Reinhold Schneider

Computational Mathematics · 2008–2014

A researcher in the Science corpus: 13 papers; trusts 58 researchers and is trusted by 37 researchers here, as inferred from the citation graph.

Subfields

• Computational Mathematics — 136 citations into it; #34 of 612 by trust here, #23 by citations
• Computational Theory and Mathematics — 114 citations into it; #1,295 of 12,182 by trust here, #937 by citations
• Atomic and Molecular Physics, and Optics — 112 citations into it; #1,887 of 7,135 by trust here, #2,921 by citations
• Artificial Intelligence — 51 citations into it
• Computational Mechanics — 50 citations into it; #5,868 of 10,001 by trust here, #5,350 by citations
• Numerical Methods & Scientific Computing — 40 citations into it
• Numerical Analysis — 36 citations into it
• Condensed Matter Physics — 28 citations into it

Whom Reinhold Schneider trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Ivan V. Oseledets
2. Boris N. Khoromskij
3. Wolfgang Hackbusch
4. Lars Grasedyck
5. Jonas Ballani
6. Venera Khoromskaia
7. Lieven De Lathauwer
8. Gregory Beylkin
9. Christian Lubich
10. Vin de Silva

Who trusts Reinhold Schneider overall

1. Sergey V. Dolgov
2. André Uschmajew
3. Boris N. Khoromskij
4. Christine Tobler
5. Thorsten Rohwedder
6. Daniel Kressner
7. Christian Lubich
8. Bart Vandereycken
9. Andrzej S. Cichocki
10. Ivan V. Oseledets

Papers from Reinhold Schneider's perspective

Ordered by how strongly the researchers Reinhold Schneider trusts endorse each paper. Same corpus, a different order for every researcher.

1. Tensor Decompositions and Applications
2. f¨ur Mathematik in den Naturwissenschaften Leipzig Hierarchical Singular Value Decomposition of Tensors
3. A New Scheme for the Tensor Representation
4. Some mathematical notes on three-mode factor analysis
5. A Multilinear Singular Value Decomposition
6. TT-cross approximation for multidimensional arrays
7. Efficient classical simulation of slightly entangled quantum computations.
8. Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
9. Numerical operator calculus in higher dimensions
10. Breaking the Curse of Dimensionality

Their papers

• On manifolds of tensors of fixed TT-rank (2012) — 286 citations
• Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors (2013) — 188 citations
• Optimization problems in contracted tensor networks (2011) — 83 citations
• Concepts of Data-Sparse Tensor-Product Approximation in Many-Particle Modelling (2008) — 11 citations
• Variational calculus with sums of elementary tensors of fixed rank (2012) — 16 citations
• On the low-rank approximation by the pivoted Cholesky decomposition (2012) — 266 citations
• The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format (2012) — 421 citations
• Tensor product methods and entanglement optimization for ab initio quantum chemistry (2014) — 322 citations
• Approximation rates for the hierarchical tensor format in periodic Sobolev spaces (2014) — 82 citations
• Tensor-Structured Factorized Calculation of Two-Electron Integrals in a General Basis (2013) — 38 citations
• Efficient time-stepping scheme for dynamics on TT-manifolds (2012) — 30 citations
• QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations (2011) — 27 citations
• Daubechies wavelets as a basis set for density functional pseudopotential calculations. (2008) — 333 citations