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The Random Walks (RW) algorithm is one of the most e - cient and easy-to-use probabilistic segmentation methods. By combining contrast terms with prior terms, it provides accurate segmentations of medical images in a fully automated manner.…

计算机视觉与模式识别 · 计算机科学 2013-06-06 Pierre-Yves Baudin , Danny Goodman , Puneet Kumar , Noura Azzabou , Pierre G. Carlier , Nikos Paragios , M. Pawan Kumar

Spectral clustering is a widely used method for community detection in networks. We focus on a semi-supervised community detection scenario in the Partially Labeled Stochastic Block Model (PL-SBM) with two balanced communities, where a…

统计理论 · 数学 2024-12-16 Nicolas Fraiman , Michael Nisenzon

Communities are a common and widely studied structure in networks, typically under the assumption that the network is fully and correctly observed. In practice, network data are often collected by querying nodes about their connections. In…

统计方法学 · 统计学 2021-03-22 Tianxi Li , Elizaveta Levina , Ji Zhu

Several state-of-the-art neural graph embedding methods are based on short random walks (stochastic processes) because of their ease of computation, simplicity in capturing complex local graph properties, scalability, and interpretibility.…

机器学习 · 计算机科学 2020-07-30 Charu Sharma , Jatin Chauhan , Manohar Kaul

With the increasing relevance of large networks in important areas such as the study of contact networks for spread of disease, or social networks for their impact on geopolitics, it has become necessary to study machine learning tools that…

社会与信息网络 · 计算机科学 2021-11-10 Aman Barot , Shankar Bhamidi , Souvik Dhara

We study the problem of community detection (CD) on Euclidean random geometric graphs where each vertex has two latent variables: a binary community label and a $\mathbb{R}^d$ valued location label which forms the support of a Poisson point…

概率论 · 数学 2020-03-20 Emmanuel Abbe , Francois Baccelli , Abishek Sankararaman

Modularity maximization has been one of the most widely used approaches in the last decade for discovering community structure in networks of practical interest in biology, computing, social science, statistical mechanics, and more.…

物理与社会 · 物理学 2017-11-10 David Mehrle , Amy Strosser , Anthony Harkin

The hierarchical Dirichlet process (HDP) has become an important Bayesian nonparametric model for grouped data, such as document collections. The HDP is used to construct a flexible mixed-membership model where the number of components is…

机器学习 · 统计学 2012-01-10 Chong Wang , David M. Blei

In this paper, we consider networks consisting of a finite number of non-overlapping communities. To extract these communities, the interaction between pairs of nodes may be sampled from a large available data set, which allows a given node…

社会与信息网络 · 计算机科学 2014-02-20 Se-Young Yun , Alexandre Proutiere

Herein we present a novel approach of identifying community structures in complex networks. We propose the usage of the Random Walk Centrality (RWC), first introduced by Noh and Rieger [Phys. Rev. Lett. 92.11 (2004): 118701]. We adapt this…

物理与社会 · 物理学 2023-09-12 Ashwat Jain , P. Manimaran

The analysis of multilayer networks is among the most active areas of network science, and there are now several methods to detect dense "communities" of nodes in multilayer networks. One way to define a community is as a set of nodes that…

社会与信息网络 · 计算机科学 2016-05-24 Lucas G. S. Jeub , Michael W. Mahoney , Peter J. Mucha , Mason A. Porter

Respondent driven sampling (RDS) is a method often used to estimate population properties (e.g. sexual risk behavior) in hard-to-reach populations. It combines an effective modified snowball sampling methodology with an estimation procedure…

统计方法学 · 统计学 2013-08-19 Jens Malmros , Naoki Masuda , Tom Britton

The Bayesian approach to inference stands out for naturally allowing borrowing information across heterogeneous populations, with different samples possibly sharing the same distribution. A popular Bayesian nonparametric model for…

统计方法学 · 统计学 2022-01-25 Antonio Lijoi , Igor Prünster , Giovanni Rebaudo

Social media users and microbloggers post about a wide variety of (off-line) collective social activities as they participate in them, ranging from concerts and sporting events to political rallies and civil protests. In this context,…

社会与信息网络 · 计算机科学 2017-01-12 Martin Jankowiak , Manuel Gomez-Rodriguez

We consider the problem of community detection from observed interactions between individuals, in the context where multiple types of interaction are possible. We use labelled stochastic block models to represent the observed data, where…

社会与信息网络 · 计算机科学 2012-09-14 Simon Heimlicher , Marc Lelarge , Laurent Massoulié

We propose a new algorithm to detect the community structure in a network that utilizes both the network structure and vertex attribute data. Suppose we have the network structure together with the vertex attribute data, that is, the…

社会与信息网络 · 计算机科学 2016-11-23 Shun Kataoka , Takuto Kobayashi , Muneki Yasuda , Kazuyuki Tanaka

The graphon (W-graph), including the stochastic block model as a special case, has been widely used in modeling and analyzing network data. This random graph model is well-characterized by its graphon function, and estimation of the graphon…

统计方法学 · 统计学 2021-09-07 Zhanhao Peng , Qing Zhou

We consider a decentralized learning setting in which data is distributed over nodes in a graph. The goal is to learn a global model on the distributed data without involving any central entity that needs to be trusted. While gossip-based…

信息论 · 计算机科学 2021-03-17 Ghadir Ayache , Salim El Rouayheb

Detecting communities or the modular structure of real-life networks (e.g. a social network or a product purchase network) is an important task because the way a network functions is often determined by its communities. Traditional…

社会与信息网络 · 计算机科学 2020-06-30 Swarup Chattopadhyay , Debasis Ganguly

We introduce the nested stochastic block model (NSBM) to cluster a collection of networks while simultaneously detecting communities within each network. NSBM has several appealing features including the ability to work on unlabeled…

统计方法学 · 统计学 2025-03-17 Nathaniel Josephs , Arash A. Amini , Marina Paez , Lizhen Lin