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Smoothed online combinatorial optimization considers a learner who repeatedly chooses a combinatorial decision to minimize an unknown changing cost function with a penalty on switching decisions in consecutive rounds. We study smoothed…

机器学习 · 计算机科学 2023-01-18 Kai Wang , Zhao Song , Georgios Theocharous , Sridhar Mahadevan

We develop algorithms for online linear regression which achieve optimal static and dynamic regret guarantees \emph{even in the complete absence of prior knowledge}. We present a novel analysis showing that a discounted variant of the…

机器学习 · 计算机科学 2024-05-30 Andrew Jacobsen , Ashok Cutkosky

We investigate the online nonsubmodular optimization with delayed feedback in the bandit setting, where the loss function is $\alpha$-weakly DR-submodular and $\beta$-weakly DR-supermodular. Previous work has established an…

机器学习 · 计算机科学 2025-08-04 Sifan Yang , Yuanyu Wan , Lijun Zhang

We study the problem of prediction with expert advice when the number of experts in question may be extremely large or even infinite. We devise an algorithm that obtains a tight regret bound of $\widetilde{O}(\epsilon T + N + \sqrt{NT})$,…

机器学习 · 计算机科学 2017-02-28 Alon Cohen , Shie Mannor

In this paper, we analyze the problem of online convex optimization in different settings, including different feedback types (full-information/semi-bandit/bandit/etc) in either stochastic or non-stochastic setting and different notions of…

机器学习 · 计算机科学 2026-02-23 Mohammad Pedramfar , Vaneet Aggarwal

We study the repeated optimal stopping problem, in which the same optimal stopping instance with an unknown distribution is solved repeatedly over $T$ rounds. We aim to simultaneously achieve strong per-round performance guarantees relative…

数据结构与算法 · 计算机科学 2026-05-18 Tsubasa Harada , Yasushi Kawase , Hanna Sumita

We consider Constrained Online Convex Optimization (COCO) with adversarially chosen constraints. At each round, the learner chooses an action before observing the loss and constraint function for that round. The goal is to achieve small…

机器学习 · 计算机科学 2026-05-21 Dhruv Sarkar , Abhishek Sinha

We study high-probability regret bounds for adversarial $K$-armed bandits with time-varying feedback graphs over $T$ rounds. For general strongly observable graphs, we develop an algorithm that achieves the optimal regret…

机器学习 · 计算机科学 2023-01-31 Haipeng Luo , Hanghang Tong , Mengxiao Zhang , Yuheng Zhang

We study how to adapt to smoothly-varying ('easy') environments in well-known online learning problems where acquiring information is expensive. For the problem of label efficient prediction, which is a budgeted version of prediction with…

机器学习 · 计算机科学 2019-12-09 Siddharth Mitra , Aditya Gopalan

In online (sequential) calibration, a forecaster predicts probability distributions over a finite outcome space $[d]$ over a sequence of $T$ days, with the goal of being calibrated. While asymptotically calibrated strategies are known to…

机器学习 · 计算机科学 2025-04-15 Binghui Peng

We propose a novel approach for analyzing dynamic regret of first-order constrained online convex optimization algorithms for strongly convex and Lipschitz-smooth objectives. Crucially, we provide a general analysis that is applicable to a…

最优化与控制 · 数学 2025-08-22 Fabian Jakob , Andrea Iannelli

We study the framework of universal dynamic regret minimization with strongly convex losses. We answer an open problem in Baby and Wang 2021 by showing that in a proper learning setup, Strongly Adaptive algorithms can achieve the near…

机器学习 · 计算机科学 2022-01-25 Dheeraj Baby , Yu-Xiang Wang

We provide algorithms that guarantee regret $R_T(u)\le \tilde O(G\|u\|^3 + G(\|u\|+1)\sqrt{T})$ or $R_T(u)\le \tilde O(G\|u\|^3T^{1/3} + GT^{1/3}+ G\|u\|\sqrt{T})$ for online convex optimization with $G$-Lipschitz losses for any comparison…

机器学习 · 统计学 2019-02-26 Ashok Cutkosky

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…

机器学习 · 计算机科学 2023-03-21 Dan Garber , Ben Kretzu

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

We study distributed methods for online prediction and stochastic optimization. Our approach is iterative: in each round nodes first perform local computations and then communicate in order to aggregate information and synchronize their…

信息论 · 计算机科学 2014-03-06 Konstantinos I. Tsianos , Michael G. Rabbat

Adapting to a priori unknown noise level is a very important but challenging problem in sequential decision-making as efficient exploration typically requires knowledge of the noise level, which is often loosely specified. We report…

机器学习 · 统计学 2024-06-11 Kwang-Sung Jun , Jungtaek Kim

A new algorithm for regret minimization in online convex optimization is described. The regret of the algorithm after $T$ time periods is $O(\sqrt{T \log T})$ - which is the minimum possible up to a logarithmic term. In addition, the new…

机器学习 · 计算机科学 2023-07-24 Elad Hazan , Nimrod Megiddo

Coordinating multiple agents to collaboratively maximize submodular functions in unpredictable environments is a critical task with numerous applications in machine learning, robot planning and control. The existing approaches, such as the…

多智能体系统 · 计算机科学 2025-02-10 Qixin Zhang , Zongqi Wan , Yu Yang , Li Shen , Dacheng Tao

We uncover a fairly general principle in online learning: If regret can be (approximately) expressed as a function of certain "sufficient statistics" for the data sequence, then there exists a special Burkholder function that 1) can be used…

机器学习 · 计算机科学 2018-03-22 Dylan J. Foster , Alexander Rakhlin , Karthik Sridharan