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07/13/2023
Implicit regularization in AI meets generalized hardness of approximation in optimization – Sharp results for diagonal linear networks
Understanding the implicit regularization imposed by neural network arch...
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09/13/2021
The mathematics of adversarial attacks in AI – Why deep learning is unstable despite the existence of stable neural networks
The unprecedented success of deep learning (DL) makes it unchallenged wh...
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01/20/2021
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...
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11/16/2020
On the infinite-dimensional QR algorithm
Spectral computations of infinite-dimensional operators are notoriously ...
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01/05/2020
The troublesome kernel: why deep learning for inverse problems is typically unstable
There is overwhelming empirical evidence that Deep Learning (DL) leads t...
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06/04/2019
What do AI algorithms actually learn? - On false structures in deep learning
There are two big unsolved mathematical questions in artificial intellig...
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04/30/2019
Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling
Infinite-dimensional compressed sensing deals with the recovery of analo...
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02/14/2019