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We study Bayesian learning in episodic, finite-horizon zero-sum Markov games with unknown transition and reward models. We investigate a posterior algorithm in which each player maintains a Bayesian posterior over the game model,…

机器学习 · 计算机科学 2026-03-24 Chang-Wei Yueh , Andy Zhao , Ashutosh Nayyar , Rahul Jain

Playing repeated matrix games (RMG) while maximizing the cumulative returns is a basic method to evaluate multi-agent learning (MAL) algorithms. Previous work has shown that $UCB$, $M3$, $S$ or $Exp3$ algorithms have good behaviours on…

机器学习 · 计算机科学 2018-11-02 Bruno Bouzy , Marc Métivier , Damien Pellier

Learning algorithms are often used to make decisions in sequential decision-making environments. In multi-agent settings, the decisions of each agent can affect the utilities/losses of the other agents. Therefore, if an agent is good at…

计算机科学与博弈论 · 计算机科学 2024-07-09 Angelos Assos , Yuval Dagan , Constantinos Daskalakis

Some machine learning applications require continual learning - where data comes in a sequence of datasets, each is used for training and then permanently discarded. From a Bayesian perspective, continual learning seems straightforward:…

机器学习 · 统计学 2019-02-19 Sebastian Farquhar , Yarin Gal

Control of non-episodic, finite-horizon dynamical systems with uncertain dynamics poses a tough and elementary case of the exploration-exploitation trade-off. Bayesian reinforcement learning, reasoning about the effect of actions and future…

机器学习 · 统计学 2016-08-12 Edgar D. Klenske , Philipp Hennig

We propose the use of Bayesian networks, which provide both a mean value and an uncertainty estimate as output, to enhance the safety of learned control policies under circumstances in which a test-time input differs significantly from the…

机器学习 · 计算机科学 2019-02-18 Keuntaek Lee , Kamil Saigol , Evangelos A. Theodorou

We study learning dynamics induced by strategic agents who repeatedly play a game with an unknown payoff-relevant parameter. In this dynamics, a belief estimate of the parameter is repeatedly updated given players' strategies and realized…

计算机科学与博弈论 · 计算机科学 2021-09-06 Manxi Wu , Saurabh Amin , Asuman Ozdaglar

We consider a repeated sequential game between a learner, who plays first, and an opponent who responds to the chosen action. We seek to design strategies for the learner to successfully interact with the opponent. While most previous…

机器学习 · 计算机科学 2020-07-13 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

Humans can learn many novel tasks from a very small number (1--5) of demonstrations, in stark contrast to the data requirements of nearly tabula rasa deep learning methods. We propose an expressive class of policies, a strong but general…

人工智能 · 计算机科学 2019-11-19 Tom Silver , Kelsey R. Allen , Alex K. Lew , Leslie Pack Kaelbling , Josh Tenenbaum

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

计算机科学与博弈论 · 计算机科学 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

The inability of artificial neural networks to assess the uncertainty of their predictions is an impediment to their widespread use. We distinguish two types of learnable uncertainty: model uncertainty due to a lack of training data and…

机器学习 · 计算机科学 2022-06-14 Hans Weytjens , Jochen De Weerdt

Exact algorithms for learning Bayesian networks guarantee to find provably optimal networks. However, they may fail in difficult learning tasks due to limited time or memory. In this research we adapt several anytime heuristic search-based…

人工智能 · 计算机科学 2013-09-27 Brandon Malone , Changhe Yuan

Artificial intelligence (AI) agents will need to interact with both other AI agents and humans. Creating models of associates help to predict the modeled agents' actions, plans, and intentions. This work introduces algorithms that predict…

人工智能 · 计算机科学 2020-04-28 Najma Mathema , Michael A. Goodrich , Jacob W. Crandall

We propose a learning dynamics to model how strategic agents repeatedly play a continuous game while relying on an information platform to learn an unknown payoff-relevant parameter. In each time step, the platform updates a belief estimate…

多智能体系统 · 计算机科学 2023-11-02 Manxi Wu , Saurabh Amin , Asuman Ozdaglar

We present a novel Bayesian approach to semiotic dynamics, which is a cognitive analogue of the naming game model restricted to two conventions. The one-shot learning that characterizes the agent dynamics in the basic naming game is…

物理与社会 · 物理学 2020-06-30 Gionni Marchetti , Marco Patriarca , Els Heinsalu

Bayesian reward learning from demonstrations enables rigorous safety and uncertainty analysis when performing imitation learning. However, Bayesian reward learning methods are typically computationally intractable for complex control…

机器学习 · 计算机科学 2020-12-21 Daniel S. Brown , Russell Coleman , Ravi Srinivasan , Scott Niekum

Game theory is the standard tool used to model strategic interactions in evolutionary biology and social science. Traditional game theory studies the equilibria of simple games. But is traditional game theory applicable if the game is…

混沌动力学 · 物理学 2011-09-22 Tobias Galla , J. Doyne Farmer

Continual Learning is a learning paradigm where learning systems are trained with sequential or streaming tasks. Two notable directions among the recent advances in continual learning with neural networks are ($i$) variational Bayes based…

机器学习 · 计算机科学 2020-02-24 Abhishek Kumar , Sunabha Chatterjee , Piyush Rai

We introduce the notion of universal graphs as a tool for constructing algorithms solving games of infinite duration such as parity games and mean payoff games. In the first part we develop the theory of universal graphs, with two goals:…

形式语言与自动机理论 · 计算机科学 2023-06-22 Thomas Colcombet , Nathanaël Fijalkow , Paweł Gawrychowski , Pierre Ohlmann

In imitation learning, imitators and demonstrators are policies for picking actions given past interactions with the environment. If we run an imitator, we probably want events to unfold similarly to the way they would have if the…

机器学习 · 计算机科学 2022-10-05 Michael K. Cohen , Marcus Hutter , Neel Nanda