Search Results for author: Vladimir Kazeev

Found 2 papers, 1 papers with code

Limitations of neural network training due to numerical instability of backpropagation

no code implementations3 Oct 2022 Clemens Karner, Vladimir Kazeev, Philipp Christian Petersen

We study the training of deep neural networks by gradient descent where floating-point arithmetic is used to compute the gradients.

Stability of Low-Rank Tensor Representations and Structured Multilevel Preconditioning for Elliptic PDEs

3 code implementations25 Feb 2018 Markus Bachmayr, Vladimir Kazeev

Folding grid value vectors of size $2^L$ into $L$th order tensors of mode sizes $2\times \cdots\times 2$, combined with low-rank representation in the tensor train format, has been shown to lead to highly efficient approximations for various classes of functions.

Numerical Analysis 15A69, 35J25, 65N12, 65N30, 65N55, 65F08, 65F35, 65Y20

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