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In online learning, the data is provided in a sequential order, and the goal of the learner is to make online decisions to minimize overall regrets. This note is concerned with continuous-time models and algorithms for several online…

机器学习 · 统计学 2024-05-20 Lexing Ying

We consider a fair resource allocation problem in the no-regret setting against an unrestricted adversary. The objective is to allocate resources equitably among several agents in an online fashion so that the difference of the aggregate…

机器学习 · 计算机科学 2023-03-14 Abhishek Sinha , Ativ Joshi , Rajarshi Bhattacharjee , Cameron Musco , Mohammad Hajiesmaili

We give an oracle-based algorithm for the adversarial contextual bandit problem, where either contexts are drawn i.i.d. or the sequence of contexts is known a priori, but where the losses are picked adversarially. Our algorithm is…

机器学习 · 计算机科学 2016-06-02 Vasilis Syrgkanis , Haipeng Luo , Akshay Krishnamurthy , Robert E. Schapire

We are interested in probabilistic prediction in online settings in which data does not follow a probability distribution. Our work seeks to achieve two goals: (1) producing valid probabilities that accurately reflect model confidence; and…

机器学习 · 计算机科学 2024-06-06 Shachi Deshpande , Charles Marx , Volodymyr Kuleshov

We consider the problem of Imitation Learning (IL) by actively querying noisy expert for feedback. While imitation learning has been empirically successful, much of prior work assumes access to noiseless expert feedback which is not…

机器学习 · 计算机科学 2023-07-12 Ayush Sekhari , Karthik Sridharan , Wen Sun , Runzhe Wu

Recently, several universal methods have been proposed for online convex optimization which can handle convex, strongly convex and exponentially concave cost functions simultaneously. However, most of these algorithms have been designed…

机器学习 · 计算机科学 2023-02-14 Arnold Salas

Online learning and model reference adaptive control have many interesting intersections. One area where they differ however is in how the algorithms are analyzed and what objective or metric is used to discriminate "good" algorithms from…

系统与控制 · 电气工程与系统科学 2025-01-24 Travis E. Gibson , Sawal Acharya

We consider the problem of minimizing regret in an $N$ agent heterogeneous stochastic linear bandits framework, where the agents (users) are similar but not all identical. We model user heterogeneity using two popularly used ideas in…

机器学习 · 统计学 2022-02-04 Avishek Ghosh , Abishek Sankararaman , Kannan Ramchandran

We consider the online convex optimization problem. In the setting of arbitrary sequences and finite set of parameters, we establish a new fast-rate quantile regret bound. Then we investigate the optimization into the L1-ball by…

统计理论 · 数学 2018-05-24 Pierre Gaillard , Olivier Wintenberger

We study the regret of reinforcement learning from offline data generated by a fixed behavior policy in an infinite-horizon discounted Markov decision process (MDP). While existing analyses of common approaches, such as fitted $Q$-iteration…

机器学习 · 计算机科学 2023-07-13 Yichun Hu , Nathan Kallus , Masatoshi Uehara

We introduce a new algorithm for online linear-quadratic control in a known system subject to adversarial disturbances. Existing regret bounds for this setting scale as $\sqrt{T}$ unless strong stochastic assumptions are imposed on the…

机器学习 · 计算机科学 2020-06-24 Dylan J. Foster , Max Simchowitz

We study optimal regret bounds for control in linear dynamical systems under adversarially changing strongly convex cost functions, given the knowledge of transition dynamics. This includes several well studied and fundamental frameworks…

机器学习 · 计算机科学 2019-09-12 Naman Agarwal , Elad Hazan , Karan Singh

Agnostic online learning is classically solved via a reduction to the realizable setting, utilizing Littlestone's Standard Optimal Algorithm (SOA) as a base learner. However, the SOA is computationally intractable to execute even for a…

机器学习 · 计算机科学 2026-05-11 Idan Attias , Steve Hanneke , Arvind Ramaswami

We consider an online model for recommendation systems, with each user being recommended an item at each time-step and providing 'like' or 'dislike' feedback. Each user may be recommended a given item at most once. A latent variable model…

机器学习 · 统计学 2019-05-08 Guy Bresler , Mina Karzand

In this paper, we consider the problem of distributed online convex optimization, where a group of agents collaborate to track the global minimizers of a sum of time-varying objective functions in an online manner. Specifically, we propose…

最优化与控制 · 数学 2020-10-14 Yan Zhang , Robert J. Ravier , Vahid Tarokh , Michael M. Zavlanos

Large tensor learning algorithms are typically computationally expensive and require storing a vast amount of data. In this paper, we propose a unified online Riemannian gradient descent (oRGrad) algorithm for tensor learning, which is…

机器学习 · 统计学 2024-10-23 Jingyang Li , Jian-Feng Cai , Yang Chen , Dong Xia

Prediction with experts' advice is one of the most fundamental problems in online learning and captures many of its technical challenges. A recent line of work has looked at online learning through the lens of differential equations and…

机器学习 · 计算机科学 2022-10-04 Victor Sanches Portella , Christopher Liaw , Nicholas J. A. Harvey

We study online decision making problems under resource constraints, where both reward and cost functions are drawn from distributions that may change adversarially over time. We focus on two canonical settings: $(i)$ online resource…

Consider the classical problem of predicting the next bit in a sequence of bits. A standard performance measure is {\em regret} (loss in payoff) with respect to a set of experts. For example if we measure performance with respect to two…

机器学习 · 计算机科学 2013-04-30 Rina Panigrahy , Preyas Popat

Recent literature has made much progress in understanding \emph{online LQR}: a modern learning-theoretic take on the classical control problem in which a learner attempts to optimally control an unknown linear dynamical system with fully…

机器学习 · 计算机科学 2020-10-06 Max Simchowitz