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Inspired by prior work by Tian and by Cao and Xu, this paper presents an efficient computer-aided framework to characterize the fundamental limits of coded caching systems under the constraint of linear coding. The proposed framework…

信息论 · 计算机科学 2025-11-26 Niccolò Brembilla , Yinbin Ma , Pietro Belotti , Federico Malucelli , Daniela Tuninetti

Register allocation is one of the most important problems for modern compilers. With a practically unlimited number of user variables and a small number of CPU registers, assigning variables to registers without conflicts is a complex task.…

机器学习 · 计算机科学 2024-01-24 Chase Cummins , Richard Veras

We perform an experimental study of algorithms for online bipartite matching under the known i.i.d. input model with integral types. In the last decade, there has been substantial effort in designing complex algorithms with the goal of…

数据结构与算法 · 计算机科学 2018-08-16 Allan Borodin , Christodoulos Karavasilis , Denis Pankratov

By leveraging contrastive learning, clustering, and other pretext tasks, unsupervised methods for learning image representations have reached impressive results on standard benchmarks. The result has been a crowded field - many methods with…

计算机视觉与模式识别 · 计算机科学 2022-06-17 Matthew Gwilliam , Abhinav Shrivastava

Relative worst order analysis is a supplement or alternative to competitive analysis which has been shown to give results more in accordance with observed behavior of online algorithms for a range of different online problems. The…

数据结构与算法 · 计算机科学 2015-03-17 Martin R. Ehmsen , Jens S. Kohrt , Kim S. Larsen

Linial's famous color reduction algorithm reduces a given $m$-coloring of a graph with maximum degree $\Delta$ to a $O(\Delta^2\log m)$-coloring, in a single round in the LOCAL model. We show a similar result when nodes are restricted to…

数据结构与算法 · 计算机科学 2020-07-31 Yannic Maus , Tigran Tonoyan

Many circumstances of practical importance have performance or success metrics which exist implicitly---in the eye of the beholder, so to speak. Tuning aspects of such problems requires working without defined metrics and only considering…

机器学习 · 统计学 2019-06-11 Michael McCourt , Ian Dewancker

Over the last decades, hand-crafted feature extractors have been used to encode image visual properties into feature vectors. Recently, data-driven feature learning approaches have been successfully explored as alternatives for producing…

计算机视觉与模式识别 · 计算机科学 2020-11-25 Érico M. Pereira , Ricardo da S. Torres , Jefersson A. dos Santos

The last five years of research on distributed graph algorithms have seen huge leaps of progress, both regarding algorithmic improvements and impossibility results: new strong lower bounds have emerged for many central problems and…

数据结构与算法 · 计算机科学 2025-01-08 Sebastian Brandt , Yannic Maus , Ananth Narayanan , Florian Schager , Jara Uitto

We study the maximization version of the fundamental graph coloring problem. Here the goal is to color the vertices of a k-colorable graph with k colors so that a maximum fraction of edges are properly colored (i.e. their endpoints receive…

计算复杂性 · 计算机科学 2015-05-14 Venkatesan Guruswami , Ali Kemal Sinop

Irregular computations on unstructured data are an important class of problems for parallel programming. Graph coloring is often an important preprocessing step, e.g. as a way to perform dependency analysis for safe parallel execution. The…

分布式、并行与集群计算 · 计算机科学 2015-05-19 Georgios Rokos , Gerard Gorman , Paul H J Kelly

Graph coloring problems are among the most fundamental problems in parallel and distributed computing, and have been studied extensively in both settings. In this context, designing efficient deterministic algorithms for these problems has…

数据结构与算法 · 计算机科学 2024-04-26 Sam Coy , Artur Czumaj , Peter Davies , Gopinath Mishra

Color image segmentation is a very emerging research topic in the area of color image analysis and pattern recognition. Many state-of-the-art algorithms have been developed for this purpose. But, often the segmentation results of these…

计算机视觉与模式识别 · 计算机科学 2017-08-18 Dibya Jyoti Bora

We develop the first parallel graph coloring heuristics with strong theoretical guarantees on work and depth and coloring quality. The key idea is to design a relaxation of the vertex degeneracy order, a well-known graph theory concept, and…

数据结构与算法 · 计算机科学 2020-11-12 Maciej Besta , Armon Carigiet , Zur Vonarburg-Shmaria , Kacper Janda , Lukas Gianinazzi , Torsten Hoefler

We consider online learning with linear models, where the algorithm predicts on sequentially revealed instances (feature vectors), and is compared against the best linear function (comparator) in hindsight. Popular algorithms in this…

机器学习 · 计算机科学 2019-02-21 Michał Kempka , Wojciech Kotłowski , Manfred K. Warmuth

Drawings of non-planar graphs always result in edge crossings. When there are many edges crossing at small angles, it is often difficult to follow these edges, because of the multiple visual paths resulted from the crossings that slow down…

离散数学 · 计算机科学 2014-09-02 Yifan Hu , Lei Shi

In scientific computing, it is common that a mathematical expression can be computed by many different algorithms (sometimes over hundreds), each identifying a specific sequence of library calls. Although mathematically equivalent, those…

性能 · 计算机科学 2021-09-15 Aravind Sankaran , Paolo Bientinesi

We consider fairness in submodular maximization subject to a knapsack constraint, a fundamental problem with various applications in economics, machine learning, and data mining. In the model, we are given a set of ground elements, each…

数据结构与算法 · 计算机科学 2025-05-20 Lijun Li , Chenyang Xu , Liuyi Yang , Ruilong Zhang

We study a colourful generalization of the linear programming feasibility problem, comparing the algorithms introduced by Barany and Onn with new methods. We perform benchmarking on generic and ill-conditioned problems, as well as as…

组合数学 · 数学 2007-05-23 Antoine Deza , Sui Huang , Tamon Stephen , Tamás Terlaky

We consider a decentralized graph coloring model where each vertex only knows its own color and whether some neighbor has the same color as it. The networking community has studied this model extensively due to its applications to channel…

数据结构与算法 · 计算机科学 2019-11-21 Deeparnab Chakrabarty , Paul de Supinski