Concept

Indecomposable distribution

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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

Indecomposable distribution

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Distributionally Robust Linear Quadratic Control

Distributional Regression and Autoregression via Optimal Transport

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

Assessment of the Lightning Performance of overhead distribution lines based on Lightning Location Systems data

Statistical limits of dictionary learning: Random matrix theory and the spectral replica method

Minimax rate for optimal transport regression between distributions

Distribution-on-distribution regression via optimal transport maps

fGOT: Graph Distances Based on Filters and Optimal Transport

Considerations on the partial safety factor format for reinforced concrete structures accounting for multiple failure modes

Statistical limits of dictionary learning: Random matrix theory and the spectral replica method

Distributional Regression and Autoregression via Optimal Transport

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

Distribution-on-distribution regression via optimal transport maps

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

Minimax rate for optimal transport regression between distributions

Assessment of the Lightning Performance of overhead distribution lines based on Lightning Location Systems data

Distributionally Robust Linear Quadratic Control

fGOT: Graph Distances Based on Filters and Optimal Transport

Considerations on the partial safety factor format for reinforced concrete structures accounting for multiple failure modes