Regularization techniques for inhomogeneous (spatial) point processes intensity and conditional intensity estimation******
Point processes are stochastic models generating interacting points or events in time and/or space. Among characteristics of these models, first-order intensity and conditional intensity functions are often considered. We focus on inhomogeneous parametric forms of these functions assumed to depend o...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2025-01-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | https://www.esaim-proc.org/articles/proc/pdf/2025/03/proc20258001.pdf |
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| author | Coeurjolly Jean-Francois Ba Ismaïla Choiruddin Achmad |
| author_facet | Coeurjolly Jean-Francois Ba Ismaïla Choiruddin Achmad |
| author_sort | Coeurjolly Jean-Francois |
| collection | DOAJ |
| description | Point processes are stochastic models generating interacting points or events in time and/or space. Among characteristics of these models, first-order intensity and conditional intensity functions are often considered. We focus on inhomogeneous parametric forms of these functions assumed to depend on a certain number of spatial covariates. When this number of covariates is large, we are faced with a high-dimensional problem. This paper provides an overview of these questions and existing solutions based on regularizations. |
| format | Article |
| id | doaj-art-035e4ccb02d34990b4c40f2a3e1b054f |
| institution | OA Journals |
| issn | 2267-3059 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj-art-035e4ccb02d34990b4c40f2a3e1b054f2025-08-20T01:51:54ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592025-01-018021610.1051/proc/202580002proc20258001Regularization techniques for inhomogeneous (spatial) point processes intensity and conditional intensity estimation******Coeurjolly Jean-Francois0Ba Ismaïla1Choiruddin Achmad2Univ. Grenoble Alpes, LJKDepartment of Mathematics and Statistics, York UniversityDepartment of Statistics, Institut Teknologi Sepuluh NopemberPoint processes are stochastic models generating interacting points or events in time and/or space. Among characteristics of these models, first-order intensity and conditional intensity functions are often considered. We focus on inhomogeneous parametric forms of these functions assumed to depend on a certain number of spatial covariates. When this number of covariates is large, we are faced with a high-dimensional problem. This paper provides an overview of these questions and existing solutions based on regularizations.https://www.esaim-proc.org/articles/proc/pdf/2025/03/proc20258001.pdf |
| spellingShingle | Coeurjolly Jean-Francois Ba Ismaïla Choiruddin Achmad Regularization techniques for inhomogeneous (spatial) point processes intensity and conditional intensity estimation****** ESAIM: Proceedings and Surveys |
| title | Regularization techniques for inhomogeneous (spatial) point processes intensity and conditional intensity estimation****** |
| title_full | Regularization techniques for inhomogeneous (spatial) point processes intensity and conditional intensity estimation****** |
| title_fullStr | Regularization techniques for inhomogeneous (spatial) point processes intensity and conditional intensity estimation****** |
| title_full_unstemmed | Regularization techniques for inhomogeneous (spatial) point processes intensity and conditional intensity estimation****** |
| title_short | Regularization techniques for inhomogeneous (spatial) point processes intensity and conditional intensity estimation****** |
| title_sort | regularization techniques for inhomogeneous spatial point processes intensity and conditional intensity estimation |
| url | https://www.esaim-proc.org/articles/proc/pdf/2025/03/proc20258001.pdf |
| work_keys_str_mv | AT coeurjollyjeanfrancois regularizationtechniquesforinhomogeneousspatialpointprocessesintensityandconditionalintensityestimation AT baismaila regularizationtechniquesforinhomogeneousspatialpointprocessesintensityandconditionalintensityestimation AT choiruddinachmad regularizationtechniquesforinhomogeneousspatialpointprocessesintensityandconditionalintensityestimation |