Sebastian Krämer, M.Sc.

Publications

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]

Presentations (with updated titles)

L. Grasedyck and S. Krämer: The Geometrical Description of Feasible Singular Values in the Tensor Train Format:

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, Weimar, Germany, 2017	[LINK]

L. Grasedyck and S. Krämer: Stable ALS Approximation in the TT-Format for Rank-Adaptive Tensor Completion:

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]

Implementations

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 This version is not user-friendly and the algorithm has been superseded by SALSA.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

Teaching

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]