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小波分析与神经网络结合的研究进展

陈哲 冯天瑾

陈哲, 冯天瑾. 小波分析与神经网络结合的研究进展[J]. 电子与信息学报, 2000, 22(3): 496-504.
引用本文: 陈哲, 冯天瑾. 小波分析与神经网络结合的研究进展[J]. 电子与信息学报, 2000, 22(3): 496-504.
Chen Zhe, Feng Tianjin. RESEARCH ADVANCES ON COMBINATIN OF WAVELET ANALYSIS AND NEURAL NETWORKS[J]. Journal of Electronics & Information Technology, 2000, 22(3): 496-504.
Citation: Chen Zhe, Feng Tianjin. RESEARCH ADVANCES ON COMBINATIN OF WAVELET ANALYSIS AND NEURAL NETWORKS[J]. Journal of Electronics & Information Technology, 2000, 22(3): 496-504.

小波分析与神经网络结合的研究进展

RESEARCH ADVANCES ON COMBINATIN OF WAVELET ANALYSIS AND NEURAL NETWORKS

  • 摘要: 目前,小波与神经网络的结合是一个十分活跃的研究领域。本文综述了这一领域的研究进展和现状,从两者结合方式的不同将其分为辅助式及嵌套式两种结合方式,重点阐述了嵌套式的结合方式小波神经网络,并对其主要模型、算法和其它相关问题进行了论述。本文还讨论了小波网络的各种应用,从中可以看到它在函数逼近、信号分类、系统辨识、图像压缩等应用领域有极大的潜力,最后展望了今后的研究方向。
  • Rumethart D E,McCelland J L,Eds.Parallel Distributed Processing 1:Foundation.Cambridge, M A:MIT Press,1986.Chapter 8:318-362.[2]Grossmann A,Morlet J.Decomposition of Hardy functions into square integrable wavelets of constant shape.SIAM J.Math.Anal,1984,(15):723-736.[3]Meyer Y.Wavelet:Algorithms and Applications.Philadelphia,PA:SIAM Press,1993.[4]Chui C K,Ed.Wavelet:A Tutorial in Theory and Application.New York:NY:Academic Press 1992.[5]Chui C K.An Introduction to Wavelets.New York:NY:Academic Press,1992.[6]Daubechies I.Ten Lectures on wavelets.Philadelphia,PA:SIAM Press,1992.[7]Daubechies I. The wavelets transfbrm, time-frequency localization and signal analysis.IEEE Trans.on Info.Theory.1990,IT-36(5):961-1005.[8]Daugman G.Complete discrete 2-D transforms by neural networks for image analysis and com pression.IEEE Trans. On ASSP, 1988, ASSP-36(7): 1169-1179.[9]Telfer B, Szu H, Dobeck G. Adaptive wavelet classification of acoustic backscatter and imagery[J].Optical Engineering.1994, 33(9):2192-2203[10]Casasent D, Smokelin J S. Neural net design of macro Gabor wavelet filters for distortion-invariant object detection in clutter. Optical Engineering, 1994, 38(9): 2264-2271.[11]Denk T, et al. Combining neural networks and the wavelet transform for image compression.Proc. IEEE ICASSP. Minnesota, USA: 1993, 1:637-640.[12]Szu H, Yang X, Telfer B, et al. Neural network and wavelet transform for scale-invariant data classification[J].Phys. Rev. E.1993, 48(2):1497-1501[13]Kalayci T, Ozdamar O, Erdol N. The Use of wavelet transform as preprocessor for the nmural network detection of EEG spikes. Proc. IEEE Southeast Conference, 1994, 1-3.[14]Cheng Qiming, Tian Jilei,Zhang Shujing, et al. The Application of neural network to wavelet decomposition of surface EMG signal. Proc. Of IJCNN, Beijing: 1992, 1:889-892.[15]Mukherjee S, Nayar S K. Automatic generation of RBF networks using wavelets[J].Pattern Recog nition.1996, 29(8):1369-1383[16]Hecht-Nielson R.Theory of the backpropagation neural network. Proc. Of IJCNN, Washington DC, USA: 1989, 1:593-611.[17]Pati Y C, Krishnaprasad P S. Discrete Affine Wavelet Transform for Analysis and Synthesis of Feedforward Neural Network. Advances in Neural Information Processing System.Lippman R (Eds.) San Mateo, CA: Morgan Kaufmann, 1990, 3:743-749.[18]Pati Y C,Krishnaprasad P S. Analysis and synthesis of feedforward neural network using discrete affine wavelet. IEEE Trans. On NN, 1993, NN-4(1): 73-75.[19]Zhang Q, Benveniste A. Wavelet networks. IEEE Trans. On NN: 1992, NN-3(6): 889-898.[20]Szu H, Telfer B, Kadambe S. Neural network adaptive wavelets for signal representation and classification[J].Optical Engineering.1992, 31(9):1907-1916[21]Baskshi B R, Stephanopoulous G. Wave-net: a multiresolution,hierarchical neural network with localized learning. American Institute Chemical. Engineering Journal., 1993; 39(1): 57-81.[22]Boubez T, Peskin R L. Wavelet neural networks and receptive field partitioning. Proc. Of IEEE ICNN, San Francisco, CA, USA: 1993, 3:1544-1549.[23]Zhang Jun: Walter G, Miao Y, ea al. Wavelet neural networks for function learning. IEEE Trans. On SP, 1995, SP-43(6): 1485-1497.[24]石卓尔,焦李成,保铮. 子波神经网络.中国神经网络1993年学术大会论文集(上),西安:1993,85-96.[25]丁宇新,沈雪勤.基于能量密度的小波神经网络.计算机学报.1997.20(9):832-838.[26]沈雪勤,贾向红,吴永清.能量密度在正交小波神经网络中的应用.1997年中国神经计算科学大会论文集 CCNS,南京:1997,2:613-616.[27]高协平,张钹.区间小波神经网络(I)理论与实现.软件学报, 1998:9(3): 217-221.[28]高协平,张钹.区间小波神经网络(II)性质与模拟.软件学报, 1998, 9(4): 246-250.[29]王岭,焦李成.区间估计的FWNN及其区间间学习算法.电子学报,1998,26(4):41-45.[30]Zhang Liangjie, Li Yanda. Wavelet Based Fuzzy Networks.Proc.ISANN.Taiwan:1994,180-185.
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出版历程
  • 收稿日期:  1998-10-05
  • 修回日期:  1999-05-23
  • 刊出日期:  2000-05-19

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