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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

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

Many online decision-making problems correspond to maximizing a sequence of submodular functions. In this work, we introduce sum-max functions, a subclass of monotone submodular functions capturing several interesting problems, including…

机器学习 · 计算机科学 2023-11-13 Stephen Pasteris , Alberto Rumi , Fabio Vitale , Nicolò Cesa-Bianchi

In this work, we consider a distributed online convex optimization problem, with time-varying (potentially adversarial) constraints. A set of nodes, jointly aim to minimize a global objective function, which is the sum of local convex…

最优化与控制 · 数学 2021-05-06 Pranay Sharma , Prashant Khanduri , Lixin Shen , Donald J. Bucci , Pramod K. Varshney

This paper proposes a modular approach that combines the online convex optimization framework and reference governors to solve a constrained control problem featuring time-varying and a priori unknown cost functions. Compared to existing…

系统与控制 · 电气工程与系统科学 2025-07-14 Marko Nonhoff , Johannes Köhler , Matthias A. Müller

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

The performance of online convex optimization algorithms in a dynamic environment is often expressed in terms of the dynamic regret, which measures the decision maker's performance against a sequence of time-varying comparators. In the…

机器学习 · 计算机科学 2022-02-28 Nima Eshraghi , Ben Liang

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

Predicting the output of a dynamical system from streaming data is fundamental to real-time feedback control and decision-making. We first derive an autoregressive representation that relates future local outputs to asynchronous past…

系统与控制 · 电气工程与系统科学 2026-03-09 Jiachen Qian , Yang Zheng

Maximizing a monotone submodular function is a fundamental task in machine learning, economics, and statistics. In this paper, we present two communication-efficient decentralized online algorithms for the monotone continuous DR-submodular…

机器学习 · 计算机科学 2022-08-19 Qixin Zhang , Zengde Deng , Xiangru Jian , Zaiyi Chen , Haoyuan Hu , Yu Yang

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

In this paper, we study online convex optimization in dynamic environments, and aim to bound the dynamic regret with respect to any sequence of comparators. Existing work have shown that online gradient descent enjoys an…

机器学习 · 计算机科学 2018-10-26 Lijun Zhang , Shiyin Lu , Zhi-Hua Zhou

We propose an algorithm based on online convex optimization for controlling discrete-time linear dynamical systems. The algorithm is data-driven, i.e., does not require a model of the system, and is able to handle a priori unknown and…

最优化与控制 · 数学 2022-11-17 Marko Nonhoff , Matthias A. Müller

We present a polynomial time algorithm for online maximization of $k$-submodular maximization. For online (nonmonotone) $k$-submodular maximization, our algorithm achieves a tight approximate factor in an approximate regret. For online…

数据结构与算法 · 计算机科学 2018-07-16 Tasuku Soma

We consider online learning problems in the realizable setting, where there is a zero-loss solution, and propose new Differentially Private (DP) algorithms that obtain near-optimal regret bounds. For the problem of online prediction from…

机器学习 · 计算机科学 2023-03-01 Hilal Asi , Vitaly Feldman , Tomer Koren , Kunal Talwar

Recent literature on online learning has focused on developing adaptive algorithms that take advantage of a regularity of the sequence of observations, yet retain worst-case performance guarantees. A complementary direction is to develop…

机器学习 · 计算机科学 2015-01-27 Ali Jadbabaie , Alexander Rakhlin , Shahin Shahrampour , Karthik Sridharan

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

This paper considers distributed online optimization with time-varying coupled inequality constraints. The global objective function is composed of local convex cost and regularization functions and the coupled constraint function is the…

最优化与控制 · 数学 2019-06-06 Xinlei Yi , Xiuxian Li , Lihua Xie , Karl H. Johansson

This paper studies bandit convex optimization in non-stationary environments with two-point feedback, using dynamic regret as the performance measure. We propose an algorithm based on bandit mirror descent that extends naturally to…

最优化与控制 · 数学 2026-05-26 Chang He , Bo Jiang , Shuzhong Zhang