Statistical analysis of complex and spatially dependent data: a review of object oriented spatial statistics

A Menafoglio, P Secchi - European journal of operational research, 2017 - Elsevier
We review recent advances in Object Oriented Spatial Statistics, a system of ideas,
algorithms and methods that allows the analysis of high dimensional and complex data …

Asymptotic error rates for point process classification

X Rong, V Solo - IEEE Transactions on Signal Processing, 2025 - ieeexplore.ieee.org
Point processes are finding growing applications in numerous fields, such as neuroscience,
high frequency finance and social media. So classic problems of classification and …

Assessing similarities between spatial point patterns with a Siamese neural network discriminant model

A Jalilian, J Mateu - Advances in Data Analysis and Classification, 2023 - Springer
Identifying structural differences among observed point patterns from several populations is
of interest in several applications. We use deep convolutional neural networks and employ a …

Supervised nonparametric classification in the context of replicated point patterns

K Pawlasová, J Dvořák - Image analysis and Stereology, 2022 - ias-iss.org
A spatial point pattern is a collection of points in space, representing, eg observed locations
of trees, bird nests, centers of cells in a histological sample, etc. When several independent …

Spatial birth–death–move processes: Basic properties and estimation of their intensity functions

F Lavancier, R Le Guével - … the Royal Statistical Society Series B …, 2021 - academic.oup.com
Many spatiotemporal data record the time of birth and death of individuals, along with their
spatial trajectories during their lifetime, whether through continuous-time observations or …

Detecting common features from point patterns for similarity measurement using matrix decomposition

Y Zhang, W Yu - Cartography and Geographic Information Science, 2024 - Taylor & Francis
Similarity of point patterns is critical to geographic information retrieval. Many methods
depend on measuring the similarity between point patterns within the spatial database …

Metrics and barycenters for point pattern data

R Müller, D Schuhmacher, J Mateu - Statistics and Computing, 2020 - Springer
We introduce the transport–transform and the relative transport–transform metrics between
finite point patterns on a general space, which provide a unified framework for earlier point …

Generalized Mahalanobis depth in point process and its application in neural coding

S Liu, W Wu - The Annals of Applied Statistics, 2017 - JSTOR
In this paper, we propose to generalize the notion of depth in temporal point process
observations. The new depth is defined as a weighted product of two probability terms:(1) …

Asymptotic Classification Error for Heavy-Tailed Renewal Processes

X Rong, V Solo - arXiv preprint arXiv:2408.10502, 2024 - arxiv.org
Despite the widespread occurrence of classification problems and the increasing collection
of point process data across many disciplines, study of error probability for point process …

Testing for significant differences between two spatial patterns using covariates

MI Borrajo, W González-Manteiga… - Spatial Statistics, 2020 - Elsevier
This paper addresses the problem of comparing the spatial distribution of two point patterns.
A formal statistical test is proposed to decide whether two observed patterns share the same …