Concepts of linear algebra are generalized to the algebra of higher-order tensors. This includes generalizations of key matrix decompositions, like the singular value decomposition. These concepts are used to develop new signal processing techniques, like independent component analysis and multi-way factor analysis. Some specific applications (mainly in biomedical engineering and wireless communication) are studied in more detail.
Keywords for my research interests are linear and multilinear algebra, statistical signal and array processing, higher-order statistics (HOS), independent component analysis (ICA) and blind source separation (BSS), harmonic analysis, factor analysis, identification, blind identification and equalization.
My publications are available on-line. [IEEE-copyrighted material: Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.]
Special Issue of the SIAM Journal on Matrix Analysis and Applications on Tensor Decompositions and Applications.
Short survey of tensor methods, presented at
ISCAS 2009, May 2009, Taipei, Taiwan.
Int. Conf. on Tensor Decompositions and Applications (TDA 2010), Sept. 13-17, 2010, Monopoli, Bari,
Italy. (More information will follow.)
Caution: Tensors may be hazardous to your health.
Lieven De Lathauwer
K.U.Leuven - E.E. Dept. (ESAT) - SCD-SISTA
Kasteelpark Arenberg 10
B-3001 Leuven-Heverlee
Belgium
email: Lieven dot DeLathauwer at esat dot kuleuven dot be
Lieven dot DeLathauwer at kuleuven-kortrijk dot be
fax: +32/16/32.19.70
tel: +32/16/32.86.51 (office)