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In this paper, we provide local and global convergence guarantees for recovering CP (Candecomp/Parafac) tensor decomposition.
Characteristic vectors of bordered matrices with infinite dimensions
Eugene P Wigner · 1955
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Analysis of individual differences in multidimensional scaling via an n-way generalization of “eckart-young” decomposition
J Douglas Carroll and Jih-Jie Chang · 1970
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Foundations of the parafac procedure: models and conditions for an” explanatory” multimodal factor analysis
Richard A Harshman · 1970
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More factors than subjects, tests and treatments: an indeterminacy theorem for canonical decomposition and individual differences scaling
J.B. Kruskal · 1976
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Three-way arrays: Rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
J.B. Kruskal · 1977
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Independent component analysis, a new concept?
P. Comon · 1994
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Parafac: Parallel factor analysis
Richard A Harshman and Margaret E Lundy · 1994
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Learning overcomplete representations
M. S. Lewicki and T. J. Sejnowski · 2000
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Orthogonal tensor decompositions
T. Kolda · 2001
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Rank-one approximation to high order tensors
T. Zhang and G. Golub · 2001
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Tensor decompositions
P. Comon · 2002
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Multilinear subspace analysis of image ensembles
M. A. O. Vasilescu and D. Terzopoulos · 2003
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A concentration theorem for projections
Sanjoy Dasgupta, Daniel Hsu, and Nakul Verma · 2006
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D. Donoho · 2006
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Fourth-order cumulant-based blind identification of underdetermined mixtures
L. De Lathauwer, J. Castaing, and J.-F. Cardoso · 2007
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Olivier Guédon and Mark Rudelson · 2007
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P. Comon, X. Luciani, and A. De Almeida · 2009
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Most tensor problems are NP hard
Christopher J. Hillar and Lek-Heng Lim · 2009
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Learning Sparsely Used Overcomplete Dictionaries via Alternating Minimization
A. Agarwal, A. Anandkumar, P. Jain, P. Netrapalli, and R. Tandon · 2013
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New Algorithms for Learning Incoherent and Overcomplete Dictionaries
S. Arora, R. Ge, and A. Moitra · 2013
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Smoothed analysis of tensor decompositions
A. Bhaskara, M. Charikar, A. Moitra, and A. Vijayaraghavan · 2013
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N. Goyal, S. Vempala, and Y. Xiao · 2013
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On the provable convergence of alternating minimization for matrix completion
Moritz Hardt · 2013
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