Signal and Information Processing


Effects of Forgetting Factor on RLS Dictionary Learning  

Expand
  • 1. Air Force Engineering University, Xi’an 710051, China
    2. 94559 Unit, Chinese People’s Liberation Army, Xuzhou 221000, Jiangsu Province, China

Received date: 2011-12-08

  Revised date: 2012-01-12

  Online published: 2012-01-12

Abstract

Dictionary learning is a hot topic in signal sparse decomposition. The choice of the initial dictionary affects the result of dictionary learning. In order to reduce the effects, a forgetting factor is introduced into the recursive least squares (RLS) dictionary learning. The dictionary learning effects of three dictionary
learning methods, method of optimal directions (MOD), K singular value decomposition (KSVD), and RLS are compared. Influences of different fixed forgetting factors on the final learned dictionary are analyzed,and the results of dictionary learning with different forgetting factors studied. Simulation shows that the RLS dictionary learning reduces the influence of the initial dictionary, and gives better effects. Results of the dictionary learning are influenced by the choice of the forgetting factor.

Cite this article

YU Fu-ping1,2, FENG You-qian1, LEI Teng1, LI Zhe1 .
Effects of Forgetting Factor on RLS Dictionary Learning  [J]. Journal of Applied Sciences, 2014
, 32(1) : 44 -50 . DOI: 10.3969/j.issn.0255-8297.2014.01.008

References

[1] 焦李成,杨淑媛,刘芳,侯彪. 压缩感知回顾与展望[J]. 电子学报, 2011, 39(7): 1651-1662. JIAO Licheng, YANG Shuyuan, LIU Fang, HOU Biao. Development and prospect of compressive sensing [J]. Acta Electronica Sinica, 2011, 39(7): 1651-1662. (in Chinese)

[2] SKRETTING K, ENGAN K. Image compression using learned dictionaries by RLS-DLA and compared with K-SVD[C]//Proc. IEEE International Conference Acoust., Speech, Signal Process (ICASSP), 2011, Pargue, Czech Republic, 2011:1517-1520.

[3] M. Elad. Sparse and redundant representations from theory to applications in signal and image processing [D]. New York: Springer, 2010.

[4] 邓承志,曹汉强. 多尺度脊波字典的构造及其在图像编码中的应用[J]. 图像图形学报,2009,14(7):1273-1278. (DENG Chengzhi, CAO Hanqiang. Construction of multi-scale ridgelet dictionary and its application for image coding[J]. Journal of Image and Graphics, 2009, 14(7):1273 -1278. (in Chinese)

[5] 孙玉宝,肖亮,韦志辉,邵文泽. 基于Gabor感知多成份字典的图像稀疏表示算法研究[J].自动化学报,2008,34(11):1379-1387. SUN Yubao, XIAO Liang, WEI Zhihui, SHAO Wenze. Sparse representations of images by a multi-component Gabor perception dictionary[J]. Acta Automatica Sinica, 2008, 34(11): 1379-1387. (in Chinese)

[6] SHEN Bin, HU Wei, ZHANG Yimin, ZHANG Yujin. Image inpainting via sparse representation [C]//Proc. IEEE International Conference Acoust., Speech, Signal Process. Taiwan, 2009: 697-700.

[7] 刘金江,王春光,孙即祥. 基于稀疏分解和神经网络的心电信号波形检测即识别[J]. 信号处理,2011,27(6):843-850. LIU Jinjiang, Wang Chunguang, SUN Jixiang. The detection and recognition of electrocardiogram’s waveform based on sparse decomposition and neural network[J]. Signal Processing,2011, 27(6): 843-850. (in Chinese)

[8] 杨清山,郭成安,金明录. 基于Gabor 多通道加权优化与稀疏表征的人脸识别方法[J]. 电 子与信息学报,2011,33(7): 1618-1624. YANG Qingshan, GUO Chengan, JIN Minglu. Face recognition based on Gabor multi- channel weighted optimization and sparse representation[J]. Journal of Electronics & Information Technology, 2011, 33(7): 1618-1624. (in Chinese)

[9] 彭富强,于德介,刘坚. 一种基于多尺度线调频基的稀疏信号分解方法[J]. 振动工程学报,2010,23(3):333-338. PENG Fuqiang,YU Dejie,LIU Jian. Sparse signal decomposition method based on multi-scale chirplet [J]. Journal of Vibration Engineering, 2010, 23(3):333- 338. (in Chinese)

[10] Karl Skretting K, Kjersti Engan K. Recursive least squares dictionary learning algorithm [J]. IEEE Transactions on Signal Processing, 2010, 58(4): 2121-2130.

[11] Michal Aharon M, Michael Elad M, Alfred Bruckstein A. K-SVD: an algorithm for designing overcomplete dictionaries for sparse representation [J]. IEEE Transactions on Signal Processing, 2006, 54 (11):4311- 4322.

[12] ENGAN K, AASE S O, HUSOY J H. Method of optimal directions for frame design [C]// Proc. IEEE International Conference Acoust., Speech, Signal Process. (ICASSP), 1999: 2443-2446.

[13] Maria G. JAFARI M G, Mark D. PLUMBLEY M D. Fast dictionary learning for sparse representations of speech signals [J]. IEEE Journal of Selected Topic in Signal Processing, 2011, 5(5):1025- 1031.

[14] Md. Mashud Hyder M M, Kaushik Mahata K. An improved smoothed  approximation algorithm for sparse representation [J]. IEEE Transactions on Signal Processing, 2010, 58(4): 2194-2205.
Outlines

/