no code implementations • 12 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.
no code implementations • 20 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.
no code implementations • 2 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 $\mathcal{H}_Y$.
1 code implementation • 8 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.
no code implementations • 4 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.