2018
DOI: 10.1080/1064119x.2018.1443355
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GMDH-GEP to predict free span expansion rates below pipelines under waves

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Cited by 76 publications
(33 citation statements)
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“…Clearly, a tree of polynomials is developed by utilizing the quadratic type provided in Eq. (20) whose coefficients are achieved by the least-square method (Najafzadeh et al ., 2013; Najafzadeh and Saberi-Movahed, 2019). The coefficients of each quadratic function G i are obtained for an optimum fitting for that output associated with the total pairs of input–output data sets based on minimizing Eq.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Clearly, a tree of polynomials is developed by utilizing the quadratic type provided in Eq. (20) whose coefficients are achieved by the least-square method (Najafzadeh et al ., 2013; Najafzadeh and Saberi-Movahed, 2019). The coefficients of each quadratic function G i are obtained for an optimum fitting for that output associated with the total pairs of input–output data sets based on minimizing Eq.…”
Section: Methodsmentioning
confidence: 99%
“…(20) for all range of M data set triples. It is observed that this process is repeated for every neuron of any succeeding hidden layer as outlined by the interconnection topology in this network (Najafzadeh and Tafarojnoruz, 2016; Najafzadeh et al ., 2018; Najafzadeh and Saberi-Movahed, 2019).…”
Section: Methodsmentioning
confidence: 99%
“…The laboratory studies indicated that the scour rates rely on wave properties, physical properties of materials (such as soil (sandy or clay), erosive materials, Water 2020, 12, 902 9 of 20 and the size of bed materials), and the PL geometry (PL arrangement). The following equations are used to define the relationship between scour propagation and effective parameters [34]:…”
Section: Datasetsmentioning
confidence: 99%
“…The following equations have been proposed for the estimation of scour rates. They use the least square method to estimate scour rates [34].…”
Section: Comparison Analysismentioning
confidence: 99%
“…In recent years, with the application of machine learning in various fields of science and engineering [6][7][8][9][10][11], many researchers use data-driven methods to solve geological problems. Some intelligent systems [2,12,13] have been used to improve the prediction and accuracy of sonic wave velocity prediction when sonic logs have been lost due to poor storage, poor logging, failure of logging instruments, and bad hole conditions.…”
Section: Introductionmentioning
confidence: 99%