Least Square Support Vector Machine Applied to Slope Reliability Analysis

被引：33
作者：
Samui P. [1 ]
Lansivaara T. [2 ]
Bhatt M.R. [3 ]
机构：
[1] Centre for Disaster Mitigation and Management, VIT University, Vellore
[2] Department of Civil Engineering, Tampere University of Technology, Tampere
[3] School of Mechanical and Building Science, VIT University, Vellore
来源：
Geotech. Geol. Eng. | 2013年 / 4卷 / 1329-1334期
关键词：
First order second moment (FOSM) method; Implicit performance function; Least square support vector machine; Slope reliability;
D O I：
10.1007/s10706-013-9654-2
中图分类号：
学科分类号：
摘要：
This paper investigates the feasibility of Least square support vector machine (LSSVM) model to cope the problem of implicit performance function during first order second moment (FOSM) method based slope reliability analysis. LSSVM is firmly based on the theory of statistical learning. In LSSVM, Vapnik's ε -insensitive loss function has been replaced by a cost function which corresponds to a form of ridge regression. Here, LSSVM has been used as a regression technique to approximate implicit performance functions. A slope example has been presented for illustrating the applicability of LSSVM based FOSM method. The developed LSSVM based FOSM has been compared with the artificial neural network (ANN) and least square method. The result shows that the approximation of LSSVM can be used in the FOSM method for slope reliability analysis. © 2013 Springer Science+Business Media Dordrecht.
引用
收藏
页码：1329 / 1334
页数：5
相关论文
共 30 条
  • [1] Alonso E.E., Risk analysis of slopes and its application to slopes in Canadian sensitive clays, Geotechnique, 26, 3, pp. 453-472, (1976)
  • [2] Bishop A.W., The use of slip circle in the stability analysis of slopes, Geotechnique, 5, pp. 7-17, (1955)
  • [3] Bucher C.G., Bourgund U., A fast and efficient response surface approach for structural reliability problems, Struct Saf, 7, 1, pp. 57-66, (1990)
  • [4] Chowdhury R.N., Xu D.W., Rational polynomial technique in slope-reliability analysis, J Geotech Eng Div, 119, 12, pp. 1910-1928, (1993)
  • [5] Christian J.T., Charles C., Ladd C.C., Baecher B.G., Reliability applied to slope stability analysis, J Geotech Eng, 120, 12, pp. 2180-2207, (1994)
  • [6] Cornell C.A., First-order uncertainty analysis of soils deformation and stability, Proceedings of 1st international conference on application of probability and statistics in soil and structural engineering (ICAPI), pp. 129-144, (1971)
  • [7] Deng J., Structural reliability analysis for implicit performance function using radial basis function network, Int J Solids Struct, 43, pp. 3255-3291, (2006)
  • [8] Deng J., Gu D., Li X., Yue Z.Q., Structural reliability analysis for implicit performance functions using artificial neural network, Struct Saf, 27, 1, pp. 25-48, (2005)
  • [9] Faravelli L., Response surface approach for reliability analysis, J Eng Mech, 115, 12, pp. 2763-2781, (1989)
  • [10] Goh T.H., Goh S.H., Support vector machines: their use in geotechnical engineering as illustrated using seismic liquefaction data, Comput Geotech, 34, pp. 410-421, (2007)
123