Prediction of Slope Stability using Naive Bayes Classifier

다국어 초록 (Multilingual Abstract)

Slope stability prediction is of primary concern in identifying terrain that is susceptible to landslides and mitigating the damages caused by landslides. In this study, a Naive Bayes Classifier (NBC) was employed to predict slope stability for a slope subjected to circular failures, based on six input factors: slope height (H), slope angle (α), cohesion (c), friction angle (φ), unit weight (γ), and pore pressure ratio (ru). An expectation maximization algorithm was used to perform parameter learning for the NBC with an incomplete data set of 69 slope cases. The model validation with 13 new cases shows that, when compared to the existing empirical approach, the proposed NBC model yields better performance in terms of both accuracy and applicability (i.e., the NBC allows us to determine the probability of slope stability based on any subset of the six input factors).

참고문헌 (Reference)

1 Erzin, Y., "The prediction of the critical factor of safety of homogeneous finite slopes using neural networks and multiple regressions" 51 : 305-313, 2013

2 Zhang, H., "The optimality of naive bayes" 562-567, 2004

3 Tran, C., "The idea of PGA stream computations for soil slope stability evaluation" 338 (338): 499-509, 2010

4 Kalatehjari, R., "The effects of method of generating circular slip surfaces on determining the critical slip surface by particle swarm optimization" 7 (7): 1529-1539, 2014

5 Hall, M., "The WEKA data mining software: An update" 11 (11): 10-18, 2009

6 Wu, X., "The Top Ten algorithms in data mining" CRC Press 163-175, 2009

7 Song, Y., "Susceptibility assessment of earthquake-induced landslides using Bayesian network: A case study in Beichuan, China" 42 : 189-199, 2012

8 Zhou, K., "Stability prediction of tailing dam slope based on neural network pattern recognition" IEEE 380-383, 2009

9 Madzic, E., "Stability of unstable final slope in deep open iron mine" 455-458, 1988

10 Bye, A., "Stability assessment and slope design at Sandsloot open pit, South Africa" 38 (38): 449-466, 2001

11 Verma, D., "Stability analysis of an open cut slope in Wardha valley coal field" 81 (81): 804-812, 2013

12 Wang, H., "Slope stability evaluation using back propagation neural networks" 80 (80): 302-315, 2005

13 Samui, P., "Slope stability analysis: A support vector machine approach" 56 (56): 255-267, 2008

14 Michalowski, R., "Slope stability analysis: A kinematical approach" 45 (45): 283-293, 1995

15 Suman, S., "Slope stability analysis using artificial intelligence techniques" 84 (84): 727-748, 2016

16 Dawson, E. M., "Slope stability analysis by strength reduction" 49 (49): 835-840, 1999

17 Griffiths, D., "Slope stability analysis by finite elements" 49 (49): 387-403, 1999

18 Xu, W., "Slope stability analysis and evaluation with probabilistic artificial neural network method" 3 : 19-21, 1999

19 Zhao, H.-b., "Slope reliability analysis using a support vector machine" 35 (35): 459-467, 2008

20 Shirzadi, A., "Shallow landslide susceptibility assessment using a novel hybrid intelligence approach" 76 (76): 1-18, 2017

21 Hoek, E., "Rock Slope Engineering (3rd edition)" Institution of Mining and Metallurgy 226-247, 1981

22 Choobbasti, A., "Prediction of slope stability using artificial neural network (case study: Noabad, Mazandaran, Iran)" 2 (2): 311-319, 2009

23 Xue, X., "Prediction of slope stability based on Hybrid PSO and LSSVM" 31 (31): 1-10, 2017

24 Gordan, B., "Prediction of seismic slope stability through combination of particle swarm optimization and neural network" 32 (32): 85-97, 2016

25 Feng, X., "Predicting tunnel squeezing with incomplete data using Bayesian networks" 195 : 214-224, 2015

26 Li, N., "Predicting rock burst hazard with incomplete data using Bayesian networks" 61 : 61-70, 2017

27 Domingos, P., "On the optimality of the simple bayesian classifier under Zero-One loss" 29 (29): 103-130, 1997

28 Cai, F., "Numerical analysis of rainfall effects on slope stability" 4 (4): 69-78, 2004

29 Norsys Software Corporation, "Netica Application User's Guide" 70-75, 1998

30 Sah, N., "Maximum likelihood estimation of slope stability" 31 (31): 47-53, 1994

31 Chen, W.-F., "Limit Analysis and Soil Plasticity" Developments in Geotechnical Engineering, Elsevier Scientific Publishing Co. 47-156, 1975

32 Pham, B. T., "Landslide susceptibility assesssment in the Uttarakhand area (India) using GIS: A comparison study of prediction capability of naive bayes, multilayer perceptron neural networks, and functional trees methods" 128 (128): 255-273, 2015

33 Bui, D. T., "Landslide susceptibility assessment in vietnam using support vector machines, decision tree, and naive bayes models" 2012 : 1-26, 2012

34 Ting, S. L., "Is naive bayes a good classifier for document classification?" 5 (5): 37-46, 2011

35 Zhang, N. L., "Introduction to Bayesian Networks" Science Press 160-166, 2006

36 Feng, X., "Introduction of Intelligent Rock Mechanics" Science Press 239-241, 2000

37 Thiebes, B., "Integration of a limit-equilibrium model into a landslide early warning system" 11 (11): 859-875, 2014

38 Hand, D. J., "Idiot's Bayes-not so stupid after all?" 69 (69): 385-398, 2001

39 Hoang, N.-D., "Hybrid artificial intelligence approach based on metaheuristic and machine learning for slope stability assessment: A multinational data analysis" 46 : 60-68, 2016

40 Chen, W., "GIS-based landslide susceptibility modelling: A comparative assessment of kernel logistic regression, Naive-Bayes tree, and alternating decision tree models" 1-24, 2017

41 Alimohammadlou, Y., "Estimation of rainfall-induced landslides using ANN and fuzzy clustering methods: A case study in Saeen Slope, Azerbaijan province, Iran" 120 : 149-162, 2014

42 Stead, D., "Developments in the characterization of complex rock slope deformation and failure using numerical modelling techniques" 83 (83): 217-235, 2006

43 Ferentinou, M. D., "Computational intelligence tools for the prediction of slope performance" 34 (34): 362-384, 2007

44 Tsangaratos, P., "Comparison of a logistic regression and Naive Bayes classifier in landslide susceptibility assessments: The influence of models complexity and training dataset size" 145 : 164-179, 2016

45 Kontkanen, P., "Comparing predictive inference methods for discrete domains" 311-318, 1997

46 Li, X., "Comparative studies of artificial neural networks and adaptive Neuro-Fuzzy inference system based approach for the circular sliding slopes stability analysis" University of South China 2004

47 Das, S. K., "Classification of slopes and prediction of factor of safety using differential evolution neural networks" 64 (64): 201-210, 2011

48 Huang, Z., "Chaotic neural network method for slope stability prediction" 22 : 015-, 2004

49 Friedman, N., "Bayesian network classifiers" 29 (29): 131-163, 1997

50 Jensen, F. V., "Bayesian Networks and Decision Graphs (2nd ed.)" Springer 201-207, 2007

51 Korb, K. B., "Bayesian Artificial Intelligence" CRC Press 180-185, 2004

52 Yan, X., "Bayes discriminant analysis method for predicting the stability of open pit slope" 147-150, 2011

53 Taheri, A., "Assessment of the stability of rock slopes by the slope stability rating classification system" 43 (43): 321-333, 2010

54 Lu, P., "Artificial neural networks and grey systems for the prediction of slope stability" 30 (30): 383-398, 2003

55 Bhargavi, P., "Applying naive bayes data mining technique for classification of agricultural land soils" 9 (9): 117-122, 2009

56 Li, X., "Application of GA-SVM method with parameter optimization for landslide development prediction" 14 (14): 525-533, 2014

57 Lenchman, J. B., "Analysis of the progression of failure of the earth slopes by finite elements" ASCE 250-265, 2000

58 Lin, P. S., "An investigation on the failure of a building constructed on hillslope" 445-449, 1988

59 Liu, Z., "An extreme learning machine approach for slope stability evaluation and prediction" 73 (73): 787-804, 2014

60 Uusitalo, L., "Advantages and challenges of Bayesian networks in environmental modelling" 203 (203): 312-318, 2007

61 Sakellariou, M., "A study of slope stability prediction using neural networks" 23 (23): 419-445, 2005

62 Verma, A., "A hybrid FEM-ANN approach for slope instability prediction" 97 (97): 171-180, 2016

63 Rukhaiyar, S., "A PSO-ANN hybrid model for predicting factor of safety of slope" 1-11, 2017