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Author

A. Baíllo

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Preprint Oct 2026

The kernel mean embedding of a random probability distribution and its principal components

Given a random probability distribution \(F\), whose realizations are defined on \(\mathbb R^d\), and a kernel \(k\), our aim is to analyze the properties of the kernel mean embedding, \(\mu_F\), of \(F\) as a random element of the corresponding reproducing kernel Hilbert space \(\mathcal H\). This establishes a rigoro...

A. Baíllo, Martín Sánchez-Signorini · 0 citations
Open access Sep 2026

Kernel $$K$$-Means Clustering of Distributional Data

<jats:p> We consider the problem of clustering a sample of probability distributions from a random distribution on <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$\mathbb R^d$$</jats:tex-math>...

A. Baíllo, J. R. Berrendero, Martín Sánchez-Signorini · 0 citations

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