Stationary Kernels and Gaussian Processes on Lie Groups and their Homogeneous Spaces II: non-compact symmetric spaces
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 …
machine learning. They encode prior information about the modeled function and can be …
Posterior contraction rates for Matérn Gaussian processes on riemannian manifolds
Gaussian processes are used in many machine learning applications that rely on
uncertainty quantification. Recently, computational tools for working with these models in …
uncertainty quantification. Recently, computational tools for working with these models in …
Stationary nonseparable space-time covariance functions on networks
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 …
complexity. This paper addresses the challenge of space-time data where the spatial …
Implicit manifold Gaussian process regression
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 …
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 …
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 …
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 …
Санкт–Петербургский государственный университет Факультет математики и компьютерных …