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20212026
most citedMachine Learning For Elliptic PDEs: Fast Rate Generalization Bound, Neural Scaling Law and Minimax Optimality

11 citations · 27 across the 22 of their papers we have counts for

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math.NA2025

Physics-Informed Inference Time Scaling for Solving High-Dimensional PDE via Defect Correction

Zexi Fan, Yan Sun, Shihao Yang +1

Solving high-dimensional partial differential equations (PDEs) is a critical challenge where modern data-driven solvers often lack reliability and rigorous error guarantees. We int…

math.NA2025

What is a Sketch-and-Precondition Derivation for Low-Rank Approximation? Inverse Power Error or Inverse Power Estimation?

Ruihan Xu, Yiping Lu

Randomized sketching accelerates large-scale numerical linear algebra by reducing computational complexity. While the traditional sketch-and-solve approach reduces the problem size…