96 citations · 400 across the 39 of their papers we have counts for
47 papers
Large self-similar solutions of a convection--diffusion equation
Xiaoxin Zheng, Dominika Pilarczyk, Grzegorz Karch +1
We construct self-similar solutions to a nonlinear convection--diffusion equation posed on the whole Euclidean space, for a class of homogeneous initial data. The corresponding sel…
Aggregation--Diffusion Equations with Regular or Repulsive Interactions: Gaussian and Self-Similar Asymptotics
Grzegorz Karch, Yuri Soga
We study the large-time behavior of solutions to the aggregation--diffusion equation Our main resu…
Nemotron-Labs-3-Puzzle-75B-A9B: Compressing Hybrid MoE LLMs
Akhiad Bercovich, Talor Abramovich, Daniel Afrimi +67
We present Nemotron-Labs-3-Puzzle-75B-A9B, a compressed variant of Nemotron-3-Super optimized for interactive deployment. We designed the model to maximize server throughput under…
Concentration of mass of solutions to aggregation-diffusion equations
Grzegorz Karch, Krzysztof Krawczyk, Alexandre Boritchev
We consider the aggregation-diffusion equation in the whole space with a mildly singular interaction kernel K = K(x) which behaves like |x|^k near the origin for some k (0, 2…
Nemotron 3 Ultra: Open, Efficient Mixture-of-Experts Hybrid Mamba-Transformer Model for Agentic Reasoning
NVIDIA, :, Aaron Blakeman +571
We introduce Nemotron 3 Ultra, a 550 billion total and 55 billion active parameter Mixture-of-Experts Hybrid Mamba-Attention language model. We pre-trained Nemotron 3 Ultra on 20 t…
Droplet-Local Line Integration for Multiphase Flow
Alexander Straub, Sebastian Boblest, Grzegorz K. Karch +2
Line integration of stream-, streak-, and pathlines is widely used and popular for visualizing single-phase flow. In multiphase flow, i.e., where the fluid consists, e.g., of a liq…