Vladimir A. Kazeev

Publication Activity (10 Years)

Years Active: 2012-2024
Publications (10 Years): 9

Top Topics

Backpropagation Neural Networks

Chemical Reaction

Top Venues

Adv. Comput. Math.

Math. Comput. Simul.

SIAM J. Matrix Anal. Appl.

Publications

Clemens Karner, Vladimir A. Kazeev, Philipp Christian Petersen
Limitations of neural network training due to numerical instability of backpropagation. Adv. Comput. Math. 50 (1) (2024)
Vladimir A. Kazeev, Ivan V. Oseledets, Maxim V. Rakhuba, Christoph Schwab
Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions. Multiscale Model. Simul. 20 (3) (2022)
Clemens Karner, Vladimir A. Kazeev, Philipp Christian Petersen
Limitations of neural network training due to numerical instability of backpropagation. CoRR (2022)
Vladimir A. Kazeev, Ivan V. Oseledets, Maksim Rakhuba, Christoph Schwab
Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions. CoRR (2020)
Markus Bachmayr, Vladimir A. Kazeev
Stability of Low-Rank Tensor Representations and Structured Multilevel Preconditioning for Elliptic PDEs. Found. Comput. Math. 20 (5) (2020)
Vladimir A. Kazeev, Christoph Schwab
Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions. Numerische Mathematik 138 (1) (2018)
Sergey Dolgov, Vladimir A. Kazeev, Boris N. Khoromskij
Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients. Math. Comput. Simul. 145 (2018)
Vladimir A. Kazeev, Ivan V. Oseledets, Maksim Rakhuba, Christoph Schwab
QTT-finite-element approximation for multiscale problems I: model problems in one dimension. Adv. Comput. Math. 43 (2) (2017)
Vladimir A. Kazeev, Christoph Schwab
Tensor Approximation of Stationary Distributions of Chemical Reaction Networks. SIAM J. Matrix Anal. Appl. 36 (3) (2015)
Vladimir A. Kazeev, Mustafa Khammash, Michael Nip, Christoph Schwab
Direct Solution of the Chemical Master Equation Using Quantized Tensor Trains. PLoS Comput. Biol. 10 (3) (2014)
Vladimir A. Kazeev, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity. SIAM J. Sci. Comput. 35 (3) (2013)
Vladimir A. Kazeev, Boris N. Khoromskij
Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse. SIAM J. Matrix Anal. Appl. 33 (3) (2012)