| 2026 |
Wasserstein gradient flows for Moreau envelopes of f-divergences in reproducing kernel Hilbert spaces Viktor Stein, Sebastian Neumayer, Nicolaj Rux, Gabriele Steidl Analysis and Applications, 24(1), 21-65. [Journal] [arXiv] [GitHub] |
| 2026 |
Smoothed Distance Kernels for MMDs and Applications in Wasserstein Gradient Flows Nicolaj Rux, Michael Quellmalz, Gabriele Steidl Advances in Computational Mathematics, 52. [Journal] [arXiv] |
| 2025 |
Wasserstein gradient flows of maximum mean discrepancy functionals with distance kernels under Sobolev regularization Richard Duong, Nicolaj Rux, Viktor Stein, Gabriele Steidl Philosophical Transactions of the Royal Society A, 383(2298). [Journal] [arXiv] |
| 2025 |
Slicing of radial functions: a dimension walk in the Fourier space Nicolaj Rux, Michael Quellmalz, Gabriele Steidl Sampling Theory, Signal Processing, and Data Analysis, 23(1), 6. [Journal] [arXiv] |
| 2025 |
Numerical Methods for Kernel Slicing Nicolaj Rux, Johannes Hertrich, Sebastian Neumayer arXiv preprint arXiv:2510.11478. [arXiv] [GitHub] |
| 2026 |
Quasi Linear Kernel Attention with Infinite Capacity Nicolaj Rux, Johannes Hertrich, Sebastian Neumayer arXiv preprint arXiv:2609.35349. [arXiv] [GitHub] |
| 2026 |
Fast Gauss Sums via Flash Attention Nicolaj Rux, Johannes Hertrich, Sebastian Neumayer arXiv preprint arXiv:2609.04910. [arXiv] [GitHub] |
| 2026 |
Weighted absolute value sumation Time- and memory-efficient CUDA/C++ implementation for large-scale weighted absolute value summations, supports batching and gradients, exposed as a PyTorch extension. For q in R^(D x N), k in R^(D x M), v in R^(N x C) computes:
out[m,c] = Σ_{d=0}^{D-1} Σ_{n=0}^{N-1} |q[d,n] - k[d,m]| · v[n,c]
Code aviable on [GitHub]
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| 2025 |
Kernel Slicing Pytorch implementation for numerical inversion of Slicing operator For given function F inverts the Slicing Operator S_d : L^2([0,1]) -> L^2([0,1]) defined as
F(s)=(Sf)(s) = ∫_0^1 f(t·s) ρ_d(t) dt with ρ_d(t) = c_d (1 - t^2)^((d-3)/2)
Code aviable on [GitHub]
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| 2025 |
TUB Treasure Trail Scavenger hunt game for Technical University of Berlin - interactive map and information for students of TUB Code aviable on [GitHub]; Click to [Play] |
| 2025 |
An Overview of Softmax Attention and Efficient Variants Berlin-Leipzig online Seminar SS25: Mathematics of Machine Learning Seminar [Link] Presentation [PDF] |
| 2025 |
Numerical Methods for Kernel Slicing Summer school Technical University of Chemnitz Summer school [Link] Presentation [PDF] |
| 2025 |
Slicing of Radial Functions: a Dimension Walk in the Fourier Space Mathematical Signal and Image Analysis Conference - TUM Science & Study Center Raitenhaslach, Burghausen, Germany Conference [Link] presentation [PDF] |
| 2024 |
Wasserstein gradient flows for Riesz MMD regularized f-divergences Summer school Technical University of Chemnitz Summer school [Link] presentation [PDF] |
| 2026 |
Quasi Linear Kernel Attention with Infinite Capacity ___ presentation [PDF] |