Abstract

This study builds a predictive model capable of estimating the critical temperature of a superconductor from experimentally determined physico-chemical properties of the material (input variables): features extracted from the thermal conductivity, atomic radius, valence, electron affinity and atomic mass. This original model is built using a novel hybrid algorithm relied on the multivariate adaptive regression splines (MARS) technique in combination with a nature-inspired meta-heuristic optimization algorithm termed the whale optimization algorithm (WOA) that mimics the social behavior of humpback whales. Additionally, the Ridge, Lasso and Elastic-net regression models were fitted to the same experimental data for comparison purposes. The results of the current investigation indicate that the critical temperature of a superconductor can be successfully predicted using this proposed hybrid WOA/MARS-based model. Furthermore, the results obtained with the Ridge, Lasso and Elastic-net regression models are clearly worse than those obtained with the WOA/MARS-based model.

Highlights

  • Superconducting materials have significant practical applications [1,2,3,4]

  • This original model is built using a novel hybrid algorithm relied on the multivariate adaptive regression splines (MARS) technique in combination with a nature-inspired meta-heuristic optimization algorithm termed the whale optimization algorithm (WOA) that mimics the social behavior of humpback whales

  • The results obtained with the Ridge, Least absolute shrinkage and selection operator (Lasso) and Elastic-net regression models are clearly worse than those obtained with the WOA/ MARS-based model

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Summary

Introduction

Superconducting materials (materials that conduct current with zero resistance) have significant practical applications [1,2,3,4]. Previous research has indicated that MARS is a very effective tool for use in a large number of real applications, including soil erosion susceptibility prediction [36], rapid chloride permeability prediction of self-compacting concrete [37], evaluation of the earthquake induced uplift displacement of tunnels [38], estimation of hourly global solar radiation [39], atypical algal proliferation modeling in a reservoir [40], pressure drop estimation produced by different filtering media in microirrigation sand filters [41], assessing frost heave susceptibility of gravelly soils [42] and so on It has never been used for evaluating superconducting critical temperature Tc from the input physico-chemical parameters in most types of superconductors. This paper is structured as follows: Sect. 2 contains the experimental arrangement, all the variables included in this research and MARS, Ridge, Lasso, and Elastic-net methodologies; Sect. 3 presents the findings acquired with this novel technique by collating the MARS results with the observed values as well as the significance ranking of the input variables, and Sect. 4 concludes this study by providing an inventory of principal results of the research

Dataset
Approach accuracy
Analysis of results and discussion
Significance of variables
Conclusion
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