Stationary Kernels and Gaussian Processes on Lie Groups and their Homogeneous Spaces II: non-compact symmetric spaces

I Azangulov, A Smolensky, A Terenin… - Journal of Machine …, 2024 - jmlr.org
Gaussian processes are arguably the most important class of spatiotemporal models within
machine learning. They encode prior information about the modeled function and can be …

Posterior contraction rates for Matérn Gaussian processes on riemannian manifolds

P Rosa, S Borovitskiy, A Terenin… - Advances in Neural …, 2024 - proceedings.neurips.cc
Gaussian processes are used in many machine learning applications that rely on
uncertainty quantification. Recently, computational tools for working with these models in …

Stationary nonseparable space-time covariance functions on networks

E Porcu, PA White, MG Genton - Journal of the Royal Statistical …, 2023 - academic.oup.com
The advent of data science has provided an increasing number of challenges with high data
complexity. This paper addresses the challenge of space-time data where the spatial …

Implicit manifold Gaussian process regression

B Fichera, S Borovitskiy, A Krause… - Advances in Neural …, 2024 - proceedings.neurips.cc
Gaussian process regression is widely used because of its ability to provide well-calibrated
uncertainty estimates and handle small or sparse datasets. However, it struggles with high …

The GeometricKernels Package: Heat and Mat\'ern Kernels for Geometric Learning on Manifolds, Meshes, and Graphs

P Mostowsky, V Dutordoir, I Azangulov… - arXiv preprint arXiv …, 2024 - arxiv.org
Kernels are a fundamental technical primitive in machine learning. In recent years, kernel-
based methods such as Gaussian processes are becoming increasingly important in …

Temporally-Evolving Generalised Networks and their Reproducing Kernels

T Filosi, C Agostinelli, E Porcu - arXiv preprint arXiv:2309.15855, 2023 - arxiv.org
This paper considers generalised network, intended as networks where (a) the edges
connecting the nodes are nonlinear, and (b) stochastic processes are continuously indexed …

[PDF][PDF] Modelling of Gaussian random fields on homogeneous spaces of trees

ED Andreevic - 2024 - dspace.spbu.ru
ЕРЕМЕЕВ Дмитрий Андреевич Выпускная квалификационная работа Моделир Page 1
Санкт–Петербургский государственный университет Факультет математики и компьютерных …