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20212024
most citedData-driven anisotropic finite viscoelasticity using neural ordinary differential equations

53 citations · 66 across the 7 of their papers we have counts for

collaborators

7 papers

eess.IV2024

Self-Supervised k-Space Regularization for Motion-Resolved Abdominal MRI Using Neural Implicit k-Space Representation

Veronika Spieker, Hannah Eichhorn, Jonathan K. Stelter +8

Neural implicit k-space representations have shown promising results for dynamic MRI at high temporal resolutions. Yet, their exclusive training in k-space limits the application o…

cs.CE20231 cited

Generative Hyperelasticity with Physics-Informed Probabilistic Diffusion Fields

Vahidullah Tac, Manuel K Rausch, Ilias Bilionis +2

Many natural materials exhibit highly complex, nonlinear, anisotropic, and heterogeneous mechanical properties. Recently, it has been demonstrated that data-driven strain energy fu…

cs.CE20233 cited

Physics-informed neural networks for blood flow inverse problems

Jeremias Garay, Jocelyn Dunstan, Sergio Uribe +1

Physics-informed neural networks (PINNs) have emerged as a powerful tool for solving inverse problems, especially in cases where no complete information about the system is known a…

eess.IV20231 cited

Unsupervised reconstruction of accelerated cardiac cine MRI using Neural Fields

Tabita Catalán, Matías Courdurier, Axel Osses +3

Cardiac cine MRI is the gold standard for cardiac functional assessment, but the inherently slow acquisition process creates the necessity of reconstruction approaches for accelera…

cs.CE20238 cited

Benchmarks for physics-informed data-driven hyperelasticity

Vahidullah Tac, Kevin Linka, Francisco Sahli-Costabal +2

Data-driven methods have changed the way we understand and model materials. However, while providing unmatched flexibility, these methods have limitations such as reduced capacity…

cond-mat.soft202353 cited

Data-driven anisotropic finite viscoelasticity using neural ordinary differential equations

Vahidullah Tac, Manuel K. Rausch, Francisco Sahli-Costabal +1

We develop a fully data-driven model of anisotropic finite viscoelasticity using neural ordinary differential equations as building blocks. We replace the Helmholtz free energy fun…