Search Results for author: Julian Sieber

Found 4 papers, 0 papers with code

Quantitative Universal Approximation Bounds for Deep Belief Networks

no code implementations18 Aug 2022 Julian Sieber, Johann Gehringer

We show that deep belief networks with binary hidden units can approximate any multivariate probability density under very mild integrability requirements on the parental density of the visible nodes.

Slow-Fast Systems with Fractional Environment and Dynamics

no code implementations3 Dec 2020 Xue-Mei Li, Julian Sieber

We prove a fractional averaging principle for interacting slow-fast systems.

Probability 60G22, 60H10, 37A25

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