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Although stochastic models driven by latent Markov processes are widely used, the classical importance sampling methods based on the exponential tilting for these models suffers from the difficulties in computing the eigenvalues and…

统计计算 · 统计学 2025-10-14 Cheng-Der Fuh , Yanwei Jia , Steven Kou

Safety in reinforcement learning has become increasingly important in recent years. Yet, existing solutions either fail to strictly avoid choosing unsafe actions, which may lead to catastrophic results in safety-critical systems, or fail to…

机器学习 · 计算机科学 2021-06-14 Sanae Amani , Christos Thrampoulidis , Lin F. Yang

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…

机器学习 · 计算机科学 2023-03-08 Tongzheng Ren , Chenjun Xiao , Tianjun Zhang , Na Li , Zhaoran Wang , Sujay Sanghavi , Dale Schuurmans , Bo Dai

We propose a reinforcement learning (RL) framework under a broad class of risk objectives, characterized by convex scoring functions. This class covers many common risk measures, such as variance, Expected Shortfall, entropic Value-at-Risk,…

数理金融 · 定量金融 2025-05-16 Shanyu Han , Yang Liu , Xiang Yu

We introduce a distributional method for learning the optimal policy in risk averse Markov decision process with finite state action spaces, latent costs, and stationary dynamics. We assume sequential observations of states, actions, and…

机器学习 · 计算机科学 2023-03-01 Ziteng Cheng , Sebastian Jaimungal , Nick Martin

Reinforcement learning algorithms typically necessitate extensive exploration of the state space to find optimal policies. However, in safety-critical applications, the risks associated with such exploration can lead to catastrophic…

机器学习 · 计算机科学 2025-02-28 Kaustubh Mani , Vincent Mai , Charlie Gauthier , Annie Chen , Samer Nashed , Liam Paull

We propose policy gradient algorithms for solving a risk-sensitive reinforcement learning (RL) problem in on-policy as well as off-policy settings. We consider episodic Markov decision processes, and model the risk using the broad class of…

机器学习 · 计算机科学 2024-06-25 Nithia Vijayan , Prashanth L. A

Markov decision processes (MDPs) are used to model a wide variety of applications ranging from game playing over robotics to finance. Their optimal policy typically maximizes the expected sum of rewards given at each step of the decision…

机器学习 · 计算机科学 2025-05-26 Maximilian Nägele , Jan Olle , Thomas Fösel , Remmy Zen , Florian Marquardt

This paper investigates estimating the variance of a temporal-difference learning agent's update target. Most reinforcement learning methods use an estimate of the value function, which captures how good it is for the agent to be in a…

人工智能 · 计算机科学 2018-02-15 Craig Sherstan , Brendan Bennett , Kenny Young , Dylan R. Ashley , Adam White , Martha White , Richard S. Sutton

Interval Markov decision processes are a class of Markov models where the transition probabilities between the states belong to intervals. In this paper, we study the problem of efficient estimation of the optimal policies in Interval…

系统与控制 · 电气工程与系统科学 2023-09-19 Saber Jafarpour , Samuel Coogan

Risk-sensitive reinforcement learning (RL) has garnered significant attention in recent years due to the growing interest in deploying RL agents in real-world scenarios. A critical aspect of risk awareness involves modeling highly rare risk…

机器学习 · 计算机科学 2023-08-30 Karthik Somayaji NS , Yu Wang , Malachi Schram , Jan Drgona , Mahantesh Halappanavar , Frank Liu , Peng Li

In this paper, we consider the state estimation problem for nonlinear stochastic discrete-time systems. We combine Lyapunov's method in control theory and deep reinforcement learning to design the state estimator. We theoretically prove the…

机器学习 · 计算机科学 2021-01-08 Liang Hu , Chengwei Wu , Wei Pan

Safe reinforcement learning has been a promising approach for optimizing the policy of an agent that operates in safety-critical applications. In this paper, we propose an algorithm, SNO-MDP, that explores and optimizes Markov decision…

机器学习 · 计算机科学 2020-08-18 Akifumi Wachi , Yanan Sui

Markov Decision Process (MDP) presents a mathematical framework to formulate the learning processes of agents in reinforcement learning. MDP is limited by the Markovian assumption that a reward only depends on the immediate state and…

机器学习 · 计算机科学 2024-06-04 Bohao Qu , Xiaofeng Cao , Jielong Yang , Hechang Chen , Chang Yi , Ivor W. Tsang , Yew-Soon Ong

We introduce a novel approach to hierarchical reinforcement learning for Linearly-solvable Markov Decision Processes (LMDPs) in the infinite-horizon average-reward setting. Unlike previous work, our approach allows learning low-level and…

机器学习 · 计算机科学 2024-07-10 Guillermo Infante , Anders Jonsson , Vicenç Gómez

We consider continuous time Markovian processes where populations of individual agents interact stochastically according to kinetic rules. Despite the increasing prominence of such models in fields ranging from biology to smart cities,…

机器学习 · 统计学 2016-05-16 Anastasis Georgoulas , Jane Hillston , Guido Sanguinetti

We study episodic reinforcement learning in Markov decision processes when the agent receives additional feedback per step in the form of several transition observations. Such additional observations are available in a range of tasks…

机器学习 · 计算机科学 2020-05-11 Christoph Dann , Yishay Mansour , Mehryar Mohri , Ayush Sekhari , Karthik Sridharan

We consider a piecewise deterministic Markov decision process, where the expected exponential utility of total (nonnegative) cost is to be minimized. The cost rate, transition rate and post-jump distributions are under control. The state…

最优化与控制 · 数学 2017-11-22 Xin Guo , Yi Zhang

Law-invariant functionals are central to risk management and assign identical values to random prospects sharing the same distribution under an atomless reference probability measure. This measure is typically assumed fixed. Here, we adopt…

风险管理 · 定量金融 2026-02-10 Felix-Benedikt Liebrich , Ruodu Wang

Learning a Markov Decision Process (MDP) from a fixed batch of trajectories is a non-trivial task whose outcome's quality depends on both the amount and the diversity of the sampled regions of the state-action space. Yet, many MDPs are…

机器学习 · 计算机科学 2022-03-08 Giorgio Angelotti , Nicolas Drougard , Caroline P. C. Chanel