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Distributional Regression and Autoregression via Optimal Transport

Laya Ghodrati

We present a framework for performing regression when both covariate and response are probability distributions on a compact and convex subset of

\R^d

. Our regression model is based on the theory of optimal transport and links the conditional Fr'echet m ...

EPFL2023

Probability distribution

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Wideband integrated bioaerosol sensor (WIBS) excited, fluorescent, and hyper-fluorescent particle number concentrations and normalized size distributions (dN/dlogDp) measured in the Swiss container during MOSAiC 2019/2020

A Theory of Finite-Width Neural Networks: Generalization, Scaling Laws, and the Loss Landscape

Learning From Heterogeneous Data Based on Social Interactions Over Graphs

Distributional Regression and Autoregression via Optimal Transport

Risk assessment of waterborne virus in Lake Geneva: the present and the future

Excitation of toroidal Alfvén eigenmodes with counter-current NBI in the TCV tokamak

Regularization for distributionally robust state estimation and prediction

On Approximations of Data-Driven Chance Constrained Programs over Wasserstein Balls

Quantifying uncertain system outputs via the multi-level Monte Carlo method --- distribution and robustness measures

Regularized Diffusion Adaptation via Conjugate Smoothing

Learning From Heterogeneous Data Based on Social Interactions Over Graphs

Quantifying uncertain system outputs via the multi-level Monte Carlo method --- distribution and robustness measures

Regularized Diffusion Adaptation via Conjugate Smoothing

Risk assessment of waterborne virus in Lake Geneva: the present and the future

Regularization for distributionally robust state estimation and prediction

A Theory of Finite-Width Neural Networks: Generalization, Scaling Laws, and the Loss Landscape

Excitation of toroidal Alfvén eigenmodes with counter-current NBI in the TCV tokamak

Wideband integrated bioaerosol sensor (WIBS) excited, fluorescent, and hyper-fluorescent particle number concentrations and normalized size distributions (dN/dlogDp) measured in the Swiss container during MOSAiC 2019/2020

Distributional Regression and Autoregression via Optimal Transport

On Approximations of Data-Driven Chance Constrained Programs over Wasserstein Balls