Work

Regularization techniques for inhomogeneous (spatial) point processes intensity and conditional intensity estimation

Year: 2023

Type: preprint

Abstract: Point processes are stochastic models generating interacting points or events in time, space, etc. 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.

Source: HAL (Le Centre pour la Communication Scientifique Directe)

DOI: 10.48550/arxiv.2305.13470

Authors: Coeurjolly, Jean-François, Ba, Ismaïla, Choiruddin, Achmad

Institutions: Laboratoire Jean Kuntzmann, Université Grenoble Alpes, York University, Institut Teknologi Sepuluh Nopember

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

OpenAlex ID: W4378087417

Cites: 35

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Related to: 10