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We study risk-sensitive reinforcement learning in finite discounted MDPs, where a generative model of the MDP is assumed to be available. We consider a family or risk measures called the optimized certainty equivalent (OCE), which includes…

Machine Learning · Computer Science 2026-05-22 Oliver Mortensen , Mohammad Sadegh Talebi

In this paper, we consider a multi-attribute decision making problem where the decision maker's (DM's) objective is to maximize the expected utility of outcomes but the true utility function which captures the DM's risk preference is…

Optimization and Control · Mathematics 2023-03-30 Qiong Wu , Sainan Zhang , Wei Wang , Huifu Xu

Reinforcement Learning (RL) has achieved tremendous success in recent years. However, the classical foundations of RL do not account for the risk sensitivity of the objective function, which is critical in various fields, including…

Machine Learning · Computer Science 2025-11-14 Mohammad Alipour-Vaezi , Huaiyang Zhong , Kwok-Leung Tsui , Sajad Khodadadian

Learning-based techniques have become popular in both model predictive control (MPC) and reinforcement learning (RL). Probabilistic ensemble (PE) models offer a promising approach for modelling system dynamics, showcasing the ability to…

Machine Learning · Computer Science 2024-05-07 Yuan Zhang , Jasper Hoffmann , Joschka Boedecker

While deep reinforcement learning (RL) agents have showcased strong results across many domains, a major concern is their inherent opaqueness and the safety of such systems in real-world use cases. To overcome these issues, we need agents…

Machine Learning · Computer Science 2022-10-10 Eugene Bykovets , Yannick Metz , Mennatallah El-Assady , Daniel A. Keim , Joachim M. Buhmann

We study risk-sensitive RL where the goal is learn a history-dependent policy that optimizes some risk measure of cumulative rewards. We consider a family of risks called the optimized certainty equivalents (OCE), which captures important…

Machine Learning · Computer Science 2025-03-03 Kaiwen Wang , Dawen Liang , Nathan Kallus , Wen Sun

Reinforcement learning (RL) is a powerful framework for decision-making in uncertain environments, but it often requires large amounts of data to learn an optimal policy. We address this challenge by incorporating prior model knowledge to…

Machine Learning · Computer Science 2026-01-29 J. S. van Hulst , W. P. M. H. Heemels , D. J. Antunes

This paper studies the risk-averse mean-variance optimization in infinite-horizon discounted Markov decision processes (MDPs). The involved variance metric concerns reward variability during the whole process, and future deviations are…

Optimization and Control · Mathematics 2022-01-19 Shuai Ma , Xiaoteng Ma , Li Xia

In reinforcement learning, we typically refer to unsupervised pre-training when we aim to pre-train a policy without a priori access to the task specification, i.e. rewards, to be later employed for efficient learning of downstream tasks.…

Machine Learning · Computer Science 2025-10-21 Riccardo Zamboni , Mirco Mutti , Marcello Restelli

Markov decision processes (MDPs) are a popular model for performance analysis and optimization of stochastic systems. The parameters of stochastic behavior of MDPs are estimates from empirical observations of a system; their values are not…

Artificial Intelligence · Computer Science 2017-10-26 Dimitri Scheftelowitsch , Peter Buchholz , Vahid Hashemi , Holger Hermanns

There are essentially three kinds of approaches to Uncertainty Quantification (UQ): (A) robust optimization, (B) Bayesian, (C) decision theory. Although (A) is robust, it is unfavorable with respect to accuracy and data assimilation. (B)…

In this paper, we focus on the problem of robustifying reinforcement learning (RL) algorithms with respect to model uncertainties. Indeed, in the framework of model-based RL, we propose to merge the theory of constrained Markov decision…

Machine Learning · Computer Science 2020-10-13 Reazul Hasan Russel , Mouhacine Benosman , Jeroen Van Baar

Deep latent variable models have achieved significant empirical successes in model-based reinforcement learning (RL) due to their expressiveness in modeling complex transition dynamics. On the other hand, it remains unclear theoretically…

Machine Learning · Computer Science 2023-03-08 Tongzheng Ren , Chenjun Xiao , Tianjun Zhang , Na Li , Zhaoran Wang , Sujay Sanghavi , Dale Schuurmans , Bo Dai

Sample efficiency is central to developing practical reinforcement learning (RL) for complex and large-scale decision-making problems. The ability to transfer and generalize knowledge gained from previous experiences to downstream tasks can…

Machine Learning · Computer Science 2024-07-23 Parvin Malekzadeh , Ming Hou , Konstantinos N. Plataniotis

Ensuring the safe exploration of reinforcement learning (RL) agents is critical for deployment in real-world systems. Yet existing approaches struggle to strike the right balance: methods that tightly enforce safety often cripple task…

Machine Learning · Computer Science 2026-02-19 Daniel Bethell , Simos Gerasimou , Radu Calinescu , Calum Imrie

We study offline reinforcement learning (RL) which seeks to learn a good policy based on a fixed, pre-collected dataset. A fundamental challenge behind this task is the distributional shift due to the dataset lacking sufficient exploration,…

Machine Learning · Computer Science 2023-10-11 Wenzhuo Zhou

Model-based reinforcement learning methods learn a dynamics model with real data sampled from the environment and leverage it to generate simulated data to derive an agent. However, due to the potential distribution mismatch between…

Machine Learning · Computer Science 2020-10-29 Jian Shen , Han Zhao , Weinan Zhang , Yong Yu

Robust Reinforcement Learning aims to derive optimal behavior that accounts for model uncertainty in dynamical systems. However, previous studies have shown that by considering the worst case scenario, robust policies can be overly…

Machine Learning · Computer Science 2018-10-25 Esther Derman , Daniel J. Mankowitz , Timothy A. Mann , Shie Mannor

Mainstream approximate action-value iteration reinforcement learning (RL) algorithms suffer from overestimation bias, leading to suboptimal policies in high-variance stochastic environments. Quantile-based action-value iteration methods…

Machine Learning · Computer Science 2025-12-09 Clinton Enwerem , Aniruddh G. Puranic , John S. Baras , Calin Belta

Automated scientific discovery using large language models relies on identifying genuinely novel solutions. Standard reinforcement learning penalizes high-variance mutations, which leads the policy to prioritize familiar patterns. As a…

Machine Learning · Computer Science 2026-05-13 Kainat Riaz , Muhammad Ahmed Mohsin , Ahsan Bilal , Muhammad Umer , Ayesha Mohsin , Aqib Riaz , Ali Subhan , John M. Cioffi
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