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Given a spatio-temporal network (ST network) where edge properties vary with time, a time-sub-interval minimum spanning tree (TSMST) is a collection of minimum spanning trees of the ST network, where each tree is associated with a time…

数据结构与算法 · 计算机科学 2010-05-24 Viswanath Gunturi , Shashi Shekhar , Arnab Bhattacharya

In this contribution we show that the biggest fragment charge distribution in central collisions of Xe+Sn leading to multifragmentation is an admixture of two asymptotic distributions observed for the lowest and highest bombarding energies.…

核实验 · 物理学 2015-06-17 Diego Gruyer , J. D. Frankland , R. Botet , M. Ploszajczak , E. Bonnet , A. Chbihi , P. Marini

The question of the nature of galaxy clustering and the possible homogeneity of galaxy distribution is one of the fundamental problem of cosmology. It is well established that galaxy structures are characterized, up to a certain scale, by…

天体物理学 · 物理学 2007-05-23 Francesco Sylos Labini , Luciano Pietronero

In the present work we investigate the effects of spatial constraints on the efficiency of task execution in systems underlain by geographical complex networks where the probability of connection decreases with the distance between the…

Recent years have witnessed a surge of biological interest in the minimum spanning tree (MST) problem for its relevance to automatic model construction using the distances between data points. Despite the increasing use of MST algorithms…

定量方法 · 定量生物学 2015-11-02 Momoko Hayamizu , Hiroshi Endo , Kenji Fukumizu

The (constrained) minimization of a ratio of set functions is a problem frequently occurring in clustering and community detection. As these optimization problems are typically NP-hard, one uses convex or spectral relaxations in practice.…

机器学习 · 统计学 2013-06-17 Thomas Bühler , Syama Sundar Rangapuram , Simon Setzer , Matthias Hein

Efficient sampling from constraint manifolds, and thereby generating a diverse set of solutions for feasibility problems, is a fundamental challenge. We consider the case where a problem is factored, that is, the underlying nonlinear…

机器人学 · 计算机科学 2021-03-30 Joaquim Ortiz-Haro , Valentin N. Hartmann , Ozgur S. Oguz , Marc Toussaint

For a large number of random constraint satisfaction problems, such as random k-SAT and random graph and hypergraph coloring, there are very good estimates of the largest constraint density for which solutions exist. Yet, all known…

计算复杂性 · 计算机科学 2007-05-23 Dimitris Achlioptas , Federico Ricci-Tersenghi

Usual formulations of the clustering coefficient can be shown to be insufficient in the task of describing the local topology of very simple networks. Motivated by this, we review some alternatives in order to present an extension, the…

数据分析、统计与概率 · 物理学 2007-05-23 Alexandre H. Abdo , A. P. S. de Moura

Cohesive particles form agglomerates that are usually very porous. Their geometry, particularly their fractal dimension, depends on the agglomeration process (diffusion-limited or ballistic growth by adding single particles or…

软凝聚态物质 · 物理学 2023-12-07 Dietrich E. Wolf , Thorsten Pöschel

Concentrations of matter, such as galaxies and galactic clusters, originated as very small density fluctuations in the early universe. The existence of galaxy clusters and super-clusters suggests that a natural scale for the matter…

宇宙学与河外天体物理 · 物理学 2015-05-18 Bruce N. Miller , Jean-Louis Rouet

We investigate the effect of linear diffusion and interactions with the domain boundary on swarm equilibria by analyzing critical points of the associated energy functional. Through this process we uncover two properties of energy…

偏微分方程分析 · 数学 2019-08-27 Daniel A. Messenger , Razvan C. Fetecau

Given a graph, the sparsest cut problem asks for a subset of vertices whose edge expansion (the normalized cut given by the subset) is minimized. In this paper, we study a generalization of this problem seeking for $ k $ disjoint subsets of…

数据结构与算法 · 计算机科学 2017-02-21 Ramin Javadi , Saleh Ashkboos

In both nature and engineering, loosely packed granular materials are often compacted inside confined geometries. Here, we explore such behaviour in a quasi-two dimensional geometry, where parallel rigid walls provide the confinement. We…

软凝聚态物质 · 物理学 2015-05-29 Benjy Marks , Bjørnar Sandnes , Guillaume Dumazer , Jon Alm Eriksen , Knut Jørgen Måløy

The area of constrained clustering has been extensively explored by researchers and used by practitioners. Constrained clustering formulations exist for popular algorithms such as k-means, mixture models, and spectral clustering but have…

机器学习 · 计算机科学 2019-12-20 Hongjing Zhang , Sugato Basu , Ian Davidson

In materials that undergo martensitic phase transformation, macroscopic loading often leads to the creation and/or rearrangement of elastic domains. This paper considers an example {involving} a single-crystal slab made from two martensite…

偏微分方程分析 · 数学 2022-06-22 Sergio Conti , Robert Kohn , Oleksandr Misiats

The cable-trench problem is defined as a linear combination of the shortest path and the minimum spanning tree problem. In particular, the goal is to find a spanning tree that simultaneously minimizes its total length and the total path…

最优化与控制 · 数学 2023-12-22 Lara Löhken , Michael Stiglmayr

We investigate fragmentation processes with a steady input of fragments. We find that the size distribution approaches a stationary form which exhibits a power law divergence in the small size limit, P(x) ~ x^{-3}. This algebraic behavior…

统计力学 · 物理学 2009-10-31 E. Ben-Naim , P. L. Krapivsky

The goal of this paper is to set a constraint programming framework to solve lot-sizing problems. More specifically, we consider a single-item lot-sizing problem with time-varying lower and upper bounds for production and inventory. The…

最优化与控制 · 数学 2019-07-05 Grigori German , Hadrien Cambazard , Jean-Philippe Gayon , Bernard Penz

The inference of minimum spanning arborescences within a set of objects is a general problem which translates into numerous application-specific unsupervised learning tasks. We introduce a unified and generic structure called edit…

计算机视觉与模式识别 · 计算机科学 2021-08-02 Lucas Gnecco , Nicolas Boria , Sébastien Bougleux , Florian Yger , David B. Blumenthal