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20212025
most citedPredicting continuum breakdown with deep neural networks

6 citations · 19 across the 13 of their papers we have counts for

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5 papers · 1 filter

math.NA2024★ 3 cited

Windowing Regularization Techniques for Unsteady Aerodynamic Shape Optimization

Steffen Schotthöfer, Beckett Y. Zhou, Tim Albring +1

Unsteady Aerodynamic Shape Optimization presents new challenges in terms of sensitivity analysis of time-dependent objective functions. In this work, we consider periodic unsteady…

cs.LG2024★ 1 cited

GeoLoRA: Geometric integration for parameter efficient fine-tuning

Steffen Schotthöfer, Emanuele Zangrando, Gianluca Ceruti +2

Low-Rank Adaptation (LoRA) has become a widely used method for parameter-efficient fine-tuning of large-scale, pre-trained neural networks. However, LoRA and its extensions face se…

cs.LG2024★ 1 cited

Federated Dynamical Low-Rank Training with Global Loss Convergence Guarantees

Steffen Schotthöfer, M. Paul Laiu

In this work, we propose a federated dynamical low-rank training (FeDLRT) scheme to reduce client compute and communication costs - two significant performance bottlenecks in horiz…

math.NA2024

Structure-preserving neural networks for the regularized entropy-based closure of the Boltzmann moment system

Steffen Schotthöfer, M. Paul Laiu, Martin Frank +1

The main challenge of large-scale numerical simulation of radiation transport is the high memory and computation time requirements of discretization methods for kinetic equations.…

math.NA2024

Structure-Preserving Operator Learning: Modeling the Collision Operator of Kinetic Equations

Jae Yong Lee, Steffen Schotthöfer, Tianbai Xiao +2

This work explores the application of deep operator learning principles to a problem in statistical physics. Specifically, we consider the linear kinetic equation, consisting of a…