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We present a framework to derive risk bounds for vector-valued learning with a broad class of feature maps and loss functions. Multi-task learning and one-vs-all multi-category learning are treated as examples. We discuss in detail…

Machine Learning · Statistics 2016-06-07 Andreas Maurer , Massimiliano Pontil

Many Reinforcement Learning algorithms assume a Markov reward function to guarantee optimality. However, not all reward functions are Markov. This paper proposes a framework for mapping non-Markov reward functions into equivalent Markov…

Machine Learning · Computer Science 2024-08-19 Gregory Hyde , Eugene Santos

Over the last few years, the Shapley value, a solution concept from cooperative game theory, has found numerous applications in machine learning. In this paper, we first discuss fundamental concepts of cooperative game theory and axiomatic…

Machine Learning · Computer Science 2022-05-27 Benedek Rozemberczki , Lauren Watson , Péter Bayer , Hao-Tsung Yang , Olivér Kiss , Sebastian Nilsson , Rik Sarkar

Policy gradient algorithms have proven to be successful in diverse decision making and control tasks. However, these methods suffer from high sample complexity and instability issues. In this paper, we address these challenges by providing…

Machine Learning · Computer Science 2021-03-17 Yannis Flet-Berliac , Reda Ouhamma , Odalric-Ambrym Maillard , Philippe Preux

We propose a novel framework to controller design in environments with a two-level structure: a known high-level graph ("map") in which each vertex is populated by a Markov decision process, called a "room". The framework "separates…

Artificial Intelligence · Computer Science 2025-03-11 Florent Delgrange , Guy Avni , Anna Lukina , Christian Schilling , Ann Nowé , Guillermo A. Pérez

Transfer in reinforcement learning refers to the notion that generalization should occur not only within a task but also across tasks. We propose a transfer framework for the scenario where the reward function changes between tasks but the…

Artificial Intelligence · Computer Science 2018-04-13 André Barreto , Will Dabney , Rémi Munos , Jonathan J. Hunt , Tom Schaul , Hado van Hasselt , David Silver

This paper focuses on finding reinforcement learning policies for control systems with hard state and action constraints. Despite its success in many domains, reinforcement learning is challenging to apply to problems with hard constraints,…

Machine Learning · Computer Science 2020-03-24 Liyuan Zheng , Yuanyuan Shi , Lillian J. Ratliff , Baosen Zhang

Modern tasks in reinforcement learning have large state and action spaces. To deal with them efficiently, one often uses predefined feature mapping to represent states and actions in a low-dimensional space. In this paper, we study…

Machine Learning · Computer Science 2021-02-24 Dongruo Zhou , Jiafan He , Quanquan Gu

Existing off-policy reinforcement learning algorithms often rely on an explicit state-action-value function representation, which can be problematic in high-dimensional action spaces due to the curse of dimensionality. This reliance results…

Machine Learning · Computer Science 2025-02-18 Fabian Otto , Philipp Becker , Ngo Anh Vien , Gerhard Neumann

Motivated by value function estimation in reinforcement learning, we study statistical linear inverse problems, i.e., problems where the coefficients of a linear system to be solved are observed in noise. We consider penalized estimators,…

Machine Learning · Computer Science 2012-07-03 Bernardo Avila Pires , Csaba Szepesvari

Feature engineering is a crucial step in the process of predictive modeling. It involves the transformation of given feature space, typically using mathematical functions, with the objective of reducing the modeling error for a given…

Artificial Intelligence · Computer Science 2017-09-22 Udayan Khurana , Horst Samulowitz , Deepak Turaga

We introduce a model-free algorithm for learning in Markov decision processes with parameterized actions-discrete actions with continuous parameters. At each step the agent must select both which action to use and which parameters to use…

Artificial Intelligence · Computer Science 2015-11-30 Warwick Masson , Pravesh Ranchod , George Konidaris

By reusing data throughout training, off-policy deep reinforcement learning algorithms offer improved sample efficiency relative to on-policy approaches. For continuous action spaces, the most popular methods for off-policy learning include…

Machine Learning · Computer Science 2023-12-01 Jared Markowitz , Jesse Silverberg , Gary Collins

Both the optimal value function and the optimal policy can be used to model an optimal controller based on the duality established by the Bellman equation. Even with this duality, no parametric model has been able to output both policy and…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Jicheng Shi , Yingzhao Lian , Colin N. Jones

We adapt the optimization's concept of momentum to reinforcement learning. Seeing the state-action value functions as an analog to the gradients in optimization, we interpret momentum as an average of consecutive $q$-functions. We derive…

Machine Learning · Computer Science 2020-04-01 Nino Vieillard , Bruno Scherrer , Olivier Pietquin , Matthieu Geist

In reinforcement learning, conducting task composition by forming cohesive, executable sequences from multiple tasks remains challenging. However, the ability to (de)compose tasks is a linchpin in developing robotic systems capable of…

Artificial Intelligence · Computer Science 2025-03-13 Georgios Bakirtzis , Michail Savvas , Ruihan Zhao , Sandeep Chinchali , Ufuk Topcu

Reinforcement learning has been successful across several applications in which agents have to learn to act in environments with sparse feedback. However, despite this empirical success there is still a lack of theoretical understanding of…

Machine Learning · Statistics 2023-11-08 Blake Bordelon , Paul Masset , Henry Kuo , Cengiz Pehlevan

Recent years have seen the application of deep reinforcement learning techniques to cooperative multi-agent systems, with great empirical success. However, given the lack of theoretical insight, it remains unclear what the employed neural…

Multiagent Systems · Computer Science 2024-12-20 Jacopo Castellini , Frans A. Oliehoek , Rahul Savani , Shimon Whiteson

Estimating the value function for a fixed policy is a fundamental problem in reinforcement learning. Policy evaluation algorithms---to estimate value functions---continue to be developed, to improve convergence rates, improve stability and…

Machine Learning · Statistics 2018-08-29 Touqir Sajed , Wesley Chung , Martha White

Our society is governed by a set of norms which together bring about the values we cherish such as safety, fairness or trustworthiness. The goal of value-alignment is to create agents that not only do their tasks but through their…

Artificial Intelligence · Computer Science 2025-05-22 Kryspin Varys , Federico Cerutti , Adam Sobey , Timothy J. Norman