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Predicting the Settlement of Shallow Foundation Using Metaheuristic SVR Approaches

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Abstract

Because cohesive soil structure is so complicated, settlement modelling is, in some ways, essential. The goal of this study is to identify settlement (\(S_{m}\)) of shallow foundations using newly developed machine learning methods, such as hybridized support vector regression (\(SVR\)) with sine–cosine algorithm (\(SCA\)) and Bat-inspired algorithm (\(BAT\)). Footing width, pressure, geometry, number of standard penetration tests, and footing embedment ratio are among the estimated variables. The application of optimization methods served the objective of identifying the optimal value for the primary variables of the researched model. The SCASVR is thought to be the best framework with the highest classification when compared to BATSVR and ANFISPSO. During the process of learning, the values of \(R^{2}\) and \(MAE\) are 0.9629 and 1.5354, which is preferable to ANFISPSO by 0.9025 and 4.92, and 0.9823 and 1.3787 in the evaluating portion, which is superior to ANFISPSO at 0.739 and 9.88. By looking at \(PI\) indicator, the SCASVR network does better than the BATSVR in both the education and evaluating datasets. The SCASVR model dropped 0.0262 and 0.0435 points in the education and evaluating data sets, respectively. Likewise, the \(A_{10 - index}\) index exhibits a similar tendency. In conclusion, after analyzing the accuracy and taking into account the definitions, it is completely obvious that the \(SVR\) combined with \(SCA\) can work better than \(BAT\), as well as by literature, that could be referred to as the proposed system in the forecasting model of \(S_{m}.\)

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Data Availability

Enquiries about data availability should be directed to the authors.

Abbreviations

PLT:

Plate load test

PMT:

Pressure-meter test

DMT:

Dilatometer test

\(SVR\) :

Support vector regression

\(BAT\) :

Bat-inspired algorithm

\(ANFIS\) :

Adaptive neuro fuzzy inference system

\({S}_{m}\) :

Settlement

\(MAE\) :

Mean absolute error

\({R}^{2}\) :

Coefficient of determination

SPT:

Standard penetration test

CPT:

Cone penetration test

VST:

Vane shear test

\(SCA\) :

Sine–cosine algorithm

\(PSO\) :

Particle swarm optimization

AI:

Artificial intelligence

\(PI\) :

Performance index

\(\mathrm{PCC}\) :

Pearson correlation coefficient

ANN:

Artificial Neural Network

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Wan, X. Predicting the Settlement of Shallow Foundation Using Metaheuristic SVR Approaches. Geotech Geol Eng 41, 4795–4805 (2023). https://doi.org/10.1007/s10706-023-02547-w

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