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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 2024 · math.SPShow all

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math.SP2024★ 1 cited

A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity

Catherine Drysdale, Matthew J. Colbrook

The Hypothalamic-Pituitary-Adrenal (HPA) axis is a major neuroendocrine system, and its dysregulation is implicated in various diseases. This system also presents interesting mathe…

math.SP2024

Computing Spectral Size: Rigorous Algorithms and the Limits of Computation

Matthew J. Colbrook, Mark Embree, Jake Fillman

Many structures in mathematical physics and dynamics exhibit intricate fractal geometry. Such behavior appears prominently in quantum mechanics and materials science through spectr…