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Nikhil Muralidhar

2 papers indexed

arxivcs.LGcs.AI2026-07-15

LIGO-PINN: Learned Initialization via Gated Optimization to Alleviate Convergence Failures in Physics Informed Neural Networks

Nilay Anurag, Shital Adhikari, Taniya Kapoor, Nikhil Muralidhar

Physics-informed neural networks (PINNs) have had a broad research impact in modeling domains governed by partial differential equations (PDE). However, PINNs have been shown to perform poorly, sometimes even converging to trivial solutions, in challenging PDE domains, or when ge…

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arxivcs.LG2026-06-30

TRIE: An Evaluation Framework for Stochastic PDE Surrogates

Bharat Srikishan, Javier E. Santos, Nikhil Muralidhar, Charles D. Young

Many scientific systems exhibit uncertainty from stochastic forcing, unresolved degrees of freedom, or imperfect observations, making reliable surrogate forecasting fundamentally distributional rather than pointwise. For such systems, deterministic neural surrogates fail to captu…

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