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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

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

Stability: a search for structure

Seebeck Coefficient of Ionic Conductors from Bayesian Regression Analysis

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

Parametric Estimation For Functional Autoregressive Processes On The Sphere

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

Distributional Regression and Autoregression via Optimal Transport

Functional estimation of anisotropic covariance and autocovariance operators on the sphere