Skip to main content
Log in

Re-evaluation of machine learning models for predicting ultimate bearing capacity of piles through SHAP and Joint Shapley methods

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

This study examines the prediction of the load-bearing capacity of closed and open-ended piles using machine learning (ML) methods. Full-scale load test results and CPT data are used to gather two comprehensive databases for such piles. ML models are developed employing input features associated with pile geometry and CPT resistances along with the ultimate bearing capacity being the only output feature. Following the training/testing sequences, the interpretability of ML predictions is examined through the Shapley and Joint Shapley value methods. Shapley values for multiple feature combinations allow ML models to decide the number of features necessary to make the most accurate predictions. Using updated input features, the models are rebuilt and predictions are repeated with the new input feature set; hence, the re-evaluation of ML models is focused on at this point. These features are twofold: One has two geometric features attributed to piles: cross-section area and length, and the other is a single feature attributed to soil, the average CPT tip resistance, which are overall sufficient in predicting the load capacity of both closed and open-ended piles. To the best of our knowledge, this study is one of the pioneers of its kind for pile foundations. The results show that the predictions of ML methods aided with strong interpretability techniques prove to be necessary in providing accurate results. As a result, Shapley is determined to be a useful tool for other geotechnical engineering applications as well.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

Data availability

The datasets generated during and/or analyzed during the current study are not publicly available due to the reason that proper permissions must be obtained from TUBITAK owning the data, which is funding this study. Upon such permission, the data will be available from the corresponding author upon reasonable request.

References

  1. Alkroosh I, Nikraz H (2011) Correlation of pile axial capacity and CPT data using gene expression programming. Geotech Geol Eng 29(5):725–748. https://doi.org/10.1007/s10706-011-9413-1

    Article  Google Scholar 

  2. Alkroosh I, Nikraz H (2012) Predicting axial capacity of driven piles in cohesive soils using intelligent computing. Eng Appl Artif Intell 25(3):618–627. https://doi.org/10.1016/j.engappai.2011.08.009

    Article  Google Scholar 

  3. Alkroosh IS, Bahadori M, Nikraz H, Bahadori A (2015) Regressive approach for predicting bearing capacity of bored piles from cone penetration test data. J Rock Mech Geotech Eng 7(5):214. https://doi.org/10.1016/j.jrmge.2015.06.011

    Article  Google Scholar 

  4. Altinok E (2021) Data-driven modeling of ultimate load capacity of closedand open-ended piles using machine learning. Master’s thesis, Istanbul Technical University, Turkey

  5. Ardalan H, Eslami A, Nariman-Zadeh N (2009) Piles shaft capacity from CPT and CPTu data by polynomial neural networks and genetic algorithms. Comput Geotech 36(4):616–625. https://doi.org/10.1016/j.compgeo.2008.09.003

    Article  Google Scholar 

  6. Armaghani D, Shoib RSNSBR, Faizi K, Rashid ASA (2017) Developing a hybrid PSO–ANN model for estimating the ultimate bearing capacity of rock-socketed piles. Neural Comput Appl 28(2):391–405. https://doi.org/10.1007/s00521-015-2072

    Article  Google Scholar 

  7. Asghari V, Leung AY, Hsu MS (2020) Deep neural networks for prediction of undrained shear strength of clays. https://doi.org/10.3850/978-981-11-2725-0-ms2-4-cd

  8. Breiman L (2001) Random forests. Mach Lear. https://doi.org/10.1023/A:1010933404324

    Article  Google Scholar 

  9. Chakraborty D, Awolusi I, Gutierrez L (2021) An explainable machine learning model to predict and elucidate the compressive behavior of high-performance concrete. Res Eng. https://doi.org/10.1016/j.rineng.2021.100245

    Article  Google Scholar 

  10. Chen W, Sarir P, Bui XN, Nguyen H, Tahir MM, Jahed Armaghani D (2020) Neuro-genetic, neuro-imperialism and genetic programing models in predicting ultimate bearing capacity of pile. Eng Comput. https://doi.org/10.1007/s00366-019-00752-x

    Article  Google Scholar 

  11. Ebrahimian B, Movahed V (2017) Application of an evolutionary-based approach in evaluating pile bearing capacity using CPT results. Ships Offshore Struct 12(7):214. https://doi.org/10.1080/17445302.2015.1116243

    Article  Google Scholar 

  12. Friedman JH (1999), Greedy function approximation: a gradient boosting machine. Technical Report, Department of Statistics, Stanford University.

  13. Ghorbani B, Sadrossadat E, Bolouri Bazaz J, Rahimzadeh Oskooei P (2018) Numerical ANFIS-based formulation for prediction of the ultimate axial load bearing capacity of piles through CPT data. Geotech Geol Eng 36(4):245. https://doi.org/10.1007/s10706-018-0445-7

    Article  Google Scholar 

  14. Harandizadeh H, Jahed Armaghani D, Khari M (2021) A new development of ANFIS–GMDH optimized by PSO to predict pile bearing capacity based on experimental datasets. Eng Comput 37:685–700. https://doi.org/10.1007/s00366-019-00849-3

    Article  Google Scholar 

  15. Harris C, Pymar R, Rowat C (2022). Joint shapley values: a measure of joint feature importance. https://doi.org/10.48550/arXiv.2107.11357

  16. Kannangara KKPM, Zhou W, Ding Z, Hng Z (2022) Investigation of feature contribution to shield tunneling-induced settlement using Shapley additive explanations method. J Rock Mech Geotech Eng. https://doi.org/10.1016/J.JRMGE.2022.01.002

    Article  Google Scholar 

  17. Kardani N, Zhou A, Nazem M, Shen SL (2020) Estimation of bearing capacity of piles in cohesionless soil using optimised machine learning approaches. Geotech Geol Eng 38(2):254. https://doi.org/10.1007/s10706-019-01085-8

    Article  Google Scholar 

  18. Ke G, Meng Q, Finley T, Wang T, Chen W, Ma W, Liu TY (2017) LightGBM: a highly efficient gradient boosting decision tree. Advances in Neural Information Processing Systems içinde.

  19. Kiefa MAA (1998) General regression neural networks for driven piles in cohesionless soils. J Geotech Geoenviron Eng 124(12):1177–1185. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:12(1177)

    Article  Google Scholar 

  20. Kordjazi A, Pooya Nejad F, Jaksa MB (2014) Prediction of ultimate axial load-carrying capacity of piles using a support vector machine based on CPT data. Comput Geotech 55:91–102. https://doi.org/10.1016/j.compgeo.2013.08.001

    Article  Google Scholar 

  21. Lee B-S (2021) A study of machine learning models to estimate a pile load capacity. J Korea Academia-Industrial Coop Soc 22(10):21. https://doi.org/10.5762/kais.2021.22.10.268

    Article  Google Scholar 

  22. Lee IM, Lee JH (1996) Prediction of pile bearing capacity using artificial neural networks. Comput Geotech 18(3):189–200. https://doi.org/10.1016/0266-352X(95)00027-8

    Article  Google Scholar 

  23. Liang M, Chang Z, Wan Z, Gan Y, Schlangen E, Šavija B (2022) Interpretable ensemble-machine-learning models for predicting creep behavior of concrete. Cement Concrete Compos. https://doi.org/10.1016/j.cemconcomp.2021.104295

    Article  Google Scholar 

  24. Lundberg SM, Lee SI (2017) A unified approach to interpreting model predictions. Adv Neural Inform Process Syst. https://doi.org/10.48550/arXiv.1705.07874

    Article  Google Scholar 

  25. Luo Z, Hasanipanah M, Bakhshandeh Amnieh H, Brindhadevi K, Tahir MM (2021) GA-SVR: a novel hybrid data-driven model to simulate vertical load capacity of driven piles. Eng Comput. https://doi.org/10.1007/s00366-019-00858-2

    Article  Google Scholar 

  26. Nasiri H, Homafar A, Chelgani SC (2021) Prediction of uniaxial compressive strength and modulus of elasticity for Travertine samples using an explainable artificial intelligence. Res Geophys Sci. https://doi.org/10.1016/j.ringps.2021.100034

    Article  Google Scholar 

  27. Nguyen T-A, Ly H-B, Jaafari A, Pham TB (2020) Estimation of friction capacity of driven piles in clay using artificial neural network. Vietnam J Earth Sci 42(3):265–275. https://doi.org/10.15625/0866-7187/42/3/15182

    Article  Google Scholar 

  28. Pal M, Deswal S (2010) Modelling pile capacity using Gaussian process regression. Comput Geotech. https://doi.org/10.1016/j.compgeo.2010.07.012

    Article  Google Scholar 

  29. Pham TA, Tran VQ, Vu HLT, Ly HB (2020) Design deep neural network architecture using a genetic algorithm for estimation of pile bearing capacity. PLoS ONE. https://doi.org/10.1371/journal.pone.0243030

    Article  Google Scholar 

  30. Prokhorenkova L, Gusev G, Vorobev A, Dorogush AV, ve Gulin A (2018) Catboost: unbiased boosting with categorical features. Advances in Neural Information Processing Systems içinde (C. 2018-December). https://doi.org/10.48550/arXiv.1706.09516

  31. Sakib M, Inan K, Rahman I (2022) Integration of explainable artificial intelligence to identify significant landslide causal factors for extreme gradient boosting based landslide susceptibility mapping with improved feature selection. https://doi.org/10.48550/arXiv.2201.03225

  32. Samui P (2008) Support vector machine applied to settlement of shallow foundations on cohesionless soils. Comput Geotech. https://doi.org/10.1016/j.compgeo.2007.06.014

    Article  Google Scholar 

  33. Schalck C, Yankol-Schalck M (2021) Predicting French SME failures: new evidence from machine learning techniques. Appl Econ. https://doi.org/10.1080/00036846.2021.1934389

    Article  Google Scholar 

  34. Shahin MA (2013) Artificial intelligence in geotechnical engineering. Metaheuristics in Water, Geotechnical and Transport Engineering içinde (ss. 169–204). Elsevier. https://doi.org/10.1016/B978-0-12-398296-4.00008-8

  35. Teh CI, Wong KS, Goh ATC, Jaritngam S (1997) Prediction of pile capacity using neural networks. J Comput Civ Eng 11(2):129–138. https://doi.org/10.1061/(ASCE)0887-3801(1997)11:2(129)

    Article  Google Scholar 

  36. Wang L, Wu J, Zhang W, Wang L, ve Cui, W. (2021) efficient seismic stability analysis of embankment slopes subjected to water level changes using gradient boosting algorithms. Front Earth Sci. https://doi.org/10.3389/feart.2021.807317

    Article  Google Scholar 

Download references

Acknowledgements

Authors would like to acknowledge the financial support of Scientific and Technological Council of Turkey (TÜBİTAK) through the research project with number 121M736.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. B. C. Ülker.

Ethics declarations

Conflict of interest

Authors have no known conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Karakaş, S., Taşkın, G. & Ülker, M.B.C. Re-evaluation of machine learning models for predicting ultimate bearing capacity of piles through SHAP and Joint Shapley methods. Neural Comput & Applic 36, 697–715 (2024). https://doi.org/10.1007/s00521-023-09053-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-023-09053-3

Keywords

Navigation