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Upper bounds are derived on the total variation distance between the invariant distributions of two stochastic matrices differing on a subset W of rows. Such bounds depend on three parameters: the mixing time and the minimal expected…

概率论 · 数学 2015-05-19 Giacomo Como , Fabio Fagnani

In this demo paper, we consider the network slice placement optimization problem and give some insights into a fast heuristic algorithm tailored to placement in large scale networks. We consider an online optimization scenario with multiple…

网络与互联网体系结构 · 计算机科学 2020-10-19 Jose Jurandir Alves Esteves , Amina Boubendir , Fabice Guillemin , Pierre Sens

Shortest paths in complex networks play key roles in many applications. Examples include routing packets in a computer network, routing traffic on a transportation network, and inferring semantic distances between concepts on the World Wide…

社会与信息网络 · 计算机科学 2021-04-09 Benjamin A. Miller , Zohair Shafi , Wheeler Ruml , Yevgeniy Vorobeychik , Tina Eliassi-Rad , Scott Alfeld

We generalize the setting of online clustering of bandits by allowing non-uniform distribution over user frequencies. A more efficient algorithm is proposed with simple set structures to represent clusters. We prove a regret bound for the…

机器学习 · 计算机科学 2019-07-03 Shuai Li , Wei Chen , Shuai Li , Kwong-Sak Leung

In 2005 Li et al. gave a phi-competitive deterministic online algorithm for scheduling of packets with agreeable deadlines with a very interesting analysis. This is known to be optimal due to a lower bound by Hajek. We claim that the…

数据结构与算法 · 计算机科学 2010-02-03 Łukasz Jeż

We present a new method to propagate lower bounds on conditional probability distributions in conventional Bayesian networks. Our method guarantees to provide outer approximations of the exact lower bounds. A key advantage is that we can…

人工智能 · 计算机科学 2012-05-14 Daniel Andrade , Bernhard Sick

Kahn and Kim (J. Comput. Sci., 1995) have shown that for a finite poset $P$, the entropy of the incomparability graph of $P$ (normalized by multiplying by the order of $P$) and the base-$2$ logarithm of the number of linear extensions of…

组合数学 · 数学 2014-12-04 Samuel Fiorini , Selim Rexhep

A classic 1993 paper by Alth\H{o}fer et al. proved a tight reduction from spanners, emulators, and distance oracles to the extremal function $\gamma$ of high-girth graphs. This paper initiated a large body of work in network design, in…

数据结构与算法 · 计算机科学 2023-08-16 Greg Bodwin , Gary Hoppenworth , Ohad Trabelsi

Structural network embedding is a crucial step in enabling effective downstream tasks for complex systems that aims to project a network into a lower-dimensional space while preserving similarities among nodes. We introduce a simple and…

社会与信息网络 · 计算机科学 2024-12-23 Giuseppe Squillace , Mirco Tribastone , Max Tschaikowski , Andrea Vandin

We study the worst-case communication complexity of distributed algorithms computing a path problem based on stationary distributions of random walks in a network $G$ with the caveat that $G$ is also the communication network. The problem…

数据结构与算法 · 计算机科学 2008-10-30 Rahul Sami , Andy Twigg

We study partition of networks into basins of attraction based on a steepest ascent search for the node of highest degree. Each node is associated with, or "attracted" to its neighbor of maximal degree, as long as the degree is increasing.…

无序系统与神经网络 · 物理学 2008-12-30 Shai Carmi , P. L. Krapivsky , Daniel ben-Avraham

Attributed graphs model real networks by enriching their nodes with attributes accounting for properties. Several techniques have been proposed for partitioning these graphs into clusters that are homogeneous with respect to both semantic…

社会与信息网络 · 计算机科学 2017-08-29 Alessandro Baroni , Alessio Conte , Maurizio Patrignani , Salvatore Ruggieri

The behavior of users in social networks is often observed to be affected by the actions of their friends. Bhawalkar et al. \cite{bhawalkar-icalp} introduced a formal mathematical model for user engagement in social networks where each…

社会与信息网络 · 计算机科学 2013-04-25 Rajesh Chitnis , Fedor V. Fomin , Petr A. Golovach

In this paper, we present an approximation of the matching coverage on large bipartite graphs, for {\em local} online matching algorithms based on the sole knowledge of the remaining degree of the nodes of the graph at hand. This…

概率论 · 数学 2021-05-11 Mohamed Habib Aliou Diallo Aoudi , Pascal Moyal , Vincent Robin

We introduce an algorithm for computing closure systems derived from a family of implications on a set. Semilattices presentations are explored and used in conjunction with the algorithm to compute various types of lattices freely generated…

组合数学 · 数学 2010-04-26 Jean Yves Semegni , Marcel Wild

In this paper, we study the dualization in distributive lattices, a generalization of the well-known hypergraph dualization problem. We in particular propose equivalent formulations of the problem in terms of graphs, hypergraphs, and…

离散数学 · 计算机科学 2020-05-26 Oscar Defrain , Lhouari Nourine , Takeaki Uno

The advice complexity of an online problem is a measure of how much knowledge of the future an online algorithm needs in order to achieve a certain competitive ratio. Using advice complexity, we define the first online complexity class,…

数据结构与算法 · 计算机科学 2016-05-26 Joan Boyar , Lene M. Favrholdt , Christian Kudahl , Jesper W. Mikkelsen

We consider partitions of a point set into two parts, and the lengths of the minimum spanning trees of the original set and of the two parts. If $w(P)$ denotes the length of a minimum spanning tree of $P$, we show that every set $P$ of $n…

计算几何 · 计算机科学 2024-01-02 Adrian Dumitrescu , János Pach , Géza Tóth

We present near-optimal algorithms for detecting small vertex cuts in the CONGEST model of distributed computing. Despite extensive research in this area, our understanding of the vertex connectivity of a graph is still incomplete,…

数据结构与算法 · 计算机科学 2023-06-21 Merav Parter , Asaf Petruschka

A matching algorithm for the identification of backbones in percolation problems is introduced. Using this procedure, percolation backbones are studied in two- to five-dimensional systems containing 1.7x10^7 sites, two orders of magnitude…

统计力学 · 物理学 2015-06-25 Cristian F. Moukarzel
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