arXiv Machine Learning By Aadi Dash, Lennon J. Shikhman, Michael Galarnyk

Does Text Steer Neural PDE Surrogates? A Controlled Diagnostic with OperatorCLIP

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The study investigates whether text conditioning improves neural partial differential equation (PDE) surrogates by using OperatorCLIP. Experiments compare an unconditioned Fourier Neural Operator (FNO), a constant-sentence FiLM control, and a task‑specific text description trained with contrastive alignment across Darcy2D, ShallowWater2D, and 3D compressible Navier‑Stokes. Results show that constant conditioning yields lower mean test error on 2D tasks, while task text plus alignment performs similarly or worse, with significant seed uncertainty and no clear semantic ordering from prompt interventions.

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