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math.ST2026
Asymptotic e-processes
Pierre-François Massiani, Sebastian Schulze, Mattes Mollenhauer
We investigate the concept of an asymptotic e-process, which is a doubly-indexed stochastic process that possesses, asymptotically for an approximati…
math.ST2022★ 5 cited
Learning linear operators: Infinite-dimensional regression as a well-behaved non-compact inverse problem
Mattes Mollenhauer, Nicole Mücke, T. J. Sullivan
We consider the problem of learning a linear operator between two Hilbert spaces from empirical observations, which we interpret as least squares regression in infinite dimensi…
math.ST2020★ 2 cited
Nonparametric approximation of conditional expectation operators
Mattes Mollenhauer, Péter Koltai
Given the joint distribution of two random variables on some second countable locally compact Hausdorff space, we investigate the statistical approximation of the -opera…