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Interval scheduling is a basic problem in the theory of algorithms and a classical task in combinatorial optimization. We develop a set of techniques for partitioning and grouping jobs based on their starting and ending times, that enable…

数据结构与算法 · 计算机科学 2023-02-27 Spencer Compton , Slobodan Mitrović , Ronitt Rubinfeld

We establish the first update-time separation between dynamic algorithms against oblivious adversaries and those against adaptive adversaries in natural dynamic graph problems, based on popular fine-grained complexity hypotheses.…

数据结构与算法 · 计算机科学 2025-10-24 Aaron Bernstein , Sayan Bhattacharya , Nick Fischer , Peter Kiss , Thatchaphol Saranurak

In the online metric matching problem, $n$ servers and $n$ requests lie in a metric space. Servers are available upfront, and requests arrive sequentially. An arriving request must be matched immediately and irrevocably to an available…

数据结构与算法 · 计算机科学 2026-04-22 Yingxi Li , Ellen Vitercik , Mingwei Yang

We consider the problems of maintaining an approximate maximum matching and an approximate minimum vertex cover in a dynamic graph undergoing a sequence of edge insertions/deletions. Starting with the seminal work of Onak and Rubinfeld…

数据结构与算法 · 计算机科学 2016-11-21 Sayan Bhattacharya , Deeparnab Chakrabarty , Monika Henzinger

We study the online variant of the Min-Sum Set Cover (MSSC) problem, a generalization of the well-known list update problem. In the MSSC problem, an algorithm has to maintain the time-varying permutation of the list of $n$ elements, and…

数据结构与算法 · 计算机科学 2023-07-03 Mateusz Basiak , Marcin Bienkowski , Agnieszka Tatarczuk

In this paper, we introduce a new online scheduling framework for minimizing total weighted completion time in a general setting. The framework is inspired by the work of Hall et al. [Mathematics of Operations Research, Vol 22(3):513-544,…

数据结构与算法 · 计算机科学 2017-04-25 Samir Khuller , Jingling Li , Pascal Sturmfels , Kevin Sun , Prayaag Venkat

Recent optical flow methods are almost exclusively judged in terms of accuracy, while their robustness is often neglected. Although adversarial attacks offer a useful tool to perform such an analysis, current attacks on optical flow methods…

计算机视觉与模式识别 · 计算机科学 2022-07-19 Jenny Schmalfuss , Philipp Scholze , Andrés Bruhn

In this work, we develop analysis and algorithms for a class of (stochastic) bilevel optimization problems whose lower-level (LL) problem is strongly convex and linearly constrained. Most existing approaches for solving such problems rely…

最优化与控制 · 数学 2025-04-08 Prashant Khanduri , Ioannis Tsaknakis , Yihua Zhang , Sijia Liu , Mingyi Hong

We design an $n^{2+o(1)}$-time algorithm that constructs a cut-equivalent (Gomory-Hu) tree of a simple graph on $n$ nodes. This bound is almost-optimal in terms of $n$, and it improves on the recent $\tilde{O}(n^{2.5})$ bound by the authors…

数据结构与算法 · 计算机科学 2021-06-08 Amir Abboud , Robert Krauthgamer , Ohad Trabelsi

Recent approaches to VO have significantly improved performance by using deep networks to predict optical flow between video frames. However, existing methods still suffer from noisy and inconsistent flow matching, making it difficult to…

计算机视觉与模式识别 · 计算机科学 2025-03-11 Zhaoxing Zhang , Junda Cheng , Gangwei Xu , Xiaoxiang Wang , Can Zhang , Xin Yang

Approximate bi-level optimization (ABLO) consists of (outer-level) optimization problems, involving numerical (inner-level) optimization loops. While ABLO has many applications across deep learning, it suffers from time and memory…

机器学习 · 计算机科学 2021-06-09 Valerii Likhosherstov , Xingyou Song , Krzysztof Choromanski , Jared Davis , Adrian Weller

A new technique of global optimization and its applications in particular to neural networks are presented. The algorithm is also compared to other global optimization algorithms such as Gradient descent (GD), Monte Carlo (MC), Genetic…

分布式、并行与集群计算 · 计算机科学 2020-12-18 Homayoun Valafar , Okan K. Ersoy , Faramarz Valafar

We study a fundamental online job admission problem where jobs with deadlines arrive online over time at their release dates, and the task is to determine a preemptive single-server schedule which maximizes the number of jobs that complete…

数据结构与算法 · 计算机科学 2018-11-21 Lin Chen , Franziska Eberle , Nicole Megow , Kevin Schewior , Cliff Stein

Proximal splitting algorithms are well suited to solving large-scale nonsmooth optimization problems, in particular those arising in machine learning. We propose a new primal-dual algorithm, in which the dual update is randomized;…

最优化与控制 · 数学 2023-03-08 Laurent Condat , Peter Richtárik

Analyzing big data in a highly dynamic environment becomes more and more critical because of the increasingly need for end-to-end processing of this data. Modern data flows are quite complex and there are not efficient, cost-based,…

数据库 · 计算机科学 2015-07-31 Georgia Kougka , Anastasios Gounaris

In this paper we study a single machine scheduling problem with the objective of minimizing the sum of completion times. Each of the given jobs is either short or long. However the processing times are initially hidden to the algorithm, but…

数据结构与算法 · 计算机科学 2021-05-06 Fanny Dufossé , Christoph Dürr , Noël Nadal , Denis Trystram , Óscar C. Vásquez

Neural Algorithmic Reasoning is an emerging area of machine learning which seeks to infuse algorithmic computation in neural networks, typically by training neural models to approximate steps of classical algorithms. In this context, much…

机器学习 · 计算机科学 2023-02-10 Danilo Numeroso , Davide Bacciu , Petar Veličković

We consider the problem of online allocation (matching, budgeted allocations, and assortments) of reusable resources where an adversarial sequence of resource requests is revealed over time and any allocated resource is used/rented for a…

数据结构与算法 · 计算机科学 2024-09-17 Vineet Goyal , Garud Iyengar , Rajan Udwani

Consider a storage area where arriving items are stored temporarily in bounded capacity stacks until their departure. We look into the problem of deciding where to put an arriving item with the objective of minimizing the maximum number of…

数据结构与算法 · 计算机科学 2020-06-11 Martin Olsen , Allan Gross

Motivated by energy management for micro-grids, we study convex optimization problems with uncertainty in the objective function and sequential decision making. To solve these problems, we propose a new framework called ``Online…

最优化与控制 · 数学 2020-08-25 Martijn H. H. Schoot Uiterkamp , Marco E. T. Gerards , Johann L. Hurink