[1] Candès E,Romberg J,Tao T.Robust uncertainty principles:exact signal reconstruction from highly incomplete frequency information[J].IEEE Transactions on Information Theory,2006,52(2):489-509.
[2] Donoho D.Compressed sensing[J].IEEE Transactions on Information Theory,2006,52(4):1289-1306.
[3] 戴琼海,付长军,季向阳.压缩感知研究[J].计算机学报,2011,34(3):425-434. Dai Qiong-hai,Fu Chang-jun,Ji Xiang-yang.Research on compressed sensing[J].Chinese Journal of Computers,2011,34(3):425-434.(in Chinese)
[4] Figueiredo M,Nowak R,Wright S.Gradient projection for sparse reconstruction:application to compressed sensing and other inverse problems[J].IEEE Journal of Selected Topics in Signal Processing,2008,1(4):586-597.
[5] Tropp J,Gilbert A.Signal recovery from random measurements via orthogonal matching pursuit[J].IEEE Transactions on Information Theory,2007,53(12):4655-4666.
[6] Elad M.A wide-angle view at iterated shrinkage algorithms[J].Proceedings of SPIE-The International Society for Optical Engineering,2007,6701(6701):26-29.
[7] He L,Chen H,Carin L.Tree-structured compressive sensing with variational Bayesian analysis[J].IEEE Signal Processing Letters,2010,17(3):233-236.
[8] Dong W,Shi G,Li X,et al.Compressive sensing via nonlocal low-rank regularization[J].IEEE Transactions on Image Processing,2014,23(8):3618.
[9] 宋云,李雪玉,沈燕飞,等.基于非局部相似块低秩的压缩感知图像重建算法[J].电子学报,2017,45(3):695-703. Song Yun,Li Xue-yu,Shen Yan-fei,et al.Compressed sensing image reconstruction based on low rank of non-local similar patches[J].Acta Electronica Sinica,2017,45(3):695-703.(in Chinese)
[10] 李然,干宗良,朱秀昌.基于最佳线性估计的快速压缩感知图像重建算法[J].电子与信息学报,2012,34(12):3006-3012. Li Ran,Gan Zong-liang,Zhu Xiu-chang.A fast compressed-sensing image reconstruction algorithm based on best linear estimate[J].Journal of Electronics and Information Technology,2012,34(12):3006-3012.(in Chinese)
[11] Chen C,Tramel E,Fowler J.Compressed-sensing recovery of images and video using multihypothesis predictions[J].Signals,Systems and Computers,2011,1193-1198.
[12] 陈江琦,马尽文.基于改进粒子群算法的压缩感知[J].信号处理,2016,33(4):488-495. Chen Jiang-qi,Ma Jin-wen.The improved particle swarm optimization algorithm based compressive sensing[J].Journal of Signal Processing,2016,33(4):488-495.(in Chinese)
[13] Aharon M,Elad M,Bruckstein A.The K-SVD:an algorithm for designing of overcomplete dictionaries for sparse representation[J].IEEE Transactions on Signal Processing,2006,54(11):4311-4322.
[14] Hawe S,Seibert M,Kleinsteuber M.Separable dictionary learning[A].IEEE Conference on Computer Vision and Pattern Recognition[C].IEEE,2013.438-445.
[15] Lu C,Chen H.Compressive image sensing for fast recovery from limited samples:A variation on compressive sensing[J].Information Sciences,2015,325:33-47.
[16] Roohi S,Zonoobi D,Kassim A,et al.Multi-dimensional low rank plus sparse decomposition for reconstruction of under-sampled dynamic MRI[J].Pattern Recognition,2016,63:667-679.
[17] Cai J,Jia X,Gao H,et al.Cine cone beam CT reconstruction using low-rank matrix factorization:algorithm and a proof-of-principle study[J].IEEE Transactions on Medical Imaging,2014,33(8):1581-1591.
[18] Chen S,Liu H,Hu Z,et al.simultaneous reconstruction and segmentation of dynamic PET via low-rank and sparse matrix decomposition[J].IEEE Transactions on Biomedical Engineering,2015,62(7):1784-1795.
[19] Wang L,Sun Y,Gao S,et al.Automatic misalignment correction of seismograms using low-rank matrix recovery[J].IEEE Geoscience and Remote Sensing Letters,2012,10(2):352-356.
[20] Candès E,Li X,Ma Y,et al.Robust principal component analysis[J].Journal of the ACM,2009,58(3):1-37.
[21] 徐森,周天,于化龙,等.一种基于矩阵低秩近似的聚类集成算法[J].电子学报,2013,41(6):1219-1224. Xu Sen,Zhou Tian,Yu Hua-long,et al.Matrix low rank approximation-based cluster ensemble algorithm[J].Acta Electronica Sinica,2013,41(6):1219-1224.(in Chinese)
[22] Ye J.Generalized low rank approximations of matrices[J].Machine Learning,2005,61(1):167-191.
[23] Candès E,Emmanuel J.The restricted isometry property and its implications for compressed sensing[J].Comptes Rendus-Mathématique,2008,346(9):589-592.
[24] 贾正华.广义逆矩阵及其性质[J].巢湖学院学报,2005,7(3):38-39. Jia Zheng-hua.Generalized inverse matrix and its some properties[J].Journal of Chaohu College,2005,7(3):38-39.(in Chinese)
[25] 王秀清,陈北英,于朝霞.关于矩阵的Kronecker积的一些性质[J].山东师范大学学报(自然科学版),2010,25(4):147-149. Wang Xiu-qing,Chen Bei-ying,Yu Zhao-xia.Some properties of Kronecker product of matrices[J].Journal of Shandong Normal University(Natural Science),2010,25(4):147-149.(in Chinese)
[26] 邵逸民.行(列)满秩矩阵的一些性质及应用[J].长春师范学院学报(自然科学版),2008,27(6):22-25. Shao Yi-min.Some properties of row(column)full rank matrices and their applications[J].Journal of Changchun Normal University (Natural Science),2008,27(6):22-25.(in Chinese)
[27] 陈永林,李志林.用Kronecker积与广义逆矩阵求解矩阵方程[J].南京师大学报自然科学版,1991,14(1):9-15. Chen Yong-lin,Li Zhi-lin.Solving matrix equation by using kronecker product and generalized inverse of a matrix[J].Journal of Nanjing Normal University(Natural Science),1991,14(1):9-15.(in Chinese)
[28] 王建宏,谢燕,周星月.矩阵内积的性质[J].高师理科学刊,2010,30(2):12-16. Wang Jian-hong,Xie Yan,Zhou Xing-yue.The properties of inner product properties of matrices[J].Journal of Science of Teachers' College and University,2010,30(2):12-16.(in Chinese)
[29] Chen M,Lin Z,Ma Y,et al.The augmented Lagrange multiplier method for exact recovery of corrupted low-rank matrices[J].Eprint Arxiv,2010,9.
[30] Yuan X,Yang J.Sparse and low-rank matrix decomposition via alternating direction methods[J].Pacific Journal of Optimization,2013,9(1):167-180.
[31] Gower J,Dijksterhuis G.Procrustes Problems[M].Oxford University Press,2004,168(2):xiv,233.
[32] Yuan X,Rao V,Han S,et al.Hierarchical infinite divisibility for multiscale shrinkage[J].IEEE Transactions on Signal Processing,2014,62(17):4363-4374.
[33] Li C,Yin W,Zhang Y.TVAL3:TV Minimization by Augmented Lagrangian and Alternating Direction Algorithm[EB/OL].http://www.caam.rice.edu/~optimization/L1/TVAL3/,2009.
[34] Wang H,Cen Y,He Z,et al.Robust generalized low-rank decomposition of multi-matrices for image recovery[J].IEEE Transactions on Multimedia,2017,19(5),969-983. |