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In this paper, we study the distributed generalized Nash equilibrium seeking problem of non-cooperative games in dynamic environments. Each player in the game aims to minimize its own time-varying cost function subject to a local action…

最优化与控制 · 数学 2020-04-02 Kaihong Lu , Guangqi Li , Long Wang

Aligning large language models (LLMs) with human preferences has proven effective for enhancing model capabilities, yet standard preference modeling using the Bradley-Terry model assumes transitivity, overlooking the inherent complexity of…

机器学习 · 计算机科学 2026-01-05 Shulun Chen , Runlong Zhou , Zihan Zhang , Maryam Fazel , Simon S. Du

Cascading bandit (CB) is a popular model for web search and online advertising, where an agent aims to learn the $K$ most attractive items out of a ground set of size $L$ during the interaction with a user. However, the stationary CB model…

机器学习 · 计算机科学 2020-02-18 Lingda Wang , Huozhi Zhou , Bingcong Li , Lav R. Varshney , Zhizhen Zhao

The reduced basis method (RBM) empowers repeated and rapid evaluation of parametrized partial differential equations through an offline-online decomposition, a.k.a. a learning-execution process. A key feature of the method is a greedy…

数值分析 · 数学 2020-09-16 Jiahua Jiang , Yanlai Chen

We consider a natural model of online preference aggregation, where sets of preferred items $R_1, R_2, \ldots, R_t$ along with a demand for $k_t$ items in each $R_t$, appear online. Without prior knowledge of $(R_t, k_t)$, the learner…

机器学习 · 计算机科学 2020-11-06 Dimitris Fotakis , Thanasis Lianeas , Georgios Piliouras , Stratis Skoulakis

We consider the general problem of online convex optimization with time-varying additive constraints in the presence of predictions for the next cost and constraint functions. A novel primal-dual algorithm is designed by combining a…

机器学习 · 计算机科学 2022-01-11 Daron Anderson , George Iosifidis , Douglas J. Leith

In this paper, we consider unregularized online learning algorithms in a Reproducing Kernel Hilbert Spaces (RKHS). Firstly, we derive explicit convergence rates of the unregularized online learning algorithms for classification associated…

机器学习 · 计算机科学 2015-04-28 Yiming Ying , Ding-Xuan Zhou

Most of the existing works for reinforcement learning (RL) with general function approximation (FA) focus on understanding the statistical complexity or regret bounds. However, the computation complexity of such approaches is far from being…

机器学习 · 计算机科学 2023-04-19 Dingwen Kong , Ruslan Salakhutdinov , Ruosong Wang , Lin F. Yang

Reinforcement Learning with Human Feedback (RLHF) is at the core of fine-tuning methods for generative AI models for language and images. Such feedback is often sought as rank or preference feedback from human raters, as opposed to…

机器学习 · 计算机科学 2025-05-19 Akhil Agnihotri , Rahul Jain , Deepak Ramachandran , Zheng Wen

We consider the problem of online learning in Linear Quadratic Control systems whose state transition and state-action transition matrices $A$ and $B$ may be initially unknown. We devise an online learning algorithm and provide guarantees…

机器学习 · 计算机科学 2021-09-30 Yassir Jedra , Alexandre Proutiere

We describe a primal-dual framework for the design and analysis of online convex optimization algorithms for {\em drifting regret}. Existing literature shows (nearly) optimal drifting regret bounds only for the $\ell_2$ and the…

机器学习 · 计算机科学 2013-09-24 Suman K Bera , Anamitra R Choudhury , Syamantak Das , Sambuddha Roy , Jayram S. Thatchachar

This study considers online learning with general directed feedback graphs. For this problem, we present best-of-both-worlds algorithms that achieve nearly tight regret bounds for adversarial environments as well as poly-logarithmic regret…

机器学习 · 计算机科学 2022-12-29 Shinji Ito , Taira Tsuchiya , Junya Honda

A central problem in the theory of empirical Bayes is to control the regret (excess risk) of a learned Bayes rule by the Hellinger distance between the estimated and true marginal densities. In the normal means model, the classical result…

统计理论 · 数学 2026-05-05 Jiafeng Chen , Yihong Wu

In this paper, we propose an online convex optimization approach with two different levels of adaptivity. On a higher level, our approach is agnostic to the unknown types and curvatures of the online functions, while at a lower level, it…

机器学习 · 计算机科学 2024-04-17 Yu-Hu Yan , Peng Zhao , Zhi-Hua Zhou

We present a new framework for deriving bounds on the generalization bound of statistical learning algorithms from the perspective of online learning. Specifically, we construct an online learning game called the "generalization game",…

机器学习 · 统计学 2024-10-18 Gábor Lugosi , Gergely Neu

We present the first algorithms for generalized linear contextual bandits under shuffle differential privacy and joint differential privacy. While prior work on private contextual bandits has been restricted to linear reward models -- which…

机器学习 · 统计学 2026-04-28 Sahasrajit Sarmasarkar

Online strategic classification studies settings in which agents strategically modify their features to obtain favorable predictions. For example, given a classifier that determines loan approval based on credit scores, applicants may open…

机器学习 · 计算机科学 2026-02-09 Chase Hutton , Adam Melrod , Han Shao

Reinforcement Learning from Human Feedback (RLHF) is currently the leading approach for aligning large language models with human preferences. Typically, these models rely on extensive offline preference datasets for training. However,…

机器学习 · 计算机科学 2024-12-17 Avinandan Bose , Zhihan Xiong , Aadirupa Saha , Simon Shaolei Du , Maryam Fazel

In this paper we propose a framework for solving constrained online convex optimization problem. Our motivation stems from the observation that most algorithms proposed for online convex optimization require a projection onto the convex set…

机器学习 · 计算机科学 2012-10-01 Mehrdad Mahdavi , Rong Jin , Tianbao Yang

We consider the online sparse linear regression problem, which is the problem of sequentially making predictions observing only a limited number of features in each round, to minimize regret with respect to the best sparse linear regressor,…

机器学习 · 计算机科学 2016-03-08 Dean Foster , Satyen Kale , Howard Karloff