Neural networks for inverse problems using principal component analysis and orthogonal arrays

AIAA Journal

Volumn 44, Issue 7, 2006, Pages 1628-1634

  Kim, Yong Y ^a,b,c   Kapania, Rakesh K ^a,b,d,e  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b Department of Aerospace and Ocean Engineering ^*  (South Korea)

^c Chonbuk National University   (South Korea)

^d Multidisciplinary Analysis and Design Center for Advanced Vehicles   (United States)

^e AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CANTILEVER PLATES; COMPUTATIONAL RESOURCES; INTEGRITY OF DATA; ORTHOGONAL ARRAYS;

COMPUTER SIMULATION; FINITE ELEMENT METHOD; IDENTIFICATION (CONTROL SYSTEMS); INVERSE PROBLEMS; PHOTONS; PRINCIPAL COMPONENT ANALYSIS; PROBLEM SOLVING;

NEURAL NETWORKS;

EID: 33747083215     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.10641     Document Type: Article

References (11)

1. Kim, Y. Y., and Kapania, R. K., "Neural Networks for Inverse Problems in Damage Identification and Optical Imaging," AIAA Journal, Vol. 41, No. 4, 2003, pp. 732-740.
2. Müller, G. J., Medical Optical Tomography: Functional Imaging and Monitoring, SPIE Optical Engineering Press, Bellingham, WA, 1993, pp. 12-20.
3. Arridge, S. R., "A Gradient-Based Optimization Scheme for Optical Tomography," Optics Express, Vol. 2, No. 6, 1997, pp. 213-226.
4. Arridge, S. R., and Schweiger, M., "Image Reconstruction in Optical Tomography," Philosophical Transactions of the Royal Society of London, Series B: Biological Sciences, Vol. 352, No. 1354, 1997, pp. 717-726.
5. Diamantaras, K. I., and Kung, S. Y., Principal Component Neural Networks, Wiley-Interscience, New York, 1996, pp. 44-73.
6. Zang, C., and Imergun, M., "Structural Damage Detection Using Artificial Neural Networks and Measured ERF Data Reduced via Principal Component Projection," Journal of Sound and Vibrations, Vol. 242, No. 5, 2001, pp. 813-827.
7. Hedayat, A. S., Sloane, N. J. A., and Stufken, J., Orthogonal Arrays, Springer, New York, 1999, pp. 199-340.
8. Chang, C. C., Chang, T. Y. P., and Xu, Y. G., "Selection of Training Samples for Model Updating Using Neural Networks," Journal of Sound and Vibration, Vol. 249, No. 5, 2002, pp. 867-883.
9. Peace, G. S., Taguchi Methods, A Hands On Approach, Addison-Wesley, Reading, MA, 1993.
10. Arridge, S. R., Schweiger, M., Hiraoka, M., and Delpy, D. T., "A Finite Element Approach for Modeling Photon Transport in Tissue," Medical Physics, Vol. 20, No. 2, 1993, pp. 299-309.
11. Arridge, S. R., and Schweiger, M., "Direct Calculation of the Moments of the Distribution of Photon Time of Flight in Tissue with a Finite-Element Method," Applied Optics, Vol. 34, No. 15, 1995, pp. 2683-2687.