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A supervised learning problem is to find a function in a hypothesis function space given values on isolated data points.
Solutions of ill-posed problems
Andrej Nikolaevich Tikhonov and Vasiliy Yakovlevich Arsenin · 1977
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Partial differential equations
Lawrence C. Evans · 1999
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Sobolev spaces
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Semi-supervised learning with the graph Laplacian: the limit of infinite unlabelled data
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Weighted nonlocal Laplacian
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Neural tangent kernel: convergence and generalization in neural networks
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A phase shift deep neural network for high frequency approximation and wave problems
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Machine learning from a continuous viewpoint, I
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On the exact computation of linear frequency principle dynamics and its generalization
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