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arXiv preprint arXiv:2512.01370 , year=

Beyond Loss Guidance: Using PDE Residuals as Spectral Attention in Diffusion Neural Operators , author= · arXiv 2512.01370

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Error-Conditioned Neural Solvers

cs.LG · 2026-06-25 · unverdicted · novelty 6.0

Error-Conditioned Neural Solvers improve PDE prediction accuracy by using the residual field as network input for learned corrections, outperforming residual-minimization methods by up to 10x on turbulent flows and generalizing better under distribution shifts.

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  • Error-Conditioned Neural Solvers cs.LG · 2026-06-25 · unverdicted · none · ref 12

    Error-Conditioned Neural Solvers improve PDE prediction accuracy by using the residual field as network input for learned corrections, outperforming residual-minimization methods by up to 10x on turbulent flows and generalizing better under distribution shifts.