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In this study, we investigate the performance of two novel first-order optimization algorithms, namely the rescaled-gradient flow (RGF) and the signed-gradient flow (SGF). These algorithms are derived from the forward Euler discretization…

机器学习 · 计算机科学 2025-03-19 Siqi Zhang , Mouhacine Benosman , Orlando Romero

Adversarial online linear optimization (OLO) is essentially about making performance tradeoffs with respect to the unknown difficulty of the adversary. In the setting of one-dimensional fixed-time OLO on a bounded domain, it has been…

机器学习 · 统计学 2026-02-09 Zhiyu Zhang , Aaditya Ramdas

Primal-dual methods in online optimization give several of the state-of-the art results in both of the most common models: adversarial and stochastic/random order. Here we try to provide a more unified analysis of primal-dual algorithms to…

数据结构与算法 · 计算机科学 2020-11-04 Marco Molinaro

State-of-the-art scene flow algorithms pursue the conflicting targets of accuracy, run time, and robustness. With the successful concept of pixel-wise matching and sparse-to-dense interpolation, we push the limits of scene flow estimation.…

计算机视觉与模式识别 · 计算机科学 2019-10-30 René Schuster , Oliver Wasenmüller , Christian Unger , Georg Kuschk , Didier Stricker

Adversarial Optimization (AO) provides a reliable, practical way to match two implicitly defined distributions, one of which is usually represented by a sample of real data, and the other is defined by a generator. Typically, AO involves…

机器学习 · 计算机科学 2020-05-26 Maxim Borisyak , Tatiana Gaintseva , Andrey Ustyuzhanin

This paper is the first to consider online algorithms to schedule a proportionate flexible flow shop of batching machines (PFFB). The scheduling model is motivated by manufacturing processes of individualized medicaments, which are used in…

数据结构与算法 · 计算机科学 2024-07-18 Christoph Hertrich , Christian Weiß , Heiner Ackermann , Sandy Heydrich , Sven O. Krumke

We consider the problem of sorting $n$ elements in the case of \emph{persistent} comparison errors. In this model (Braverman and Mossel, SODA'08), each comparison between two elements can be wrong with some fixed (small) probability $p$,…

数据结构与算法 · 计算机科学 2018-04-23 Barbara Geissmann , Stefano Leucci , Chih-Hung Liu , Paolo Penna

We study online nonclairvoyant speed scaling to minimize total flow time plus energy. We first consider the traditional model where the power function is P (s) = s\^\propto. We give a nonclairvoyant algorithm that is shown to be…

数据结构与算法 · 计算机科学 2009-02-10 Ho-Leung Chan , Jeff Edmonds , Tak-Wah Lam , Lap-Kei Lee , Alberto Marchetti-Spaccamela , Kirk Pruhs

In this paper we merge recent developments on exact algorithms for finding an ordering of vertices of a given graph that minimizes bandwidth (the BANDWIDTH problem) and for finding an embedding of a given graph into a line that minimizes…

数据结构与算法 · 计算机科学 2010-04-29 Marek Cygan , Marcin Pilipczuk

We study the online load balancing problem on unrelated machines, with the objective of minimizing the square of the $\ell_2$ norm of the loads on the machines. The greedy algorithm of Awerbuch et al. (STOC'95) is optimal for deterministic…

数据结构与算法 · 计算机科学 2025-11-06 Sander Borst , Danish Kashaev

We consider the problem of asynchronous stochastic optimization, where an optimization algorithm makes updates based on stale stochastic gradients of the objective that are subject to an arbitrary (possibly adversarial) sequence of delays.…

最优化与控制 · 数学 2025-06-23 Amit Attia , Ofir Gaash , Tomer Koren

We consider the precedence-constrained scheduling problem to minimize the total weighted completion time. For a single machine several $2$-approximation algorithms are known, which are based on linear programming and network flows. We show…

数据结构与算法 · 计算机科学 2023-09-22 Sven Jäger , Philipp Warode

We are concerned with demonstrating productivity of specifications of infinite streams of data, based on orthogonal rewrite rules. In general, this property is undecidable, but for restricted formats computable sufficient conditions can be…

计算机科学中的逻辑 · 计算机科学 2008-07-20 Joerg Endrullis , Clemens Grabmayer , Dimitri Hendriks

We consider the classical problem of scheduling $n$ jobs with release dates on both single and identical parallel machines. We measure the quality of service provided to each job by its stretch, which is defined as the ratio of its response…

数据结构与算法 · 计算机科学 2014-06-27 Abhinav Srivastav , Denis Trystram

Traditional algorithms for stochastic optimization require projecting the solution at each iteration into a given domain to ensure its feasibility. When facing complex domains, such as positive semi-definite cones, the projection operation…

机器学习 · 计算机科学 2013-04-03 Lijun Zhang , Tianbao Yang , Rong Jin , Xiaofei He

Online platforms increasingly rely on sequential decision-making algorithms to allocate resources, match users, or control exposure, while facing growing pressure to ensure fairness over time. We study a general online decision-making…

最优化与控制 · 数学 2026-02-13 Rui Chen , Oktay Gunluk , Andrea Lodi , Guanyi Wang

Convex nonsmooth optimization problems, whose solutions live in very high dimensional spaces, have become ubiquitous. To solve them, the class of first-order algorithms known as proximal splitting algorithms is particularly adequate: they…

最优化与控制 · 数学 2023-02-27 Laurent Condat , Daichi Kitahara , Andrés Contreras , Akira Hirabayashi

We present a general framework of designing efficient dynamic approximate algorithms for optimization on undirected graphs. In particular, we develop a technique that, given any problem that admits a certain notion of vertex sparsifiers,…

数据结构与算法 · 计算机科学 2020-05-06 Li Chen , Gramoz Goranci , Monika Henzinger , Richard Peng , Thatchaphol Saranurak

In a setting where $m$ items need to be partitioned among $n$ agents, we evaluate the performance of mechanisms that take as input each agent's \emph{ordinal preferences}, i.e., their ranking of the items from most- to least-preferred. The…

计算机科学与博弈论 · 计算机科学 2026-02-13 Ioannis Caragiannis , Vasilis Gkatzelis , Sebastian Homrighausen

We study the online preemptive scheduling of intervals and jobs (with restarts). Each interval or job has an arrival time, a deadline, a length and a weight. The objective is to maximize the total weight of completed intervals or jobs.…

数据结构与算法 · 计算机科学 2012-04-16 Stanley P. Y. Fung , Chung Keung Poon , Feifeng Zheng