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1. Full Text Canonical polyadic decomposition of third-order tensors: Reduction to generalized eigenvalue decomposition
by Domanov, Ignat and De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2014, Volume 35, Issue 2, pp. 636 - 660
Canonical polyadic decomposition | Mixed discriminant | Compound matrix | Tensor | Candecomp/Parafac decomposition | Permanent | Khatri-Rao product | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Tensors | Algebra | Algorithms | Computation | Mathematical analysis | Compounding | Decomposition | Compounds | Mathematics - Spectral Theory
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2. Full Text Optimization-based algorithms for tensor decompositions: Canonical polyadic decomposition, decomposition in rank-(Lr, Lr, 1) terms, and a new generalization
by Sorber, Laurent and Van Barel, Marc and De Lathauwer, Lieven
SIAM journal on optimization, ISSN 1052-6234, 2013, Volume 23, Issue 2, pp. 695 - 720
Canonical polyadic decomposition | Tensor decompositions | Algorithms | Block term decomposition | Multilinear algebra | Optimization | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Computation | Least squares method | Mathematical analysis | Compounding | Decomposition | Compounds
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3. Full Text A Tensor-Based Method for Large-Scale Blind Source Separation Using Segmentation
by Bousse, Martijn and Debals, Otto and De Lathauwer, Lieven
IEEE transactions on signal processing, ISSN 1053-587X, 01/2017, Volume 65, Issue 2, pp. 346 - 358
Tensile stress | Direction-of-arrival estimation | Blind source separation | Matrix decomposition | Indexes | higher-order tensor | low-rank approximation | big data | Sensor arrays | tensor decomposition | Engineering, Electrical & Electronic | Engineering | Technology | Science & Technology | Arrays (Data structures) | Research | Segmentation
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4. Full Text Multidimensional Harmonic Retrieval via Coupled Canonical Polyadic Decomposition—Part I: Model and Identifiability
by Sorensen, Mikael and De Lathauwer, Lieven
IEEE transactions on signal processing, ISSN 1053-587X, 01/2017, Volume 65, Issue 2, pp. 517 - 527
Tensile stress | multidimensional harmonic retrieval | Writing | Harmonic analysis | Matrix decomposition | Indexes | tensor | Antenna arrays | Coupled canonical polyadic decomposition | Vandermonde matrix | Engineering, Electrical & Electronic | Engineering | Technology | Science & Technology | Signal processing | Research | Reorganization and restructuring
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5. Full Text Multidimensional Harmonic Retrieval via Coupled Canonical Polyadic Decomposition—Part II: Algorithm and Multirate Sampling
by Sorensen, Mikael and De Lathauwer, Lieven
IEEE transactions on signal processing, ISSN 1053-587X, 01/2017, Volume 65, Issue 2, pp. 528 - 539
multirate sampling | Tensile stress | multidimensional harmonic retrieval | Signal processing algorithms | Harmonic analysis | Eigenvalues and eigenfunctions | Generators | direction of arrival estimation | simultaneous matrix diagonalization | Matrix decomposition | Indexes | Coupled canonical polyadic decomposition | Engineering, Electrical & Electronic | Engineering | Technology | Science & Technology | Algorithms | Research
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6. Full Text Generic uniqueness conditions for the canonical polyadic decomposition and indscal
by Domanov, Ignat and De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2015, Volume 36, Issue 4, pp. 1567 - 1589
Canonical polyadic decomposition | CANDECOMP/PARAFAC decomposition | Third-order tensor | Algebraic geometry | Uniqueness | INDSCAL | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Mathematics - Algebraic Geometry
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7. Full Text Coupled canonical polyadic decompositions and (Coupled) decompositions in multilinear rank-(L r,n ,L r,n, 1) terms - Part I: Uniqueness
by Sørensen, Mikael and De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2015, Volume 36, Issue 2, pp. 496 - 522
Canonical polyadic decomposition | Higher-order tensor | Coupled matrix-tensor factorization | Coupled decompositions | Canonical decomposition (CANDECOMP) | Parallel factor (PARAFAC) | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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8. Full Text Unconstrained optimization of real functions in complex variables
by Sorber, Laurent and Van Barel, Marc and De Lathauwer, Lieven
SIAM journal on optimization, ISSN 1052-6234, 2012, Volume 22, Issue 3, pp. 879 - 898
Levenberg-Marquardt | Functions of complex variables | Unconstrained optimization | L-BFGS | Nonlinear conjugate gradient | Nonlinear least squares | Quasi-Newton | Gauss-Newton | Wirtinger calculus | BFGS | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Algorithms | Mathematical analysis | Nonlinearity | Taylor series | Complex variables | Mathematical models | Derivatives | Optimization
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9. Full Text Tensor Decomposition for Signal Processing and Machine Learning
by Sidiropoulos, Nicholas D and De Lathauwer, Lieven and Xiao Fu and Kejun Huang and Papalexakis, Evangelos E and Faloutsos, Christos
IEEE transactions on signal processing, ISSN 1053-587X, 07/2017, Volume 65, Issue 13, pp. 3551 - 3582
collaborative filtering | Tucker model | topic modeling | Optimization | stochastic gradient | communications | NP-hard problems | Cramér–Rao bound | rank | higher-order singular value decomposition (HOSVD) | harmonic retrieval | alternating optimization | Tensor decomposition | parallel factor analysis (PARAFAC) | Tutorials | Gauss–Newton | Matrix decomposition | canonical polyadic decomposition (CPD) | classification | source separation | mixture modeling | subspace learning | Tensile stress | alternating direction method of multipliers | uniqueness | speech separation | Signal processing algorithms | Signal processing | tensor factorization | multilinear singular value decomposition (MLSVD) | gradient descent | Cramér-Rao bound | Gauss-Newton | Engineering, Electrical & Electronic | Engineering | Technology | Science & Technology | Machine learning
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10. Full Text ON THE UNIQUENESS OF THE CANONICAL POLYADIC DECOMPOSITION OF THIRD-ORDER TENSORS-PART II: UNIQUENESS OF THE OVERALL DECOMPOSITION
by Domanov, Ignat and De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 01/2013, Volume 34, Issue 3, pp. 876 - 903
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Tensors | Constraints | Mathematical analysis | Compounding | Uniqueness | Decomposition | Compounds | Mathematics - Spectral Theory
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11. Full Text Multiple Invariance ESPRIT for Nonuniform Linear Arrays: A Coupled Canonical Polyadic Decomposition Approach
by Sorensen, Mikael and De Lathauwer, Lieven
IEEE transactions on signal processing, ISSN 1053-587X, 07/2016, Volume 64, Issue 14, pp. 3693 - 3704
coupled decomposition | multiple baseline | array processing | Direction-of-arrival estimation | Array signal processing | nonuniform sampling | Estimation | tensor | Tensile stress | sparse array | Signal processing algorithms | Writing | multiresolution | Arrays | Array processing | direction-of-arrival estimation | Engineering, Electrical & Electronic | Engineering | Technology | Science & Technology | Usage | Canonical correlation (Statistics) | Algorithms | Nonuniform | Compounding | Joining | Decomposition | Linear arrays | Compounds
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12. Full Text Löwner-Based Blind Signal Separation of Rational Functions With Applications
by Debals, Otto and Van Barel, Marc and De Lathauwer, Lieven
IEEE transactions on signal processing, ISSN 1053-587X, 04/2016, Volume 64, Issue 8, pp. 1909 - 1918
Löwner matrix | Tensile stress | independent component analysis | rational functions | Blind signal separation (BSS) | Blind source separation | Polynomials | Data models | tensors | Matrix decomposition | Yttrium | block term decomposition | Engineering, Electrical & Electronic | Engineering | Technology | Science & Technology | Signal processing | Chemical properties | Research
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13. Full Text On the uniqueness of the canonical polyadic decomposition of third-order tensors-part I: Basic results and uniqueness of one factor matrix
by Domanov, Ignat and De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2013, Volume 34, Issue 3, pp. 855 - 875
Canonical polyadic decomposition | Compound matrix | Tensor | Parafac | Multilinear algebra | Khatri-Rao product | Candecomp | Three-way array | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Tensors | Mathematical analysis | Compounding | Uniqueness | Proving | Links | Decomposition | Compounds | Mathematics - Spectral Theory
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14. Full Text A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalization
by De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2006, Volume 28, Issue 3, pp. 642 - 666
Higher-order tensor | Parallel factors model | Simultaneous matrix diagonalization | Canonical decomposition | Multilinear algebra | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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