Nicolaj Rux

activity

20242026

most citedWasserstein Gradient Flows for Moreau Envelopes of f-Divergences in Reproducing Kernel Hilbert Spaces

1 citations · 2 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.AP2024

Wasserstein Gradient Flows of MMD Functionals with Distance Kernels under Sobolev Regularization

Richard Duong, Nicolaj Rux, Viktor Stein +1

We consider Wasserstein gradient flows of maximum mean discrepancy (MMD) functionals $MMD_{K}^{2} (\cdot, ν)$ for positive and negative distance kernels $K (x, y) := \pm ∣ x - y ∣$ and…

math.NA2024★ 1 cited

Slicing of Radial Functions: a Dimension Walk in the Fourier Space

Nicolaj Rux, Michael Quellmalz, Gabriele Steidl

Computations in high-dimensional spaces can often be realized only approximately, using a certain number of projections onto lower dimensional subspaces or sampling from distributi…

stat.ML2024★ 1 cited

Wasserstein Gradient Flows for Moreau Envelopes of f-Divergences in Reproducing Kernel Hilbert Spaces

Viktor Stein, Sebastian Neumayer, Nicolaj Rux +1

Commonly used $f$ -divergences of measures, e.g., the Kullback-Leibler divergence, are subject to limitations regarding the support of the involved measures. A remedy is regularizin…