Publications

Articles in internationally reviewed scientific journals

Sorber, L., Van Barel, M., De Lathauwer, L. (2014). Numerical solution of bivariate and polyanalytic polynomial systems. SIAM Journal on Numerical Analysis (accepted)

Vervliet, N., Debals, O., Sorber, L., De Lathauwer, L. (2014). Breaking the curse of dimensionality using decompositions of incomplete tensors. IEEE Signal Processing Magazine (accepted)

Van Barel, M., Humet, M., Sorber, L. (2014). Approximating optimal point configurations for multivariate polynomial interpolation. Electronic Transactions on Numerical Analysis, 42, 41-63

Le, T., Sorber, L., Van Barel, M. (2013). The Pythagoras number of real sum of squares polynomials and sum of square magnitudes of polynomials. Calcolo, 50 (4), 283-303 , pdf

Sorber, L., Van Barel, M., De Lathauwer, L. (2013). Optimization-based algorithms for tensor decompositions: canonical polyadic decomposition, decomposition in rank-$(L_r,L_r,1)$ terms and a new generalization. SIAM Journal on Optimization, 23 (2), 695-720 , pdf

Sorber, L., Van Barel, M., De Lathauwer, L. (2012). Unconstrained optimization of real functions in complex variables. SIAM Journal on Optimization, 22 (3), 879-898 , pdf

Meeting abstracts, presented at international conferences and symposia, published or not published in proceedings or journals

Sorber, L., Van Barel, M., De Lathauwer, L. (2014). Structured Data Fusion with Tensorlab. Householder Symposium XIX on Numerical Linear Algebra. Householder Symposium XIX on Numerical Linear Algebra. Spa, Belgium, 8-13 June 2014.

Sorber, L., Van Barel, M., De Lathauwer, L. (2014). Structured data fusion. SIAM Conference on Optimization. San Diego, California, USA, May 19-22 2014.

Van Barel, M., Kravanja, P., Sorber, L. (2014). Nonlinear eigenvalue problems. 10th International Workshop on Accurate Solution of Eigenvalue Problems (IWASEP). International Workshop on Accurate Solution of Eigenvalue Problems (IWASEP). Dubrovnik, Croatia, 2-5 June 2014.

Sorber, L., Sorensen, M., Van Barel, M., De Lathauwer, L. (2014). From tensor to coupled matrix/tensor decomposition. International Symposium on Mathematical Theory of Networks and Systems (MTNS). Groningen, The Netherlands, 7-11 July 2014.

Sorber, L., Van Barel, M., De Lathauwer, L. (2014). Computation of tensor decompositions via numerical optimization. Workshop: numerical methods for high-dimensional problems. Marne-la-Vallée, France, 14-18 April 2014.

Sorber, L., Van Barel, M., De Lathauwer, L. (2013). Exact line and plane search for tensor optimization by global minimization of bivariate polynomials and rational functions. Numerical Analysis and Scientific Computation with Applications. Calais, France, 24-26 June 2013.

Sorber, L., Domanov, I., Van Barel, M., De Lathauwer, L. (2013). Exact line and plane search for tensor optimization by global minimization of bivariate polynomials and rational functions. SIAM Conference on Computational Science and Engineering. Boston, Massachusetts, USA, February 25-March 1 2013.

Van Barel, M., Humet, M., Sorber, L. (2013). "Good" points for multivariate polynomial interpolation and approximation. TUM-IAS Workshop on Novel Numerical Methods. TUM-IAS Workshop on Novel Numerical Methods. Institute for Advanced Study (TUM-IAS), Garching, Germany, 29-31 July 2013.

Van Barel, M., Humet, M., Sorber, L. (2012). Structured matrices and multivariate orthogonal polynomials. Master Course in Applied Linear Algebra. Athens, Greece, 19 December 2012.

Van Barel, M., Humet, M., Sorber, L. (2012). Structured matrices and multivariate orthogonal polynomials. Structured Matrix Computations in Non Euclidean Geometries: Algorithms and Applications. Luminy, France, 8-12 October 2012.

Sorber, L., Van Barel, M., De Lathauwer, L. (2012). State of the art overview of algorithms for tensor decompositions. TRICAP. Bruges, Belgium, 2-7 June 2012.

Sorber, L., Van Barel, M., De Lathauwer, L. (2012). State of the art overview of algorithms for tensor decompositions. WSC Spring Meeting. University of Antwerp, Antwerp, Belgium, 11 May 2012.

Sorber, L., Van Barel, M., De Lathauwer, L. (2012). Optimization-based algorithms for the decomposition of a tensor in rank-$(L_t,L_t,1)$ terms. Data Mining, Networks and Dynamics (Dagstuhl Seminar 11451): vol. 1 (11). Dagstuhl Seminar on Data Mining, Neworks and Dynamics. Schloss Dagstuhl, Wadern, Germany, 6-11 November 2011, 23-38.

Le, T., Van Barel, M., Sorber, L. (2012). Low-rank representation of sum of squares polynomials and applications. International Congress on Computational and Applied Mathematics. Ghent, 09-12 July 2012.

Sorber, L., Van Barel, M., De Lathauwer, L. (2012). Efficient algorithms for tensor decompositions. SIAM Conference on Applied Linear Algebra. Valencia, Spain, 18-22 June 2012.

Sorber, L., Van Barel, M., De Lathauwer, L. (2011). Tensor decompositions by unconstrained optimization of real functions in complex variables. International conference on Matrix Methods in Mathematics and Applications. Moscow, Russia, 22-25 June 2011.

Sorber, L., Van Barel, M., De Lathauwer, L. (2011). Optimization-based algorithms for the rank-$(L_t,L_t,1)$ Block Term Decomposition and related decompositions. International Linear Algebra Society. Braunschweig, Germany, 22-26 August 2011.

Sorber, L., De Lathauwer, L. (2010). Algorithms for the rank-$(L_t,L_t,1)$ Block Term Decomposition. Tensor Decompositions and Applications. Monopoli, Italy, 13-17 September 2010.

Meeting abstracts, presented at local conferences and symposia, published or not published in proceedings or journals

Sorber, L., Van Barel, M., De Lathauwer, L. (2013). Structured data fusion. OPTEC Steering Advisory Board meeting. Leuven, 21 November 2013.

Sorber, L., Van Barel, M., De Lathauwer, L. (2013). Computing tensor decompositions with complex and polynomial optimization. Centre for Systems Engineering and Applied Mechanics. Louvain-la-Neuve, 30 April 2013.

Sorber, L., Van Barel, M., De Lathauwer, L. (2012). State of the art overview of algorithms for tensor decompositions. OPTEC Seminar on Tensors, Computing, Optimization and Signal Processing. Leuven, 2 May 2012.

Sorber, L., Van Barel, M., De Lathauwer, L. (2012). Efficient algorithms for tensor decompositions. OPTEC MANET Workshop on Tensors and Large Scale Optimization. Leuven, 7 February 2012.

Sorber, L., Van Barel, M., De Lathauwer, L. (2011). Unconstrained optimization of real functions in complex variables. SISTA Seminar. Leuven, 20 April 2011.

Sorber, L., Van Barel, M., De Lathauwer, L. (2011). Block component analysis. Book of abstracts DYSCO Study Day. IAP VI/4 DYSCO Study day. Leuven, 29 November 2011, 21-21.

Sorber, L., Van Barel, M., De Lathauwer, L. (2011). Block component analysis. OPTEC Steering Advisory Board meeting. Leuven, 24 October 2011.

Sorber, L., De Lathauwer, L. (2010). Algorithms for the rank-$(L_t,L_t,1)$ Block Term Decomposition. Book of abstracts DYSCO Study Day. IAP VI/4 DYSCO Study day. Château-Ferme de Profondval, 28-29 October 2010, 21-21.

PhD Theses

Sorber, L., De Lathauwer, L. (sup.), Van Barel, M. (sup.) (2014). Data Fusion: Tensor Factorizations by Complex Optimization (Data fusie: tensor factorisaties d.m.v. complexe optimalisatie).

Internal or technical reports

Van Barel, M., Humet, M., Sorber, L. (2013). Approximating optimal point configurations for multivariate polynomial interpolation. TW Reports, TW637, 27 pp. Leuven, Belgium: Department of Computer Science, KU Leuven.

Le, T., Sorber, L., Van Barel, M. (2012). The Pythagoras number of real sum of squares polynomials and sum of square magnitudes of polynomials. TW Reports, TW612. Leuven, Belgium: Department of Computer Science, KU Leuven.

Sorber, L., Van Barel, M., De Lathauwer, L. (2012). Optimization-based algorithms for tensor decompositions: canonical polyadic decomposition, decomposition in rank-$(L_r,L_r,1)$ terms and a new generalization. ESAT-SISTA Internal Reports, 12-37. Leuven, Belgium: Department of Electrical Engineering (ESAT), KU Leuven.

Other journal publications / miscellaneous

Sorber, L., Van Barel, M., De Lathauwer, L. (2013). Guest lecture linear algebra course: tensor decompositions and applications.

Sorber, L., Van Barel, M., De Lathauwer, L. (2012). Guest lecture linear algebra course: tensor decompositions and applications.