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Open AccessJournal ArticleDOI

A survey of multi-objective sequential decision-making

TLDR
This article surveys algorithms designed for sequential decision-making problems with multiple objectives and proposes a taxonomy that classifies multi-objective methods according to the applicable scenario, the nature of the scalarization function, and the type of policies considered.
Abstract
Sequential decision-making problems with multiple objectives arise naturally in practice and pose unique challenges for research in decision-theoretic planning and learning, which has largely focused on single-objective settings. This article surveys algorithms designed for sequential decision-making problems with multiple objectives. Though there is a growing body of literature on this subject, little of it makes explicit under what circumstances special methods are needed to solve multi-objective problems. Therefore, we identify three distinct scenarios in which converting such a problem to a single-objective one is impossible, infeasible, or undesirable. Furthermore, we propose a taxonomy that classifies multi-objective methods according to the applicable scenario, the nature of the scalarization function (which projects multi-objective values to scalar ones), and the type of policies considered. We show how these factors determine the nature of an optimal solution, which can be a single policy, a convex hull, or a Pareto front. Using this taxonomy, we survey the literature on multi-objective methods for planning and learning. Finally, we discuss key applications of such methods and outline opportunities for future work.

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DissertationDOI

Data-driven decision-making and its application to the corporate cash management problem

TL;DR: In this article, a multi-objective approach is proposed to solve the multiple bank accounts cash management problem. But the authors focus on both the cost and risk of the decision-making process.
Posted Content

Convex Hull Monte-Carlo Tree Search

TL;DR: This work considers how to pose the problem of approximating multiobjective planning solutions as a contextual multi-armed bandits problem, giving a principled motivation for how to select actions from the view of contextual regret, leading to the use of Contextual Zooming for action selection, yielding Zooming CHMCTS.
Book ChapterDOI

A Multi-objective Reinforcement Learning Algorithm for JSSP

TL;DR: A Multi-Objective Multi-Agent Reinforcement Learning Algorithm that aims to obtain the non-dominated solutions set for Job Shop scheduling problems and is evaluated and compared to other algorithms from the literature using two measures for evaluating the Pareto front.
Journal ArticleDOI

Learning and decision-making in artificial animals

TL;DR: The animat framework enables a uniform and gradual approach to AGI, by successively taking on more challenging problems in the form of broader and more complex classes of environments.
Posted Content

No-regret Algorithms for Multi-task Bayesian Optimization

TL;DR: This work addresses the problem of inter-task dependencies using a multi-task kernel and develops two novel BO algorithms based on random scalarizations of the objectives that belong to the upper confidence bound class of algorithms.
References
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Book

Dynamic Programming

TL;DR: The more the authors study the information processing aspects of the mind, the more perplexed and impressed they become, and it will be a very long time before they understand these processes sufficiently to reproduce them.
Book

Markov Decision Processes: Discrete Stochastic Dynamic Programming

TL;DR: Puterman as discussed by the authors provides a uniquely up-to-date, unified, and rigorous treatment of the theoretical, computational, and applied research on Markov decision process models, focusing primarily on infinite horizon discrete time models and models with discrete time spaces while also examining models with arbitrary state spaces, finite horizon models, and continuous time discrete state models.
Book

Introduction to Reinforcement Learning

TL;DR: In Reinforcement Learning, Richard Sutton and Andrew Barto provide a clear and simple account of the key ideas and algorithms of reinforcement learning.
Book

Evolutionary algorithms for solving multi-objective problems

TL;DR: This paper presents a meta-anatomy of the multi-Criteria Decision Making process, which aims to provide a scaffolding for the future development of multi-criteria decision-making systems.
Proceedings Article

Policy Gradient Methods for Reinforcement Learning with Function Approximation

TL;DR: This paper proves for the first time that a version of policy iteration with arbitrary differentiable function approximation is convergent to a locally optimal policy.
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