Clustering constrained on linear networks
Clustering constrained on linear networks
An unsupervised classification method for point events occurring on a geometric network is proposed. The idea relies on the distributional flexibility and practicality of random partition models to discover the clustering structure featuring observations from a particular phenomenon taking place on a given set of edges. By incorporating the spatial effect in the random partition distribution, induced by a Dirichlet process, one is able to control the distance between edges and events, thus leading to an appealing clustering method. A Gibbs sampler algorithm is proposed and evaluated with a sensitivity analysis. The proposal is motivated and illustrated by the analysis of crime and violence patterns in Mexico City.
1983-1995
Martínez, Asael Fabian
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Chaudhuri, Somnath
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Díaz-Avalos, Carlos
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Juan, Pablo
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Mateu, Jorge
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Mena, Ramsés H.
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9 January 2023
Martínez, Asael Fabian
a408564a-9cdd-44df-8fbf-74fd75020dc3
Chaudhuri, Somnath
ae0507e0-f920-4438-bc9f-ecdd5ac8967a
Díaz-Avalos, Carlos
c3d206d1-9a32-4e8c-88ab-0b7f2cb18e30
Juan, Pablo
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Mateu, Jorge
241c68e0-8f2c-4f36-81ac-2bd07450db02
Mena, Ramsés H.
271ab832-ca1a-4200-885a-2839212f9f40
Martínez, Asael Fabian, Chaudhuri, Somnath, Díaz-Avalos, Carlos, Juan, Pablo, Mateu, Jorge and Mena, Ramsés H.
(2023)
Clustering constrained on linear networks.
Stochastic Environmental Research and Risk Assessment, 37, .
(doi:10.1007/s00477-022-02376-y).
Abstract
An unsupervised classification method for point events occurring on a geometric network is proposed. The idea relies on the distributional flexibility and practicality of random partition models to discover the clustering structure featuring observations from a particular phenomenon taking place on a given set of edges. By incorporating the spatial effect in the random partition distribution, induced by a Dirichlet process, one is able to control the distance between edges and events, thus leading to an appealing clustering method. A Gibbs sampler algorithm is proposed and evaluated with a sensitivity analysis. The proposal is motivated and illustrated by the analysis of crime and violence patterns in Mexico City.
Text
clust_constrained_accepted_manuscript
More information
Accepted/In Press date: 20 December 2022
Published date: 9 January 2023
Identifiers
Local EPrints ID: 502893
URI: http://eprints.soton.ac.uk/id/eprint/502893
ISSN: 1436-3240
PURE UUID: 4685f33b-12ef-4d8e-af3d-bc9db44985bf
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Date deposited: 11 Jul 2025 16:31
Last modified: 12 Jul 2025 02:20
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Contributors
Author:
Asael Fabian Martínez
Author:
Somnath Chaudhuri
Author:
Carlos Díaz-Avalos
Author:
Pablo Juan
Author:
Jorge Mateu
Author:
Ramsés H. Mena
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