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We study the problem of combining multiple bandit algorithms (that is, online learning algorithms with partial feedback) with the goal of creating a master algorithm that performs almost as well as the best base algorithm if it were to be…

机器学习 · 计算机科学 2017-06-07 Alekh Agarwal , Haipeng Luo , Behnam Neyshabur , Robert E. Schapire

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…

机器学习 · 计算机科学 2010-07-08 H. Brendan McMahan , Matthew Streeter

To deal with changing environments, a new performance measure -- adaptive regret, defined as the maximum static regret over any interval, was proposed in online learning. Under the setting of online convex optimization, several algorithms…

机器学习 · 计算机科学 2025-08-04 Lijun Zhang , Wenhao Yang , Guanghui Wang , Wei Jiang , Zhi-Hua Zhou

We study the problem of safe online convex optimization, where the action at each time step must satisfy a set of linear safety constraints. The goal is to select a sequence of actions to minimize the regret without violating the safety…

机器学习 · 计算机科学 2021-11-16 Sapana Chaudhary , Dileep Kalathil

In the field of online sequential decision-making, we address the problem with delays utilizing the framework of online convex optimization (OCO), where the feedback of a decision can arrive with an unknown delay. Unlike previous research…

机器学习 · 计算机科学 2024-02-26 Ping Wu , Heyan Huang , Zhengyang Liu

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

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…

最优化与控制 · 数学 2021-06-07 Violet Xinying Chen , Fatma Kılınç-Karzan

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…

机器学习 · 统计学 2016-06-09 Rodolphe Jenatton , Jim Huang , Dominik Csiba , Cedric Archambeau

This paper considers distributed online nonconvex optimization with time-varying inequality constraints over a network of agents, where the nonconvex local loss and convex local constraint functions can vary arbitrarily across iterations.…

最优化与控制 · 数学 2025-11-19 Kunpeng Zhang , Lei Xu , Xinlei Yi , Guanghui Wen , Ming Cao , Karl H. Johansson , Tianyou Chai , Tao Yang

This paper considers a convex optimization problem with cost and constraints that evolve over time. The function to be minimized is strongly convex and possibly non-differentiable, and variables are coupled through linear constraints. In…

系统与控制 · 电气工程与系统科学 2021-01-13 Yijian Zhang , Emiliano Dall'Anese , Mingyi Hong

We study an online linear programming (OLP) problem under a random input model in which the columns of the constraint matrix along with the corresponding coefficients in the objective function are generated i.i.d. from an unknown…

数据结构与算法 · 计算机科学 2021-04-20 Xiaocheng Li , Yinyu Ye

We study the unconstrained and the minimax saddle point variants of the convex multi-stage stochastic programming problem, where consecutive decisions are coupled through the objective functions, rather than through the constraints. We…

最优化与控制 · 数学 2026-03-02 Junhui Zhang , Patrick Jaillet

Classical PID control is widely applied in an engineering system, with parameter regulation relying on a method like Trial - Error Tuning or the Ziegler - Nichols rule, mainly for a Single - Input Single - Output (SISO) system. However, the…

系统与控制 · 电气工程与系统科学 2025-04-22 Zimao Sheng , Hong'an Yang

We study an online caching problem in which requests can be served by a local cache to avoid retrieval costs from a remote server. The cache can update its state after a batch of requests and store an arbitrarily small fraction of each…

机器学习 · 计算机科学 2023-06-07 T. Si Salem , G. Neglia , S. Ioannidis

We present new policy mirror descent (PMD) methods for solving reinforcement learning (RL) problems with either strongly convex or general convex regularizers. By exploring the structural properties of these overall highly nonconvex…

机器学习 · 计算机科学 2022-04-08 Guanghui Lan

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…

机器学习 · 计算机科学 2026-02-04 Alexander Ryabchenko , Idan Attias , Daniel M. Roy

We present tools for the analysis of Follow-The-Regularized-Leader (FTRL), Dual Averaging, and Mirror Descent algorithms when the regularizer (equivalently, prox-function or learning rate schedule) is chosen adaptively based on the data.…

机器学习 · 计算机科学 2015-11-10 H. Brendan McMahan

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 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…

机器学习 · 计算机科学 2017-11-15 Siddharth Barman , Aditya Gopalan , Aadirupa Saha

Sequential change-point detection when the distribution parameters are unknown is a fundamental problem in statistics and machine learning. When the post-change parameters are unknown, we consider a set of detection procedures based on…

统计理论 · 数学 2017-12-06 Yang Cao , Liyan Xie , Yao Xie , Huan Xu