Sebastian Krämer, M.Sc.Institut für Geometrie und Praktische MathematikRWTH Aachen Templergraben 55 52056 Aachen Germany advisor: Lars Grasedyck office: Hauptgegbäude 104.2 phone: +49 241 80-94875fax: +49 241 80-693951 email: kraemer@igpm.rwth-aachen.de
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Publications
| S. Krämer, A geometric description of feasible singular values in the tensor train format. SIAM Journal on Matrix Analysis and Applications, 40 (2019), pp. 1153-1178 |
[SIMAX] | |
| L. Grasedyck and S. Krämer, Stable ALS approximation in the TT-format for rank-adaptive tensor completion. Numerische Mathematik, (2019) |
[Springer] | |
| L. Grasedyck, M. Kluge, and S. Krämer, Variants of alternating least squares tensor completion in the tensor train format. SIAM Journal on Scientific Computing 37 (2015), pp. A2424-A2450. |
[SISC] |
Repositories
| Tensor Node Toolbox Toolbox for labeled, automatized tensor network arithmetic. |
[Git Repository] [Live Script Walkthrough] |
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| TT Feasibility Toolbox Mini-toolbox for "A Geometrical Description of Feasible Singular Values in the Tensor Train Format". |
[Git Repository] [Live Script Walkthrough] |
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| SALSA Implementation Implementation of SALSA for "Stable ALS Approximation in the TT-Format for Rank-Adaptive Tensor Completion". |
[Git Repository] [Singular Value Plot] |
Other Implementations
| SALSA for matrices and its monte carlo version. | [Tar archive] |
Presentations (with updated titles)
L. Grasedyck and S. Krämer: Approximate Interpolation of High Dimensional, Scattered Data in Tree Tensor Formats
| Talk: | Approximate Interpolation of High Dimensional, Scattered Data in Tree Tensor Formats. International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP), Crete, Greece, 2019 |
[LINK] | |
| Talk: | Approximate Interpolation of High Dimensional, Scattered Data in Tree Tensor Formats. GAMM Annual Meeting, Vienna, Austria, 2019 |
[LINK] | |
| Talk: | Approximate Interpolation of High Dimensional, Scattered Data in Tree Tensor Formats. Algorithms and Applications of High Dimensional Approximation, Bath, England, 2019 |
[LINK] | |
| Talk: | Stable Low-Rank and Off-Grid Approximate Interpolation in Tree Tensor Formats. HCM Workshop: Analysis and Computation in High Dimensions, Bonn, Germany, 2018 |
[LINK] | |
| Talk: | Stable Low-Rank and Off-Grid Approximate Interpolation in Tree Tensor Formats. Kompaktseminar Numerik 2018, Kaub, Germany, 2018 |
[LINK] |
S. Krämer: A Geometrical Description of Feasible Singular Values in the Tensor Train Format:
| Talk: | A Geometrical Description of Feasible Singular Values in Tree Tensor Formats International Congress on Industrial and Applied Mathematics (ICIAM), Valencia, Spain, 2019 |
[LINK] | |
| Talk: | A Geometrical Description of Feasible Singular Values in Tree Tensor Formats MPI Workshop on Low-rank Optimization and Applications, Leipzig, Germany, 2019 |
[LINK] | |
| Talk: | Geometrical Description of Feasible Singular Values in Tree Tensor Formats SIAM Conference on Applied Linear Algebra (SIAM-ALA18), Hong Kong, 2018 |
[LINK] | |
| Talk: | Feasible Singular Values for Hierarchical Tensors Algebraic Geometry, Approximation, and Optimisation, Creswick, Australia, 2018 |
[LINK] | |
| Poster: | The Geometrical Description of Feasible Singular Values in the Tensor Train Format. Workshop A1, FoCM '17 (2nd), Barcelona, Spain, 2017 |
[LINK] | |
| Talk: | The Geometrical Description of Feasible Singular Values in the Tensor Train Format. GAMM Jahrestagung, Weimar, Germany, 2017 |
[LINK] |
L. Grasedyck and S. Krämer: Stable ALS Approximation in the TT-Format for Rank-Adaptive Tensor Completion:
| Talk: | Stable ALS Approximation for Rank-Adaptive Tensor Completion. GAMM Jahrestagung, Munich, Germany, 2018 |
[LINK] | |
| Poster: | Stable ALS Approximation in the TT-Format for Rank-Adaptive Tensor Completion. Workshop B7, FoCM '17 (2nd), Barcelona, Spain, 2017 |
[LINK] | |
| Talk: | Stable ALS Approximation in the TT-Format for Rank-Adaptive Tensor Completion. UNCECOMP (2nd), Rhodes, Greece, 2017 |
[LINK] | |
| Talk: | Stable ALS Approximation in the TT-Format for Rank-Adaptive Tensor Completion. METT VII, Pisa, Italy, 2017 |
[LINK] | |
| Talk: | Semi-Implicit Rank Adaption for Alternating Tensor Completion in the TT Format. ILAS, Leuven, Belgium, 2016 |
[LINK] |
L. Grasedyck, M. Kluge, and S. Krämer: Variants of Alternating Least Squares Tensor Completion in The Tensor Train Format:
| Talk: | A Variant of Alternating Least Squares Tensor Completion in the TT-Format. Siam Conference on Applied Linear Algebra, Atlanta, USA, 2015 |
[LINK] | |
| Poster: | A Variant of Alternating Least Squares Tensor Completion in the TT-Format. Workshop: Low-rank Optimization and Applications (Hausdorff Center for Mathematics), Bonn, Germany, 2015 |
[LINK] |
Main Teaching
| Mathematik I/II (for civil engineers) | [WS1819-SS19] | |
| Begleitpraktikum II (for mathematicians) | [SS18] | |
| Numerische Mathematik IV (for mathematicians) | [WS1718] | |
| Numerische Mathematik (for electrical engineers) | [SS17] | |
| Numerische Mathematik IV (for mathematicians) | [WS1617] | |
| Seminar "Aktuelle Themen der Numerik" (for mathematicians) | [SS16] | |
| Numerische Multilineare Algebra (for mathematicians) | [SS16] | |
| Numerische Mathematik III (for mathematicians) | [WS1516] | |
| Numerische Mathematik II (for mathematicians) | [SS15] | |
| Numerische Mathematik I (for mathematicians) | [WS1415] | |
| Begleitpraktikum I / II (for mathematicians, during studies) | [2009-2011, 2012-2014] |