115 citations · 383 across the 27 of their papers we have counts for
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Expressive power of recurrent neural networks
Valentin Khrulkov, Alexander Novikov, Ivan Oseledets
Deep neural networks are surprisingly efficient at solving practical tasks, but the theory behind this phenomenon is only starting to catch up with the practice. Numerous works sho…
Art of singular vectors and universal adversarial perturbations
Valentin Khrulkov, Ivan Oseledets
Vulnerability of Deep Neural Networks (DNNs) to adversarial attacks has been attracting a lot of attention in recent studies. It has been shown that for many state of the art DNNs…
Vico-Greengard-Ferrando quadratures in the tensor solver for integral equations
Valentin Khrulkov, Maxim Rakhuba, Ivan Oseledets
Convolution with Green's function of a differential operator appears in a lot of applications e.g. Lippmann-Schwinger integral equation. Algorithms for computing such are usually n…