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Graph colouring is a combinatorial optimisation problem with applications in several important domains, including sports scheduling, cartography, street map navigation, and timetabling. It is also of significant theoretical interest and a…

历史与综述 · 数学 2026-02-23 Rhyd Lewis

Graph burning is a deterministic, discrete-time process that models how influence or contagion spreads in a graph. Associated to each graph is its burning number, which is a parameter that quantifies how quickly the influence spreads. We…

组合数学 · 数学 2020-09-23 Anthony Bonato

Graph signal processing is a framework to handle graph structured data. The fundamental concept is graph shift operator, giving rise to the graph Fourier transform. While the graph Fourier transform is a centralized procedure, distributed…

信号处理 · 电气工程与系统科学 2022-06-10 Feng Ji , Yiqi Lu , Wee Peng Tay , Edwin Chong

We demonstrate a physics-aware transformer for feature-based data fusion from cameras with diverse resolution, color spaces, focal planes, focal lengths, and exposure. We also demonstrate a scalable solution for synthetic training data…

计算机视觉与模式识别 · 计算机科学 2022-07-07 Qian Huang , Minghao Hu , David Jones Brady

This paper considers parallel machine scheduling with incompatibilities between jobs. The jobs form a graph and no two jobs connected by an edge are allowed to be assigned to the same machine. In particular, we study the case where the…

计算复杂性 · 计算机科学 2021-03-16 Klaus Jansen , Alexandra Lassota , Marten Maack , Tytus Pikies

Multiplication of a sparse matrix with another (dense or sparse) matrix is a fundamental operation that captures the computational patterns of many data science applications, including but not limited to graph algorithms, sparsely connected…

数值分析 · 数学 2025-08-07 Aydın Buluç

Over the years, many multiprocessor locking protocols have been designed and analyzed. However, the performance of these protocols highly depends on how the tasks are partitioned and prioritized and how the resources are shared locally and…

操作系统 · 计算机科学 2018-09-11 Jian-Jia Chen , Georg von der Brüggen , Junjie Shi , Niklas Uete

Organizations are starting to realize of the combined power of data and data-driven algorithmic models to gain insights, situational awareness, and advance their mission. A common challenge to gaining insights is connecting inherently…

计算机视觉与模式识别 · 计算机科学 2020-06-05 Benjamin Ortiz , David Lindenbaum , Joseph Nassar , Brendan Lammers , John Wahl , Robert Mangum , Margaret Smith , Marc Bosch

In order to improve system performance efficiently, a number of systems choose to equip multi-core and many-core processors (such as GPUs). Due to their discrete memory these heterogeneous architectures comprise a distributed system within…

分布式、并行与集群计算 · 计算机科学 2015-02-27 Hao Wu , Daniel Lohmann , Wolfgang Schröder-Preikschat

Collaborative Data Sharing raises a fundamental issue in distributed systems. Several strategies have been proposed for making shared data consistent between peers in such a way that the shared part of their local data become equal. Most of…

数据库 · 计算机科学 2021-12-02 Masato Takeichi

In this paper we address the rotation synchronization problem, where the objective is to recover absolute rotations starting from pairwise ones, where the unknowns and the measures are represented as nodes and edges of a graph,…

计算机视觉与模式识别 · 计算机科学 2023-05-10 Gk Tejus , Giacomo Zara , Paolo Rota , Andrea Fusiello , Elisa Ricci , Federica Arrigoni

We introduce techniques to analyze unitary operations in terms of quadratic form expansions, a form similar to a sum over paths in the computational basis when the phase contributed by each path is described by a quadratic form over…

量子物理 · 物理学 2013-12-05 Niel de Beaudrap , Vincent Danos , Elham Kashefi , Martin Roetteler

In this paper, we address a class of specially structured problems that include speed planning, for mobile robots and robotic manipulators, and dynamic programming. We develop two new numerical procedures, that apply to the general case and…

最优化与控制 · 数学 2019-10-21 Luca Consolini , Mattia Laurini , Marco Locatelli

We tackle the problem of simultaneous transformations of networks represented as graphs. Roughly speaking, one may distinguish two kinds of simultaneous or parallel rewrite relations over complex structures such as graphs: (i) those which…

形式语言与自动机理论 · 计算机科学 2017-01-25 Rachid Echahed , Aude Maignan

Modern audience measurement requires combining observations from disparate panel datasets. Connecting and relating such panel datasets is a process termed panel fusion. This paper formalizes the panel fusion problem and presents a novel…

应用统计 · 统计学 2019-07-15 Swapnil Shinde , Jukka Ranta , Paul Deitrick , Matthew Malloy

We present formulations and numerical algorithms for solving diffeomorphic shape matching problems. We formulate shape matching as a variational problem governed by a dynamical system that models the flow of diffeomorphism $f_t \in…

最优化与控制 · 数学 2023-07-20 Andreas Mang , Jiwen He , Robert Azencott

What is called "numerical reproducibility" is the problem of getting the same result when the scientific computation is run several times, either on the same machine or on different machines, with different types and numbers of processing…

数值分析 · 计算机科学 2014-05-20 Nathalie Revol , Philippe Théveny

Computing maximum independent sets in graphs is an important problem in computer science. In this paper, we develop an evolutionary algorithm to tackle the problem. The core innovations of the algorithm are very natural combine operations…

数据结构与算法 · 计算机科学 2015-02-06 Sebastian Lamm , Peter Sanders , Christian Schulz

Combinatorial optimization problems are pervasive across science and industry. Modern deep learning tools are poised to solve these problems at unprecedented scales, but a unifying framework that incorporates insights from statistical…

机器学习 · 计算机科学 2022-04-26 Martin J. A. Schuetz , J. Kyle Brubaker , Helmut G. Katzgraber

Applied research in graph algorithms and combinatorial structures needs comprehensive and versatile software libraries. However, the design and the implementation of flexible libraries are challenging activities. Among the other problems…

软件工程 · 计算机科学 2007-05-23 Maurizio Pizzonia , Giuseppe Di Battista
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