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CARS: a centerline-anchored attention surrogate for coronary blood flow on skeleton-generated lumen geometries
Reza Akbarian Bafghi, Sukirt Thakur, Maziar Raissi
When the parameter of a PDE surrogate is the flow domain itself, the key/value set of an attention model must encode that domain. We present CARS (Coronary Artery Rapid Surrogate),…
Are Learned Vascular Tree Generators Better Than Conditional Resampling?
Reza Akbarian Bafghi, Sukirt Thakur, Maziar Raissi
Fidelity scores compare generated vascular trees with held-out real trees, so by themselves they cannot detect reuse of training data. A training-free conditional resampler shows t…
Online Optimization with Unknown Time-Varying Parameters Using Noisy Gradient Measurements
Shivanshu Tripathi, Fabio Pasqualetti, Maziar Raissi
We study online optimization problems in which the cost function depends on latent, time-varying parameters that are unmeasurable and governed by unknown dynamics. Specifically, we…
Learning Parameterized Nonlinear Elasticity on Curved Surfaces
Yankang Liu, Ke Zhang, Maziar Raissi +1
We learn parameterized nonlinear elasticity on curved surfaces using a physics-informed neural network that enforces governing equations and boundary conditions directly through th…