Best multilinear rank approximation of tensors with quasi-Newton methods on Grassmannians

Keywords

Multilinear map, Rank (graph theory), Mathematics, Low-rank approximation, Singular value

References

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• A Newton-Grassmann Method for Computing the Best Multilinear Rank-(r1, r2, r3) Approximation of a TensorLars Eldén, Berkant Savas — 2009
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• Numerical Optimization Methods on Riemannian ManifoldsChunhong Qi — 2011
• An Efficient BFGS Algorithm for Riemannian OptimizationChunhong Qi, Kyle A. Gallivan, Pierre-Antoine Absil — 2010
• Optimization on manifolds: methods and applications (abstract)P. Absil — 2009
• Exponential data fitting using multilinear algebra: the decimative caseJean‐Michel Papy, Lieven De Lathauwer, Sabine Van Huffel — 2009
• A Newton-Grassmann Method for Computing the Best Multilinear Rank-(r1, r2, r3) Approximation of a TensorLars Eldén, Berkant Savas — 2009
• Differential-geometric Newton method for the best rank-(R1, R2, R3) approximation of tensorsMariya Ishteva, Lieven De Lathauwer, P.-A. Absil — 2008
• Tucker compression and local optimaMariya Ishteva, P.-A. Absil, Sabine Van Huffel — 2011
• HRTF customization using multiway array analysisMartin Rothbucher, Marko Đurković, Hao Shen — 2010
• A survey of tensor methodsLieven De Lathauwer — 2009
• Low multilinear rank tensor approximation via semidefinite programmingDe Lathauwer, L., Carmeliza Navasca — 2009
• Fast Evaluation of Near-Field Boundary Integralsusing Tensor ApproximationsJonas Ballani — 2012
• The best low multilinear rank approximation of tensors : some practical aspectsMariya Ishteva, Lieven De Lathauwer, Pierre-Antoine Absil — 2010
• Numerical Methods for the Best Low Multilinear Rank Approximation of Higher-Order Tensors (Numerieke methoden voor de beste lage multilineaire rang benadering van hogere-orde tensoren)Mariya Ishteva — 2009
• Overview of recent advances in numerical tensor algebraGöran Bergqvist, Erik G. Larsson — 2010
• Development and Evaluation of an Immersive Audio Conferencing SystemMartin Rothbucher — 2014
• The properties of partial trace and block trace operators of partitioned matricesKatarzyna Filipiak, Daniel Klein, Erika Vojtková — 2018
• TECHNIQUES FOR THE DECOMPOSITION OF CARTAN’S CURVATURE TENSOR IN COMPLEX FINSLER MANIFOLDSSriram Kumar, K. C. Petwal — 2011
• Toolbox for Grassmann Manifold ComputationsBerkant Savas — 2008

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