Search Results for author: Dimitri Meunier

Found 5 papers, 1 papers with code

Towards Optimal Sobolev Norm Rates for the Vector-Valued Regularized Least-Squares Algorithm

no code implementations12 Dec 2023 Zhu Li, Dimitri Meunier, Mattes Mollenhauer, Arthur Gretton

We present the first optimal rates for infinite-dimensional vector-valued ridge regression on a continuous scale of norms that interpolate between $L_2$ and the hypothesis space, which we consider as a vector-valued reproducing kernel Hilbert space.

regression

Nonlinear Meta-Learning Can Guarantee Faster Rates

no code implementations20 Jul 2023 Dimitri Meunier, Zhu Li, Arthur Gretton, Samory Kpotufe

Many recent theoretical works on \emph{meta-learning} aim to achieve guarantees in leveraging similar representational structures from related tasks towards simplifying a target task.

Meta-Learning regression

Optimal Rates for Regularized Conditional Mean Embedding Learning

no code implementations2 Aug 2022 Zhu Li, Dimitri Meunier, Mattes Mollenhauer, Arthur Gretton

We address the misspecified setting, where the target CME is in the space of Hilbert-Schmidt operators acting from an input interpolation space between $\mathcal{H}_X$ and $L_2$, to $\mathcal{H}_Y$.

Bayesian Inference

Distribution Regression with Sliced Wasserstein Kernels

1 code implementation8 Feb 2022 Dimitri Meunier, Massimiliano Pontil, Carlo Ciliberto

We study the theoretical properties of a kernel ridge regression estimator based on such representation, for which we prove universal consistency and excess risk bounds.

regression

Meta-strategy for Learning Tuning Parameters with Guarantees

no code implementations4 Feb 2021 Dimitri Meunier, Pierre Alquier

We consider an online meta-learning scenario, and we propose a meta-strategy to learn these parameters from past tasks.

Meta-Learning

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