive uncertainty of machine learning models. However, its applicability relies on the assumption of data exchangeability, a condition which is often not met in real-world…

Machine Learning · Statistics 2024-12-30 Aleksandr Podkopaev , Darren Xu , Kuang-Chih Lee

Attention layers are widely used in natural language processing (NLP) and are beginning to influence computer vision architectures. Training very large transformer models allowed significant improvement in both fields, but once trained,…

Machine Learning · Computer Science 2021-05-21 Jean-Baptiste Cordonnier , Andreas Loukas , Martin Jaggi

Sequence modeling has produced diverse architectures -- from classical recurrent neural networks to modern Transformers and state space models (SSMs) -- yet a unified theoretical understanding of expressivity and trainability trade-offs…

Machine Learning · Computer Science 2025-12-18 Ali Ghodsi

Persistent language-model agents increasingly combine tool use, tiered memory, reflective prompting, and runtime adaptation. In such systems, behavior is shaped not only by current prompts but by mutable internal conditions that influence…

Artificial Intelligence · Computer Science 2026-05-13 Krti Tallam

The framework of uncoupled online learning in multiplayer games has made significant progress in recent years. In particular, the development of time-varying games has considerably expanded its modeling capabilities. However, current regret…

Computer Science and Game Theory · Computer Science 2025-08-18 Aymeric Capitaine , Etienne Boursier , Eric Moulines , Michael I. Jordan , Alain Durmus

Fictitious play with reinforcement learning is a general and effective framework for zero-sum games. However, using the current deep neural network models, the implementation of fictitious play faces crucial challenges. Neural network model…

Machine Learning · Computer Science 2019-12-02 Rong-Jun Qin , Jing-Cheng Pang , Yang Yu

For autonomous agents to successfully operate in real world, the ability to anticipate future motions of surrounding entities in the scene can greatly enhance their safety levels since potentially dangerous situations could be avoided in…

Machine Learning · Computer Science 2019-06-04 Yeping Hu , Wei Zhan , Liting Sun , Masayoshi Tomizuka

Adaptive control of Euler-Lagrange systems is challenging when friction is governed by a finite-horizon internal state that is not directly observable from joint measurements. In this setting, the measured closed-loop state is no longer…

Machine Learning · Computer Science 2026-05-11 Giansalvo Cirrincione , Adriano Fagiolini

In this paper, we propose a simple and effective technique to allow for efficient self-supervised learning with bi-directional Transformers. Our approach is motivated by recent studies demonstrating that self-attention patterns in trained…

Computation and Language · Computer Science 2020-10-07 Ameet Deshpande , Karthik Narasimhan

Understanding the neural mechanisms responsible for human social interactions is difficult, since the brain activities of two or more individuals have to be examined simultaneously and correlated with the observed social patterns. We…

Physics and Society · Physics 2011-01-28 F. De Vico Fallani , V. Nicosia , R. Sinatra , L. Astolfi , F. Cincotti , D. Mattia , C. Wilke , A. Doud , V. Latora , B. He , F. Babiloni

Language models have shown unprecedented capabilities, sparking debate over the source of their performance. Is it merely the outcome of learning syntactic patterns and surface level statistics, or do they extract semantics and a world…

Machine Learning · Computer Science 2024-07-16 Adam Karvonen

Deep recurrent neural networks perform well on sequence data and are the model of choice. However, it is a daunting task to decide the structure of the networks, i.e. the number of layers, especially considering different computational…

Machine Learning · Computer Science 2021-01-05 Lida Zhang , Abdolghani Ebrahimi , Diego Klabjan

Despite increasing attention paid to the need for fast, scalable methods to analyze next-generation neuroscience data, comparatively little attention has been paid to the development of similar methods for behavioral analysis. Just as the…

Neurons and Cognition · Quantitative Biology 2017-11-02 Shariq Iqbal , John Pearson

We study games in which a leader makes a single commitment, and then multiple followers (each with a different utility function) respond. In particular, we study ambiguous commitment strategies in these games, in which the leader may commit…

Computer Science and Game Theory · Computer Science 2024-09-10 Natalie Collina , Rabanus Derr , Aaron Roth

In the compulsive gambler process there is a finite set of agents who meet pairwise at random times ($i$ and $j$ meet at times of a rate-$\nu_{ij}$ Poisson process) and, upon meeting, play an instantaneous fair game in which one wins the…

Probability · Mathematics 2014-06-06 David Aldous , Daniel Lanoue , Justin Salez