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The safe linear bandit problem is a version of the classical stochastic linear bandit problem where the learner's actions must satisfy an uncertain constraint at all rounds. Due its applicability to many real-world settings, this problem…

机器学习 · 计算机科学 2024-03-13 Spencer Hutchinson , Berkay Turan , Mahnoosh Alizadeh

Motivated by the stringent safety requirements that are often present in real-world applications, we study a safe online convex optimization setting where the player needs to simultaneously achieve sublinear regret and zero constraint…

机器学习 · 计算机科学 2024-07-17 Spencer Hutchinson , Mahnoosh Alizadeh

We consider the problem of online control of systems with time-varying linear dynamics. This is a general formulation that is motivated by the use of local linearization in control of nonlinear dynamical systems. To state meaningful…

机器学习 · 计算机科学 2022-02-15 Paula Gradu , Elad Hazan , Edgar Minasyan

We study online learning in constrained Markov decision processes (CMDPs) in which rewards and constraints may be either stochastic or adversarial. In such settings, Stradi et al.(2024) proposed the first best-of-both-worlds algorithm able…

机器学习 · 计算机科学 2025-02-10 Francesco Emanuele Stradi , Anna Lunghi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

In performative prediction, the deployment of a predictive model triggers a shift in the data distribution. As these shifts are typically unknown ahead of time, the learner needs to deploy a model to get feedback about the distribution it…

机器学习 · 计算机科学 2022-07-19 Meena Jagadeesan , Tijana Zrnic , Celestine Mendler-Dünner

In this work, we study the online convex optimization problem with curved losses and delayed feedback. When losses are strongly convex, existing approaches obtain regret bounds of order $d_{\max} \ln T$, where $d_{\max}$ is the maximum…

机器学习 · 计算机科学 2025-06-10 Hao Qiu , Emmanuel Esposito , Mengxiao Zhang

In this paper, we consider the problem of distributed online convex optimization, where a network of local agents aim to jointly optimize a convex function over a period of multiple time steps. The agents do not have any information about…

最优化与控制 · 数学 2019-11-13 Yan Zhang , Robert J. Ravier , Michael M. Zavlanos , Vahid Tarokh

In this paper we consider the problem of online stochastic optimization of a locally smooth function under bandit feedback. We introduce the high-confidence tree (HCT) algorithm, a novel any-time $\mathcal{X}$-armed bandit algorithm, and…

机器学习 · 统计学 2014-05-20 Mohammad Gheshlaghi Azar , Alessandro Lazaric , Emma Brunskill

We consider the classic online learning and stochastic multi-armed bandit (MAB) problems, when at each step, the online policy can probe and find out which of a small number ($k$) of choices has better reward (or loss) before making its…

数据结构与算法 · 计算机科学 2022-11-08 Aditya Bhaskara , Sreenivas Gollapudi , Sungjin Im , Kostas Kollias , Kamesh Munagala

We study linear contextual bandits with access to a large, confounded, offline dataset that was sampled from some fixed policy. We show that this problem is closely related to a variant of the bandit problem with side information. We…

机器学习 · 计算机科学 2021-08-11 Guy Tennenholtz , Uri Shalit , Shie Mannor , Yonathan Efroni

This paper deals with bandit online learning problems involving feedback of unknown delay that can emerge in multi-armed bandit (MAB) and bandit convex optimization (BCO) settings. MAB and BCO require only values of the objective function…

机器学习 · 计算机科学 2019-05-29 Bingcong Li , Tianyi Chen , Georgios B. Giannakis

In many sequential decision making applications, the change of decision would bring an additional cost, such as the wear-and-tear cost associated with changing server status. To control the switching cost, we introduce the problem of online…

机器学习 · 计算机科学 2021-03-23 Guanghui Wang , Yuanyu Wan , Tianbao Yang , Lijun Zhang

This work focuses on the setting of dynamic regret in the context of online learning with full information. In particular, we analyze regret bounds with respect to the temporal variability of the loss functions. By assuming that the…

机器学习 · 计算机科学 2021-02-16 Nicolò Campolongo , Francesco Orabona

We present an adaptive online gradient descent algorithm to solve online convex optimization problems with long-term constraints , which are constraints that need to be satisfied when accumulated over a finite number of rounds T , but can…

机器学习 · 统计学 2015-12-24 Rodolphe Jenatton , Jim Huang , Cédric Archambeau

This paper addresses safe distributed online optimization over an unknown set of linear safety constraints. A network of agents aims at jointly minimizing a global, time-varying function, which is only partially observable to each…

最优化与控制 · 数学 2023-02-27 Ting-Jui Chang , Sapana Chaudhary , Dileep Kalathil , Shahin Shahrampour

We investigate online convex optimization in changing environments, and choose the adaptive regret as the performance measure. The goal is to achieve a small regret over every interval so that the comparator is allowed to change over time.…

机器学习 · 计算机科学 2019-06-18 Lijun Zhang , Tie-Yan Liu , Zhi-Hua Zhou

This paper studies the distributed bandit convex optimization problem with time-varying inequality constraints, where the goal is to minimize network regret and cumulative constraint violation. To calculate network cumulative constraint…

系统与控制 · 电气工程与系统科学 2025-03-31 Kunpeng Zhang , Xinlei Yi , Jinliang Ding , Ming Cao , Karl H. Johansson , Tao Yang

Recently, bandit optimization has received significant attention in real-world safety-critical systems that involve repeated interactions with humans. While there exist various algorithms with performance guarantees in the literature,…

机器学习 · 计算机科学 2023-11-13 Amirhossein Afsharrad , Ahmadreza Moradipari , Sanjay Lall

We study non-convex delayed-noise online optimization problems by evaluating dynamic regret in the non-stationary setting when the loss functions are quasar-convex. In particular, we consider scenarios involving quasar-convex functions…

最优化与控制 · 数学 2026-01-08 Felipe Lara , Cristian Vega

Stochastic multi-armed bandits form a class of online learning problems that have important applications in online recommendation systems, adaptive medical treatment, and many others. Even though potential attacks against these learning…

机器学习 · 计算机科学 2019-05-17 Fang Liu , Ness Shroff