Reinhold Schneider

Publication Activity (10 Years)

Years Active: 1993-2023
Publications (10 Years): 22

Top Topics

High Dimensions

Soft Thresholding

Differential Equations

Top Venues

Numerische Mathematik

Found. Comput. Math.

Comput. Methods Appl. Math.

Publications

Michael Griebel, Helmut Harbrecht, Reinhold Schneider
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. Math. Comput. 92 (342) (2023)
Martin Eigel, Reinhold Schneider, David Sommer
Dynamical low-rank approximations of solutions to the Hamilton-Jacobi-Bellman equation. Numer. Linear Algebra Appl. 30 (3) (2023)
Michael Griebel, Helmut Harbrecht, Reinhold Schneider
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. CoRR (2022)
Mathias Oster, Leon Sallandt, Reinhold Schneider
Approximating Optimal feedback Controllers of Finite Horizon Control Problems Using Hierarchical Tensor Formats. SIAM J. Sci. Comput. 44 (3) (2022)
Konstantin Fackeldey, Mathias Oster, Leon Sallandt, Reinhold Schneider
Approximative Policy Iteration for Exit Time Feedback Control Problems Driven by Stochastic Differential Equations using Tensor Train Format. Multiscale Model. Simul. 20 (1) (2022)
Mathias Oster, Leon Sallandt, Reinhold Schneider
Approximating optimal feedback controllers of finite horizon control problems using hierarchical tensor formats. CoRR (2021)
Michael Götte, Reinhold Schneider, Philipp Trunschke
A Block-Sparse Tensor Train Format for Sample-Efficient High-Dimensional Polynomial Regression. Frontiers Appl. Math. Stat. 7 (2021)
Michael Götte, Reinhold Schneider, Philipp Trunschke
A block-sparse Tensor Train Format for sample-efficient high-dimensional Polynomial Regression. CoRR (2021)
Markus Bachmayr, Anthony Nouy, Reinhold Schneider
Approximation by tree tensor networks in high dimensions: Sobolev and compositional functions. CoRR (2021)
Moritz Geist, Philipp Petersen, Mones Raslan, Reinhold Schneider, Gitta Kutyniok
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks. J. Sci. Comput. 88 (1) (2021)
Martin Eigel, Manuel Marschall, Max Pfeffer, Reinhold Schneider
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. Numerische Mathematik 145 (3) (2020)
Moritz Geist, Philipp Petersen, Mones Raslan, Reinhold Schneider, Gitta Kutyniok
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks. CoRR (2020)
Martin Eigel, Reinhold Schneider, Philipp Trunschke
Convergence bounds for empirical nonlinear least-squares. CoRR (2020)
Martin Eigel, Johannes Neumann, Reinhold Schneider, Sebastian Wolf
Non-intrusive Tensor Reconstruction for High-Dimensional Random PDEs. Comput. Methods Appl. Math. 19 (1) (2019)
Gitta Kutyniok, Philipp Petersen, Mones Raslan, Reinhold Schneider
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs. CoRR (2019)
Martin Eigel, Reinhold Schneider, Philipp Trunschke, Sebastian Wolf
Variational Monte Carlo - bridging concepts of machine learning and high-dimensional partial differential equations. Adv. Comput. Math. 45 (5) (2019)
Fabian M. Faulstich, Andre Laestadius, Örs Legeza, Reinhold Schneider, Simen Kvaal
Analysis of the Tailored Coupled-Cluster Method in Quantum Chemistry. SIAM J. Numer. Anal. 57 (6) (2019)
Markus Bachmayr, Reinhold Schneider
Iterative Methods Based on Soft Thresholding of Hierarchical Tensors. Found. Comput. Math. 17 (4) (2017)
Martin Eigel, Max Pfeffer, Reinhold Schneider
Adaptive stochastic Galerkin FEM with hierarchical tensor representations. Numerische Mathematik 136 (3) (2017)
Holger Rauhut, Reinhold Schneider, Zeljka Stojanac
Low rank tensor recovery via iterative hard thresholding. CoRR (2016)
Helmut Harbrecht, Reinhold Schneider
A Note on Multilevel Based Error Estimation. Comput. Methods Appl. Math. 16 (3) (2016)
Markus Bachmayr, Reinhold Schneider, André Uschmajew
Tensor Networks and Hierarchical Tensors for the Solution of High-Dimensional Partial Differential Equations. Found. Comput. Math. 16 (6) (2016)
Reinhold Schneider, André Uschmajew
Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality. SIAM J. Optim. 25 (1) (2015)
Holger Rauhut, Reinhold Schneider, Zeljka Stojanac
Tensor completion in hierarchical tensor representations. CoRR (2014)
Reinhold Schneider, André Uschmajew
Convergence results for projected line-search methods on varieties of low-rank matrices via Łojasiewicz inequality. CoRR (2014)
Markus Bachmayr, Huajie Chen, Reinhold Schneider
Error estimates for Hermite and even-tempered Gaussian approximations in quantum chemistry. Numerische Mathematik 128 (1) (2014)
Reinhold Schneider, André Uschmajew
Approximation rates for the hierarchical tensor format in periodic Sobolev spaces. J. Complex. 30 (2) (2014)
Venera Khoromskaia, Boris N. Khoromskij, Reinhold Schneider
Tensor-Structured Factorized Calculation of Two-Electron Integrals in a General Basis. SIAM J. Sci. Comput. 35 (2) (2013)
Christian Lubich, Thorsten Rohwedder, Reinhold Schneider, Bart Vandereycken
Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors. SIAM J. Matrix Anal. Appl. 34 (2) (2013)
Sebastian Holtz, Thorsten Rohwedder, Reinhold Schneider
On manifolds of tensors of fixed TT-rank. Numerische Mathematik 120 (4) (2012)
Sebastian Holtz, Thorsten Rohwedder, Reinhold Schneider
The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format. SIAM J. Sci. Comput. 34 (2) (2012)
Mike Espig, Wolfgang Hackbusch, Thorsten Rohwedder, Reinhold Schneider
Variational calculus with sums of elementary tensors of fixed rank. Numerische Mathematik 122 (3) (2012)
Venera Khoromskaia, Boris N. Khoromskij, Reinhold Schneider
QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations. Comput. Methods Appl. Math. 11 (3) (2011)
Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser
Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization. Adv. Comput. Math. 34 (1) (2011)
Mike Espig, Wolfgang Hackbusch, Stefan Handschuh, Reinhold Schneider
Optimization problems in contracted tensor networks. Comput. Vis. Sci. 14 (6) (2011)
Reinhold Schneider
Analysis of the projected coupled cluster method in electronic structure calculation. Numerische Mathematik 113 (3) (2009)
Helmut Harbrecht, Reinhold Schneider, Christoph Schwab
Multilevel frames for sparse tensor product spaces. Numerische Mathematik 110 (2) (2008)
Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser
Adaptive eigenvalue computation: complexity estimates. Numerische Mathematik 110 (3) (2008)
Helmut Harbrecht, Reinhold Schneider, Christoph Schwab
Sparse second moment analysis for elliptic problems in stochastic domains. Numerische Mathematik 109 (3) (2008)
Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider
Adaptive methods for boundary integral equations: Complexity and convergence estimates. Math. Comput. 76 (259) (2007)
Karsten Eppler, Helmut Harbrecht, Reinhold Schneider
On Convergence in Elliptic Shape Optimization. SIAM J. Control. Optim. 46 (1) (2007)
Arne Barinka, Wolfgang Dahmen, Reinhold Schneider
Fast computation of adaptive wavelet expansions. Numerische Mathematik 105 (4) (2007)
Michael Gnewuch, René Lindloh, Reinhold Schneider, Anand Srivastav
Cubature formulas for function spaces with moderate smoothness. J. Complex. 23 (4-6) (2007)
Reinhold Schneider, Yuesheng Xu, Aihui Zhou
An analysis of discontinuous Galerkin methods for elliptic problems. Adv. Comput. Math. 25 (1-3) (2006)
Helmut Harbrecht, Reinhold Schneider
Wavelet Galerkin Schemes for Boundary Integral Equations-Implementation and Quadrature. SIAM J. Sci. Comput. 27 (4) (2006)
Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider
Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates. SIAM J. Numer. Anal. 43 (6) (2006)
Sven Beuchler, Reinhold Schneider, Christoph Schwab
Multiresolution weighted norm equivalences and applications. Numerische Mathematik 102 (2) (2005)
Sven Beuchler, Reinhold Schneider, Christoph Schwab
Multiresolution weighted norm equivalences and applications. Numerische Mathematik 98 (1) (2004)
Gabriel N. Gatica, Helmut Harbrecht, Reinhold Schneider
Least Squares Methods for the Coupling of FEM and BEM. SIAM J. Numer. Anal. 41 (5) (2003)
Helmut Harbrecht, Freddy Paiva, Cristian Pérez, Reinhold Schneider
Multiscale preconditioning for the coupling of FEM-BEM. Numer. Linear Algebra Appl. 10 (3) (2003)
Helmut Harbrecht, Sergei V. Pereverzev, Reinhold Schneider
Self-regularization by projection for noisy pseudodifferential equations of negative order. Numerische Mathematik 95 (1) (2003)
Wolfgang Dahmen, Angela Kunoth, Reinhold Schneider
Wavelet Least Squares Methods for Boundary Value Problems. SIAM J. Numer. Anal. 39 (6) (2002)
Helmut Harbrecht, Freddy Paiva, Cristian Pérez, Reinhold Schneider
Biorthogonal wavelet approximation for the coupling of FEM-BEM. Numerische Mathematik 92 (2) (2002)
Wolfgang Dahmen, Reinhold Schneider, Yuesheng Xu
Nonlinear functionals of wavelet expansions - adaptive reconstruction and fast evaluation. Numerische Mathematik 86 (1) (2000)
Wolfgang Dahmen, Reinhold Schneider
Composite wavelet bases for operator equations. Math. Comput. 68 (228) (1999)
Wolfgang Dahmen, Reinhold Schneider
Wavelets on Manifolds I: Construction and Domain Decomposition. SIAM J. Math. Anal. 31 (1) (1999)
Wolfgang Dahmen, S. Prössdorf, Reinhold Schneider
Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution. Adv. Comput. Math. 1 (3) (1993)