Further reading (RSVD, TT/TT-SVD, and MPS/DMRG)
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Randomized SVD (RSVD) — Halko, Martinsson, Tropp (2011), SIAM Review.
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Monograph on randomized matrix algorithms — Mahoney (2011), Foundations & Trends in ML.
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Survey: Randomized Numerical Linear Algebra — Martinsson, Tropp (2020).
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Tensor-Train (TT) Decomposition / TT-SVD — Oseledets (2011), SIAM J. Sci. Comput.
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TT-Cross (interpolatory) algorithm — Oseledets & Tyrtyshnikov (2010), Linear Algebra Appl.
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Block-TT eigenvalue methods — Dolgov, Khoromskij, Oseledets, Savostyanov (2013).
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MPS/DMRG review (quantum-inspired algorithms) — Schollwöck (2011), Annals of Physics.
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Origins of MPS (finitely-correlated states) — Fannes, Nachtergaele, Werner (1992), Comm. Math. Phys.
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General tensor decompositions survey (CP/Tucker/TT context) — Kolda & Bader (2009), SIAM Review.
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Best rank-k approximation (Eckart–Young) — Eckart & Young (1936).
Springer page