6 papers
Tensor-Based Reduced-Order Modeling for Optimization-Based Inverse Problems
Sahidul Islam, Andreas Mang, Maxim Olshanskii
We develop a tensor reduced-order modeling (TROM) framework for optimization-based inverse problems governed by parameter-dependent dynamical systems. The approach approximates the…
Tensorial Reduced-Order Models for Parametric Coupled Reaction-Diffusion Systems: Application to Brain Tumor Growth Modeling
Asikul Islam, Md Rezwan Bin Mizan, Maxim Olshanskii +1
We construct efficient surrogate models for parametric forward operators arising in brain tumor growth simulations, governed by coupled semilinear parabolic reaction-diffusion syst…
VPREG: An Optimal Control Formulation for Diffeomorphic Image Registration Based on the Variational Principle Grid Generation Method
Zicong Zhou, Baihan Zhao, Andreas Mang +1
This paper introduces VPreg, a novel diffeomorphic image registration method. This work provides several improvements to our past work on mesh generation and diffeomorphic image re…
A generalized alternating NGMRES method for PDE-constrained optimization problems governed by transport equations
Yunhui He, Andreas Mang
In this work, we propose a generalized alternating nonlinear generalized minimal residual method (GA-NGMRES) to accelerate first-order optimization schemes for PDE-constrained opti…
A Unified Framework for Lifted Training and Inversion Approaches
Xiaoyu Wang, Alexandra Valavanis, Azhir Mahmood +3
The training of deep neural networks predominantly relies on a combination of gradient-based optimisation and back-propagation for the computation of the gradient. While incredibly…
CLAIRE: Scalable GPU-Accelerated Algorithms for Diffeomorphic Image Registration in 3D
Andreas Mang
We present our work on scalable, GPU-accelerated algorithms for diffeomorphic image registration. The associated software package is termed CLAIRE. Image registration is a non-line…