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We derive an efficient method to perform clustering of nodes in Gaussian graphical models directly from sample data. Nodes are clustered based on the similarity of their network neighborhoods, with edge weights defined by partial…

Machine Learning · Computer Science 2019-10-08 Keith Dillon

In this brief paper, we go through the theoretical steps of the spectral clustering on quantum computers by employing the phase estimation and the amplitude amplification algorithms. We discuss circuit designs for each step and show how to…

Quantum Physics · Physics 2017-07-24 Ammar Daskin

This paper deals with the problem of clustering data returned by a radar sensor network that monitors a region where multiple moving targets are present. The network is formed by nodes with limited functionalities that transmit the…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Linjie Yan , Pia Addabbo , Nicomino Fiscante , Carmine Clemente , Chengpeng Hao , Gaetano Giunta , Danilo Orlando

It was recently shown that the $T_{90}-H_{32}$ distributions of gamma-ray bursts from CGRO/BATSE and Fermi/GBM are well described by a mixture of only two skewed components, making the presumed third, intermediate class unnecesary. The…

High Energy Astrophysical Phenomena · Physics 2020-03-03 Mariusz Tarnopolski

Biclustering is a problem in machine learning and data mining that seeks to group together rows and columns of a dataset according to certain criteria. In this work, we highlight the natural relation that quantum computing models like boson…

Quantum Physics · Physics 2024-05-30 Ajinkya Borle , Ameya Bhave

Clusters of galaxies have not yet been detected at gamma-ray frequencies; however, the recently launched Fermi Gamma-ray Space Telescope, formerly known as GLAST, could provide the first detections in the near future. Clusters are expected…

Astrophysics · Physics 2009-07-14 Tesla E. Jeltema , John Kehayias , Stefano Profumo

This paper develops a novel hybrid approach for estimating the mixture model of $t$-factor analyzers (MtFA) that employs multivariate $t$-distribution and factor model to cluster and characterize grouped data. The traditional estimation…

Methodology · Statistics 2025-08-06 Kazeem Kareem , Fan Dai

Accurate quantitative mapping of gamma-ray sources is critical for applications ranging from radiological emergency response and environmental monitoring to nuclear security and deep space exploration. Here, we show that integrating…

Instrumentation and Detectors · Physics 2026-02-03 David Breitenmoser , Alberto Stabilini , Malgorzata Magdalena Kasprzak , Sabine Mayer

Consensus clustering fuses diverse basic partitions (i.e., clustering results obtained from conventional clustering methods) into an integrated one, which has attracted increasing attention in both academic and industrial areas due to its…

Machine Learning · Computer Science 2019-06-04 Hongfu Liu , Zhiqiang Tao , Zhengming Ding

A new clustering accuracy measure is proposed to determine the unknown number of clusters and to assess the quality of clustering of a data set given in any dimensional space. Our validity index applies the classical nonparametric…

Methodology · Statistics 2022-02-15 Soumita Modak

The proliferation of high-dimensional data from sources such as social media, sensor networks, and online platforms has created new challenges for clustering algorithms. Multi-view clustering, which integrates complementary information from…

Machine Learning · Computer Science 2026-01-23 Chakib Fettal , Lazhar Labiod , Mohamed Nadif

Constructing the adjacency graph is fundamental to graph-based clustering. Graph learning in kernel space has shown impressive performance on a number of benchmark data sets. However, its performance is largely determined by the chosen…

Machine Learning · Computer Science 2019-03-15 Zhao Kang , Liangjian Wen , Wenyu Chen , Zenglin Xu

Clustering of data sets is a standard problem in many areas of science and engineering. The method of spectral clustering is based on embedding the data set using a kernel function, and using the top eigenvectors of the normalized Laplacian…

Statistics Theory · Mathematics 2015-04-08 Geoffrey Schiebinger , Martin J. Wainwright , Bin Yu

The number of classes of gamma-ray bursts (GRBs), besides the well-established short and long ones, remains a debatable issue. It was already shown, however, that when invoking skewed distributions, the $\log T_{90}$ and $\log T_{90} - \log…

High Energy Astrophysical Phenomena · Physics 2020-01-08 Mariusz Tarnopolski

The support vector clustering algorithm is a well-known clustering algorithm based on support vector machines using Gaussian or polynomial kernels. The classical support vector clustering algorithm works well in general, but its performance…

Machine Learning · Computer Science 2020-05-27 Arit Kumar Bishwas , Ashish Mani , Vasile Palade

We examine the recent claims that cosmic gamma-ray bursts are associated with either radio-quiet quasars or Abell clusters. These associations were based on positional coincidences between cataloged quasars or Abell clusters, and selected…

Astrophysics · Physics 2009-10-31 K. Hurley , D. H. Hartmann , C. Kouveliotou , R. M. Kippen , J. Laros , T. Cline , M. Boer

This paper studies the problem of learning clusters which are consistently present in different (continuously valued) representations of observed data. Our setup differs slightly from the standard approach of (co-) clustering as we use the…

Machine Learning · Statistics 2010-09-21 David R. Hardoon , Kristiaan Pelcksman

The evidence for spectral features in gamma-ray bursts is summarized. As a guide for evaluating the evidence, the properties of gamma-ray detectors and the methods of analyzing gamma-ray spectra are reviewed. In the 1980's, observations…

Astrophysics · Physics 2007-05-23 Michael S. Briggs

The use of a finite mixture of normal distributions in model-based clustering allows to capture non-Gaussian data clusters. However, identifying the clusters from the normal components is challenging and in general either achieved by…

Methodology · Statistics 2016-06-21 Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter , Bettina Grün

Clustering is one of the main tasks in exploratory data analysis and descriptive statistics where the main objective is partitioning observations in groups. Clustering has a broad range of application in varied domains like climate,…

Databases · Computer Science 2012-03-20 Saptarsi Goswami , Amlan Chakrabarti