El-Ramly H, Morgenstern NR, Cruden DM (2002) Probabilistic slope stability analysis for practice. Can Geotech J 39:665–683. https://doi.org/10.1139/t02-034
Liang RY, Nusier OK, Malkawi AH (1999) A reliability based approach for evaluating the slope stability of embankment dams. Eng Geol. https://doi.org/10.1016/S0013-7952(99)00017-4
Salgado R, Kim D (2014) Reliability analysis of load and resistance factor design of slopes. J Geotech Geoenviron Eng 140:57–73. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000978
Roh G, Hong HP (2009) Calibration of information-sensitive partial factors for assessing earth slopes. J Geoengin. https://doi.org/10.6310/jog.2009.4(3).3
Christian JT, Ladd CC, Baecher GB (1994) Reliability applied to slope stability analysis. J Geotech Eng. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:12(2180)
Li DQ, Jiang SH, Cao ZJ et al (2015) A multiple response-surface method for slope reliability analysis considering spatial variability of soil properties. Eng Geol. https://doi.org/10.1016/j.enggeo.2014.12.003
Griffiths DV, Fenton GA (2004) Probabilistic slope stability analysis by finite elements. J Geotech Geoenviron Eng 130:507–518. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:5(507)
Griffiths DV, Huang J, Fenton GA (2009) Influence of spatial variability on slope reliability using 2-D random fields. J Geotech Geoenviron Eng. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000099
Ji J (2014) A simplified approach for modeling spatial variability of undrained shear strength in out-plane failure mode of earth embankment. Eng Geol. https://doi.org/10.1016/j.enggeo.2014.09.004
Zeng P, Jimenez R (2014) An approximation to the reliability of series geotechnical systems using a linearization approach. Comput Geotech 62:304–309. https://doi.org/10.1016/j.compgeo.2014.08.007
Hong HP, Roh G (2008) Reliability evaluation of earth slopes. J Geotech Geoenviron Eng. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:12(1700)
Cho SE (2007) Effects of spatial variability of soil properties on slope stability. Eng Geol. https://doi.org/10.1016/j.enggeo.2007.03.006
Suchomel R, Mašín D (2010) Comparison of different probabilistic methods for predicting stability of a slope in spatially variable c-φ soil. Comput Geotech. https://doi.org/10.1016/j.compgeo.2009.08.005
Xue J-F, Gavin K (2007) Simultaneous determination of critical slip surface and reliability index for slopes. J Geotech Geoenviron Eng. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:7(878)
Duncan JM (2000) Factors of Safety and Reliability in Geotechnical Engineering. J Geotech Geoenviron Eng 126:307–316. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:4(307)
Tang XS, Li DQ, Zhou CB, Phoon KK (2015) Copula-based approaches for evaluating slope reliability under incomplete probability information. Struct Saf. https://doi.org/10.1016/j.strusafe.2014.09.007
Hsu S, Nelson PP (2006) Material spatial variability and slope stability for weak rock masses. J Geotech Geoenviron Eng 132:183–193. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:2(183)
El-Ramly H, Morgenstern NR, Cruden DM (2005) Probabilistic assessment of stability of a cut slope in residual soil. Géotechnique. https://doi.org/10.1680/geot.2005.55.1.77
Jiang S-H, Li D-Q, Cao Z-J et al (2014) Efficient system reliability analysis of slope stability in spatially variable soils using Monte Carlo simulation. J Geotech Geoenviron Eng. https://doi.org/10.1061/(asce)gt.1943-5606.0001227
Jiang S-H, Huang J-S (2016) Efficient slope reliability analysis at low-probability levels in spatially variable soils. Comput Geotech 75:18–27. https://doi.org/10.1016/j.compgeo.2016.01.016
Fellenius W (1936) Calculation of stability of earth dams. Proc Second Congr large dams 4:445–463
Bishop AW (1955) The use of the slip circle in the stability analysis of slopes. Géotechnique 5:7–17. https://doi.org/10.1680/geot.1955.5.1.7
Morgenstern NR, Price VE (1965) The analysis of the stability of general slip surfaces. Géotechnique. https://doi.org/10.1680/geot.1965.15.1.79
Wu TH, Kraft LM (1970) Safety analysis of slopes. J Soil Mech Found Div ASCE 96:609–630
Alonso EE (1977) Discussion: risk analysis of slopes and its application to slopes in Canadian sensitive clays. Géotechnique 27:254–258. https://doi.org/10.1680/geot.1977.27.2.254
Husein Malkawi AI, Hassan WF, Abdulla FA (2000) Uncertainty and reliability analysis applied to slope stability. Struct Saf 22:161–187. https://doi.org/10.1016/S0167-4730(00)00006-0
Wong FS (1985) Slope reliability and response surface method. J Geotech Eng 111:32–53. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:1(32)
Faravelli L (1989) Response-surface approach for reliability analysis. J Eng Mech 115:2763–2781. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:12(2763)
Bucher CG, Bourgund U (1990) A fast and efficient response surface approach for structural reliability problems. Struct Saf. https://doi.org/10.1016/0167-4730(90)90012-E
Guan XL, Melchers RE (1997) Multitangent-plane surface method for reliability calculation. J Eng Mech 123:996–1002. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:10(996)
Friedman JH (1991) Rejoinder: multivariate adaptive regression splines. Ann Stat. https://doi.org/10.1214/aos/1176347973
Zhang WG, Goh ATC (2013) Multivariate adaptive regression splines for analysis of geotechnical engineering systems. Comput Geotech 48:82–95. https://doi.org/10.1016/j.compgeo.2012.09.016
Liu LL, Cheng YM (2016) Efficient system reliability analysis of soil slopes using multivariate adaptive regression splines-based Monte Carlo simulation. Comput Geotech. https://doi.org/10.1016/j.compgeo.2016.05.001
Samui P (2013) Multivariate adaptive regression spline (mars) for prediction of elastic modulus of jointed rock mass. Geotech Geol Eng 31:249–253. https://doi.org/10.1007/s10706-012-9584-4
Metya S, Mukhopadhyay T, Adhikari S, Bhattacharya G (2017) System reliability analysis of soil slopes with general slip surfaces using multivariate adaptive regression splines. Comput Geotech. https://doi.org/10.1016/j.compgeo.2017.02.017
Liu L, Zhang S, Cheng YM, Liang L (2019) Advanced reliability analysis of slopes in spatially variable soils using multivariate adaptive regression splines. Geosci Front. https://doi.org/10.1016/j.gsf.2018.03.013
Tipping ME (2001) Sparse Bayesian learning and the relevance vector machine. J Mach Learn Res. https://doi.org/10.1162/15324430152748236
Samui P, Lansivaara T, Kim D (2011) Utilization relevance vector machine for slope reliability analysis. Appl Soft Comput J. https://doi.org/10.1016/j.asoc.2011.03.009
Ji J, Zhang C, Gui Y et al (2017) New observations on the application of LS-SVM in slope system reliability analysis. J Comput Civ Eng 31:06016002. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000620
Li S, Zhao H, Ru Z (2017) Relevance vector machine-based response surface for slope reliability analysis. Int J Numer Anal Methods Geomech 41:1332–1346. https://doi.org/10.1002/nag.2683
Himanshu N, Burman A (2017) Seepage and stability analysis of Durgawati earthen dam: a case study. Indian Geotech J. https://doi.org/10.1007/s40098-017-0283-1
Samui P, Dixon B (2012) Application of support vector machine and relevance vector machine to determine evaporative losses in reservoirs. Hydrol Process 26:1361–1369. https://doi.org/10.1002/hyp.8278
Zhao H, Yin S, Ru Z (2012) Relevance vector machine applied to slope stability analysis. Int J Numer Anal Methods Geomech. https://doi.org/10.1002/nag.1037
MacKay DJC (1992) Bayesian interpolation. Neural Comput 4:415–447. https://doi.org/10.1162/neco.1992.4.3.415
Wahba G (1985) A comparison of GCV and GML for choosing the smoothing parameter in the generalized spline smoothing problem. Ann Stat 13:1378–1402. https://doi.org/10.1214/aos/1176349743
Ghosh M, Berger J (1988) Stastical decision theory and bayesian analysis. J Am Stat Assoc 83:266. https://doi.org/10.2307/2288950
Lee IK, White W, Ingles OG (1983) Soil Variability. In: Geotechnical engineering
Harr ME (1987) Reliability-based design in civil engineering. McGraw-Hill, New York
Baecher GB, Christian JT (2003) Reliability and statistics in geotechnical engineering. Wiley, West Sussex
Wang W-C, Chau K-W, Cheng C-T, Qiu L (2009) A comparison of performance of several artificial intelligence methods for forecasting monthly discharge time series. J Hydrol 374:294–306. https://doi.org/10.1016/j.jhydrol.2009.06.019
Nayak PC, Sudheer KP, Rangan DM, Ramasastri KS (2005) Short-term flood forecasting with a neurofuzzy model. Water Resour Res. https://doi.org/10.1029/2004WR003562
Gokceoglu C, Zorlu K (2004) A fuzzy model to predict the uniaxial compressive strength and the modulus of elasticity of a problematic rock. Eng Appl Artif Intell 17:61–72. https://doi.org/10.1016/j.engappai.2003.11.006
Ceryan N, Okkan U, Kesimal A (2013) Prediction of unconfined compressive strength of carbonate rocks using artificial neural networks. Environ Earth Sci 68:807–819. https://doi.org/10.1007/s12665-012-1783-z
Yagiz S, Sezer EA, Gokceoglu C (2012) Artificial neural networks and nonlinear regression techniques to assess the influence of slake durability cycles on the prediction of uniaxial compressive strength and modulus of elasticity for carbonate rocks. Int J Numer Anal Methods Geomech. https://doi.org/10.1002/nag.1066