1 citations · 2 across the 8 of their papers we have counts for
10 papers
A Dynamical Low-rank Multilevel Monte Carlo Estimator for High-Dimensional Kinetic Equations
Chinmay Patwardhan, Sebastian Krumscheid, Jonas Kusch +2
Kinetic equations are used to model a wide range of phenomena important for real-world applications. Their applications span astrophysics, nuclear physics, engineering, and social…
A high-order deterministic dynamical low-rank method for proton transport in heterogeneous media
Pia Stammer, Niklas Wahl, Jonas Kusch +1
Dose calculations in proton therapy require the fast and accurate solution of a high-dimensional transport equation for a large number of (pencil) beams with different energies and…
An adaptive dynamical low-rank optimizer for solving kinetic parameter identification problems
Lena Baumann, Lukas Einkemmer, Christian Klingenberg +1
The numerical solution of parameter identification problems for kinetic equations can exhibit high computational and memory costs. In this paper, we propose a dynamical low-rank sc…
A geometric framework for momentum-based optimizers for low-rank training
Steffen Schotthöfer, Timon Klein, Jonas Kusch
Low-rank pre-training and fine-tuning have recently emerged as promising techniques for reducing the computational and storage costs of large neural networks. Training low-rank par…
A Parallel, Energy-Stable Low-Rank Integrator for Nonlinear Multi-Scale Thermal Radiative Transfer
Chinmay Patwardhan, Jonas Kusch
Thermal radiative transfer models physical phenomena ranging from supernovas in astrophysics to radiation from a hohlraum striking a fusion target in plasma physics. Transport and…
HADL Framework for Noise Resilient Long-Term Time Series Forecasting
Aditya Dey, Jonas Kusch, Fadi Al Machot
Long-term time series forecasting is critical in domains such as finance, economics, and energy, where accurate and reliable predictions over extended horizons drive strategic deci…
An Augmented Backward-Corrected Projector Splitting Integrator for Dynamical Low-Rank Training
Jonas Kusch, Steffen Schotthöfer, Alexandra Walter
Layer factorization has emerged as a widely used technique for training memory-efficient neural networks. However, layer factorization methods face several challenges, particularly…
An energy stable and conservative multiplicative dynamical low-rank discretization for the Su-Olson problem
Lena Baumann, Lukas Einkemmer, Christian Klingenberg +1
Computing numerical solutions of the thermal radiative transfer equations on a finely resolved grid can be costly due to high computational and memory requirements. A numerical red…
A Deterministic Dynamical Low-rank Approach for Charged Particle Transport
Pia Stammer, Tiberiu Burlacu, Niklas Wahl +2
Deterministically solving charged particle transport problems at a sufficient spatial and angular resolution is often prohibitively expensive, especially due to their highly forwar…
Low-rank variance reduction for uncertain radiative transfer with control variates
Chinmay Patwardhan, Pia Stammer, Emil Løvbak +2
The radiative transfer equation models various physical processes ranging from plasma simulations to radiation therapy. In practice, these phenomena are often subject to uncertaint…