2.845

2023影响因子

(CJCR)

  • 中文核心
  • EI
  • 中国科技核心
  • Scopus
  • CSCD
  • 英国科学文摘

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

字典学习模型、算法及其应用研究进展

练秋生 石保顺 陈书贞

练秋生, 石保顺, 陈书贞. 字典学习模型、算法及其应用研究进展. 自动化学报, 2015, 41(2): 240-260. doi: 10.16383/j.aas.2015.c140252
引用本文: 练秋生, 石保顺, 陈书贞. 字典学习模型、算法及其应用研究进展. 自动化学报, 2015, 41(2): 240-260. doi: 10.16383/j.aas.2015.c140252
LIAN Qiu-Sheng, SHI Bao-Shun, CHEN Shu-Zhen. Research Advances on Dictionary Learning Models, Algorithms and Applications. ACTA AUTOMATICA SINICA, 2015, 41(2): 240-260. doi: 10.16383/j.aas.2015.c140252
Citation: LIAN Qiu-Sheng, SHI Bao-Shun, CHEN Shu-Zhen. Research Advances on Dictionary Learning Models, Algorithms and Applications. ACTA AUTOMATICA SINICA, 2015, 41(2): 240-260. doi: 10.16383/j.aas.2015.c140252

字典学习模型、算法及其应用研究进展

doi: 10.16383/j.aas.2015.c140252
基金项目: 

国家自然科学基金(61471313),河北省自然科学基金(F2014203076)资助

详细信息
    作者简介:

    石保顺 燕山大学信息科学与工程学院博士研究生. 主要研究方向为图像处理,盲压缩感知, 字典学习.E-mail: shibaoshun1989@163.com

    陈书贞 燕山大学信息科学与工程学院副教授. 主要研究方向为图像处理, 压缩感知及生物识别.E-mail: chen sz818@163.com

    通讯作者:

    练秋生 燕山大学信息科学与工程学院教授. 主要研究方向为图像处理, 稀疏表示, 压缩感知及多尺度几何分析. 本文通信作者. E-mail: lianqs@ysu.edu.cn

Research Advances on Dictionary Learning Models, Algorithms and Applications

Funds: 

Supported by National Natural Science Foundation of China (61471313), and Natural Science Foundation of Hebei Province (F2014203076)

  • 摘要: 稀疏表示模型常利用训练样本学习过完备字典, 旨在获得信号的冗余稀疏表示. 设计简单、高效、通用性强的字典学习算法是目前的主要研究方向之一, 也是信息领域的研究热点. 基于综合稀疏模型的字典学习方法已经广泛应用于图像分类、图像去噪、图像超分辨率和压缩成像等领域. 近些年来, 解析稀疏模型、盲字典模型和信息复杂度模型等新模型的出现丰富了字典学习理论, 使得更广泛类型的信号能够被简单性描述. 本文详细介绍了综合字典、解析字典、盲字典和基于信息复杂度字典学习的基本模型及其算法, 阐述了字典学习的典型应用, 指出了字典学习的进一步研究方向.
  • [1] Hubel D H, Wiesel T N. Receptive fields of single neurons in the cat's striate cortex. Journal of Physiology, 1959, 148(3): 574-591
    [2] [2] Willshaw D J, Buneman O P, Longuet-Higgins H C. Non-holographic associative memory. Nature, 1969, 222(5197): 960-962
    [3] [3] Barlow H B. Single units and sensation: A neuron doctrine for perceptual psychology? Perception, 1972, 1(4): 371-394
    [4] [4] Oja E. Simplified neuron model as a principal component analyzer. Journal of Mathematical Biology, 1982, 15(3): 267-273
    [5] [5] Pham T T, Defigueiredo R J P. Maximum likelihood estimation of a class of non-Gaussian densities with application to L_p deconvolution. IEEE Transaction on Acoustics, Speech, and Signal Process, 1989, 37(1): 73-82
    [6] [6] Jutten C, Herault J. Blind separation of sources, Part I: an adaptive algorithm based on neuromimetic architecture. Signal Processing, 1991, 24(1): 1-10
    [7] [7] Mallat S, Zhang Z. Matching pursuits with time-frequency dictionaries. IEEE Transactions on Signal Processing, 1993, 41(12): 3397-3415
    [8] [8] Chen S S, Donoho D L. Saunders M A. Atomic Decomposition by Basis Pursuit. Technical Report, Stanford University, Britain, 1995.
    [9] [9] Olshausen B A, Field D J. Emergency of simple-cell receptive field properties by learning a sparse code for natural images. Nature, 1996, 381(6583): 607-609
    [10] Olshausen B A, Field D J. Natural image statistics and efficient coding. Network Computation in Neural Systems, 1996, 7(2): 333-339
    [11] Olshausen B A, Field D J. Sparse coding with an overcomplete basis set: a strategy employed by V1? Vision Research, 1997, 37(23): 3311-3325
    [12] Donoho D L. Compressed sensing. IEEE Transactions on Information Theory, 2006, 52(4): 1289-1306
    [13] Candes E J, Tao T. Near optimal signal recovery from random projections: universal encoding strategies? IEEE Transactions on Information Theory, 2006, 52(12): 5406-5425
    [14] Liu Fang, Wu Jiao, Yang Shu-Yuan, Jiao Li-Cheng. Research advances on structured compressive sensing. Acta Automatica Sinica, 2013, 39(12): 1980-1995 (刘芳, 吴娇, 杨淑媛, 焦李成. 结构化压缩感知进展. 自动化学报, 2013, 39(12): 1980-1995)
    [15] Mallat S. Geometrical grouplets. Applied and Computational Harmonic Analysis, 2009, 26(2): 161-180
    [16] Yaghoobi M, Daudet L, Davies M E. Parametric dictionary design for sparse coding. IEEE Transactions on Signal Processing, 2009, 57(12): 4800-4810
    [17] Elad M, Aharon M. Image denoising via sparse and redundant representations over learned dictionaries. IEEE Transactions on Signal Processing, 2006, 15(12): 3736-3745
    [18] Liu J J, Ma X H. An improved image inpainting algorithm based on multi-scale dictionary learning in wavelet domain. In: Proceedings of the 2013 International Conference on Signal Processing, Communication and Computing. Kunming, China: IEEE, 2013. 1-5
    [19] Liu X M, Zhai D M, Zhao D B, Gao W. Image super-resolution via hierarchical and collaborative sparse representation. In: Proceedings of the 2013 Data Compression Conference. Snowbird, USA: IEEE, 2013. 93-102
    [20] Aharon M, Elad M, Bruckstein A M. The K-SVD: an algorithm for designing of overcomplete dictionaries for sparse representation. IEEE Transactions on Signal Processing, 2006, 54(11): 4311-4322
    [21] Yaghoobi M, Blumensath T, Davies M E. Dictionary learning for sparse approximations with the majorization method. IEEE Transactions on Signal Processing, 2009, 57(6): 2178-2191
    [22] Mairal J, Bach F, Ponce J, Sapiro G. Online learning for matrix factorization and sparse coding. Journal of Machine Learning Research, 2010, 11(1): 19-60
    [23] Zelnik-Manor L, Rosenblum K, Eldar Y C. Dictionary optimization for block-sparse representations. IEEE Transactions on Signal Processing, 2012, 60(5): 2386-2395
    [24] Elad M, Milanfar P, Rubinstein R. Analysis versus synthesis in signal priors. Inverse Problems, 2007, 23(3): 947-968
    [25] Rubinstein R, Bruckstein A M, Elad M. Dictionaries for sparse representation modeling. Proceedings of the IEEE, 2010, 98(6): 1045-1057
    [26] Nam S, Davies M E, Elad M, Gribonval R. The cosparse analysis model and algorithms. Applied and Computational Harmonic Analysis, 2013, 34(1): 30-56
    [27] Gleichman S, Eldar Y C. Blind compressed sensing. IEEE Transactions on Information Theory, 2011, 57(10): 6958-6975
    [28] Jalali S, Maleki A. Minimum complexity pursuit. In: Proceedings of the 49th Annual Allerton Conference on Communication, Control, and Computing. Monticello, IL: IEEE, 2011. 1764-1770
    [29] Ramirez I, Sapiro G. An MDL framework for sparse coding and dictionary learning. IEEE Transactions on Signal Processing, 2012, 60(6): 2913-2927
    [30] Donoho D L, Tsaig Y, Drori I, Starck J L. Sparse solution of underdetermined systems of linear equations by stagewise orthogonal matching pursuit. IEEE Transactions on Information Theory, 2012, 58(2): 1094-1121
    [31] Shi Guang-Ming, Liu Dan-Hua, Gao Da-Hua, Liu Zhe, Lin Jie, Wang Liang-Jun. Advances in theory and application of compressed sensing. Acta Electronica Sinica, 2009, 37(5): 1070-1081 (石光明, 刘丹华, 高大化, 刘哲, 林杰, 王良君. 压缩感知理论及其研究进展. 电子学报, 2009, 37(5): 1070-1081)
    [32] Tropp J A, Gilbert A C. Signal recovery from random measurements via orthogonal matching pursuit. IEEE Transactions on Information Theory, 2007, 53(12): 4655-4666
    [33] Dai W, Milenkovic O. Subspace pursuit for compressive sensing signal. IEEE Transaction on Information Theory, 2009, 55(5): 2230-2249
    [34] Ambat S K, Chatterjee S, Hari K V S. Fusion of algorithms for compressed sensing. IEEE Transactions on Signal Processing, 2013, 61(14): 3699-3704
    [35] Chen S S, Donoho D L, Saunders M A. Atomic decomposition by basis pursuit. SIAM Journal on Scientific Computing, 1998, 20(1): 33-61
    [36] Tibshirani R. Regression shrinkage and selection via the Lasso. Journal of the Royal Statistical Society Series B, 1996, 58(1): 267-288
    [37] Lewicki M S, Olshausen B A. Probabilistic framework for the adaptation and comparison of image codes. Journal of the Optical Society of America a Optics Image Science and Vision, 1999, 16(7): 1587-1601
    [38] Kreutz-Delgado K, Murray J F, Rao B D, Engan K, Lee T W, Sejnowski T J. Dictionary learning algorithms for sparse representation. Neural Computation, 2003, 15(2): 349-396
    [39] Mailh B, Plumbley M D. Dictionary learning with large step gradient descent for sparse representations. In: Proceedings of the 10th International Conference on Latent Variable Analysis and Signal Separation. Berlin, Heidelberg: Springer, 2012. 231-238
    [40] Lee H, Battle A, Raina R, Ng A Y. Efficient sparse coding algorithms. In: Proceedings of the 20th Annual Conference on Neural Information Processing Systems. Columbia, Canada: IEEE, 2006. 801-808
    [41] Engan K, Aase S O, Husoy J H. Method of optimal directions for frame design. In: Proceedings of the 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Phoenix AZ: IEEE, 1999. 2443-2446
    [42] Smith L N, Elad M. Improving dictionary learning: multiple dictionary updates and coefficient reuse. IEEE Signal Processing Letters, 2013, 20(1): 79-82
    [43] Rubinstein R, Zibulevsky M, Elad M. Efficient Implementation of the K-SVD Algorithm Using Batch Orthogonal Matching Pursuit, Technical Report, Technion University, Israel, 2008.
    [44] Sadeghi M, Babaie-Zadeh M, Jutten C. Learning overcomplete dictionaries based on parallel atom-updating. In: Proceedings of the 2013 IEEE International Workshop on Machine Learning for Signal Processing (MLSP). Southampton, UK: IEEE, 2013. 1-5
    [45] Dai W, Xu T, Wang W. Simultaneous codeword optimization (SimCO) for dictionary update and learning. IEEE Transactions on Signal Processing, 2012, 60(12): 6340-6353
    [46] Rusu C, Dumitrescu B. Stagewise K-SVD to design efficient dictionaries for sparse representations. IEEE Signal Processing Letters, 2012, 19(10): 631-634
    [47] Lu C W, Shi J P, Jia J Y. Scale adaptive dictionary learning. IEEE Transactions on Image Processing, 2014, 23(2): 837-847
    [48] Sahoo S K, Makur A. Dictionary training for sparse representation as generalization of K-means clustering. IEEE Signal Processing Letters, 2013, 20(6): 587-590
    [49] Sadeghi M, Babaie-Zadeh M, Jutten C. Dictionary learning for sparse representation: a novel approach. IEEE Signal Processing Letters, 2013, 20(12): 1195-1198
    [50] Rakotomamonjy A. Applying alternating direction method of multipliers for constrained dictionary learning. Neurocomputing, 2013, 106: 126-136
    [51] Rakotomamonjy A. Direct optimization of the dictionary learning problem. IEEE Transactions on Signal Processing, 2013, 61(22): 5495-5506
    [52] Sigg C D, Dikk T, Buhmann J M. Learning dictionaries with bounded self-coherence. IEEE Signal Processing Letters, 2012, 19(12): 861-864
    [53] Mailhe B, Barchiesi D, Plumbley M D. INK-SVD: learning incoherent dictionaries for sparse representations. In: Proceedings of the 2012 International Conference on Acoustics, Speech and Signal Processing. Kyoto, Japan: IEEE, 2012. 3573-3576
    [54] Barchiesi D, Plumbley M D. Learning incoherent dictionaries for sparse approximation using iterative projections and rotations. IEEE Transactions on Signal Processing, 2013, 61(8): 2055-2065
    [55] Skretting K, Engan K. Recursive least squares dictionary learning algorithm. IEEE Transactions on Signal Processing, 2010, 58(4): 2121-2130
    [56] Labusch K, Barth E, Martinetz T. Robust and fast learning of sparse codes with stochastic gradient descent. IEEE Transactions on Selected Topics in Signal Processing, 2011, 5(5): 1048-1060
    [57] Sendur L, Selesnick I W. Bivariate shrinkage functions for wavelet based denoising exploiting interscale dependency. IEEE Transactions on Signal Processing, 2002, 50(11): 2744-2756
    [58] Lesage S, Gribonval R, Bimbot F, Benaroya L. Learning unions of orthonormal bases with thresholded singular value decomposition. In: Proceedings of the 2005 International Conference on Acoustics, Speech and Signal Processing. Philadelphia, PA: IEEE, 2005. 293- 296
    [59] Vidal R, Ma Y, Sastry S. Generalized principal component analysis (GPCA). IEEE Transactions on Pattern Analysis and Machine Intelligence, 2005, 27(12): 1945-1959
    [60] Bengio S, Pereira F, Singer Y, Strelow D. Group sparse coding. In: Proceedings of the 23rd Annual Conference on Neural Information Processing Systems. Vancouver, British Columbia, Canada: IEEE, 2009. 82-89
    [61] Szabo Z, Poczos B, Lorincz A. Online group-structured dictionary learning. In: Proceedings of the 2011 IEEE Conference on Computer Vision and Pattern Recognition. Providence, RI: IEEE, 2011. 2865-2872
    [62] Jenatton R, Mairal J, Obozinski G, Bach F. Proximal methods for hierarchical sparse coding. Journal of Machine Learning Research, 2011, 12(7): 2297-2334
    [63] Mairal J, Sapiro G, Elad M. Learning multiscale sparse representations for image and video restoration. Multiscale Modeling and Simulation, 2008, 7(1): 214-241
    [64] Ophir B, Lustig M, Elad M. Multi-scale dictionary learning using wavelets. IEEE Journal of Selected Topics in Signal Processing. 2011, 5(5): 1014-1024
    [65] Thiagarajan J J, Ramamurthy K N, Spanias A. Multilevel dictionary learning for sparse representation of images. In: Proceedings of the 2011 IEEE Digital Signal Processing Workshop and Signal Processing Education Workshop. Sedona, AZ: IEEE, 2011. 271-276
    [66] Rubinstein R, Zibulevsky M, Elad M. Double sparsity: learning sparse dictionaries for sparse signal approximation. IEEE Transactions on Signal Processing, 2010, 58(3): 1553-1564
    [67] Yaghoobi M, Davies M E. Compressible dictionary learning for fast sparse approximations. In: Proceedings of the 15th IEEE/SP Workshop on Statistical Signal Processing. Cardiff: IEEE, 2009. 662-665
    [68] Hawe S, Seibert M, Kleinsteuber M. Separable dictionary learning. In: Proceedings of the 2013 IEEE Conference on Computer Vision and Pattern Recognition. Washington D.C., USA: IEEE, 2013. 438-445
    [69] Jost P, Vandergheynst P, Lesage S, Gribonval R. MoTIF: an efficient algorithm for learning translation invariant dictionaries. In: Proceedings of the 2006 IEEE International Conference on Acoustics, Speech and Signal Processing. Toulouse, France: IEEE, 2006. 5
    [70] Aharon M, Elad M. Sparse and redundant modeling of image content using an image-signature-dictionary. SIAM Journal on Imaging Sciences, 2008, 1(3): 228-247
    [71] Rusu C, Dumitrescu B, Tsaftaris S A. Explicit shift-invariant dictionary learning. IEEE Signal Processing Letters, 2014, 21(1): 6-9
    [72] Pope G, Aubel C, Studer C. Learning phase-invariant dictionaries. In: Proceedings of the 2013 International Conference on Acoustics, Speech and Signal Processing. Vancouver, Canada: IEEE, 2013. 5979-5983
    [73] Zhou M, Yang H, Paisley J, Ren L. Nonparametric Bayesian dictionary learning for analysis of noisy and incomplete images. IEEE Transactions on Image Processing, 2012, 21(1): 130-144
    [74] Ravishankar S, Bresler Y. Learning sparsifying transform. IEEE Transactions on Signal Processing, 2013, 61(5): 1072-1086
    [75] Rubinstein R, Peleg T, Elad M. Analysis K-SVD: a dictionary-learning algorithm for the analysis sparse model. IEEE Transactions on Signal Processing, 2013, 61(3): 661-677
    [76] Chen Y J, Ranftl R, Pock T. Insights into analysis operator learning: from patch-based sparse models to higher order MRFs. IEEE Transactions on Image Processing, 2014, 23(3): 1060-1072
    [77] Zhang Y, Wang H L, Yu T L. Subset pursuit for analysis dictionary learning. In: Proceedings of the 21th European Signal Processing Conference. Marrakech, Morocco, 2013. 1-5
    [78] Zhang Y, Wang H L, Wang W W, Sanei S. K-plane clustering algorithm for analysis dictionary learning. In: Proceedings of the 2013 IEEE International Workshop on Machine Learning for Signal Processing. Southampton, Britain: IEEE, 2013. 1-4
    [79] Dong J, Wang W W, Dai W. Analysis SimCO: a new algorithm for analysis dictionary learning. In: Proceedings of the 2014 IEEE International Conference on Acoustics, Speech and Signal Processing. Florence, Italy: IEEE, 2014. 7193-7197
    [80] Yaghoobi M, Nam S, Gribonval R, Davies M E. Constrained overcomplete analysis operator learning for cospaese signal modelling. IEEE Transactions on Signal Processing, 2013, 61(9): 2141-2355
    [81] Yaghoobi M, Davies M E. Relaxed analysis operator learning. In: Proceedings of the 2012 NIPS, Workshop on Analysis Operator Learning vs. Dictionary Learning: Fraternal Twins in Sparse Modeling. Lake Tahoe, USA: IEEE, 2012.
    [82] Hawe S, Kleinsteuber M, Diepold K. Analysis operator learning and its application to image reconstruction. IEEE Transactions on Image Processing, 2013, 22(6): 2138-2150
    [83] Ravishankar S, Bresler Y. Sparsifying transform learning for compressed sensing MRI. In: Proceedings of the 10th International Symposium on Biomedical Imaging. San Francisco, CA: IEEE, 2013. 17-20
    [84] Ravishankar S, Bresler Y. Closed-form solutions within sparsifying transform learning. In: Proceedings of the 2013 IEEE International Conference on Acoustics, Speech and Signal Processing. Vancouver, Canada: IEEE, 2013. 5378-5382
    [85] Ravishankar S, Bresler Y. Learning sparsifying transforms for image processing. In: Proceedings of the 2012 19th IEEE International Conference on Image Processing. Orlando, USA: IEEE, 2012. 681-684
    [86] Eksioglu E M, Bayir O. K-SVD meets transform learning: transform K-SVD. IEEE Signal Processing Letters, 2014, 21(3): 347-351
    [87] Qi N,Shi Y H, Sun X Y, Wang J D, Ding W P. Two dimensional analysis sparse model. In: Proceedings of the 20th International Conference on Imaging Processing. Melbourne, Australia: IEEE, 2013. 310-314
    [88] Seibert M, Wrmann J, Gribonval R, Kleinsteuber M. Separable cosparse analysis operator learning. In: Proceedings of the 22nd European Signal Processing Conference (EUSIPCO). Lisbonne, Portuga, 2014.
    [89] Ravishankar S, Bresler Y. Learning doubly sparsifying transforms for images. IEEE Transactions on Image Processing, 2013, 22(12): 4598-4612
    [90] Anaraki P F, Hughes S M. Compressive K-SVD. In: Proceedings of the 2013 IEEE International Conference on Acoustics, Speech, and Signal Processing. Vancouver, Canada: IEEE, 2013. 5469-5473
    [91] Aghagolzadeh M, Radha H. Compressive dictionary learning for image recovery. In: Proceedings of the 19th IEEE International Conference on Image Processing. Orlando, USA: IEEE, 2012. 661-664
    [92] Ravishankar S, Bresler Y. MR image reconstruction from highly undersampled k-space data by dictionary learning. IEEE Transactions on Medical Imaging, 2011, 30(5): 1028-1041
    [93] Zhang J, Zhao C, Zhao D B, Gao W. Image compressive sensing recovery using adaptively learned sparsifying basis via L0 minimization. Signal Processing, 2014, 103: 114-126
    [94] Goldstein T, Osher S. The split Bregman algorithm for L1 regularized problems. SIAM Journal on Imaging Sciences, 2009, 2(2): 323-343
    [95] Chen C, Tramel E W, Fowler J E. Compressed-sensing recovery of images and video using multi-hypothesis predictions. In: Proceedings of the 45th Asilomar Conference on Signals, Systems, and Computers. Pacific Grove, USA: IEEE, 2011. 1193-1198
    [96] Wormann J, Hawe S, Kleinsterber M. Analysis based blind compressive sensing. IEEE Signal Processing Letters, 2013, 20(5): 491-494
    [97] Jalali S, Maleki A, Baraniuk R G. Minimum complexity pursuit for universal compressed sensing. IEEE Transactions on Information Theory, 2014, 60(4): 2253-2268
    [98] Kolmogorov A N. Logical basis for information theory and probability theory. IEEE Transactions on Information Theory, 1968, 14(5): 662-664
    [99] Rissanen J. Modeling by shortest data description. Automatica, 1978, 14(5): 465-471
    [100] Grunwald P D. The Minimum Description Length Principle. Cambridge: UK Press, 2007.
    [101] Roos T, Myllymaki P, Rissanrien J. MDL denoising revisited. IEEE Transactions on Signal Processing, 2009, 57(9): 3347-3360
    [102] Chang S G, Yu B, Vetterli M. Adaptive wavelet thresholding for image denoising and compression. IEEE Transactions on Image Processing, 2000, 9(9): 1532-1546
    [103] Knaus C, Zwicker M. Dual-domain image denoising. In: Proceedings of the 2013 20th IEEE International Conference on Image Processing. Melbourne, Australia: IEEE, 2013. 440-444
    [104] Beckouche S, Starck J L, Fadili J. Astronomical image denoising using dictionary learning. Astronomy Astrophysics, 2013, 556(6): 14, DOI: 10.1051/0004-6361/ 201220752
    [105] Li S T, Fang L Y, Yin H T. An efficient dictionary learning algorithm and its application to 3-D medical image denoising. IEEE Transactions on Biomedical Engineering, 2012, 59(2): 417-427
    [106] Lian Qiu-Sheng, Zhang Jun-Qin, Chen Shu-Zhen. Single image super-resolution algorithm based on two-stage and multi-frequency -band dictionaries. Acta Automatica Sinica, 2013, 39(8): 1310-1320 (练秋生, 张钧芹, 陈书贞. 基于两级字典与分频带字典的图像超分辨率算法. 自动化学报, 2013, 39(3): 1310-1320)
    [107] Yang J C, Wright J, Huang T, Ma Y. Image super-resolution as sparse representation of raw image patches. In: Proceedings of the 2008 IEEE Conference on Computer Vision and Pattern Recognition. Anchorage, USA: IEEE, 2008. 1-8
    [108] Yang J C, Wright J, Huang T S, Ma Y. Image super-resolution via sparse representation. IEEE Transactions on Image Processing, 2010, 19(11): 2861-2873
    [109] Yang J C, Wang W Z, Lin Z, Cohen S, Huang T. Coupled dictionary training for image super-resolution. IEEE Transaction on Image Processing, 2012, 21(8): 3467-3478
    [110] Lu X Q, Yuan Y, Yan P K. Alternatively constrained dictionary learning for image superresolution. IEEE Transactions on Cybernetics, 2014, 44(3): 366-377
    [111] Wang S L, Zhang L, Liang Y, Pan Q. Semi-coupled dictionary learning with applications to image super-resolution and photo-sketch synthesis. In: Proceedings of the 2012 IEEE Conference on Computer Vision and Pattern Recognition. Providence, USA: IEEE, 2012. 2216-2223
    [112] Lian Qiu-Sheng, Chen Shu-Zhen. Image reconstruction for compressed sensing based on the combined sparse image representation. Acta Automatica Sinica, 2010, 36(3): 385-391 (练秋生, 陈书贞. 基于混合基稀疏图像表示的压缩传感图像重构. 自动化学报, 2010, 36(3): 385-391)
    [113] Rajwade A, Kittle D, Tsai T H, Brady D, Carin L. Codes hyperspectral imaging and blind compressive sensing. SIAM Journal on Imaging Sciences, 2013, 6(2): 782-812
    [114] Lingala S G, Jacob M. A blind compressive sensing frame work for accelerated dynamic MRI. In: Proceedings of the 9th IEEE International Symposium on Biomedical Imaging (ISBI). Barcelona, Spain: IEEE, 2012. 1060-1063
    [115] Huang J Z, Zhang S T, Metaxas D. Efficient MR image reconstruction for compressed MR imaging. Medical Image Analysis, 2011, 15(5): 670-679
    [116] Wright J, Yang A, Ganesh A, Sastry S, Ma Y. Roubust face recognition via sparse representation. Pattern Analysis and Machine Intelligence, 2009, 31(2): 210-227
    [117] Yang M, Zhang L, Yang J, Zhang D. Metaface learning for sparse representation based face recognition. In: Proceedings of the 17th IEEE International Conference on Image Processing. Hong Kong, China: IEEE, 2010. 1601-1604
    [118] Ramirez I, Sprechmann P, Sapiro G. Classification and clustering via dictionary learning with structured incoherence and shared features. In: Proceedings of the 2010 IEEE Conference on Computer Vision and Pattern Recognition. San Francisco, USA: IEEE, 2010. 3501-3508
    [119] Mairal J, Bach F, Ponce J. Task-driven dictionary learning. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2012, 34(4): 791-804
    [120] Zhang Q, Li B Q. Discriminative K-SVD for dictionary learning in face recognition. In: Proceedings of the 2010 IEEE Conference on Computer Vision and Pattern Recognition. San Francisco, USA: IEEE, 2010. 2691-2698
    [121] Yang M, Zhan D, Feng X C, Zhang D. Fisher discrimination dictionary learning for sparse representation. In: Proceedings of the 2011 IEEE International Conference on Computer Vision. Barcelona, Spain: IEEE, 2011. 543-550
    [122] Nguyen H V, Patel V M, Nasrabadi N M, Chellapa R. Kernel dictionary learning. In: Proceedings of the 2012 IEEE International Conference on Acoustics, Speech and Signal Processing Kyoto, Japan: IEEE, 2012. 2021-2024
    [123] Duarte-Carvejalino J M, Sapiro G. Learning to sense sparse signals: simultaneous sensing matrix and sparsifying dictionary optimization. IEEE Transactions on Image Processing, 2009, 18(7): 1395-1408
    [124] Chen W, Rodrigues M R D. Dictionary learning with optimized projection design for compressive sensing applications. IEEE Signal Processing Letters, 2013, 20(10): 992-995
    [125] Zhang Hai, Wang Yao, Chang Xiang-Yu, Xu Zong-Ben. L1/2 regularization. Science China: Information Sciences, 2010, 40(3): 412-422 (张海, 王尧, 常象宇, 徐宗本. L1/2 正则化. 中国科学: 信息科学, 2010, 40(3): 412-422)
    [126] Xu Z B, Chang X Y, Xu F M, Zhang H. L1/2 regularization: a thresholding representation theory and a fast solver. IEEE Transactions on Neural Networks and Learning Systems, 2012, 23(7): 1013-1027
    [127] Zuo W M, Meng D Y, Zhang L, Feng X C, Zhang D. A generalized iterated shrinkage algorithm for non-convex sparse coding. In: Proceedings of the 2013 IEEE International Conference on Computer Vision. Sydney, Australia: IEEE, 2013. 217-244
    [128] Candes E J, Plan Y. Matrix completion with noise. Proceedings of the IEEE, 2010, 98(6): 925-936
    [129] Cands E J, Recht B. Simple bounds for recovering low-complexity models. Mathematical Programming, 2013, 141(1-2): 577-589
    [130] Peng Yi-Gang, Suo Jin-Li, Dai Qiong-Hai, Xu Wen-Li. From compressed sensing to low-rank matrix recovery: theory and applications. Acta Automatica Sinica, 2013, 39(7): 981-994 (彭义刚, 索津莉, 戴琼海, 徐文立. 从压缩传感到低秩矩阵恢复: 理论与应用. 自动化学报, 2013, 39(7): 981-994)
    [131] Elad M. Sparse and redundant representation modeling-what next? IEEE Signal Processing Letters, 2012, 19(12): 922-928
    [132] Bao C L, Ji H, Quan Y H, Shen Z W. L0 norm based dictionary learning by proximal methods with global convergence. In: Proceedings of the 2014 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). Portland, USA: IEEE, 2013. 3858-3865
  • 加载中
计量
  • 文章访问数:  6257
  • HTML全文浏览量:  148
  • PDF下载量:  5360
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-04-14
  • 修回日期:  2014-10-12
  • 刊出日期:  2015-02-20

目录

    /

    返回文章
    返回