7 citations · 9 across the 7 of their papers we have counts for
10 papers
Inhomogeneous Priors for Bayesian Inverse Problems
Babak Maboudi Afkham, Tomas Soto, Mirza Karamehmedovic +1
Many inverse problems arising in engineering and applied sciences involve unknown quantities with pronounced spatial inhomogeneity, such as localized defects or spatially varying m…
Wide stable neural networks: Sample regularity, functional convergence and Bayesian inverse problems
Tomás Soto
We study the large-width asymptotics of random fully connected neural networks with weights drawn from -stable distributions, a family of heavy-tailed distributions arising as t…
Bayesian inversion with α-stable priors
Jarkko Suuronen, Tomás Soto, Neil K. Chada +1
We propose to use Lévy α-stable distributions for constructing priors for Bayesian inverse problems. The construction is based on Markov fields with stable-distributed increments.…
On resampling schemes for particle filters with weakly informative observations
Nicolas Chopin, Sumeetpal S. Singh, Tomás Soto +1
We consider particle filters with weakly informative observations (or `potentials') relative to the latent state dynamics. The particular focus of this work is on particle filters…
Traces of weighted function spaces: dyadic norms and Whitney extensions
Pekka Koskela, Tomás Soto, Zhuang Wang
The trace spaces of Sobolev spaces and related fractional smoothness spaces have been an active area of research since the work of Nikolskii, Aronszajn, Slobodetskii, Babich and Ga…
Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces
Eero Saksman, Tomás Soto
We establish trace theorems for function spaces defined on general Ahlfors regular metric spaces . The results cover the Triebel-Lizorkin spaces and the Besov spaces for smoothn…
Besov spaces via hyperbolic fillings
Tomás Soto
We establish a new characterization of the homogeneous Besov spaces with smoothness in the setting of doubling metric measure spaces $…
Triebel-Lizorkin spaces on metric spaces via hyperbolic fillings
Mario Bonk, Eero Saksman, Tomás Soto
We give a new characterization of (homogeneous) Triebel-Lizorkin spaces in the smoothness range for a fairly general class of metric mea…
Pointwise and grand maximal function characterizations of Besov-type and Triebel-Lizorkin-type spaces
Tomás Soto
In this note, we establish characterizations for the homogeneous Besov-type spaces and Triebel-Lizorkin-type spaces $\dot{F}^{s,τ}_{p,q}(\mathbb…
Bounded compositions on scaling invariant Besov spaces
Herbert Koch, Pekka Koskela, Eero Saksman +1
For , we characterize the homeomorphisms for which the composition operator is bounded on the homogeneous, sc…