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We consider the problem of diagnosing faults in a system represented by a Bayesian network, where diagnosis corresponds to recovering the most likely state of unobserved nodes given the outcomes of tests (observed nodes). Finding an optimal…

人工智能 · 计算机科学 2012-07-09 Alice X. Zheng , Irina Rish , Alina Beygelzimer

Modularity is one of the most prominent properties of real-world complex networks. Here, we address the issue of module identification in two important classes of networks: bipartite networks and directed unipartite networks. Nodes in…

数据分析、统计与概率 · 物理学 2011-11-10 R. Guimera , M. Sales-Pardo , L. A. N. Amaral

Community detection, which focuses on clustering nodes or detecting communities in (mostly) a single network, is a problem of considerable practical interest and has received a great deal of attention in the research community. While being…

机器学习 · 统计学 2017-11-07 Soumendu Sundar Mukherjee , Purnamrita Sarkar , Lizhen Lin

We develop an algorithm that finds the consensus of many different clustering solutions of a graph. We formulate the problem as a median set partitioning problem and propose a greedy optimization technique. Unlike other approaches that find…

Bipartite data is common in data engineering and brings unique challenges, particularly when it comes to clustering tasks that impose on strong structural assumptions. This work presents an unsupervised method for assessing similarity in…

机器学习 · 计算机科学 2017-02-17 Aaron Gerow , Mingyang Zhou , Stan Matwin , Feng Shi

A novel and detailed convergence analysis is presented for a greedy algorithm that was previously introduced for operator reconstruction problems in the field of quantum mechanics. This algorithm is based on an offline/online decomposition…

最优化与控制 · 数学 2020-11-02 S Buchwald , G Ciaramella , Julien Salomon

Data clustering, including problems such as finding network communities, can be put into a systematic framework by means of a Bayesian approach. The application of Bayesian approaches to real problems can be, however, quite challenging. In…

数据分析、统计与概率 · 物理学 2008-09-28 Alexei Vazquez

We study the influence minimization problem: given a graph $G$ and a seed set $S$, blocking at most $b$ nodes or $b$ edges such that the influence spread of the seed set is minimized. This is a pivotal yet underexplored aspect of network…

数据库 · 计算机科学 2024-12-06 Jiadong Xie , Fan Zhang , Kai Wang , Jialu Liu , Xuemin Lin , Wenjie Zhang

In this paper, we first study the fundamental limit of clustering networks when a multi-layer network is present. Under the mixture multi-layer stochastic block model (MMSBM), we show that the minimax optimal network clustering error rate,…

统计理论 · 数学 2023-11-28 Zhongyuan Lyu , Ting Li , Dong Xia

The problem of clustering large complex networks plays a key role in several scientific fields ranging from Biology to Sociology and Computer Science. Many approaches to clustering complex networks are based on the idea of maximizing a…

社会与信息网络 · 计算机科学 2013-10-17 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

We propose a generalized stochastic block model to explore the mesoscopic structures in signed networks by grouping vertices that exhibit similar positive and negative connection profiles into the same cluster. In this model, the group…

社会与信息网络 · 计算机科学 2015-06-17 Jonathan Q. Jiang

Link prediction problem has increasingly become prominent in many domains such as social network analyses, bioinformatics experiments, transportation networks, criminal investigations and so forth. A variety of techniques has been developed…

人工智能 · 计算机科学 2023-05-18 Safiye Ghasemi , Amin Zarei

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

Recent years have witnessed a widespread increase of interest in network representation learning (NRL). By far most research efforts have focused on NRL for homogeneous networks like social networks where vertices are of the same type, or…

社会与信息网络 · 计算机科学 2020-03-25 Ming Gao , Xiangnan He , Leihui Chen , Tingting Liu , Jinglin Zhang , Aoying Zhou

In this paper, we study different discrete data clustering methods, which use the Model-Based Clustering (MBC) framework with the Multinomial distribution. Our study comprises several relevant issues, such as initialization, model…

机器学习 · 计算机科学 2015-09-08 Md. Abul Hasnat , Julien Velcin , Stéphane Bonnevay , Julien Jacques

In many modern applications, there is interest in analyzing enormous data sets that cannot be easily moved across computers or loaded into memory on a single computer. In such settings, it is very common to be interested in clustering.…

统计计算 · 统计学 2020-05-15 Hanyu Song , Yingjian Wang , David B. Dunson

Latent class models are widely used for identifying unobserved subgroups from multivariate categorical data in social sciences, with binary data as a particularly popular example. However, accurately recovering individual latent class…

统计方法学 · 统计学 2026-02-25 Zhongyuan Lyu , Yuqi Gu

Bipartite networks serve as highly suitable models to represent systems involving interactions between two distinct types of entities, such as online dating platforms, job search services, or ecommerce websites. These models can be…

社会与信息网络 · 计算机科学 2025-02-11 Şükrü Demir İnan Özer , Günce Keziban Orman , Vincent Labatut

We describe a network clustering framework, based on finite mixture models, that can be applied to discrete-valued networks with hundreds of thousands of nodes and billions of edge variables. Relative to other recent model-based clustering…

统计计算 · 统计学 2020-03-13 Duy Q. Vu , David R. Hunter , Michael Schweinberger

Finding a maximum-weight matching is a classical and well-studied problem in computer science, solvable in cubic time in general graphs. We consider the specialization called assignment problem where the input is a bipartite graph, and…

数据结构与算法 · 计算机科学 2024-10-15 Romaric Duvignau , Noël Gillet , Ralf Klasing