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ORCIDVladimir A. Kazeev
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- affiliation: University of Vienna, Austria
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2020 – today
- 2024
[j10]Clemens Karner, Vladimir A. Kazeev, Philipp Christian Petersen
:
Limitations of neural network training due to numerical instability of backpropagation. Adv. Comput. Math. 50(1): 14 (2024)- 2022
- [j9]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): 893-935 (2022) - [i2]Clemens Karner, Vladimir A. Kazeev, Philipp Christian Petersen:
Limitations of neural network training due to numerical instability of backpropagation. CoRR abs/2210.00805 (2022) - 2020
- [j8]Markus Bachmayr, Vladimir A. Kazeev:
Stability of Low-Rank Tensor Representations and Structured Multilevel Preconditioning for Elliptic PDEs. Found. Comput. Math. 20(5): 1175-1236 (2020) - [i1]Vladimir A. Kazeev, Ivan V. Oseledets, Maksim Rakhuba, Christoph Schwab:
Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions. CoRR abs/2006.01455 (2020)
2010 – 2019
- 2018
- [j7]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: 136-155 (2018) - [j6]Vladimir A. Kazeev, Christoph Schwab:
Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions. Numerische Mathematik 138(1): 133-190 (2018) - 2017
- [j5]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): 411-442 (2017) - 2015
- [j4]Vladimir A. Kazeev, Christoph Schwab:
Tensor Approximation of Stationary Distributions of Chemical Reaction Networks. SIAM J. Matrix Anal. Appl. 36(3): 1221-1247 (2015) - 2014
- [j3]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) - 2013
- [j2]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) - 2012
- [j1]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): 742-758 (2012)
Coauthor Index
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