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math.ST2024
Statistical Learning Theory for Neural Operators
Niklas Reinhardt, Sven Wang, Jakob Zech
We present statistical convergence results for the learning of (possibly) non-linear mappings in infinite-dimensional spaces. Specifically, given a map $G_0:\mathcal X\to\mathcal Y…
astro-ph.CO2024
Kinetic field theory: effects of modified gravity theories with screening mechanisms on non-linear cosmic density fluctuations
Alexander Oestreicher, Harshda Saxena, Niklas Reinhardt +3
In a mean-field approximation within Kinetic Field Theory, it is possible to derive an accurate analytic expression for the power spectrum of present-day non-linear cosmic density…