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20192025
most citedSimulator-free Solution of High-Dimensional Stochastic Elliptic Partial Differential Equations using Deep Neural Networks

164 citations · 172 across the 5 of their papers we have counts for

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cs.LG2025

Physics-Informed Latent Neural Operator for Real-time Predictions of time-dependent parametric PDEs

Sharmila Karumuri, Lori Graham-Brady, Somdatta Goswami

Deep operator network (DeepONet) has shown significant promise as surrogate models for systems governed by partial differential equations (PDEs), enabling accurate mappings between…

cs.LG2024

Efficient Training of Deep Neural Operator Networks via Randomized Sampling

Sharmila Karumuri, Lori Graham-Brady, Somdatta Goswami

Neural operators (NOs) employ deep neural networks to learn mappings between infinite-dimensional function spaces. Deep operator network (DeepONet), a popular NO architecture, has…