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This paper introduces a class of copula models for spatial data, based on multivariate Pareto-mixture distributions. We explore the tail properties of these models, demonstrating their ability to capture both tail dependence and asymptotic…

Methodology · Statistics 2026-01-28 Pavel Krupskii

In multitemporal InSAR, phase linking (PL) refers to the estimation of a single-reference interferometric phase history for distributed scatterers (DS) from the information contained in the sample coherence matrix. Because the phase…

Signal Processing · Electrical Eng. & Systems 2026-04-22 Magnus Heimpel , Irena Hajnsek , Othmar Frey

In this paper, we study the modeling and the classification of functional data presenting regime changes over time. We propose a new model-based functional mixture discriminant analysis approach based on a specific hidden process regression…

Methodology · Statistics 2013-12-30 Faicel Chamroukhi , Hervé Glotin , Allou Samé

We introduce an adaptive scattered data fitting scheme as extension of local least squares approximations to hierarchical spline spaces. To efficiently deal with non-trivial data configurations, the local solutions are described in terms of…

Numerical Analysis · Mathematics 2017-04-28 Cesare Bracco , Carlotta Giannelli , Alessandra Sestini

Graphical models have found widespread applications in many areas of modern statistics and machine learning. Iterative Proportional Fitting (IPF) and its variants have become the default method for undirected graphical model estimation, and…

Methodology · Statistics 2024-08-22 Kshitij Khare , Syed Rahman , Bala Rajaratnam , Jiayuan Zhou

We introduce a new family of multivariate distributions by taking the component-wise Tukey-h transformation of a random vector following a skew-normal distribution. The proposed distribution is named the skew-normal-Tukey-h distribution and…

Methodology · Statistics 2023-10-19 Sagnik Mondal , Marc G. Genton

Matrix-form Poisson probability distributions were recently introduced as one matrix generalization of Panjer distributions. We show in this paper that under the constraint that their representation is to be nonnegative, they have a…

Probability · Mathematics 2012-11-15 Sophie Hautphenne , Guy Latouche , Giang Nguyen

In this study, we introduce an innovative methodology aimed at enhancing Fisher's Linear Discriminant Analysis (LDA) in the context of high-dimensional data classification scenarios, specifically addressing situations where each feature…

Applications · Statistics 2024-01-18 Seungyeon Oh , Hoyoung Park

Meta-analytic methods tend to take all-or-nothing approaches to study-level heterogeneity, assuming all studies are heterogeneous or homogeneous, leading to inefficiency and/or bias in estimation and inference. In this paper, we develop a…

Methodology · Statistics 2026-03-12 Elizabeth M. Davis , Emily C. Hector

For a large class of inhomogeneous interacting particle systems (IPS) on a lattice we develop a rigorous method for mapping them onto homogeneous IPS. Our novel approach provides a direct way of obtaining the statistical properties of such…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Michael Blank

Probabilistic finite mixture models are widely used for unsupervised clustering. These models can often be improved by adapting them to the topology of the data. For instance, in order to classify spatially adjacent data points similarly,…

Computer Vision and Pattern Recognition · Computer Science 2022-02-09 Jonathan Vacher , Claire Launay , Ruben Coen-Cagli

We introduce closed-form transition density expansions for multivariate affine jump-diffusion processes. The expansions rely on a general approximation theory which we develop in weighted Hilbert spaces for random variables which possess…

Statistics Theory · Mathematics 2016-01-07 Damir Filipović , Eberhard Mayerhofer , Paul Schneider

In this contribution we investigate the application of phase-field fracture models on non-linear multiscale computational homogenization schemes. In particular, we introduce different phase-fields on a two-scale problem and develop a…

Computational Engineering, Finance, and Science · Computer Science 2023-12-21 Felix Schmidt , Stefan Schuß , Christian Hesch

The possibility to apply phase-space methods to many-body interacting systems might provide accurate descriptions of correlations with a reduced numerical cost. For instance, the so--called stochastic mean-field phase-space approach, where…

Nuclear Theory · Physics 2020-04-22 Thomas Czuba , Denis Lacroix , David Regnier , Ibrahim Ulgen , Bulent Yilmaz

We study an asymmetric version of the threshold model with anticonformity under asynchronous update mode that mimics continuous time. We study this model on a complete graph using three different approaches: mean-field approximation, Monte…

Physics and Society · Physics 2022-06-15 Bartłomiej Nowak , Michel Grabisch , Katarzyna Sznajd-Weron

The Flory-Huggins theory describes the phase separation of solutions containing polymers. Although it finds widespread application from polymer physics to materials science to biology, the concentrations that coexist in separate phases at…

Soft Condensed Matter · Physics 2024-04-30 J. Pedro de Souza , Howard A. Stone

Federated Learning (FL) enables decentralized, privacy-preserving model training but struggles to balance global generalization and local personalization due to non-identical data distributions across clients. Personalized Fine-Tuning…

Machine Learning · Computer Science 2025-12-30 Minghui Chen , Hrad Ghoukasian , Ruinan Jin , Zehua Wang , Sai Praneeth Karimireddy , Xiaoxiao Li

Probabilistic forecasting of multivariate time series is essential for various downstream tasks. Most existing approaches rely on the sequences being uniformly spaced and aligned across all variables. However, real-world multivariate time…

Machine Learning · Computer Science 2025-02-18 Yijun Li , Cheuk Hang Leung , Qi Wu

Imbalanced datasets pose a considerable challenge in training deep learning (DL) models for medical diagnostics, particularly for segmentation tasks. Imbalance may be associated with annotation quality limited annotated datasets, rare…

Image and Video Processing · Electrical Eng. & Systems 2025-04-08 Bashir Alam , Masa Cirkovic , Mete Harun Akcay , Md Kaf Shahrier , Sebastien Lafond , Hergys Rexha , Kurt Benke , Sepinoud Azimi , Janan Arslan

We consider inhomogeneous percolation on a hierarchical configuration model with a heavy-tailed degree distribution. This graph is the configuration model where all the half-edges are colored either black or white, and edges are formed by…

Probability · Mathematics 2024-01-11 David Clancy
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