Sergei V. Pereverzev

Publication Activity (10 Years)

Years Active: 1992-2024
Publications (10 Years): 3

Top Topics

Tikhonov Regularization

Activation Function

Infinite Dimensional

Top Venues

Appl. Math. Comput.

Numerische Mathematik

Comput. Methods Appl. Math.

Publications

Yuanyuan Li, Shuai Lu, Peter Mathé, Sergei V. Pereverzev
activation function: Barron spaces and derivative approximation. Numerische Mathematik 156 (1) (2024)
Sergei V. Pereverzev, Sergei G. Solodky, Vitalii B. Vasylyk, Mark Zic
Regularized Collocation in Distribution of Diffusion Times Applied to Electrochemical Impedance Spectroscopy. Comput. Methods Appl. Math. 20 (3) (2020)
Peter Mathé, Sergei V. Pereverzev
Complexity of linear ill-posed problems in Hilbert space. J. Complex. 38 (2017)
Hui Cao, Sergei V. Pereverzev, Eva Sincich
Discretized Tikhonov regularization for Robin boundaries localization. Appl. Math. Comput. 226 (2014)
Shuai Lu, Sergei V. Pereverzev
Multi-parameter regularization and its numerical realization. Numerische Mathematik 118 (1) (2011)
Shuai Lu, Sergei V. Pereverzev
Sparse recovery by the standard Tikhonov method. Numerische Mathematik 112 (3) (2009)
Peter Mathé, Sergei V. Pereverzev
The use of higher order finite difference schemes is not dangerous. J. Complex. 25 (1) (2009)
Shuai Lu, Sergei V. Pereverzev, Ulrich Tautenhahn
Regularized Total Least Squares: Computational Aspects and Error Bounds. SIAM J. Matrix Anal. Appl. 31 (3) (2009)
M. Thamban Nair, Sergei V. Pereverzev
Regularized collocation method for Fredholm integral equations of the first kind. J. Complex. 23 (4-6) (2007)
Raytcho D. Lazarov, Shuai Lu, Sergei V. Pereverzev
On the balancing principle for some problems of Numerical Analysis. Numerische Mathematik 106 (4) (2007)
Frank Bauer, Sergei V. Pereverzev, Lorenzo Rosasco
On regularization algorithms in learning theory. J. Complex. 23 (1) (2007)
Peter Mathé, Sergei V. Pereverzev
Regularization of some linear ill-posed problems with discretized random noisy data. Math. Comput. 75 (256) (2006)
Shuai Lu, Sergei V. Pereverzev
Numerical differentiation from a viewpoint of regularization theory. Math. Comput. 75 (256) (2006)
Peter Mathé, Sergei V. Pereverzev
The discretized discrepancy principle under general source conditions. J. Complex. 22 (3) (2006)
Sergei V. Pereverzev, Eberhard Schock
On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems. SIAM J. Numer. Anal. 43 (5) (2005)
Helmut Harbrecht, Sergei V. Pereverzev, Reinhold Schneider
Self-regularization by projection for noisy pseudodifferential equations of negative order. Numerische Mathematik 95 (1) (2003)
Peter Mathé, Sergei V. Pereverzev
Stable Summation of Orthogonal Series with Noisy Coefficients. J. Approx. Theory 118 (1) (2002)
Sergei V. Pereverzev, Grzegorz W. Wasilkowski
Dagstuhl 2000. J. Complex. 18 (2) (2002)
Peter Mathé, Sergei V. Pereverzev
Direct Estimation of Linear Functionals from Indirect Noisy Observations. J. Complex. 18 (2) (2002)
Peter Mathé, Sergei V. Pereverzev
Optimal Discretization of Inverse Problems in Hilbert Scales. Regularization and Self-Regularization of Projection Methods. SIAM J. Numer. Anal. 38 (6) (2001)
Peter Maaß, Sergei V. Pereverzev, Ronny Ramlau, Sergei G. Solodky
An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection. Numerische Mathematik 87 (3) (2001)
Sergei V. Pereverzev, Eberhard Schock
Brakhage's Implicit Iteration Method and the Information Complexity of Equations with Operators Having Closed Range. J. Complex. 15 (3) (1999)
Karin Frank, Stefan Heinrich, Sergei V. Pereverzev
Information Complexity of Multivariate Fredholm Integral Equations in Sobolev Classes. J. Complex. 12 (1) (1996)
Sergei V. Pereverzev, Sergei G. Solodky
The Minimal Radius of Galerkin Information for the Fredholm Problem of the First Kind. J. Complex. 12 (4) (1996)
Sergei V. Pereverzev, Sergei G. Solodky
On Optimization of Direct Methods of Solving Weakly Singular Integral Equations. J. Complex. 9 (2) (1993)
Sergei V. Pereverzev, Cosnazar C. Scharipov
Information complexity of equations of the second kind with compact operators in Hilbert space. J. Complex. 8 (2) (1992)