Global Periodic Monopoles of Rank Onedoi:10.1007/978-3-030-94500-8_8We shall establish an equivalence between monopoles of GCK type and good filtered bundles in the rank one case , as a preliminary for more general cases.Mochizuki, Takuro...
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For every affine variety over a global function field, we show that the set of its points with coordinates in an arbitrary rank-one multiplicative subgroup of this function field satisfies the required property of weak approximation for finite sets of places of this function field avoiding arbitrari...
The<Rank Custom Field ID>value can be identified in the error message- e.g. in the error message above, the error refers tocustomfield_10106, so the Rank Custom Field ID is 10106 Cause There are duplicate ISSUE_ID values in AO_60DB71_LEXORA...
X Mao,Y Yang,S Butenko - 《Journal of Global Optimization》 被引量: 0发表: 2022年 Identifiability in Two-Layer Sparse Matrix Factorization In particular, in the case of fixed-support sparse matrix factorization, we give a general sufficient condition for identifiability based on rank-one matrix...
Journal of Global OptimizationAzuma, GodaiDepartment of Industrial and Systems Engineering, Aoyama Gakuin University, Sagamihara-shi, JapanKim, SunyoungDepartment of Mathematics, Ewha W. University, Seoul, KoreaYamashita, MakotoDepartment of Mathematical and Computing Science, Institute of Science Tokyo, ...
STRIDE is designed for solving high-order semidefinite programming (SDP) relaxations of nonconvex polynomial optimization problems (POPs) that admit rank-one optimal solutions. STRIDE is the first algorithmic framework that blends fast local search on the nonconvex POP with global descent on the conve...
When the true rank is small, this algorithm is guaranteed to converge to the ground truth (up to global ambiguity) with near-optimal sample complexity and computational complexity. To the best of our knowledge, this is the first guarantee that achieves near-optimality in both metrics. In ...