Fused Spatial Point Process IntensityEstimation on Complex Domains

02/22/2021
by   Lihao Yin, et al.
0

The availability of large spatial data geocoded at accurate locations has fueled a growing interest in spatial modeling and analysis of point processes. The proposed research is motivated by the intensity estimation problem for large spatial point patterns on complex domains, where many existing spatial point process models suffer from the problems of "leakage" and computation. We propose an efficient intensity estimation algorithm to estimate the spatially varying intensity function and to study the varying relationship between intensity and explanatory variables on complex domains. The method is built upon a graph regularization technique and hence can be flexibly applied to point patterns on complex domains such as regions with irregular boundaries and holes, or linear networks. An efficient proximal gradient optimization algorithm is proposed to handle large spatial point patterns. We also derive the asymptotic error bound for the proposed estimator. Numerical studies are conducted to illustrate the performance of the method. Finally, We apply the method to study and visualize the intensity patterns of the accidents on the Western Australia road network, and the spatial variations in the effects of income, lights condition, and population density on the Toronto homicides occurrences.

READ FULL TEXT

page 23

page 33

research
07/06/2019

Bayesian Nonparametric Nonhomogeneous Poisson Process with Applications to USGS Earthquake Data

Intensity estimation is a common problem in statistical analysis of spat...
research
12/06/2022

intensitynet: Intensity-based Analysis of Spatial Point Patterns Occurring on Complex Networks Structures in R

The statistical analysis of structured spatial point process data where ...
research
07/16/2022

Spatial point process via regularisation modelling of ambulance call risk

This study investigates the spatial distribution of emergency alarm call...
research
12/17/2020

Fast estimation of a convolution type model for the intensity of spatial point processes

Estimating the first-order intensity function in point pattern analysis ...
research
06/07/2023

Manga Rescreening with Interpretable Screentone Representation

The process of adapting or repurposing manga pages is a time-consuming t...
research
05/04/2020

Point process models for sweat gland activation observed with noise

The aim of the paper is to construct spatial models for the activation o...
research
08/21/2023

Patternshop: Editing Point Patterns by Image Manipulation

Point patterns are characterized by their density and correlation. While...

Please sign up or login with your details

Forgot password? Click here to reset