Inhomogeneous interacting marked point processes for studying morphostructures in paleobiological data - INRIA Chile Accéder directement au contenu
Communication Dans Un Congrès Année : 2024

Inhomogeneous interacting marked point processes for studying morphostructures in paleobiological data

Résumé

This paper presents inhomogeneous marked point processes with interactions that are applied to the analysis of morphostructures exhibited by a paleo-biological dataset presented in Kolesnikov (2018). Specifically, due to the nature of the dataset, we model the probability density function describing the models by considering three effects: the distance to the nearest edge, the distance to the lower right corner, and the distance to a reference circle. Furthermore, interactions between the points through the observed marks are introduced. This is done using the Strauss and Area- Interaction processes. Such models have four parameters that must be estimated. The proposed procedure is as follows. First, the sufficient statistics of the proposed model are computed from the data. Then, posterior sampling of the parameters is performed using the ABC Shadow algorithm. Next, the quality of the estimation is assessed by calculating the estimation errors and evaluating the significance of the model parameters. Finally, the model is verified using a Global Envelopes test from Myllymäki et al. (2017); Myllymäki M (2023). The C++ library DRLib is the main programming tool used to perform model simulations, and parametric statistical inference based on the ABC Shadow algorithm the R package spatstat is used for the exploratory analysis, for the model verification analysis by global envelope tests and for the graphical presentation of the results.
Fichier principal
Vignette du fichier
Paper_Diego_Astaburuaga_RING_2024.pdf (1.3 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04653458 , version 1 (18-07-2024)

Identifiants

  • HAL Id : hal-04653458 , version 1

Citer

Diego Astaburuaga, Radu S. Stoica, Didier Gemmerlé, Francisco Cuevas-Pacheco. Inhomogeneous interacting marked point processes for studying morphostructures in paleobiological data. Ring Meeting 2024, Sep 2024, Nancy, France. ⟨hal-04653458⟩
0 Consultations
0 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More