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We present new efficient \textit{projection-free} algorithms for online convex optimization (OCO), where by projection-free we refer to algorithms that avoid computing orthogonal projections onto the feasible set, and instead relay on…

Machine Learning · Computer Science 2023-03-21 Dan Garber , Ben Kretzu

In the convex optimization approach to online regret minimization, many methods have been developed to guarantee a $O(\sqrt{T})$ bound on regret for subdifferentiable convex loss functions with bounded subgradients, by using a reduction to…

Machine Learning · Computer Science 2016-09-20 Arthur Flajolet , Patrick Jaillet

Adaptive gradient algorithms such as ADAGRAD and its variants have gained popularity in the training of deep neural networks. While many works as for adaptive methods have focused on the static regret as a performance metric to achieve a…

Machine Learning · Computer Science 2022-09-07 Parvin Nazari , Esmaile Khorram

We consider the problem of strongly-convex online optimization in presence of adversarial delays; in a T-iteration online game, the feedback of the player's query at time t is arbitrarily delayed by an adversary for d_t rounds and delivered…

Machine Learning · Computer Science 2019-09-12 Daniel Khashabi , Kent Quanrud , Amirhossein Taghvaei

We introduce a new online convex optimization algorithm that adaptively chooses its regularization function based on the loss functions observed so far. This is in contrast to previous algorithms that use a fixed regularization function…

Machine Learning · Computer Science 2010-07-08 H. Brendan McMahan , Matthew Streeter

We consider the problem of the Zinkevich (2003)-style dynamic regret minimization in online learning with exp-concave losses. We show that whenever improper learning is allowed, a Strongly Adaptive online learner achieves the dynamic regret…

Machine Learning · Computer Science 2021-07-06 Dheeraj Baby , Yu-Xiang Wang

We consider Online Convex Optimization (OCO) in the setting where the costs are $m$-strongly convex and the online learner pays a switching cost for changing decisions between rounds. We show that the recently proposed Online Balanced…

Machine Learning · Computer Science 2019-04-05 Gautam Goel , Adam Wierman

In this paper, we consider a distributed online convex optimization problem over a time-varying multi-agent network. The goal of this network is to minimize a global loss function through local computation and communication with neighbors.…

Optimization and Control · Mathematics 2024-06-17 Wentao Zhang , Yang Shi , Baoyong Zhang , Deming Yuan

This paper considers distributed online convex optimization with adversarial constraints. In this setting, a network of agents makes decisions at each round, and then only a portion of the loss function and a coordinate block of the…

Optimization and Control · Mathematics 2023-06-02 Xinlei Yi , Xiuxian Li , Tao Yang , Lihua Xie , Yiguang Hong , Tianyou Chai , Karl H. Johansson

To cope with changing environments, recent developments in online learning have introduced the concepts of adaptive regret and dynamic regret independently. In this paper, we illustrate an intrinsic connection between these two concepts by…

Machine Learning · Computer Science 2018-06-05 Lijun Zhang , Tianbao Yang , Rong Jin , Zhi-Hua Zhou

This paper investigates distributed online convex optimization in the presence of an aggregative variable without any global/central coordinators over a multi-agent network, where each individual agent is only able to access partial…

Optimization and Control · Mathematics 2020-07-15 Xiuxian Li , Xinlei Yi , Lihua Xie

Decentralized optimization, particularly the class of decentralized composite convex optimization (DCCO) problems, has found many applications. Due to ubiquitous communication congestion and random dropouts in practice, it is highly…

Optimization and Control · Mathematics 2022-10-12 Changxin Liu , Zirui Zhou , Jian Pei , Yong Zhang , Yang Shi

We study decentralized online Riemannian optimization over manifolds with possibly positive curvature, going beyond the Hadamard manifold setting. Decentralized optimization techniques rely on a consensus step that is well understood in…

Optimization and Control · Mathematics 2025-09-10 Emre Sahinoglu , Shahin Shahrampour

In this work, we explore online convex optimization (OCO) and introduce a new condition and analysis that provides fast rates by exploiting the curvature of feasible sets. In online linear optimization, it is known that if the average…

Machine Learning · Computer Science 2025-02-18 Taira Tsuchiya , Shinji Ito

In this paper, we present an improved analysis for dynamic regret of strongly convex and smooth functions. Specifically, we investigate the Online Multiple Gradient Descent (OMGD) algorithm proposed by Zhang et al. (2017). The original…

Machine Learning · Computer Science 2021-04-15 Peng Zhao , Lijun Zhang

This paper introduces a dual-based algorithm framework for solving the regularized online resource allocation problems, which have potentially non-concave cumulative rewards, hard resource constraints, and a non-separable regularizer. Under…

Machine Learning · Computer Science 2023-07-18 Wanteng Ma , Ying Cao , Danny H. K. Tsang , Dong Xia

Motivated by machine learning applications in networks of sensors, internet-of-things (IoT) devices, and autonomous agents, we propose techniques for distributed stochastic convex learning from high-rate data streams. The setup involves a…

Machine Learning · Statistics 2019-06-11 Matthew Nokleby , Waheed U. Bajwa

In this paper, we investigate the online non-convex optimization problem which generalizes the classic {online convex optimization problem by relaxing the convexity assumption on the cost function. For this type of problem, the classic…

Machine Learning · Computer Science 2017-09-14 Lin Yang , Cheng Tan , Wing Shing Wong

Consider an online convex optimization problem where the loss functions are self-concordant barriers, smooth relative to a convex function $h$, and possibly non-Lipschitz. We analyze the regret of online mirror descent with $h$. Then, based…

Machine Learning · Statistics 2023-09-22 Chung-En Tsai , Hao-Chung Cheng , Yen-Huan Li

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…

Systems and Control · Electrical Eng. & Systems 2025-01-24 Travis E. Gibson , Sawal Acharya
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