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math.PR2026
An operator-theoretic characterization of Gaussian measure singularity under mean shifts
Marc Vidal
For two Gaussian random elements on a separable Hilbert space with common covariance operator, the fourth-order moment tensor structure of their mixture admits an operator-valued r…
math.ST2026
Noise-resilient penalty operators based on statistical differentiation schemes
Marc Vidal, Yves Rosseel
Classical approaches to penalized smoothing often rely on basis or kernel expansions, which constrain the estimator to a fixed span and may be restrictive for discretely observed d…