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09/03/2023
Distribution learning via neural differential equations: a nonparametric statistical perspective
Ordinary differential equations (ODEs), via their induced flow maps, pro...
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05/19/2023
Distortion Under Public-Spirited Voting
A key promise of democratic voting is that, by accounting for all consti...
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02/20/2023
Infinite-Dimensional Diffusion Models for Function Spaces
We define diffusion-based generative models in infinite dimensions, and ...
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09/05/2022
On free energy barriers in Gaussian priors and failure of MCMC for high-dimensional unimodal distributions
We exhibit examples of high-dimensional unimodal posterior distributions...
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07/20/2022
On minimax density estimation via measure transport
We study the convergence properties, in Hellinger and related distances,...
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12/10/2021
Laplace priors and spatial inhomogeneity in Bayesian inverse problems
Spatially inhomogeneous functions, which may be smooth in some regions a...
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09/11/2020
On polynomial-time computation of high-dimensional posterior measures by Langevin-type algorithms
The problem of generating random samples of high-dimensional posterior d...
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09/24/2018
Convergence rates for Penalised Least Squares Estimators in PDE-constrained regression problems
We consider PDE constrained nonparametric regression problems in which t...
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02/06/2018