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Related papers: Multitask Online Mirror Descent

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We propose an Online Learning with Local Permutations (OLLP) setting, in which the learner is allowed to slightly permute the \emph{order} of the loss functions generated by an adversary. On one hand, this models natural situations where…

Machine Learning · Computer Science 2017-03-14 Ohad Shamir , Liran Szlak

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…

Machine Learning · Computer Science 2021-02-16 Nicolò Campolongo , Francesco Orabona

This work addresses decentralized online optimization in non-stationary environments. A network of agents aim to track the minimizer of a global time-varying convex function. The minimizer evolves according to a known dynamics corrupted by…

Optimization and Control · Mathematics 2016-09-12 Shahin Shahrampour , Ali Jadbabaie

Inspired by the remarkable success of large neural networks, there has been significant interest in understanding the generalization performance of over-parameterized models. Substantial efforts have been invested in characterizing how…

Machine Learning · Computer Science 2024-01-12 Haoyuan Sun , Khashayar Gatmiry , Kwangjun Ahn , Navid Azizan

Models trained with offline data often suffer from continual distribution shifts and expensive labeling in changing environments. This calls for a new online learning paradigm where the learner can continually adapt to changing environments…

Machine Learning · Computer Science 2022-03-22 Shiji Zhou , Han Zhao , Shanghang Zhang , Lianzhe Wang , Heng Chang , Zhi Wang , Wenwu Zhu

We investigate the problem of online convex optimization with unknown delays, in which the feedback of a decision arrives with an arbitrary delay. Previous studies have presented a delayed variant of online gradient descent (OGD), and…

Machine Learning · Computer Science 2021-03-23 Yuanyu Wan , Wei-Wei Tu , Lijun Zhang

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…

Optimization and Control · Mathematics 2019-06-06 Xinlei Yi , Xiuxian Li , Lihua Xie , Karl H. Johansson

We study Smoothed Online Convex Optimization, a version of online convex optimization where the learner incurs a penalty for changing her actions between rounds. Given a $\Omega(\sqrt{d})$ lower bound on the competitive ratio of any online…

Machine Learning · Computer Science 2018-07-10 Niangjun Chen , Gautam Goel , Adam Wierman

We study how to learn $\epsilon$-optimal strategies in zero-sum imperfect information games (IIG) with trajectory feedback. In this setting, players update their policies sequentially based on their observations over a fixed number of…

Computer Science and Game Theory · Computer Science 2023-09-06 Côme Fiegel , Pierre Ménard , Tadashi Kozuno , Rémi Munos , Vianney Perchet , Michal Valko

We consider prediction with expert advice when the loss vectors are assumed to lie in a set described by the sum of atomic norm balls. We derive a regret bound for a general version of the online mirror descent (OMD) algorithm that uses a…

Machine Learning · Computer Science 2017-11-15 Siddharth Barman , Aditya Gopalan , Aadirupa Saha

Online optimization has emerged as powerful tool in large scale optimization. In this paper, we introduce efficient online algorithms based on the alternating directions method (ADM). We introduce a new proof technique for ADM in the batch…

Machine Learning · Computer Science 2012-07-03 Huahua Wang , Arindam Banerjee

In this paper, we investigate regrets of an online semi-proximal alternating direction method of multiplier (Online-spADMM) for solving online linearly constrained convex composite optimization problems. Under mild conditions, we establish…

Optimization and Control · Mathematics 2024-02-09 Yule Zhang , Zehao Xiao , Jia Wu , Liwei Zhang

Decision-focused learning trains predictive models end-to-end against downstream decision loss, but online settings suffer delayed feedback: outcomes may not arrive for many environment interactions. We identify \emph{staleness…

Machine Learning · Computer Science 2026-05-14 Benjamin Amoh , Geoffrey G. Parker , Wesley Marrero

In this paper, we consider the problem of finding a meta-learning online control algorithm that can learn across the tasks when faced with a sequence of $N$ (similar) control tasks. Each task involves controlling a linear dynamical system…

Machine Learning · Computer Science 2022-08-23 Deepan Muthirayan , Dileep Kalathil , Pramod P. Khargonekar

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

We show that, for any sufficiently small fixed $\epsilon > 0$, when both players in a general-sum two-player (bimatrix) game employ optimistic mirror descent (OMD) with smooth regularization, learning rate $\eta = O(\epsilon^2)$ and $T =…

Computer Science and Game Theory · Computer Science 2022-10-10 Ioannis Anagnostides , Gabriele Farina , Ioannis Panageas , Tuomas Sandholm

This paper considers the distributed online convex-concave optimization with constraint sets over a multiagent network, in which each agent autonomously generates a series of decision pairs through a designable mechanism to cooperatively…

Optimization and Control · Mathematics 2025-08-14 Wentao Zhang , Baoyong Zhang , Deming Yuan , Shengyuan Xu , Vincent K. N. Lau

We study the generalized linear bandit (GLB) problem, a contextual multi-armed bandit framework that extends the classical linear model by incorporating a non-linear link function, thereby modeling a broad class of reward distributions such…

Machine Learning · Computer Science 2025-10-31 Yu-Jie Zhang , Sheng-An Xu , Peng Zhao , Masashi Sugiyama

Multi-objective learning (MOL) aims to learn under multiple potentially conflicting objectives and strike a proper balance. While recent preference-guided MOL methods often rely on additional optimization objectives or constraints, we…

Machine Learning · Computer Science 2026-03-27 Meitong Liu , Xiaoyuan Zhang , Chulin Xie , Kate Donahue , Han Zhao

We consider online convex optimization with stochastic constraints where the objective functions are arbitrarily time-varying and the constraint functions are independent and identically distributed (i.i.d.) over time. Both the objective…

Optimization and Control · Mathematics 2019-08-02 Xiaohan Wei , Hao Yu , Michael J. Neely