Solving Random Systems of Quadratic Equations via Truncated Generalized Gradient Flow
暂无分享,去创建一个
[1] Yonina C. Eldar,et al. SIGIBE: Solving random bilinear equations via gradient descent with spectral initialization , 2016, 2016 24th European Signal Processing Conference (EUSIPCO).
[2] J. Miao,et al. Extending X-ray crystallography to allow the imaging of noncrystalline materials, cells, and single protein complexes. , 2008, Annual review of physical chemistry.
[3] J. Miao,et al. Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens , 1999, Nature.
[4] Thomas S. Ferguson,et al. A Representation of the Symmetric Bivariate Cauchy Distribution , 1962 .
[5] A. Walther. The Question of Phase Retrieval in Optics , 1963 .
[6] G. Simons,et al. On the theory of elliptically contoured distributions , 1981 .
[7] Qionghai Dai,et al. Fourier ptychographic reconstruction using Wirtinger flow optimization. , 2014, Optics express.
[8] P. Massart,et al. Adaptive estimation of a quadratic functional by model selection , 2000 .
[9] Laura Waller,et al. Experimental robustness of Fourier Ptychography phase retrieval algorithms , 2015, Optics express.
[10] F. Clarke. Optimization And Nonsmooth Analysis , 1983 .
[11] Yonina C. Eldar,et al. Phase Retrieval via Matrix Completion , 2011, SIAM Rev..
[12] R. Balan,et al. On signal reconstruction without phase , 2006 .
[13] Yonina C. Eldar,et al. Phase Retrieval from 1D Fourier Measurements: Convexity, Uniqueness, and Algorithms , 2016, IEEE Transactions on Signal Processing.
[14] Katta G. Murty,et al. Some NP-complete problems in quadratic and nonlinear programming , 1987, Math. Program..
[15] Panos M. Pardalos,et al. Quadratic programming with one negative eigenvalue is NP-hard , 1991, J. Glob. Optim..
[16] N. Z. Shor. A class of almost-differentiable functions and a minimization method for functions of this class , 1972 .
[17] Emmanuel J. Candès,et al. PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming , 2011, ArXiv.
[18] G. Papanicolaou,et al. Array imaging using intensity-only measurements , 2010 .
[19] Dan Edidin,et al. An algebraic characterization of injectivity in phase retrieval , 2013, ArXiv.
[20] Xiaodong Li,et al. Phase Retrieval via Wirtinger Flow: Theory and Algorithms , 2014, IEEE Transactions on Information Theory.
[21] Anastasios Kyrillidis,et al. Dropping Convexity for Faster Semi-definite Optimization , 2015, COLT.
[22] S. Marchesini,et al. Alternating projection, ptychographic imaging and phase synchronization , 2014, 1402.0550.
[23] J R Fienup,et al. Phase retrieval algorithms: a comparison. , 1982, Applied optics.
[24] J. Gallier. Quadratic Optimization Problems , 2020, Linear Algebra and Optimization with Applications to Machine Learning.
[25] Christopher J. Hillar,et al. Most Tensor Problems Are NP-Hard , 2009, JACM.
[26] Franziska Wulf,et al. Minimization Methods For Non Differentiable Functions , 2016 .
[27] Zhi-Quan Luo,et al. Guaranteed Matrix Completion via Non-Convex Factorization , 2014, IEEE Transactions on Information Theory.
[28] Arkadi Nemirovski,et al. Lectures on modern convex optimization - analysis, algorithms, and engineering applications , 2001, MPS-SIAM series on optimization.
[29] John Wright,et al. A Geometric Analysis of Phase Retrieval , 2016, 2016 IEEE International Symposium on Information Theory (ISIT).
[30] Dustin G. Mixon,et al. Saving phase: Injectivity and stability for phase retrieval , 2013, 1302.4618.
[31] Zhi-Quan Luo,et al. Semidefinite Relaxation of Quadratic Optimization Problems , 2010, IEEE Signal Processing Magazine.
[32] H. Sahinoglou,et al. On phase retrieval of finite-length sequences using the initial time sample , 1991 .
[33] Yuxin Chen,et al. Solving Random Quadratic Systems of Equations Is Nearly as Easy as Solving Linear Systems , 2015, NIPS.
[34] Yonina C. Eldar,et al. Phase Retrieval with Application to Optical Imaging: A contemporary overview , 2015, IEEE Signal Processing Magazine.
[35] Nikos D. Sidiropoulos,et al. Phase Retrieval Using Feasible Point Pursuit: Algorithms and Cramér–Rao Bound , 2015, IEEE Transactions on Signal Processing.
[36] Herbert A. Hauptman,et al. The phase problem of x-ray crystallography , 1983, Proceedings / Indian Academy of Sciences.
[37] Prateek Jain,et al. Phase Retrieval Using Alternating Minimization , 2013, IEEE Transactions on Signal Processing.
[38] Laurence B. Milstein,et al. Chernoff-Type Bounds for the Gaussian Error Function , 2011, IEEE Transactions on Communications.
[39] Rick P. Millane,et al. Phase retrieval in crystallography and optics , 1990 .
[40] Gang Wang,et al. Online reconstruction from big data via compressive censoring , 2014, 2014 IEEE Global Conference on Signal and Information Processing (GlobalSIP).
[41] Hyoung-Moon Kim,et al. A Clarification of the Cauchy Distribution , 2014 .
[42] Roman Vershynin,et al. Introduction to the non-asymptotic analysis of random matrices , 2010, Compressed Sensing.
[43] Gang Wang,et al. Adaptive censoring for large-scale regressions , 2015, 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).
[44] Jianqing Fan,et al. Distributions of angles in random packing on spheres , 2013, J. Mach. Learn. Res..
[45] Alexandre d'Aspremont,et al. Phase recovery, MaxCut and complex semidefinite programming , 2012, Math. Program..
[46] F. Clarke. Generalized gradients and applications , 1975 .
[47] Xiaodong Li,et al. Solving Quadratic Equations via PhaseLift When There Are About as Many Equations as Unknowns , 2012, Found. Comput. Math..
[48] Bastian Goldlücke,et al. Variational Analysis , 2014, Computer Vision, A Reference Guide.
[49] O. Bunk,et al. Diffractive imaging for periodic samples: retrieving one-dimensional concentration profiles across microfluidic channels. , 2007, Acta crystallographica. Section A, Foundations of crystallography.
[50] A. Fannjiang,et al. Phase Retrieval With One or Two Diffraction Patterns by Alternating Projections of the Null Vector , 2015 .
[51] R. Gerchberg. A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .
[52] Ke Wei. Solving systems of phaseless equations via Kaczmarz methods: a proof of concept study , 2015 .