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12/28/2021
Frame invariance and scalability of neural operators for partial differential equations
Partial differential equations (PDEs) play a dominant role in the mathem...
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03/11/2021
Frame-independent vector-cloud neural network for nonlocal constitutive modelling on arbitrary grids
Constitutive models are widely used for modelling complex systems in sci...
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11/15/2019
Enforcing Boundary Conditions on Physical Fields in Bayesian Inversion
Inverse problems in computational mechanics consist of inferring physica...
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11/15/2019
Enforcing Deterministic Constraints on Generative Adversarial Networks for Emulating Physical Systems
Generative adversarial networks (GANs) are initially proposed to generat...
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05/13/2019
Enforcing Statistical Constraints in Generative Adversarial Networks for Modeling Chaotic Dynamical Systems
Simulating complex physical systems often involves solving partial diffe...
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08/19/2018
