منابع مشابه
Riemannian preconditioning for tensor completion
We propose a novel Riemannian preconditioning approach for the tensor completion problem with rank constraint. A Riemannian metric or inner product is proposed that exploits the least-squares structure of the cost function and takes into account the structured symmetry in Tucker decomposition. The specific metric allows to use the versatile framework of Riemannian optimization on quotient manif...
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A Proof and derivation of manifold-related ingredients The concrete computations of the optimization-related ingredients presented in the paper are discussed below. The total space is M := St(r1, n1) × St(r2, n2) × St(r3, n3) × Rr1×r2×r3 . Each element x ∈ M has the matrix representation (U1,U2,U3,G). Invariance of Tucker decomposition under the transformation (U1,U2,U3,G) 7→ (U1O1,U2O2,U3O3,G×...
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ژورنال
عنوان ژورنال: SIAM Journal on Optimization
سال: 2016
ISSN: 1052-6234,1095-7189
DOI: 10.1137/140970860