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Clustering is an important tool to describe gamma-ray bursts (GRBs). We analyzed the Final BATSE Catalog using Gaussian-mixture-models-based clustering methods for six variables (durations, peak flux, total fluence and spectral hardness…

High Energy Astrophysical Phenomena · Physics 2019-06-05 B. G. Tóth , I. I. Rácz , I. Horváth

Clustering methods are an important tool to enumerate and describe the different coherent kinds of Gamma Ray Bursts (GRBs). But their performance can be affected by a number of factors such as the choice of clustering algorithm and inherent…

High Energy Astrophysical Phenomena · Physics 2017-06-13 Souradeep Chattopadhyay , Ranjan Maitra

Aims. An attempt to classify gamma-ray bursts (GRBs) with a low level of supervision using the state-of-the-start approaches stemming from graph theory was undertaken. Methods. Graph-based classification methods, relying on different…

High Energy Astrophysical Phenomena · Physics 2021-09-28 Mariusz Tarnopolski

Determining the kinds of gamma-ray bursts (GRBs) has been of interest to astronomers for many years. We analyzed 1599 GRBs from the Burst and Transient Source Experiment (BATSE) 4Br catalogue using $t$-mixtures-model-based clustering on all…

High Energy Astrophysical Phenomena · Physics 2018-09-28 Souradeep Chattopadhyay , Ranjan Maitra

We consider the problem related to clustering of gamma-ray bursts (from "BATSE" catalogue) through kernel principal component analysis in which our proposed kernel outperforms results of other competent kernels in terms of clustering…

Applications · Statistics 2019-08-08 Soumita Modak , Asis Kumar Chattopadhyay , Tanuka Chattopadhyay

Characterising and distinguishing gamma-ray bursts (GRBs) has interested astronomers for many decades. While some authors have found two or three groups of GRBs by analyzing only a few parameters, recent work identified five…

High Energy Astrophysical Phenomena · Physics 2026-01-28 Fan Dai , Ranjan Maitra

Subspace clustering, the task of clustering high dimensional data when the data points come from a union of subspaces is one of the fundamental tasks in unsupervised machine learning. Most of the existing algorithms for this task require…

Machine Learning · Statistics 2020-10-28 Vishnu Menon , Gokularam M , Sheetal Kalyani

The paper applies a new, nonparametric, interpoint distance-based measure to confirm the inherent groups prevailing in the brightest source of light in the universe: gamma-ray bursts. Our effective metric, in association with clustering…

High Energy Astrophysical Phenomena · Physics 2026-05-07 Soumita Modak

Gamma-ray bursts (GRBs) are commonly attributed to the demise of massive stars or the merger of binary compact objects. However, their varied emission characteristics strongly imply the existence of multiple GRB classes based on progenitor…

High Energy Astrophysical Phenomena · Physics 2024-07-12 Nishil Mehta , Shabnam Iyyani

A multivariate analysis of gamma-ray burst (GRB) bulk properties is presented to discriminate between distinct classes of GRBs. Several variables representing burst duration, fluence and spectral hardness are considered. Two multivariate…

Two different multivariate clustering techniques, the K-means partitioning method and the Dirichlet process of mixture modeling, have been applied to the BATSE Gamma-ray burst (GRB) catalog, to obtain the optimum number of coherent groups.…

Astrophysics · Physics 2010-06-22 Tanuka Chattopadhyay , Ranjeev Misra , Asis Kumar Chattopadhyay , Malay Naskar

Gamma-ray bursts (GRBs) are generally believed to originate from two distinct progenitors, compact binary mergers and massive collapsars. Traditional and some recent machine learning-based classification schemes predominantly rely on…

High Energy Astrophysical Phenomena · Physics 2025-10-22 Si-Yuan Zhu , Lang Shao , Pak-Hin Thomas Tam , Fu-Wen Zhang

Commonly-used clustering algorithms usually find ellipsoidal, spherical or other regular-structured clusters, but are more challenged when the underlying groups lack formal structure or definition. Syncytial clustering is the name that we…

Methodology · Statistics 2020-07-30 Israel Almodóvar-Rivera , Ranjan Maitra

Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

Machine Learning · Statistics 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

Cluster analysis is an unsupervised learning strategy that can be employed to identify subgroups of observations in data sets of unknown structure. This strategy is particularly useful for analyzing high-dimensional data such as microarray…

Methodology · Statistics 2016-10-07 Erika S. Helgeson , Eric Bair

Semi-supervised clustering is the task of clustering data points into clusters where only a fraction of the points are labelled. The true number of clusters in the data is often unknown and most models require this parameter as an input.…

Machine Learning · Computer Science 2013-09-27 Amar Shah , Zoubin Ghahramani

While Gamma-Ray Burst (GRBs) are clear and distinct observed events, every individual GRB is unique. In fact, GRBs are known for their variable behaviour, and BATSE was already able to discover two categories of GRB from the T90…

High Energy Astrophysical Phenomena · Physics 2023-08-25 Karlijn Kruiswijk , Gwenhaël de Wasseige

Gamma-ray bursts (GRBs) are detectable out to very large distances and as such are potentially powerful cosmological probes. Historically, the angular distribution of GRBs provided important information about their origin and physical…

High Energy Astrophysical Phenomena · Physics 2015-11-11 T. N. Ukwatta , P. R. Wozniak

The division of Gamma-ray bursts (GRBs) into different classes, other than the "short" and "long", has been an active field of research. We investigate whether GRBs can be classified based on a broader set of parameters, including prompt…

High Energy Astrophysical Phenomena · Physics 2023-11-28 Shubham Bhardwaj , Maria G. Dainotti , Sachin Venkatesh , Aditya Narendra , Anish Kalsi , Enrico Rinaldi , Agnieszka Pollo

The clusters of gamma-ray bursts are considered which are assumed to be images of the repeated gamma-ray burst (GRB) sources. It is shown, that localization of the cosmic gamma-ray burst sources (GBS) is determined by the clusters of GRBs.…

Astrophysics · Physics 2007-05-23 A. V. Kuznetsov
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