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20162026
most citedCan stable and accurate neural networks be computed? -- On the barriers of deep learning and Smale's 18th problem

130 citations · 345 across the 38 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.SP2019★ 3 cited

On the computation of geometric features of spectra of linear operators on Hilbert spaces

Matthew J. Colbrook

Computing spectra is a central problem in computational mathematics with an abundance of applications throughout the sciences. However, in many applications gaining an approximatio…

math.SP2019★ 2 cited

The foundations of spectral computations via the Solvability Complexity Index hierarchy

Matthew J. Colbrook, Anders C. Hansen

The problem of computing spectra of operators is arguably one of the most investigated areas of computational mathematics. However, the problem of computing spectra of general boun…

math.SP2019

Computing Spectral Measures and Spectral Types

Matthew John Colbrook

Spectral measures arise in numerous applications such as quantum mechanics, signal processing, resonances, and fluid stability. Similarly, spectral decompositions (pure point, abso…