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math.NA 1

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2026 1

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Neural Networks for Singular Perturbations -- Finite Regularity

math.NA · 2026-05-14 · unverdicted · novelty 7.0

Establishes ε-robust algebraic rate bounds for P1 finite elements on special meshes and for ReLU and tanh neural networks in approximating solutions to singularly perturbed boundary value problems under low Sobolev regularity.

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  • Neural Networks for Singular Perturbations -- Finite Regularity math.NA · 2026-05-14 · unverdicted · none · ref 16

    Establishes ε-robust algebraic rate bounds for P1 finite elements on special meshes and for ReLU and tanh neural networks in approximating solutions to singularly perturbed boundary value problems under low Sobolev regularity.