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New Riemannian Preconditioned Algorithms for Tensor Completion via Polyadic D…
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Glineur, FrancoisYu, GuanGao, BinDong, Shuyu

We propose new Riemannian preconditioned algorithms for low-rank tensor completion via the polyadic decomposition of a tensor. These algorithms exploit a non-Euclidean metric on the product space o…

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Worst-Case Convergence Analysis of Inexact Gradient and Newton Methods Throug…
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Glineur, FrancoisTaylor, Adrien B.De Klerk, Etienne

We provide new tools for worst-case performance analysis of the gradient (or steepest descent) method of Cauchy for smooth strongly convex functions, and Newton's method for self-concordant functio…

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Low-Rank Matrix Approximation with Weights or Missing Data is NP-Hard
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Gillis, NicolasGlineur, Francois

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Exact Worst Case Performance of First Order Methods for Composite Convex Opti…
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Glineur, FrancoisHendrickx, Julien M.Taylor, Adrien B.


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