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In real-world decision-making problems, for instance in the fields of finance, robotics or autonomous driving, keeping uncertainty under control is as important as maximizing expected returns. Risk aversion has been addressed in the…

机器学习 · 计算机科学 2019-12-09 Lorenzo Bisi , Luca Sabbioni , Edoardo Vittori , Matteo Papini , Marcello Restelli

Existing work on risk-sensitive reinforcement learning - both for symmetric and downside risk measures - has typically used direct Monte-Carlo estimation of policy gradients. While this approach yields unbiased gradient estimates, it also…

机器学习 · 计算机科学 2020-07-09 Thomas Spooner , Rahul Savani

Robust Markov decision processes (MDPs) aim to handle changing or partially known system dynamics. To solve them, one typically resorts to robust optimization methods. However, this significantly increases computational complexity and…

机器学习 · 计算机科学 2021-10-14 Esther Derman , Matthieu Geist , Shie Mannor

While reinforcement learning algorithms provide automated acquisition of optimal policies, practical application of such methods requires a number of design decisions, such as manually designing reward functions that not only define the…

机器学习 · 计算机科学 2022-12-29 Tim G. J. Rudner , Vitchyr H. Pong , Rowan McAllister , Yarin Gal , Sergey Levine

Model-based reinforcement learning algorithms with probabilistic dynamical models are amongst the most data-efficient learning methods. This is often attributed to their ability to distinguish between epistemic and aleatoric uncertainty.…

机器学习 · 计算机科学 2020-12-02 Sebastian Curi , Felix Berkenkamp , Andreas Krause

Robust Markov decision processes (MDPs) aim to handle changing or partially known system dynamics. To solve them, one typically resorts to robust optimization methods. However, this significantly increases computational complexity and…

机器学习 · 计算机科学 2023-03-14 Esther Derman , Yevgeniy Men , Matthieu Geist , Shie Mannor

In Offline Model Learning for Planning and in Offline Reinforcement Learning, the limited data set hinders the estimate of the Value function of the relative Markov Decision Process (MDP). Consequently, the performance of the obtained…

机器学习 · 计算机科学 2026-05-26 Giorgio Angelotti , Nicolas Drougard , Caroline Ponzoni Carvalho Chanel

Accounting for model uncertainty in risk management and option pricing leads to infinite dimensional optimization problems which are both analytically and numerically intractable. In this article we study when this hurdle can be overcome…

风险管理 · 定量金融 2020-01-16 Daniel Bartl , Samuel Drapeau , Ludovic Tangpi

Reliable uncertainty quantification (UQ) is essential for developing machine-learned interatomic potentials (MLIPs) in predictive atomistic simulations. Conformal prediction (CP) is a statistical framework that constructs prediction…

化学物理 · 物理学 2025-10-02 Cheuk Hin Ho , Christoph Ortner , Yangshuai Wang

We introduce a novel extension to robust control theory that explicitly addresses uncertainty in the value function's gradient, a form of uncertainty endemic to applications like reinforcement learning where value functions are…

机器学习 · 计算机科学 2025-07-22 Qian Qi

We consider challenging dynamic programming models where the associated Bellman equation, and the value and policy iteration algorithms commonly exhibit complex and even pathological behavior. Our analysis is based on the new notion of…

最优化与控制 · 数学 2016-09-13 Dimitri P. Bertsekas

We study the problem of off-policy evaluation (OPE) in Reinforcement Learning (RL), where the aim is to estimate the performance of a new policy given historical data that may have been generated by a different policy, or policies. In…

机器学习 · 计算机科学 2019-12-16 Aurélien F. Bibaut , Ivana Malenica , Nikos Vlassis , Mark J. van der Laan

Inverse problems aim to determine model parameters of a mathematical problem from given observational data. Neural networks can provide an efficient tool to solve these problems. In the context of Bayesian inverse problems, Uncertainty…

数值分析 · 数学 2025-09-16 Andrea Tonini , Tan Bui-Thanh , Francesco Regazzoni , Luca Dede' , Alfio Quarteroni

In this work, we address risk-averse Bayes-adaptive reinforcement learning. We pose the problem of optimising the conditional value at risk (CVaR) of the total return in Bayes-adaptive Markov decision processes (MDPs). We show that a policy…

机器学习 · 计算机科学 2021-10-27 Marc Rigter , Bruno Lacerda , Nick Hawes

Language models can learn a range of capabilities from unsupervised training on text corpora. However, to solve a particular problem (such as text summarization) it is typically necessary to fine-tune them on a task-specific dataset. It is…

计算与语言 · 计算机科学 2022-03-16 Adam Gleave , Geoffrey Irving

We propose a general framework for entropy-regularized average-reward reinforcement learning in Markov decision processes (MDPs). Our approach is based on extending the linear-programming formulation of policy optimization in MDPs to…

机器学习 · 计算机科学 2017-05-23 Gergely Neu , Anders Jonsson , Vicenç Gómez

The explore{exploit dilemma is one of the central challenges in Reinforcement Learning (RL). Bayesian RL solves the dilemma by providing the agent with information in the form of a prior distribution over environments; however, full…

机器学习 · 计算机科学 2012-03-19 Jonathan Sorg , Satinder Singh , Richard L. Lewis

In many contemporary applications such as healthcare, finance, robotics, and recommendation systems, continuous deployment of new policies for data collection and online learning is either cost ineffective or impractical. We consider a…

机器学习 · 计算机科学 2021-06-07 DiJia Su , Jason D. Lee , John M. Mulvey , H. Vincent Poor

The multidimensional Uncertain Volatility Model leads to robust option pricing problems under joint volatility and correlation uncertainty. Their numerical resolution quickly becomes challenging because the associated stochastic control…

This paper proposes a learning algorithm to find a scheduling policy that achieves an optimal delay-power trade-off in communication systems. Reinforcement learning (RL) is used to minimize the expected latency for a given energy constraint…

系统与控制 · 电气工程与系统科学 2020-06-11 Yu Zhao , Joohyun Lee , Wei Chen