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Hybrid regularisation and the (in)admissibility of ridge regression in infinite dimensional Hilbert spaces

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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

Hybrid regularisation and the (in)admissibility of ridge regression in infinite dimensional Hilbert spaces

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Chat with Graph Search

A Geometric Unification of Distributionally Robust Covariance Estimators: Shrinking the Spectrum by Inflating the Ambiguity Set

Seebeck Coefficient of Ionic Conductors from Bayesian Regression Analysis

Stability: a search for structure

Spectral Estimators for High-Dimensional Matrix Inference

High-Dimensional Kernel Methods under Covariate Shift: Data-Dependent Implicit Regularization

Bayes-optimal Learning of Deep Random Networks of Extensive-width

Distributional Regression and Autoregression via Optimal Transport

(S)GD over Diagonal Linear Networks: Implicit Regularisation, Large Stepsizes and Edge of Stability

Parametric Estimation For Functional Autoregressive Processes On The Sphere

Functional estimation of anisotropic covariance and autocovariance operators on the sphere

Spectral Estimators for High-Dimensional Matrix Inference

A Geometric Unification of Distributionally Robust Covariance Estimators: Shrinking the Spectrum by Inflating the Ambiguity Set

Functional estimation of anisotropic covariance and autocovariance operators on the sphere

High-Dimensional Kernel Methods under Covariate Shift: Data-Dependent Implicit Regularization

Stability: a search for structure

Bayes-optimal Learning of Deep Random Networks of Extensive-width

(S)GD over Diagonal Linear Networks: Implicit Regularisation, Large Stepsizes and Edge of Stability

Seebeck Coefficient of Ionic Conductors from Bayesian Regression Analysis

Parametric Estimation For Functional Autoregressive Processes On The Sphere

Distributional Regression and Autoregression via Optimal Transport