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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…

Computation · Statistics 2020-03-13 Duy Q. Vu , David R. Hunter , Michael Schweinberger

This paper presents a novel algorithm, based upon the dependent Dirichlet process mixture model (DDPMM), for clustering batch-sequential data containing an unknown number of evolving clusters. The algorithm is derived via a low-variance…

Machine Learning · Computer Science 2013-11-04 Trevor Campbell , Miao Liu , Brian Kulis , Jonathan P. How , Lawrence Carin

We present a new method of identifying a specific module in a dynamic network, possibly with feedback loops. Assuming known topology, we express the dynamics by an acyclic network composed of two blocks where the first block accounts for…

Systems and Control · Computer Science 2017-05-04 Niklas Everitt , Giulio Bottegal , Håkan Hjalmarsson

We propose a robust universal approach to identify multiple dynamical states, including stationary and travelling chimera states based on an adaptive coherence measure. Our approach allows automatic disambiguation of synchronized clusters,…

Adaptation and Self-Organizing Systems · Physics 2021-11-24 Olesia Dogonasheva , Dmitry Kasatkin , Boris Gutkin , Denis Zakharov

The identification of local modules in dynamic networks with known topology has recently been addressed by formulating conditions for arriving at consistent estimates of the module dynamics, typically under the assumption of having…

Systems and Control · Computer Science 2019-03-26 Paul M. J. Van den Hof , Karthik R. Ramaswamy , Arne G. Dankers , Giulio Bottegal

Complex networks of real-world systems are believed to be controlled by common phenomena, producing structures far from regular or random. Clustering, community structure and assortative mixing by degree are perhaps among most prominent…

Physics and Society · Physics 2012-02-16 Lovro Šubelj , Marko Bajec

Abrupt and rapid high-amplitude changes in a dynamical system's states known as extreme event appear in many processes occurring in nature, such as drastic climate patterns, rogue waves, or avalanches. These events often entail catastrophic…

Fluid Dynamics · Physics 2023-06-29 Urszula Golyska , Nguyen Anh Khoa Doan

Probabilistic clustering models (or equivalently, mixture models) are basic building blocks in countless statistical models and involve latent random variables over discrete spaces. For these models, posterior inference methods can be…

Machine Learning · Statistics 2020-06-24 Ari Pakman , Yueqi Wang , Catalin Mitelut , JinHyung Lee , Liam Paninski

Clustering of time series based on their underlying dynamics is keeping attracting researchers due to its impacts on assisting complex system modelling. Most current time series clustering methods handle only scalar time series, treat them…

Machine Learning · Statistics 2025-05-21 Zuogong Yue , Xinyi Wang , Victor Solo

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…

Data Analysis, Statistics and Probability · Physics 2011-11-10 R. Guimera , M. Sales-Pardo , L. A. N. Amaral

A novel technique to identify and split clusters created by multiple charged particles in the ATLAS pixel detector using a set of artificial neural networks is presented. Such merged clusters are a common feature of tracks originating from…

High Energy Physics - Experiment · Physics 2014-09-23 ATLAS collaboration

A novel algorithm for real-time modal identification in linear vibrating systems with complex modes is introduced, utilizing a combination of first order eigen-perturbation and second order separation techniques. In practical settings,…

Systems and Control · Electrical Eng. & Systems 2023-04-27 Satyam Panda , Sanghamitra Das , Basuraj Bhowmik , Budhaditya Hazra

A model of clustering dynamics is proposed for a population of spatially distributed active rotators. A transition from excitable to oscillatory dynamics is induced by the increase of the local density of active rotators. It is interpreted…

Pattern Formation and Solitons · Physics 2015-06-12 Hidetsugu Sakaguchi , Satomi Maeyama

We focus on spectral clustering of unlabeled graphs and review some results on clustering methods which achieve weak or strong consistent identification in data generated by such models. We also present a new algorithm which appears to…

Statistics Theory · Mathematics 2015-08-11 Sharmodeep Bhattacharyya , Peter J. Bickel

We describe techniques for the robust detection of community structure in some classes of time-dependent networks. Specifically, we consider the use of statistical null models for facilitating the principled identification of structural…

Data Analysis, Statistics and Probability · Physics 2013-04-16 Danielle S. Bassett , Mason A. Porter , Nicholas F. Wymbs , Scott T. Grafton , Jean M. Carlson , Peter J. Mucha

Biclustering is a class of techniques that simultaneously clusters the rows and columns of a matrix to sort heterogeneous data into homogeneous blocks. Although many algorithms have been proposed to find biclusters, existing methods suffer…

Machine Learning · Statistics 2020-02-11 Michelle N. Ngo , Dustin S. Pluta , Alexander N. Ngo , Babak Shahbaba

Network of nonlinear dynamical elements often show clustering of synchronization by chaotic instability. Relevance of the clustering to ecological, immune, neural, and cellular networks is discussed, with the emphasis of partially ordered…

chao-dyn · Physics 2009-10-22 Kunihiko Kaneko

This paper presents a batch-wise density-based clustering approach for local outlier detection in massive-scale datasets. Unlike the well-known traditional algorithms, which assume that all the data is memory-resident, our proposed method…

Machine Learning · Computer Science 2021-07-06 Sayyed Ahmad Naghavi Nozad , Maryam Amir Haeri , Gianluigi Folino

DBSCAN and OPTICS are powerful algorithms for identifying clusters of points in domains where few assumptions can be made about the structure of the data. In this paper, we leverage these strengths and introduce a new algorithm, LINSCAN,…

Machine Learning · Computer Science 2026-04-15 Andrew Dennehy , Xiaoyu Zou , Shabnam J. Semnani , Yuri Fialko , Alexander Cloninger

The problem of finding clusters in complex networks has been extensively studied by mathematicians, computer scientists and, more recently, by physicists. Many of the existing algorithms partition a network into clear clusters, without…

Disordered Systems and Neural Networks · Physics 2009-11-11 David Gfeller , Jean-Cédric Chappelier , Paolo De Los Rios