Dmitry V. Savostyanov
Computational Mathematics · 2008–2014
A researcher in the Science corpus: 12 papers; trusts 56 researchers and is trusted by 37 researchers here, as inferred from the citation graph.
Subfields
- Computational Mathematics — 126 citations into it; #22 of 612 by trust here, #19 by citations
- Computational Theory and Mathematics — 106 citations into it; #641 of 12,182 by trust here, #787 by citations
- Atomic and Molecular Physics, and Optics — 43 citations into it; #337 of 7,135 by trust here, #1,971 by citations
- Signal Processing — 34 citations into it; #3,987 of 7,572 by trust here, #5,340 by citations
- Numerical Methods & Scientific Computing — 33 citations into it; #175 of 266 by trust here, #172 by citations
- Computational Mechanics — 28 citations into it; #2,953 of 10,001 by trust here, #5,350 by citations
- Artificial Intelligence — 25 citations into it; #18,502 of 35,345 by trust here, #24,417 by citations
- Statistical and Nonlinear Physics — 23 citations into it
Whom Dmitry V. Savostyanov trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Ivan V. Oseledets
- E. E. Tyrtyshnikov
- Boris N. Khoromskij
- Sergei A. Goreinov
- Lars Grasedyck
- Lieven De Lathauwer
- Wolfgang Hackbusch
- Tamara G. Kolda
- Venera Khoromskaia
- Mark Coppejans
Who trusts Dmitry V. Savostyanov overall
- Ivan V. Oseledets
- Boris N. Khoromskij
- Sergey V. Dolgov
- Vladimir A. Kazeev
- E. E. Tyrtyshnikov
- Roman Andreev
- Sergei A. Goreinov
- Venera Khoromskaia
- V. Dolgov
- Christine Tobler
Papers from Dmitry V. Savostyanov's perspective
Ordered by how strongly the researchers Dmitry V. Savostyanov trusts endorse each paper. Same corpus, a different order for every researcher.
- Tensor Decompositions and Applications
- Some mathematical notes on three-mode factor analysis
- Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
- f¨ur Mathematik in den Naturwissenschaften Leipzig Hierarchical Singular Value Decomposition of Tensors
- TT-cross approximation for multidimensional arrays
- Breaking the Curse of Dimensionality
- Rank-One Approximation to High Order Tensors (SIAM Journal on Matrix Analysis and Applications)
- Efficient classical simulation of slightly entangled quantum computations.
- Tensor-Train Decomposition
- The Expression of a Tensor or a Polyadic as a Sum of Products
Their papers
- Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time (2008) — 198 citations
- Wedderburn Rank Reduction and Krylov Subspace Method for Tensor Approximation. Part 1: Tucker Case (2010) — 31 citations
- How to find a good submatrix (2010) — 298 citations
- Cross approximation in tensor electron density computations (2010) — 28 citations
- Linear algebra for tensor problems (2009) — 57 citations
- Fast adaptive interpolation of multi-dimensional arrays in tensor train format (2011) — 160 citations
- Fast truncation of mode ranks for bilinear tensor operations (2010) — 10 citations
- Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions (2013) — 100 citations
- QTT-rank-one vectors with QTT-rank-one and full-rank Fourier images (2012) — 13 citations
- ALTERNATING MINIMAL ENERGY METHODS FOR LINEAR SYSTEMS IN HIGHER DIMENSIONS∗ (2014)
- Superfast Fourier Transform Using QTT Approximation (2012) — 89 citations
- Verification of the cross 3D algorithm on quantum chemistry data (2008) — 33 citations