000 01436nam a2200169 a 4500
005 20260901030409.0
008 250101s2020 xx o 000 0 eng d
100 1 _aPeng Li
245 1 0 _aInertial Proximal ADMM for Separable Multi-Block Convex Optimizations and Compressive Affine Phase Retrieval
264 1 _barXiv
_c2020
336 _atext
338 _aonline resource
520 _aSeparable multi-block convex optimization problem appears in many mathematical and engineering fields. In the first part of this paper, we propose an inertial proximal ADMM to solve a linearly constrained separable multi-block convex optimization problem, and we show that the proposed inertial proximal ADMM has global convergence under mild assumptions on the regularization matrices. Affine phase retrieval arises in holography, data separation and phaseless sampling, and it is also considered as a nonhomogeneous version of phase retrieval that has received considerable attention in recent years. Inspired by convex relaxation of vector sparsity and matrix rank in compressive sensing and by phase lifting in phase retrieval, in the second part of this paper, we introduce a compressive affine phase retrieval via lifting approach to connect affine phase retrieval with multi-block convex optim
506 0 _aOpen access — freely available to read.
856 4 0 _uhttps://arxiv.org/pdf/2012.13771v1
_yRead the full paper (PDF)
942 _cERES
999 _c705
_d705