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We consider the problem of adversarial bandit convex optimization, that is, online learning over a sequence of arbitrary convex loss functions with only one function evaluation for each of them. While all previous works assume known and…

机器学习 · 计算机科学 2022-02-15 Haipeng Luo , Mengxiao Zhang , Peng Zhao

We consider online convex optimization when a number k of data points are outliers that may be corrupted. We model this by introducing the notion of robust regret, which measures the regret only on rounds that are not outliers. The aim for…

机器学习 · 计算机科学 2021-08-31 Tim van Erven , Sarah Sachs , Wouter M. Koolen , Wojciech Kotłowski

In this paper, we develop a novel virtual-queue-based online algorithm for online convex optimization (OCO) problems with long-term and time-varying constraints and conduct a performance analysis with respect to the dynamic regret and…

最优化与控制 · 数学 2021-11-16 Qingsong Liu , Wenfei Wu , Longbo Huang , Zhixuan Fang

We provide an online convex optimization algorithm with regret that interpolates between the regret of an algorithm using an optimal preconditioning matrix and one using a diagonal preconditioning matrix. Our regret bound is never worse…

机器学习 · 计算机科学 2019-05-31 Ashok Cutkosky , Tamas Sarlos

We investigate bandit convex optimization (BCO) with delayed feedback, where only the loss value of the action is revealed under an arbitrary delay. Let $n,T,\bar{d}$ denote the dimensionality, time horizon, and average delay, respectively.…

机器学习 · 计算机科学 2024-06-25 Yuanyu Wan , Chang Yao , Mingli Song , Lijun Zhang

We introduce the problem of $k$-chasing of convex functions, a simultaneous generalization of both the famous k-server problem in $R^d$, and of the problem of chasing convex bodies and functions. Aside from fundamental interest in this…

数据结构与算法 · 计算机科学 2020-04-17 Sébastien Bubeck , Yuval Rabani , Mark Sellke

Bandit Convex Optimization (BCO) is a fundamental framework for modeling sequential decision-making with partial information, where the only feedback available to the player is the one-point or two-point function values. In this paper, we…

机器学习 · 计算机科学 2020-07-07 Peng Zhao , Guanghui Wang , Lijun Zhang , Zhi-Hua Zhou

We study a class of adversarial bandit optimization problems in which the loss functions may be non-convex and non-smooth. In each round, the learner observes a loss that consists of an underlying linear component together with an…

机器学习 · 计算机科学 2026-03-30 Zhuoyu Cheng , Kohei Hatano , Eiji Takimoto

We study online inverse linear optimization, also known as contextual recommendation, where a learner sequentially infers an agent's hidden objective vector from observed optimal actions over feasible sets that change over time. The learner…

机器学习 · 计算机科学 2026-05-13 Taihei Oki , Shinsaku Sakaue

In this paper, we study dynamic regret in unconstrained online convex optimization (OCO) with movement costs. Specifically, we generalize the standard setting by allowing the movement cost coefficients $\lambda_t$ to vary arbitrarily over…

机器学习 · 计算机科学 2026-02-09 Emmanuel Esposito , Andrew Jacobsen , Hao Qiu , Mengxiao Zhang

We study the problem of online learning and online regret minimization when samples are drawn from a general unknown non-stationary process. We introduce the concept of a dynamic changing process with cost $K$, where the conditional…

机器学习 · 计算机科学 2023-11-14 Changlong Wu , Ananth Grama , Wojciech Szpankowski

The online meta-learning framework is designed for the continual lifelong learning setting. It bridges two fields: meta-learning which tries to extract prior knowledge from past tasks for fast learning of future tasks, and online-learning…

机器学习 · 计算机科学 2020-02-20 Zhenxun Zhuang , Yunlong Wang , Kezi Yu , Songtao Lu

To expand the applicability of decentralized online learning, previous studies have proposed several algorithms for decentralized online continuous submodular maximization (D-OCSM) -- a non-convex/non-concave setting with continuous…

机器学习 · 计算机科学 2026-02-11 Yuanyu Wan , Yu Shen , Dingzhi Yu , Bo Xue , Mingli Song

Stochastic and adversarial data are two widely studied settings in online learning. But many optimization tasks are neither i.i.d. nor fully adversarial, which makes it of fundamental interest to get a better theoretical understanding of…

机器学习 · 计算机科学 2022-06-09 Sarah Sachs , Hédi Hadiji , Tim van Erven , Cristóbal Guzmán

An open challenge in supervised learning is \emph{conceptual drift}: a data point begins as classified according to one label, but over time the notion of that label changes. Beyond linear autoregressive models, transfer and meta learning…

最优化与控制 · 数学 2019-09-13 Amrit Singh Bedi , Alec Koppel , Ketan Rajawat , Brian M. Sadler

We study various discrete nonlinear combinatorial optimization problems in an online learning framework. In the first part, we address the question of whether there are negative results showing that getting a vanishing (or even vanishing…

数据结构与算法 · 计算机科学 2020-06-24 Evripidis Bampis , Dimitris Christou , Bruno Escoffier , Nguyen Kim Thang

In this paper, the problem of online distributed zeroth-order optimization subject to a set constraint is studied via a multi-agent network, where each agent can communicate with its immediate neighbors via a time-varying directed graph.…

系统与控制 · 电气工程与系统科学 2025-11-05 Yanfu Qin , Kaihong Lu

We study online learning with bandit feedback (i.e. learner has access to only zeroth-order oracle) where cost/reward functions $\f_t$ admit a "pseudo-1d" structure, i.e. $\f_t(\w) = \loss_t(\pred_t(\w))$ where the output of $\pred_t$ is…

机器学习 · 计算机科学 2021-02-16 Aadirupa Saha , Nagarajan Natarajan , Praneeth Netrapalli , Prateek Jain

Existing approaches to online convex optimization (OCO) make sequential one-slot-ahead decisions, which lead to (possibly adversarial) losses that drive subsequent decision iterates. Their performance is evaluated by the so-called regret…

系统与控制 · 计算机科学 2017-11-22 Tianyi Chen , Qing Ling , Georgios B. Giannakis

We consider the problem of universal dynamic regret minimization under exp-concave and smooth losses. We show that appropriately designed Strongly Adaptive algorithms achieve a dynamic regret of $\tilde O(d^2 n^{1/5} C_n^{2/5} \vee d^2)$,…

机器学习 · 计算机科学 2023-02-28 Dheeraj Baby , Yu-Xiang Wang