[PDF][PDF] Density estimation in besov spaces zyxwvutsrqponmlkjihgfedcbazyxwvut
G Kerkyacharian, D Picard - Statistics & probability letters, 1992 - academia.edu
One can slightly modify the usual L, differentiability constraints of Sobolev types on densities
with the help of Besov norms. This has the advantage, using the wavelets characterization of …
with the help of Besov norms. This has the advantage, using the wavelets characterization of …
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 …
Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces
G Kerkyacharian, P Petrushev - Transactions of the American Mathematical …, 2015 - ams.org
Classical and nonclassical Besov and Triebel-Lizorkin spaces with complete range of
indices are developed in the general setting of Dirichlet space with a doubling measure and …
indices are developed in the general setting of Dirichlet space with a doubling measure and …
Weighted Besov and Triebel–Lizorkin spaces associated with operators and applications
Let X be a space of homogeneous type and L be a nonnegative self-adjoint operator on L2
(X) satisfying Gaussian upper bounds on its heat kernels. In this paper, we develop the …
(X) satisfying Gaussian upper bounds on its heat kernels. In this paper, we develop the …
Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities
We introduce heat semigroup-based Besov classes in the general framework of Dirichlet
spaces. General properties of those classes are studied and quantitative regularization …
spaces. General properties of those classes are studied and quantitative regularization …
[PDF][PDF] Discrete decomposition of homogeneous mixed-norm Besov spaces
G Cleanthous, AG Georgiadis… - … , harmonic analysis, and …, 2017 - researchgate.net
One of the most influential contributions of Frazier and Jawerth is the construction of the
discrete decomposition transformation, the so-called &-transform, on spaces of distributions …
discrete decomposition transformation, the so-called &-transform, on spaces of distributions …
Thomas Bayes' walk on manifolds
Convergence of the Bayes posterior measure is considered in canonical statistical settings
where observations sit on a geometrical object such as a compact manifold, or more …
where observations sit on a geometrical object such as a compact manifold, or more …
Necessary density conditions for sampling and interpolation in spectral subspaces of elliptic differential operators
K Gröchenig, A Klotz - Analysis & PDE, 2024 - msp.org
We prove necessary density conditions for sampling in spectral subspaces of a second-
order uniformly elliptic differential operator on ℝ d with slowly oscillating symbol. For …
order uniformly elliptic differential operator on ℝ d with slowly oscillating symbol. For …
[HTML][HTML] Homogeneous Besov and Triebel–Lizorkin spaces associated to non-negative self-adjoint operators
Abstract Homogeneous Besov and Triebel–Lizorkin spaces with complete set of indices are
introduced in the general setting of a doubling metric measure space in the presence of a …
introduced in the general setting of a doubling metric measure space in the presence of a …
Harmonic analysis on directed graphs and applications: From Fourier analysis to wavelets
We introduce a novel harmonic analysis for functions defined on the vertices of a strongly
connected directed graph (digraph) of which the random walk operator is the cornerstone …
connected directed graph (digraph) of which the random walk operator is the cornerstone …