3 papers
math.ST2026
Kernel Embedding for Operator-Valued Measures and Its Application to Quantum Tomography
Philipp Nikolas Mayer, Ho Yun
This paper introduces the Quantum Covariance Embedding, which embeds Positive Operator-Valued Measures into a tensor product of a Reproducing Kernel Hilbert Space and the quantum s…
stat.CO2025
Fast and Cheap Krylov-Based Covariance Smoothing
Ho Yun, Victor M. Panaretos
We introduce the Tensorized-and-Restricted Krylov (TReK) method, a simple and efficient algorithm for estimating covariance tensors with large observational sizes. TReK extends the…
math.ST2025
Low-Dose Tomography of Random Fields and the Problem of Continuous Heterogeneity
Ho Yun, Alessia Caponera, Victor M. Panaretos
We consider the problem of nonparametric estimation of the conformational variability in a population of related structures, based on low-dose tomography of a random sample of repr…