Sebastian Krämer, M.Sc.

Institut für Geometrie und Praktische Mathematik
RWTH Aachen
Templergraben 55
52056 Aachen
Germany

advisor:

Lars Grasedyck

office:

Hauptgegbäude 104.2

phone:

+49 241 80-80-94875

fax:

+49 241 80-92317

email:

kraemer@igpm.rwth-aachen.de

S. Krämer, The Geometrical Description of Feasible Singular Values in the Tensor Train Format. Preprint.		[arXiv]
L. Grasedyck and S. Krämer, Stable ALS Approximation in the TT-Format for Rank-Adaptive Tensor Completion. Preprint.		[IGPM] [arXiv]
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(5):A2424--A2450, 2015.		[epubs.siam]

TT Feasibility Toolbox
Mini-toolbox for "A Geometrical Description of Feasible Singular Values in the Tensor Train Format".

[Git Repository]
[Live Script Walkthrough]

SALSA from "Stable ALS Approximation in the TT-Format for Rank-Adaptive Tensor Completion". A C++ implementation is in progress.		[Matlab Implementation]
ADF/ALS from "Variants of Alternating Least Squares Tensor Completion in The Tensor Train Format". This version is not user-friendly and the algorithm has been superseded by SALSA. Please have a look into it instead.		[C Implementation]

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]

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]

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]

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]

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]