一、引論與綜述

5  Dai Qi and Wei E.I. Sha, The Physics of Compressive Sensing and the Gradient-Based Recovery Algorithms,http://arxiv.org/abs/0906.1487

理論分析與觀測矩陣
二、理論分析與觀測矩陣

3  Lianlin Li, Yin Xiang, and Fang Li, Theoretical Analysis of Compressive Sensing via Random Filter,http://arxiv.org/abs/0811.0152

4  Xiao Z. Wang and Wei E.I. Sha, Random Sampling Using Shannon Interpolation and Poisson Summation Formulae, 

三、恢復演算法

3  Lianlin Li and Fang Li, Novel Algorithm for Sparse Solutions to Linear Inverse Problems with Multiple Measurements, http://arxiv.org/abs/0905.3245

4  Lianlin Li and Fang Li, A Novel Algorithm for Compressive Sensing: Iteratively Reweighed Operator Algorithm (IROA) , http://arxiv.org/abs/0903.4939

5  Yin Xiang, Lianlin Li, Fang Li, Compressive sensing by white random convolution, http://arxiv.org/abs/0909.2737v1

四、訊號與影象處理

3  Jianwei Ma, Compressed sensing by inverse scale space and curvelet thresholding,http://dsp.rice.edu/files/cs/Iss_Curvelet.pdf

4  Wen Tang, Jianwei Ma, and Felix J. Herrmann, Optimized compressed sensing for curvelet-based seismic data reconstruction, 

5  Jianwei Ma, Improved iterative curvelet thresholding for compressed sensing,http://dsp.rice.edu/files/cs/ISTcs2.pdf

6  Gerlind Plonka and Jianwei Ma, Curvelet-wavelet regularized split bregman iteration for compressed sensing,http://www.uni-due.de/~hm0029/pdfs/SPB_IST7.pdf

19  Jianwei Ma, Compressed sensing for surface characterization and metrology, IEEE Transactions on Instrumentation and Measurement, 2009, to appear.  
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5272200&tag=1

20  Gang Tang, R. Shahidi, Jianwei Ma, Felix Herrmann, Two dimensional stochastic sampling schemes for curvelet based seismic data recovery, Geophysical Prospecting, revised submitted, 2009. 
http://slim.eos.ubc.ca/index.php?module=articles&func=display&catid=18&aid=296

21  Jianwei Ma, Compressed sensing by iterative thresholding of geometric wavelets: a comparing study, Int. J. Wavelet, Multiresolution and Information Process., 2009, to appear.

物理、化學、與其它

五、物理、化學、與其它

1  Lianlin Li, Wenji Zhang, and  Fang Li, Compressive Diffraction Tomography for Weakly Scattering,http://arxiv.org/abs/0904.2695

2  Lianlin Li, Wenji Zhang, Yin Xiang, and  Fang Li, The Design of Compressive Sensing Filter,http://arxiv.org/abs/0811.2637

3  Lianlin Li, Wenji Zhang, and  Yin Xiang, The Design of Sparse Antenna Array, http://arxiv.org/abs/0811.0705

4  Jianwei Ma and Francois-Xavier Le Dimet, Deblurring from highly incomplete measurements for remote sensing,http://dsp.rice.edu/files/cs/CS_Deblurring.pdf

9  Jianwei Ma, A single-pixel imaging system for remote sensing using two-step iterative curvelet thresholding, IEEE Geoscience and Remote Sensing Letters, 2009, 6 (4), 676-680
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5159504&tag=1

六、部落格分享

程式與軟體包

七、程式與軟體包

Sparse大家並不陌生，是個經典話題了。而此時sparse已經卷土重來，雖然還是那一鍋湯，但是藥已經換了。以L1-minimization為核心的演算法，近幾年飛速進展，Compressive Sensing (Compressive Sampling) 已然成為數學領域和訊號處理最前沿最熱門的方向。最近一年多這種新形式的演算法快速蔓延到模式識別界應用，論文質量高、演算法效果好、而且演算法一般都非常簡單。而這僅僅是個開始，所以我一直有這個想法專開一貼，供大家一起討論、共同進步，今天付諸與行動，希望大家支援。在這個地方（第一個帖），我會陸續更新提供一些這方面的材料，供大家瞭解。如果大家提供了有趣的材料，我也儘量加進來。當然，此貼重點還是放在理論應用和模式識別上。大家踴躍發言啊！


Compressive Sensing資源主頁：
Compressive Sensing Resources （最權威最全面的Compressive Sensing資源主頁，幾乎什麼都能找的到）；
Compressive Sensing （和上面的差不多）；
Compressive Sensing Listing； 馬毅的課程主頁
Compressive Sensing Videos；Compressed Sensing Codes （還有Compressive Sensing Resources的Software一欄中）；
Nuit Blanche；Compressive Sensing: The Big Picture；Terence Tao's What's new;

Emmanuel Candès, Compressive sampling. (Int. Congress of Mathematics, 3, pp. 1433-1452, Madrid, Spain, 2006)
Richard Baraniuk, Compressive sensing. (IEEE Signal Processing Magazine, 24(4), pp. 118-121, July 2007)
Emmanuel Candès and Michael Wakin, An introduction to compressive sampling. (IEEE Signal Processing Magazine, 25(2), pp. 21 - 30, March 2008)
Justin Romberg, Imaging via compressive sampling. (IEEE Signal Processing Magazine, 25(2), pp. 14 - 20, March 2008)

Conferences and Symposiums
Short Course: Sparse Representations and High Dimensional Geometry, May 30 - June 1, 2007
New Directions Short Course: Compressive Sampling and Frontiers in Signal Processing, June 4 - 15, 2007（介紹性的資料和視訊）


理論方面的代表文獻：
Donoho 和 Candes 的文章幾乎都是經典，Terence Tao也值得關注，華裔數學新星


模式識別領域的應用（包括機器視覺）：
大家可以去Compressive Sensing Resources 看 Statistical Signal Processing, Machine Learning, Bayesian Methods, Applications of Compressive Sensing 等欄目
馬毅的一系列論文
John Wright, Allen Yang, Arvind Ganesh, Shankar Shastry, and Yi Ma, Robust face recognition via sparse representation. (To appear in IEEE Trans. on Pattern Analysis and Machine Intelligence) , 2008
Allen Yang, John Wright, Yi Ma, and Shankar Sastry, Feature selection in face recognition: A sparse representation perspective. (Preprint, 2007)
Kwak, N., Principal Component Analysis Based on L1-Norm Maximization, IEEE Transactions on Pattern Analysis and Machine Intelligence, 2008.
Bhusnurmath, Arvind; Taylor, Camillo J., Graph Cuts via $ell_1$ Norm Minimization, IEEE Transactions on Pattern Analysis and Machine Intelligence, 2008.
Jianchao Yang, John Wright, Thomas Huang, and Yi Ma, Image Super-Resolution as Sparse Representation of Raw Image Patches, IEEE Conference on Computer Vision and Pattern Recognition (CVPR), June 2008.
Arvind Ganesh, Zihan Zhou, and Yi Ma, Separation of A Subspace-Sparse Signal: Algorithms and Conditions, ICASSP 2009.

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