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Neural Posterior Estimation methods for simulation-based inference can be ill-suited for dealing with posterior distributions obtained by conditioning on multiple observations, as they tend to require a large number of simulator calls to…

Machine Learning · Computer Science 2023-07-11 Tomas Geffner , George Papamakarios , Andriy Mnih

In the literature on spatial point processes, there is an emerging challenge in studying marked point processes with points being labelled by functions. In this paper, we focus on point processes living on linear networks and, from distinct…

Methodology · Statistics 2024-07-11 Matthias Eckardt , Jorge Mateu , Mehdi Moradi

This paper deals with feature selection procedures for spatial point processes intensity estimation. We consider regularized versions of estimating equations based on Campbell theorem derived from two classical functions: Poisson likelihood…

Methodology · Statistics 2018-07-12 Achmad Choiruddin , Jean-François Coeurjolly , Frédérique Letué

Global climate models aim to reproduce physical processes on a global scale and predict quantities such as temperature given some forcing inputs. We consider climate ensembles made of collections of such runs with different initial…

Applications · Statistics 2013-12-02 Stefano Castruccio , Michael L. Stein

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…

Statistics Theory · Mathematics 2023-05-24 Jean-François Coeurjolly , Ismaïla Ba , Achmad Choiruddin

Machine learning models are often evaluated using point estimates of performance metrics such as accuracy, F1 score, or mean squared error. Such summaries fail to capture the inherent variability induced by stochastic elements of the…

Machine Learning · Computer Science 2026-05-13 Christoph Lehmann , Yahor Paromau

The problem of validating or criticising models for georeferenced data is challenging, since the conclusions can vary significantly depending on the locations of the validation set. This work proposes the use of cross-validation techniques…

Computation · Statistics 2018-02-19 Viviana G R Lobo , Thaís C O da Fonseca , Fernando A S Moura

In this paper, I show how neural networks can be used to simultaneously estimate all unknown parameters in a spatial point process model from an observed point pattern. The method can be applied to any point process model which it is…

Methodology · Statistics 2022-04-14 Ninna Vihrs

Within the applications of spatial point processes, it is increasingly becoming common that events are labeled by marks, prompting an exploration beyond the spatial distribution of events by incorporating the marks in the undertaken…

Methodology · Statistics 2023-09-06 Matthias Eckardt , Mehdi Moradi

Spatial classification with limited feature observations has been a challenging problem in machine learning. The problem exists in applications where only a subset of sensors are deployed at certain spots or partial responses are collected…

Machine Learning · Computer Science 2020-09-03 Arpan Man Sainju , Wenchong He , Zhe Jiang , Da Yan , Haiquan Chen

Quantitative properties of stochastic systems are usually specified in logics that allow one to compare the measure of executions satisfying certain temporal properties with thresholds. The model checking problem for stochastic systems with…

Logic in Computer Science · Computer Science 2010-05-11 Axel Legay , Benoit Delahaye

Scoring rules are an established way of comparing predictive performances across model classes. In the context of survival analysis, they require adaptation in order to accommodate censoring. This work investigates using scoring rules for…

Machine Learning · Computer Science 2024-11-14 Philipp Kopper , David Rügamer , Raphael Sonabend , Bernd Bischl , Andreas Bender

The deviation test belong to core tools in point process statistics, where hypotheses are typically tested considering differences between an empirical summary function and its expectation under the null hypothesis, which depend on a…

Methodology · Statistics 2015-03-13 Mari Myllymäki , Pavel Grabarnik , Henri Seijo , Dietrich Stoyan

Mathematical models of the real world are simplified representations of complex systems. A caveat to using mathematical models is that predicted causal effects and conditional independences may not be robust under model extensions, limiting…

Methodology · Statistics 2022-08-30 Tineke Blom , Joris M. Mooij

In this paper, we investigate the problem of assessing statistical methods and effectively summarizing results from simulations. Specifically, we consider problems of the type where multiple methods are compared on a reasonably large test…

Applications · Statistics 2015-10-07 Abigail Arnold , Jason Loeppky

A key objective in spatial statistics is to simulate from the distribution of a spatial process at a selection of unobserved locations conditional on observations (i.e., a predictive distribution) to enable spatial prediction and…

Methodology · Statistics 2025-11-17 Julia Walchessen , Andrew Zammit-Mangion , Raphaël Huser , Mikael Kuusela

Ordinal measurements are common outcomes in studies within psychology, as well as in the social and behavioral sciences. Choosing an appropriate regression model for analysing such data poses a difficult task. This paper aims to facilitate…

Methodology · Statistics 2026-03-03 Stefan Inerle , Markus Pauly , Moritz Berger

Assume that several competing methods are available to estimate a parameter in a given statistical model. The aim of estimator averaging is to provide a new estimator, built as a linear combination of the initial estimators, that achieves…

Statistics Theory · Mathematics 2017-03-08 Frédéric Lavancier , P Rochet

In conditional copula models, the copula parameter is deterministically linked to a covariate via the calibration function. The latter is of central interest for inference and is usually estimated nonparametrically. However, when a…

Methodology · Statistics 2014-03-19 Elif F. Acar , Radu V. Craiu , Fang Yao

Multi-type Markov point processes offer a flexible framework for modelling complex multi-type point patterns where it is pertinent to capture both interactions between points as well as large scale trends depending on observed covariates.…

Methodology · Statistics 2025-10-15 Ib Thorsgaard Jensen , Jean-François Coeurjolly , Rasmus Waagepetersen