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Reinforcement learning (RL) with linear function approximation has received increasing attention recently. However, existing work has focused on obtaining $\sqrt{T}$-type regret bound, where $T$ is the number of interactions with the MDP.…

机器学习 · 计算机科学 2021-02-19 Jiafan He , Dongruo Zhou , Quanquan Gu

Low-complexity models such as linear function representation play a pivotal role in enabling sample-efficient reinforcement learning (RL). The current paper pertains to a scenario with value-based linear representation, which postulates the…

机器学习 · 计算机科学 2021-10-19 Gen Li , Yuxin Chen , Yuejie Chi , Yuantao Gu , Yuting Wei

The standard paradigm of neural language generation adopts maximum likelihood estimation (MLE) as the optimizing method. From a distributional view, MLE in fact minimizes the Kullback-Leibler divergence (KLD) between the distribution of the…

计算与语言 · 计算机科学 2023-02-28 Haozhe Ji , Pei Ke , Zhipeng Hu , Rongsheng Zhang , Minlie Huang

Generative models, particularly diffusion models, have achieved remarkable success in density estimation for multimodal data, drawing significant interest from the reinforcement learning (RL) community, especially in policy modeling in…

机器学习 · 计算机科学 2024-12-03 Jinouwen Zhang , Rongkun Xue , Yazhe Niu , Yun Chen , Jing Yang , Hongsheng Li , Yu Liu

We present the first model-free Reinforcement Learning (RL) algorithm to synthesise policies for an unknown Markov Decision Process (MDP), such that a linear time property is satisfied. The given temporal property is converted into a Limit…

机器学习 · 计算机科学 2019-02-19 Mohammadhosein Hasanbeig , Alessandro Abate , Daniel Kroening

Imitation learning (IL) algorithms use expert demonstrations to learn a specific task. Most of the existing approaches assume that all expert demonstrations are reliable and trustworthy, but what if there exist some adversarial…

机器学习 · 计算机科学 2021-01-06 Mostafa Hussein , Brendan Crowe , Marek Petrik , Momotaz Begum

Reward-free exploration is a reinforcement learning setting studied by Jin et al. (2020), who address it by running several algorithms with regret guarantees in parallel. In our work, we instead give a more natural adaptive approach for…

Reinforcement Learning with Verifiable Rewards (RLVR), which uses simple binary feedback to post-train large language models, has found significant empirical success. However, a principled understanding of why it works is lacking. This…

机器学习 · 计算机科学 2026-05-08 Joe Suk , Yaqi Duan

We study model-free reinforcement learning (RL) algorithms in episodic non-stationary constrained Markov Decision Processes (CMDPs), in which an agent aims to maximize the expected cumulative reward subject to a cumulative constraint on the…

机器学习 · 计算机科学 2023-03-13 Honghao Wei , Arnob Ghosh , Ness Shroff , Lei Ying , Xingyu Zhou

Correctness-based Reinforcement Learning with Verifiable Rewards (RLVR) trains language models from binary feedback on sampled outputs, but the objective optimized in expectation and the stochastic update geometry induced by finite rollout…

机器学习 · 计算机科学 2026-05-29 Yifu Zheng

Inverse reinforcement learning (IRL) is the task of finding a reward function that generates a desired optimal policy for a given Markov Decision Process (MDP). This paper develops an information-theoretic lower bound for the sample…

机器学习 · 计算机科学 2021-07-07 Abi Komanduru , Jean Honorio

Variational inference consists in finding the best approximation of a target distribution within a certain family, where `best' means (typically) smallest Kullback-Leiber divergence. We show that, when the approximation family is…

统计计算 · 统计学 2025-09-24 Yvann Le Fay , Nicolas Chopin , Simon Barthelmé

We consider the fundamental problem of estimating a discrete distribution on a domain of size $K$ with high probability in Kullback-Leibler divergence. We provide upper and lower bounds on the minimax estimation rate, which show that the…

机器学习 · 统计学 2026-02-23 Dirk van der Hoeven , Julia Olkhovskaia , Tim van Erven

Reinforcement Learning with Verifiable Rewards (RLVR) has recently emerged as a powerful paradigm for facilitating the self-improvement of large language models (LLMs), particularly in the domain of complex reasoning tasks. However,…

机器学习 · 计算机科学 2025-07-17 Ziru Liu , Cheng Gong , Xinyu Fu , Yaofang Liu , Ran Chen , Shoubo Hu , Suiyun Zhang , Rui Liu , Qingfu Zhang , Dandan Tu

Kullback-Leibler divergence (KL) regularization is widely used in reinforcement learning, but it becomes infinite under support mismatch and can degenerate in low-noise limits. Utilizing a unified information-geometric framework, we…

最优化与控制 · 数学 2026-02-03 Viktor Stein , Adwait Datar , Nihat Ay

Safety is a fundamental challenge in reinforcement learning (RL), particularly in real-world applications such as autonomous driving, robotics, and healthcare. To address this, Constrained Markov Decision Processes (CMDPs) are commonly used…

机器学习 · 计算机科学 2026-02-18 Chang Liu , Yunfan Li , Lin F. Yang

We investigate reinforcement learning (RL) in the presence of distributional mismatch between training and deployment, where policies trained in simulators often underperform in practice due to mismatches between training and deployment…

机器学习 · 计算机科学 2025-11-12 Debamita Ghosh , George K. Atia , Yue Wang

The applicability of reinforcement learning (RL) algorithms in real-world domains often requires adherence to safety constraints, a need difficult to address given the asymptotic nature of the classic RL optimization objective. In contrast…

机器学习 · 计算机科学 2021-04-15 Moritz A. Zanger , Karam Daaboul , J. Marius Zöllner

In this paper, we study nonparametric estimation of instrumental variable (IV) regressions. While recent advancements in machine learning have introduced flexible methods for IV estimation, they often encounter one or more of the following…

机器学习 · 计算机科学 2024-03-08 Zihao Li , Hui Lan , Vasilis Syrgkanis , Mengdi Wang , Masatoshi Uehara

Multi-distribution learning (MDL), which seeks to learn a shared model that minimizes the worst-case risk across $k$ distinct data distributions, has emerged as a unified framework in response to the evolving demand for robustness,…

机器学习 · 计算机科学 2025-08-12 Zihan Zhang , Wenhao Zhan , Yuxin Chen , Simon S. Du , Jason D. Lee