AINeutralarXiv – CS AI · 10h ago6/10
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MC$^2$: Monte Carlo Correction for Fast Elliptic PDE Solving
Researchers introduce MC², a hybrid solver combining Monte Carlo methods with neural networks to solve elliptic PDEs 1000x faster than traditional approaches while maintaining high accuracy. The team also releases PDEZoo, a 2-million-PDE benchmark dataset that standardizes evaluation of finite-compute PDE solving, establishing that Monte Carlo errors are learnable and correctable through single-pass neural correction.