Reinhold Schneider

57 papers Journal 57

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