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Online optimization problems arise in many resource allocation tasks, where the future demands for each resource and the associated utility functions change over time and are not known apriori, yet resources need to be allocated at every…

Optimization and Control · Mathematics 2015-02-06 Reza Eghbali , Jon Swenson , Maryam Fazel

Existing approaches to resource allocation for nowadays stochastic networks are challenged to meet fast convergence and tolerable delay requirements. The present paper leverages online learning advances to facilitate stochastic resource…

Optimization and Control · Mathematics 2017-05-24 Tianyi Chen , Aryan Mokhtari , Xin Wang , Alejandro Ribeiro , Georgios B. Giannakis

Mobile edge computing (MEC) emerges as a promising solution for servicing delay-sensitive tasks at the edge network. A body of recent literature started to focus on cost-efficient service placement and request scheduling. This work…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-27 Lina Su , Ne Wang , Ruiting Zhou , Zongpeng Li

We study the problem of online learning (OL) from revealed preferences: a learner wishes to learn a non-strategic agent's private utility function through observing the agent's utility-maximizing actions in a changing environment. We adopt…

Optimization and Control · Mathematics 2021-06-07 Violet Xinying Chen , Fatma Kılınç-Karzan

We consider the problem of sequential decision making under uncertainty in which the loss caused by a decision depends on the following binary observation. In competitive on-line learning, the goal is to design decision algorithms that are…

Machine Learning · Computer Science 2007-05-23 Vladimir Vovk

This paper presents a new regularization approach -- termed OpReg-Boost -- to boost the convergence and lessen the asymptotic error of online optimization and learning algorithms. In particular, the paper considers online algorithms for…

Machine Learning · Computer Science 2022-04-05 Nicola Bastianello , Andrea Simonetto , Emiliano Dall'Anese

We develop a reduction-based framework for online learning with delayed feedback that recovers and improves upon existing results for both first-order and bandit convex optimization. Our approach introduces a continuous-time model under…

Machine Learning · Computer Science 2026-02-04 Alexander Ryabchenko , Idan Attias , Daniel M. Roy

Although online convex optimization (OCO) under arbitrary delays has received increasing attention recently, previous studies focus on stationary environments with the goal of minimizing static regret. In this paper, we investigate the…

Machine Learning · Computer Science 2025-11-10 Yuanyu Wan , Chang Yao , Yitao Ma , Mingli Song , Lijun Zhang

In online convex optimization, the player aims to minimize regret, or the difference between her loss and that of the best fixed decision in hindsight over the entire repeated game. Algorithms that minimize (standard) regret may converge to…

Machine Learning · Computer Science 2023-02-14 Zhou Lu , Elad Hazan

We consider online convex optimization with time-varying constraints and conduct performance analysis using two stringent metrics: dynamic regret with respect to the online solution benchmark, and hard constraint violation that does not…

Machine Learning · Computer Science 2025-01-15 Juncheng Wang , Bingjie Yan , Yituo Liu

We consider online optimization in the 1-lookahead setting, where the objective does not decompose additively over the rounds of the online game. The resulting formulation enables us to deal with non-stationary and/or long-term constraints…

Machine Learning · Statistics 2016-06-09 Rodolphe Jenatton , Jim Huang , Dominik Csiba , Cedric Archambeau

We study online convex optimization under stochastic sub-gradient observation faults, where we introduce adaptive algorithms with minimax optimal regret guarantees. We specifically study scenarios where our sub-gradient observations can be…

Machine Learning · Computer Science 2019-04-23 Hakan Gokcesu , Suleyman S. Kozat

This paper studies an online cost optimization problem for distributed storage and access. The goal is to dynamically create and delete copies of data objects over time at geo-distributed servers to serve access requests and minimize the…

Data Structures and Algorithms · Computer Science 2025-10-29 Tianyu Zuo , Xueyan Tang , Bu Sung Lee , Jianfei Cai

This paper presents early work aiming at the development of a new framework for the design and analysis of algorithms for online learning based prediction and control. Firstly, we consider the task of predicting values of a function or time…

Optimization and Control · Mathematics 2019-03-26 Jan-P. Calliess

Traditional maximum entropy and sparsity-based algorithms for analytic continuation often suffer from the ill-posed kernel matrix or demand tremendous computation time for parameter tuning. Here we propose a neural network method by convex…

Machine Learning · Computer Science 2022-02-07 Dongchen Huang , Yi-feng Yang

This article develops a control method for linear time-invariant systems subject to time-varying and a priori unknown cost functions, that satisfies state and input constraints, and is robust to exogenous disturbances. To this end, we…

Systems and Control · Electrical Eng. & Systems 2026-02-02 Marko Nonhoff , Mohammad Taher Al Torshan , Matthias A. Müller

We propose accelerated randomized coordinate descent algorithms for stochastic optimization and online learning. Our algorithms have significantly less per-iteration complexity than the known accelerated gradient algorithms. The proposed…

Machine Learning · Computer Science 2018-07-17 Akshita Bhandari , Chandramani Singh

We investigate online convex optimization in non-stationary environments and choose dynamic regret as the performance measure, defined as the difference between cumulative loss incurred by the online algorithm and that of any feasible…

Machine Learning · Computer Science 2024-04-09 Peng Zhao , Yu-Jie Zhang , Lijun Zhang , Zhi-Hua Zhou

In this paper, we investigate an online prediction strategy named as Discounted-Normal-Predictor (Kapralov and Panigrahy, 2010) for smoothed online convex optimization (SOCO), in which the learner needs to minimize not only the hitting cost…

Machine Learning · Computer Science 2022-05-03 Lijun Zhang , Wei Jiang , Jinfeng Yi , Tianbao Yang

Non-linear, especially convex, objective functions have been extensively studied in recent years in which approaches relies crucially on the convexity property of cost functions. In this paper, we present primal-dual approaches based on…

Data Structures and Algorithms · Computer Science 2017-08-17 Nguyen Kim Thang