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We present methods for online linear optimization that take advantage of benign (as opposed to worst-case) sequences. Specifically if the sequence encountered by the learner is described well by a known "predictable process", the algorithms…

机器学习 · 统计学 2014-05-27 Alexander Rakhlin , Karthik Sridharan

We propose an asynchronous, decentralized algorithm for consensus optimization. The algorithm runs over a network in which the agents communicate with their neighbors and perform local computation. In the proposed algorithm, each agent can…

最优化与控制 · 数学 2017-03-06 Tianyu Wu , Kun Yuan , Qing Ling , Wotao Yin , Ali H. Sayed

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

机器学习 · 计算机科学 2024-01-03 Piao Hu , Jiashuo Jiang , Guodong Lyu , Hao Su

Recent research has proposed a series of specialized optimization algorithms for deep multi-task models. It is often claimed that these multi-task optimization (MTO) methods yield solutions that are superior to the ones found by simply…

机器学习 · 计算机科学 2022-09-26 Derrick Xin , Behrooz Ghorbani , Ankush Garg , Orhan Firat , Justin Gilmer

Probability estimates generated by boosting ensembles are poorly calibrated because of the margin maximization nature of the algorithm. The outputs of the ensemble need to be properly calibrated before they can be used as probability…

机器学习 · 计算机科学 2020-01-20 Nikolaos Nikolaou , Joseph Mellor , Nikunj C. Oza , Gavin Brown

Online learning algorithms for dynamical systems provide finite time guarantees for control in the presence of sequentially revealed cost functions. We pose the classical linear quadratic tracking problem in the framework of online…

系统与控制 · 电气工程与系统科学 2024-10-18 Aren Karapetyan , Diego Bolliger , Anastasios Tsiamis , Efe C. Balta , John Lygeros

In several applications of online optimization to networked systems such as power grids and robotic networks, information about the system model and its disturbances is not generally available. Within the optimization community, increasing…

最优化与控制 · 数学 2025-09-01 Caio Kalil Lauand , Andrey Bernstein

The online knapsack problem is a classic online resource allocation problem in networking and operations research. Its basic version studies how to pack online arriving items of different sizes and values into a capacity-limited knapsack.…

数据结构与算法 · 计算机科学 2023-03-16 Bo Sun , Lin Yang , Mohammad Hajiesmaili , Adam Wierman , John C. S. Lui , Don Towsley , Danny H. K. Tsang

We consider the problem of solving a distributed optimization problem using a distributed computing platform, where the communication in the network is limited: each node can only communicate with its neighbours and the channel has a…

系统与控制 · 计算机科学 2015-04-10 Ye Pu , Melanie N. Zeilinger , Colin N. Jones

We consider a decentralized convex unconstrained optimization problem, where the cost function can be decomposed into a sum of strongly convex and smooth functions, associated with individual agents, interacting over a static or…

In this paper, we propose control-theoretic methods as tools for the design of online optimization algorithms that are able to address dynamic, noisy, and partially uncertain time-varying quadratic objective functions. Our approach…

最优化与控制 · 数学 2025-02-03 Umberto Casti , Sandro Zampieri

We consider the distributed optimization problem, where a group of agents work together to optimize a common objective by communicating with neighboring agents and performing local computations. For a given algorithm, we use tools from…

最优化与控制 · 数学 2020-09-11 Bryan Van Scoy , Laurent Lessard

We analyze the convergence of gradient-based optimization algorithms that base their updates on delayed stochastic gradient information. The main application of our results is to the development of gradient-based distributed optimization…

最优化与控制 · 数学 2011-05-02 Alekh Agarwal , John C. Duchi

Online Feedback Optimization uses optimization algorithms as dynamic systems to design optimal control inputs. The results obtained from Online Feedback Optimization depend on the setup of the chosen optimization algorithm. In this work we…

最优化与控制 · 数学 2025-03-11 Marta Zagorowska , Lars Imsland

Designing online algorithms with machine learning predictions is a recent technique beyond the worst-case paradigm for various practically relevant online problems (scheduling, caching, clustering, ski rental, etc.). While most previous…

数据结构与算法 · 计算机科学 2023-12-25 Enikő Kevi , Kim-Thang Nguyen

We study the problem of online learning in competitive settings in the context of two-sided matching markets. In particular, one side of the market, the agents, must learn about their preferences over the other side, the firms, through…

人工智能 · 计算机科学 2022-06-07 Chinmay Maheshwari , Eric Mazumdar , Shankar Sastry

In this paper, we design an analytically and experimentally better online energy and job scheduling algorithm with the objective of maximizing net profit for a service provider in green data centers. We first study the previously known…

性能 · 计算机科学 2014-04-22 Huangxin Wang , Jean X. Zhang , Fei Li

Modern stochastic optimization methods often rely on uniform sampling which is agnostic to the underlying characteristics of the data. This might degrade the convergence by yielding estimates that suffer from a high variance. A possible…

机器学习 · 统计学 2018-06-07 Zalán Borsos , Andreas Krause , Kfir Y. Levy

We develop algorithms that find and track the optimal solution trajectory of time-varying convex optimization problems which consist of local and network-related objectives. The algorithms are derived from the prediction-correction…

最优化与控制 · 数学 2016-11-08 Andrea Simonetto , Alec Koppel , Aryan Mokhtari , Geert Leus , Alejandro Ribeiro

With the rise of smartphones and the internet-of-things, data is increasingly getting generated at the edge on local, personal devices. For privacy, latency and energy saving reasons, this shift is causing machine learning algorithms to…

机器学习 · 计算机科学 2021-04-29 Jiaqi Li , Ross Drummond , Stephen R. Duncan