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Extreme Learning Machine Based Modeling of Resilient Modulus of Subgrade Soils

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Abstract

This paper investigates the potential of two variants of extreme learning machine based regression approaches in predicting the resilient modulus of cohesive soils. Support vector regression was used to compare the performance of the proposed extreme learning machine based regression approaches. The dataset used in this study was derived from literature and consists of 9 input parameters with a total of 891 cases. For testing, two methods i.e. train/test and tenfold cross validation was used. In case of train and test methods, a total of 594 randomly selected cases were used to train different algorithms and the remaining 297 data were used to test the created models. Correlation coefficient value of 0.991 (root mean square error = 3.47 MPa) was achieved by polynomial kernel based extreme learning machine in comparison to 0.990 and 0.990 (root mean square error = 4.790 and 4.290 MPa) by simple extreme learning machine and radial basis kernel function based support vector regression respectively with test dataset. Comparisons of results with tenfold cross validation also suggest that polynomial kernel based extreme learning machine works well in terms of root mean square error and computational cost with the used dataset. Sensitivity analysis suggests the importance of confining stress and deviator stress in predicting the resilient modulus when using with polynomial kernel based extreme learning machine modeling approach.

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References

  • AASHTO (1986) Standard specifications for transportation materials and methods of sampling and testing. AASHTO, Washington, DC

    Google Scholar 

  • Abu-Farsakh MY (2004) Assessment of direct cone penetration test methods for predicting the ultimate capacity of friction driven piles. J Geotech Geoenviron Eng 130:935–944

    Article  Google Scholar 

  • Coleri E, Guler M, Gungor AG, Harvey JT (2010) Prediction of subgrade resilient modulus using genetic algorithm and curve-shifting methodology: alternative to nonlinear constitutive models. Transp Res Rec 2170:64–73

    Article  Google Scholar 

  • Cortes C, Vapnik V (1995) Support vector networks. Mach Learn 20:273–297

    Google Scholar 

  • Flood I (2001) Neural networks in civil engineering: a review. In: Topping BHV (ed) Civil and structural engineering computing, Chap 8. Saxe-Coburg Publications, Stirlingshire, pp 185–209

    Google Scholar 

  • George KP (1992) Resilient testing of soils using gyratory testing machine. Transp Res Rec 1369:63–72

    Google Scholar 

  • George KP (2004) Prediction of resilient modulus from soil index properties. Rep. No. FHWA/MS-DOT-RD-04-172, Federal Highway Administration, U.S. Department of Transportation, Washington, DC

  • Gill MK, Asefa T, Kemblowski MW, Makee M (2006) Soil moisture prediction using support vector machines. J Am Water Resour Assoc 42:1033–1046

    Article  Google Scholar 

  • Hanittinan W (2007) Resilient modulus prediction using neural network algorithms. PhD Thesis, The Ohio State University, available online on http://rave.ohiolink.edu/etdc/view?acc_num=osu1190140082. Accessed on 25 April 2012

  • Hall M, Frank E, Holmes, G, Pfahringer B, Reutemann P, Witten IH (2009) The WEKA data mining software: an update. SIGKDD Explor 11(1):10–18

    Google Scholar 

  • Huang G-B, Babri HA (1997) General approximation theorem on feed forward networks. In: IEEE proceedings of international conference on information, communications and signal processing, ICICS ‘97, Singapore, pp 698–702

  • Huang G-B, Chen L, Siew C-K (2003) Universal approximation using incremental feed forward networks with arbitrary input weights. Technical Report ICIS/46/2003, School of Electrical and Electronic Engineering, Nanyang Technological University, October, Singapore

  • Huang G-B, Zhu Q-Y, Siew C-K (2006) Extreme learning machine: theory and applications. Neurocomputing 70:489–501

    Article  Google Scholar 

  • Huang G-B, Zhou H, Ding X, Zhang R (2012) Extreme learning machine for regression and multiclass classification. IEEE Trans Syst Man Cybern Part B Cybern 42:513–529

    Article  Google Scholar 

  • Khazanovich L, Celauro C, Chadbourn B, Zollars J, Dai S (2006) Evaluation of subgrade resilient modulus predictive model for use in mechanistic-empirical pavement design guide. Transp Res Rec 1947:155–166

    Article  Google Scholar 

  • Kim D-G (1999) Engineering properties affecting the resilient modulus of fine-grained soils as subgrade. Master Thesis, The Ohio State University, Columbus, OH. http://rave.ohiolink.edu/etdc/view?acc_num=osu1298905282. Accessed on 05 May 2012

  • Kim D-G (2004) Development of a constitutive model for resilient modulus of cohesive soils. Ph.D. Dissertation, The Ohio State University, Columbus, OH. http://rave.ohiolink.edu/etdc/view?acc_num=osu1078246971. Accessed on 05 May 2012

  • Kim D, Stokoe KH II (1992) Characterization of resilient modulus of compacted subgrade soils using resonant column and torsional shear tests. Transp Res Rec 1369:83–91

    Google Scholar 

  • Kim D, Kweon G, Lee K (1997) Alternative method of determining resilient modulus of compacted subgrade soils using free–free resonant column test. Transp Res Rec 1577:62–69

    Article  Google Scholar 

  • Maalouf M, Khoury N, Laguros JG, Kumin H (2012) Support vector regression to predict the performance of stabilized aggregate bases subject to wet–dry cycles. Int J Numer Anal Methods Geomech 36:675–696

    Article  Google Scholar 

  • Manisha PJ, Rastogi AK, Mohan BK (2008) Critical review of applications of artificial neural networks in groundwater hydrology. In: The 12th international conference of international association for computer methods and advances in geomechanics (IACMAG) 1–6 October, Goa, India, available online on www.civil.iitb.ac.in/~dns/IACMAG08/pdfs/J05.pdf. Accessed on 18 Nov 2012

  • Mas JF, Flores JJ (2008) The application of artificial neural networks to the analysis of remotely sensed data. Int J Remote Sens 29:617–663

    Article  Google Scholar 

  • Nazzal MD, Tatari O (2012) Evaluating the use of neural networks and genetic algorithms for prediction of subgrade resilient modulus. Int J Pavement Eng. doi:10.1080/10298436.2012.671944

    Google Scholar 

  • Pal M, Deswal S (2008) Modeling pile capacity using support vector machines and generalized regression neural network. J Geotech Geoenviron Eng 134:1021–1124

    Article  Google Scholar 

  • Pal M, Deswal S (2011) Support vector regression based shear strength modelling of deep beams. Comput Struct 89:1430–1439

    Article  Google Scholar 

  • Pal M, Goel A (2006) Prediction of the end depth ratio and discharge in semi-circular and circular shaped channels using support vector machines. Flow Meas Instrum 17:50–57

    Article  Google Scholar 

  • Pal M, Singh NK, Tiwari NK (2011) Support vector regression based modeling of pier scour using field data. Eng Appl Artif Intell 24:911–916

    Article  Google Scholar 

  • Platt JC (1999) Fast training of support vector machines using sequential minimal optimization. In: Schölkopf B, Burges C, Smola A (eds) Advances in Kernels methods: support vector machines. MIT Press, Cambridge, MA

    Google Scholar 

  • Pranshoo S, Ali E, Musharraf MZ (2008) Statistical models for determination of the resilient modulus of subgrade soils. Int J Pavement Res Technol 3:85–93

    Google Scholar 

  • Rao CR, Mitra SK (1971) Generalized inverse of matrices and its applications. Wiley, New York

    Google Scholar 

  • Rumelhart DE, Hinton GE, Williams RJ (1986) Learning representations by back-propagation errors. Nature 323:533–536

    Article  Google Scholar 

  • Seed HB, Chan CK, Lee CE (1962) Resilience characteristics of subgrade soils and their relation to fatigue failures in asphalt pavements. In: Proceedings of the first international conference on the structural design of asphalt pavements, University of Michigan, Ann Arbor, Michigan, August, pp 611–636

  • Serre D (2002) Matrices: theory and applications. Springer, New York

    Google Scholar 

  • Smola AJ (1996) Regression estimation with support vector learning machines. Master’s Thesis, Technische Universität München, Germany

  • Vapnik VN (1995) The nature of statistical learning theory. Springer, New York

    Book  Google Scholar 

  • Vapnik VN (1998) Statistical learning theory. Wiley, New York

    Google Scholar 

  • Witczak MW, Qi X, Muhmmad W, Mirza MW (1995) Use of non-linear subgrade modulus in AASHTO design procedure. J Transp Eng 121:273–282

    Article  Google Scholar 

  • Zaman M, Solanki P, Ebrahimi A, White L (2010) Neural network modeling of resilient modulus using routine subgrade soil properties. J Geomech 10:1–12

    Article  Google Scholar 

Download references

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Correspondence to Mahesh Pal.

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Pal, M., Deswal, S. Extreme Learning Machine Based Modeling of Resilient Modulus of Subgrade Soils. Geotech Geol Eng 32, 287–296 (2014). https://doi.org/10.1007/s10706-013-9710-y

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