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We study the problem of planning the deployments of a group of mobile robots. While the problem and formulation can be used for many different problems, here we use a bridge inspection as the motivating application for the purpose of…

数据结构与算法 · 计算机科学 2020-03-30 Michael Lin , Richard J. La

This paper investigates online composite optimization in dynamic environments, where each objective or loss function contains a time-varying nondifferentiable regularizer. To resolve it, an online proximal gradient algorithm is studied for…

最优化与控制 · 数学 2023-03-24 Ruijie Hou , Xiuxian Li , Yang Shi

This paper addresses the estimation of a time- varying parameter in a network. A group of agents sequentially receive noisy signals about the parameter (or moving target), which does not follow any particular dynamics. The parameter is not…

最优化与控制 · 数学 2016-03-03 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

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 2021-05-17 Lijun Zhang , Guanghui Wang , Wei-Wei Tu , Zhi-Hua Zhou

We present an algorithm guaranteeing dynamic regret bounds for online omniprediction with long term constraints. The goal in this recently introduced problem is for a learner to generate a sequence of predictions which are broadcast to a…

机器学习 · 计算机科学 2025-10-09 Yahav Bechavod , Jiuyao Lu , Aaron Roth

Recently, there has been a growing research interest in the analysis of dynamic regret, which measures the performance of an online learner against a sequence of local minimizers. By exploiting the strong convexity, previous studies have…

机器学习 · 计算机科学 2017-11-03 Lijun Zhang , Tianbao Yang , Jinfeng Yi , Rong Jin , Zhi-Hua Zhou

We present a novel approach to finding the $k$-sink on dynamic path networks with general edge capacities. Our first algorithm runs in $O(n \log n + k^2 \log^4 n)$ time, where $n$ is the number of vertices on the given path, and our second…

数据结构与算法 · 计算机科学 2016-09-07 Binay Bhattacharya , Mordecai J. Golin , Yuya Higashikawa , Tsunehiko Kameda , Naoki Katoh

In this paper, we consider the sequential decision problem where the goal is to minimize the general dynamic regret on a complete Riemannian manifold. The task of offline optimization on such a domain, also known as a geodesic metric space,…

机器学习 · 计算机科学 2023-07-06 Zihao Hu , Guanghui Wang , Jacob Abernethy

In this paper we study minimum cut and maximum flow problems on planar graphs, both in static and in dynamic settings. First, we present an algorithm that given an undirected planar graph computes the minimum cut between any two given…

数据结构与算法 · 计算机科学 2010-11-23 Giuseppe F. Italiano , Piotr Sankowski

This article focuses on a biobjective extension of the maximum flow network interdiction problem, where each arc in the network is associated with two capacity values. Two maximum flows from a source to a sink are to be computed…

组合数学 · 数学 2020-10-09 Luca E. Schäfer , Stefan Ruzika , Sven O. Krumke , Carlos M. Fonseca

We develop an algorithmic framework for solving convex optimization problems using no-regret game dynamics. By converting the problem of minimizing a convex function into an auxiliary problem of solving a min-max game in a sequential…

机器学习 · 计算机科学 2023-02-21 Jun-Kun Wang , Jacob Abernethy , Kfir Y. Levy

In this paper we provide an algorithm which given any $m$-edge $n$-vertex directed graph with integer capacities at most $U$ computes a maximum $s$-$t$ flow for any vertices $s$ and $t$ in $m^{11/8+o(1)}U^{1/4}$ time with high probability.…

数据结构与算法 · 计算机科学 2019-11-01 Yang P. Liu , Aaron Sidford

Making judicious channel access and transmission scheduling decisions is essential for improving performance as well as energy and spectral efficiency in multichannel wireless systems. This problem has been a subject of extensive study in…

机器学习 · 计算机科学 2015-04-07 Yang Liu , Mingyan Liu

We propose and study an online version of min-max optimization based on cumulative saddle points under a variety of performance measures beyond convex-concave settings. After first observing the incompatibility of (static) Nash equilibrium…

机器学习 · 计算机科学 2026-02-12 Abhijeet Vyas , Brian Bullins

We study reinforcement learning for episodic Markov Decision Processes (MDPs) whose transitions are modelled by a multinomial logistic (MNL) model. Existing algorithms for MNL mixture MDPs yield a regret of $\smash{\tilde{O}(dH^2\sqrt{T})}$…

人工智能 · 计算机科学 2026-05-20 Pierre Boudart , Pierre Gaillard , Alessandro Rudi

We investigate the problem of designing a minimum cost flow network interconnecting n sources and a single sink, each with known locations and flows. The network may contain other unprescribed nodes, known as Steiner points. For concave…

最优化与控制 · 数学 2020-02-25 M. G. Volz , M. Brazil , K. J. Swanepoel , D. A. Thomas

In this paper the capacitated hub location problem is formulated by a minimax regret model, which takes into account uncertain setup cost and demand. We focus on hub location with multiple allocations as a strategic problem requiring one…

数据结构与算法 · 计算机科学 2017-09-19 Iman Kazemian , Samin Aref

This paper studies an online service caching problem, where an edge server, equipped with a prediction window of future service request arrivals, needs to decide which services to host locally subject to limited storage capacity. The edge…

网络与互联网体系结构 · 计算机科学 2023-01-11 Siqi Fan , I-Hong Hou , Van Sy Mai

In this paper, we consider the problem of scheduling jobs on parallel identical machines, where the processing times of jobs are uncertain: only interval bounds of processing times are known. The optimality criterion of a schedule is the…

数据结构与算法 · 计算机科学 2016-03-25 Maciej Drwal , Roman Rischke

We propose an algorithm for solving the time-dependent shortest path problem in flow fields where the FIFO (first-in-first-out) assumption is violated. This problem variant is important for autonomous vehicles in the ocean, for example,…

机器人学 · 计算机科学 2019-09-06 James Ju Heon Lee , Chanyeol Yoo , Stuart Anstee , Robert Fitch