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Can stable and accurate neural networks be computed? – On the barriers of deep learning and Smale's 18th problem
Deep learning (DL) has had unprecedented success and is now entering sci...
01/20/2021 ∙ by Vegard Antun, et al. ∙
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On the infinite-dimensional QR algorithm
Spectral computations of infinite-dimensional operators are notoriously ...
11/16/2020 ∙ by Matthew J. Colbrook, et al. ∙
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Computing spectral measures of self-adjoint operators
Using the resolvent operator, we develop an algorithm for computing smoo...
06/02/2020 ∙ by Matthew J. Colbrook, et al. ∙
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Kernel Density Estimation with Linked Boundary Conditions
Kernel density estimation on a finite interval poses an outstanding chal...
09/20/2018 ∙ by Matthew J. Colbrook, et al. ∙
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