Application of support vector machine and relevance vector machine to determine evaporative losses in reservoirs

This article employs Support Vector Machine (SVM) and Relevance Vector Machine (RVM) for prediction of Evaporation Losses (E) in reservoirs. SVM that is firmly based on the theory of statistical learning theory, uses regression technique by introducing e-insensitive loss function has been adopted. RVM is based on a Bayesian formulation of a linear model with an appropriate prior that results in a sparse representation. The input of SVM and RVM models are mean air temperature (T) ( °C), average wind speed (WS) (m/sec), sunshine hours (SH)(hrs/day), and mean relative humidity (RH) (%). Equations have been also developed for prediction of E. The developed RVM model gives variance of the predicted E. A comparative study has also been presented between SVM, RVM and ANN models. The results indicate that the developed SVM and RVM can be used as a practical tool for prediction of E. Copyright © 2011 John Wiley & Sons, Ltd.

[1]  L. Buydens,et al.  Comparing support vector machines to PLS for spectral regression applications , 2004 .

[2]  Pijush Samui,et al.  Support vector machine applied to settlement of shallow foundations on cohesionless soils , 2008 .

[3]  F. Girosi,et al.  Nonlinear prediction of chaotic time series using support vector machines , 1997, Neural Networks for Signal Processing VII. Proceedings of the 1997 IEEE Signal Processing Society Workshop.

[4]  de Bruin,et al.  A Simple Model for Shallow Lake Evaporation , 1978 .

[5]  Subimal Ghosh,et al.  Statistical downscaling of GCM simulations to streamflow using relevance vector machine , 2008 .

[6]  F. Boadu Rock Properties and Seismic Attenuation: Neural Network Analysis , 1997 .

[7]  A. Goh,et al.  Support vector machines: Their use in geotechnical engineering as illustrated using seismic liquefaction data , 2007 .

[8]  Pradeep Kurup,et al.  Neural Networks for Profiling Stress History of Clays from PCPT Data , 2002 .

[9]  Akhtar Naeem Khan,et al.  Artificial neural network application to estimate kinematic soil pile interaction response parameters , 2007 .

[10]  Wossenu Abtew,et al.  Evaporation Estimation for Lake Okeechobee in South Florida , 2001 .

[11]  MohammadSajjad Khan,et al.  Application of Support Vector Machine in Lake Water Level Prediction , 2006 .

[12]  D. Mackay,et al.  Bayesian methods for adaptive models , 1992 .

[13]  Maher Maalouf,et al.  Support vector regression to predict asphalt mix performance , 2008 .

[14]  S. Wȩglarczyk,et al.  The interdependence and applicability of some statistical quality measures for hydrological models , 1998 .

[15]  Federico Girosi,et al.  An improved training algorithm for support vector machines , 1997, Neural Networks for Signal Processing VII. Proceedings of the 1997 IEEE Signal Processing Society Workshop.

[16]  Mahesh Pal,et al.  Modeling Pile Capacity Using Support Vector Machines and Generalized Regression Neural Network , 2008 .

[17]  Pijush Samui,et al.  Prediction of swelling pressure of soil using artificial intelligence techniques , 2010 .

[18]  O. Mangasarian,et al.  Robust linear programming discrimination of two linearly inseparable sets , 1992 .

[19]  Bernhard Schölkopf,et al.  A tutorial on support vector regression , 2004, Stat. Comput..

[20]  Prabir Kumar Basudhar,et al.  Prediction of residual friction angle of clays using artificial neural network , 2008 .

[21]  G. Wahba A Comparison of GCV and GML for Choosing the Smoothing Parameter in the Generalized Spline Smoothing Problem , 1985 .

[22]  Shie-Yui Liong,et al.  River Stage Forecasting in Bangladesh: Neural Network Approach , 2000 .

[23]  Mark B. Jaksa,et al.  Prediction of pile settlement using artificial neural networks based on standard penetration test data , 2009 .

[24]  Robert B. Stewart,et al.  A simple method for determining the evaporation from shallow lakes and ponds , 1976 .

[25]  Corinna Cortes,et al.  Support-Vector Networks , 1995, Machine Learning.

[26]  Harvey E. Jobson,et al.  Comparison of techniques for estimating annual lake evaporation using climatological data , 1982 .

[27]  Mahesh Pal,et al.  Support vector machines‐based modelling of seismic liquefaction potential , 2006 .

[28]  Dongjoo Park,et al.  Forecasting Freeway Link Travel Times with a Multilayer Feedforward Neural Network , 1999 .

[29]  Pijush Samui,et al.  Least‐square support vector machine applied to settlement of shallow foundations on cohesionless soils , 2008 .

[30]  Nitin Muttil,et al.  Discharge Rating Curve Extension – A New Approach , 2005 .