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math.NA2026
Amortized Generative Modeling of Invariant Measures across A Family of Kuramoto-Sivashinsky PDEs
Arnab Roy, Tobin A. Driscoll
The long-run statistics of chaotic dissipative partial differential equations are described by invariant measures, and when the equation carries a parameter these measures form a f…
math.NA2026
Operator learning for models of tear film breakup
Qinying Chen, Arnab Roy, Tobin A. Driscoll
Tear film (TF) breakup is a key driver of understanding dry eye disease, yet estimating TF thickness and osmolarity from fluorescence (FL) imaging typically requires solving comput…