A. Hansen

activity

20102026

most citedOn instabilities of deep learning in image reconstruction - Does AI come at a cost?

795 citations · 1.3k across the 32 of their papers we have counts for

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math.OC2022

Generalised hardness of approximation and the SCI hierarchy -- On determining the boundaries of training algorithms in AI

Luca Eva Gazdag, Alexander Bastounis, Anders C. Hansen

Generalised hardness of approximation (GHA) is the phenomenon that one can easily compute an $ε$ -approximation to a solution of a computational problem for $ε > ε_{1} > 0$ , but for $ε…

math.OC2021★ 44 cited

The extended Smale's 9th problem -- On computational barriers and paradoxes in estimation, regularisation, computer-assisted proofs and learning

Alexander Bastounis, Anders C Hansen, Verner Vlačić

Linear and semidefinite programming (LP, SDP), regularisation through basis pursuit (BP) and Lasso have seen great success in mathematics, statistics, data science, computer-assist…