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05/21/2023
Alignment of Density Maps in Wasserstein Distance
In this paper we propose an algorithm for aligning three-dimensional obj...
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10/20/2022
Optimization on Manifolds via Graph Gaussian Processes
This paper integrates manifold learning techniques within a Gaussian pro...
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07/03/2022
Mathematical Foundations of Graph-Based Bayesian Semi-Supervised Learning
In recent decades, science and engineering have been revolutionized by a...
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09/06/2021
Finite Element Representations of Gaussian Processes: Balancing Numerical and Statistical Accuracy
The stochastic partial differential equation approach to Gaussian proces...
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08/31/2021
Uniform Consistency in Nonparametric Mixture Models
We study uniform consistency in nonparametric mixture models as well as ...
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08/26/2020
Posterior Contraction Rates for Graph-Based Semi-Supervised Classification
This paper studies Bayesian nonparametric estimation of a binary regress...
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04/16/2020
The SPDE Approach to Matérn Fields: Graph Representations
This paper investigates Gaussian Markov random field approximations to n...
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10/23/2019
Kernel Methods for Bayesian Elliptic Inverse Problems on Manifolds
This paper investigates the formulation and implementation of Bayesian i...
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04/06/2019