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Nithin Chalapathi

2 accepted papers

2024

Neural Spectral Methods: Self-supervised learning in the spectral domain

ICLR 2024poster

We present Neural Spectral Methods, a technique to solve parametric Partial Differential Equations (PDEs), grounded in classical spectral methods. Our method uses orthogonal bases to learn PDE solutions as mappings between spectral coefficients, instantiating a spectral-based neural operator. In con…

2024

Scaling physics-informed hard constraints with mixture-of-experts

ICLR 2024poster

Imposing known physical constraints, such as conservation laws, during neural network training introduces an inductive bias that can improve accuracy, reliability, convergence, and data efficiency for modeling physical dynamics. While such constraints can be softly imposed via loss function penaltie…