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We consider the problem of constructing a least conservative estimator of the expected value $\mu$ of a non-negative heavy-tailed random variable. We require that the probability of overestimating the expected value $\mu$ is kept…

最优化与控制 · 数学 2026-04-21 Bart P. G. van Parys , Bert Zwart

The Kullback-Leibler (KL) divergence is a fundamental equation of information theory that quantifies the proximity of two probability distributions. Although difficult to understand by examining the equation, an intuition and understanding…

信息论 · 计算机科学 2014-04-09 Jonathon Shlens

In recent years, reinforcement learning (RL) systems with general goals beyond a cumulative sum of rewards have gained traction, such as in constrained problems, exploration, and acting upon prior experiences. In this paper, we consider…

机器学习 · 计算机科学 2020-07-07 Junyu Zhang , Alec Koppel , Amrit Singh Bedi , Csaba Szepesvari , Mengdi Wang

The Pinsker inequality lower bounds the Kullback--Leibler divergence $D_{\textrm{KL}}$ in terms of total variation and provides a canonical way to convert $D_{\textrm{KL}}$ control into $\lVert \cdot \rVert_1$-control. Motivated by…

信息论 · 计算机科学 2026-02-06 Guglielmo Beretta , Tommaso Cesari , Roberto Colomboni

Deep reinforcement learning (RL) algorithms can learn complex policies to optimize agent operation over time. RL algorithms have shown promising results in solving complicated problems in recent years. However, their application on…

机器学习 · 计算机科学 2021-09-29 Hamed Khorasgani , Haiyan Wang , Chetan Gupta , Susumu Serita

This paper studies generalized inverse reinforcement learning (GIRL) in Markov decision processes (MDPs), that is, the problem of learning the basic components of an MDP given observed behavior (policy) that might not be optimal. These…

机器学习 · 计算机科学 2024-02-13 Chaosheng Dong , Yijia Wang

We establish the convergence of the unified two-timescale Reinforcement Learning (RL) algorithm presented in a previous work by Angiuli et al. This algorithm provides solutions to Mean Field Game (MFG) or Mean Field Control (MFC) problems…

最优化与控制 · 数学 2024-05-02 Andrea Angiuli , Jean-Pierre Fouque , Mathieu Laurière , Mengrui Zhang

The success of AI assistants based on language models (LLMs) hinges crucially on Reinforcement Learning from Human Feedback (RLHF), which enables the generation of responses more aligned with human preferences. As universal AI assistants,…

机器学习 · 计算机科学 2023-12-27 Rui Zheng , Wei Shen , Yuan Hua , Wenbin Lai , Shihan Dou , Yuhao Zhou , Zhiheng Xi , Xiao Wang , Haoran Huang , Tao Gui , Qi Zhang , Xuanjing Huang

The generalization gap in reinforcement learning (RL) has been a significant obstacle that prevents the RL agent from learning general skills and adapting to varying environments. Increasing the generalization capacity of the RL systems can…

机器学习 · 计算机科学 2021-12-06 Hanping Zhang , Yuhong Guo

Self-play alignment has emerged as an effective approach for fine-tuning large language models (LLMs), formulating preference optimization as a two-player game. However, the regularization with respect to the reference policy, which is…

机器学习 · 计算机科学 2025-07-09 Xiaohang Tang , Sangwoong Yoon , Seongho Son , Huizhuo Yuan , Quanquan Gu , Ilija Bogunovic

Deep Q-Learning (DQL), a family of temporal difference algorithms for control, employs three techniques collectively known as the `deadly triad' in reinforcement learning: bootstrapping, off-policy learning, and function approximation.…

机器学习 · 计算机科学 2019-03-22 Joshua Achiam , Ethan Knight , Pieter Abbeel

Reinforcement learning (RL) problems over general state and action spaces are notoriously challenging. In contrast to the tableau setting, one can not enumerate all the states and then iteratively update the policies for each state. This…

机器学习 · 计算机科学 2026-03-24 Caleb Ju , Guanghui Lan

Recent advancements in reasoning-focused language models such as OpenAI's O1 and DeepSeek-R1 have shown that scaling test-time computation-through chain-of-thought reasoning and iterative exploration-can yield substantial improvements on…

In Reinforcement Learning (RL), the goal of agents is to discover an optimal policy that maximizes the expected cumulative rewards. This objective may also be viewed as finding a policy that optimizes a linear function of its state-action…

机器学习 · 计算机科学 2023-08-30 Navdeep Kumar , Kaixin Wang , Kfir Levy , Shie Mannor

Reinforcement learning (RL) research focuses on general solutions that can be applied across different domains. This results in methods that RL practitioners can use in almost any domain. However, recent studies often lack the engineering…

机器学习 · 计算机科学 2021-07-05 Anssi Kanervisto , Christian Scheller , Yanick Schraner , Ville Hautamäki

Variational Inference (VI) is a popular alternative to asymptotically exact sampling in Bayesian inference. Its main workhorse is optimization over a reverse Kullback-Leibler divergence (RKL), which typically underestimates the tail of the…

Inverse reinforcement learning (IRL) aims to infer rewards from observed behavior, but rewards are not identified from the policy alone: many reward--value pairs can rationalize the same actions. Meaningful reward recovery therefore…

机器学习 · 计算机科学 2026-05-11 Lars van der Laan , Nathan Kallus , Aurelien Bibaut

Transfer learning, or domain adaptation, is concerned with machine learning problems in which training and testing data come from possibly different distributions (denoted as $\mu$ and $\mu'$, respectively). In this work, we give an…

机器学习 · 计算机科学 2020-05-20 Xuetong Wu , Jonathan H. Manton , Uwe Aickelin , Jingge Zhu

In real-world decision optimization, often multiple competing objectives must be taken into account. Following classical reinforcement learning, these objectives have to be combined into a single reward function. In contrast,…

机器学习 · 计算机科学 2022-04-12 Johannes Dornheim

The application of rule-based reinforcement learning (RL) to multimodal large language models (MLLMs) introduces unique challenges and potential deviations from findings in text-only domains, particularly for perception-heavy tasks. This…

计算机视觉与模式识别 · 计算机科学 2025-10-14 Zifu Wang , Junyi Zhu , Bo Tang , Zhiyu Li , Feiyu Xiong , Jiaqian Yu , Matthew B. Blaschko