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math.PR2026
Stability of the Markov-Krein Transform Under Classical Convolutions
Pierre Mergny
We prove that, for every , the image of the generalized Markov-Krein transform on probability measures with finite logarithmic moment is closed under classical additive convol…
math.ST2026
Spectral phase transitions in Gaussian multi-index models
Florent Krzakala, Pierre Mergny, Vanessa Piccolo
Recovering a low-dimensional latent subspace from nonlinear observations of Gaussian covariates in high dimensions is a fundamental problem in feature learning. Here, we consider G…