Abstract
Artificial intelligence (AI) and Machine learning (ML) train machines to achieve a high level of cognition and perform human-like analysis. Both AI and ML seemingly fit into our daily lives as well as complex and interdisciplinary fields. With the rise of commercial, open-source, and user-catered AI/ML tools, a key question often arises whenever AI/ML is applied to explore a phenomenon or a scenario: what constitutes a good AI/ML model? Keeping in mind that a proper answer to this question depends on various factors, this work presumes that a goodmodel optimally performs and best describes the phenomenon on hand. From this perspective, identifying proper assessment metrics to evaluate the performance of AI/ML models is not only necessary but is also warranted. As such, this paper examines 78 of the most commonly-used performance fitness and error metrics for regression and classification algorithms, with emphasis on engineering and sciences applications.
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Mahdavi S, Rahnamayan S, Deb K (2018) Opposition based learning: A literature review. Swarm Evol Comput. https://doi.org/10.1016/j.swevo.2017.09.010
Botchkarev A (2019) A new typology design of performance metrics to measure errors in machine learning regression algorithms. Interdiscip J Information Knowledge Manag 14:045–076. https://doi.org/10.28945/4184
Bishop C (2007) Pattern Recognition and Machine Learning. Technometrics. https://doi.org/10.1198/tech.2007.s518
Fu G-S, Levin-Schwartz Y, Lin Q-H, Zhang D (2019) Machine Learning for Medical Imaging. J Healthc Eng. https://doi.org/10.1155/2019/9874591
Michalski, R. S., Carbonell, J. G., & Mitchell TM (1983) Machine learning: An artificial intelligence approach.
Majidifard H, Jahangiri B, Buttlar WG, Alavi AH (2019) New machine learning-based prediction models for fracture energy of asphalt mixtures. Meas J Int Meas Confed. https://doi.org/10.1016/j.measurement.2018.11.081
Hu X, Li SE, Yang Y (2016) Advanced Machine Learning Approach for Lithium-Ion Battery State Estimation in Electric Vehicles. IEEE Trans Transp Electrif. https://doi.org/10.1109/TTE.2015.2512237
Voyant C, Notton G, Kalogirou S, et al (2017) Machine learning methods for solar radiation forecasting: A review. Renew. Energy
Shukla R, Singh D (2017) Experimentation investigation of abrasive water jet machining parameters using Taguchi and Evolutionary optimization techniques. Swarm Evol Comput. https://doi.org/10.1016/j.swevo.2016.07.002
Hindman M (2015) Building Better Models: Prediction, Replication, and Machine Learning in the Social Sciences. Ann Am Acad Pol Soc Sci. https://doi.org/10.1177/0002716215570279
Grimmer J (2014) We are all social scientists now: How big data, machine learning, and causal inference work together. In: PS - Political Science and Politics
Naser M, Chehab A (2018) Materials and design concepts for space-resilient structures. Prog Aerosp Sci 98:74–90. https://doi.org/10.1016/j.paerosci.2018.03.004
Rashno A, Nazari B, Sadri S, Saraee M (2017) Effective pixel classification of Mars images based on ant colony optimization feature selection and extreme learning machine. Neurocomputing. https://doi.org/10.1016/j.neucom.2016.11.030
Jordan MI, Mitchell TM (2015) Machine learning: Trends, perspectives, and prospects. Science 349:255–260. https://doi.org/10.1126/science.aaa8415
Seitllari A (2014) Traffic Flow Simulation by Neuro-Fuzzy Approach. In: Second International Conference on Traffic. Belgrade, pp 97–102
Naser MZ (2019) AI-based cognitive framework for evaluating response of concrete structures in extreme conditions. Eng Appl Artif Intell 81:437–449. https://doi.org/10.1016/J.ENGAPPAI.2019.03.004
Li X, Qiao T, Pang Y et al (2018) A new machine vision real-time detection system for liquid impurities based on dynamic morphological characteristic analysis and machine learning. Meas J Int Meas Confed. https://doi.org/10.1016/j.measurement.2018.04.015
Oleaga I, Pardo C, Zulaika JJ, Bustillo A (2018) A machine-learning based solution for chatter prediction in heavy-duty milling machines. Meas J Int Meas Confed. https://doi.org/10.1016/j.measurement.2018.06.028
Shanmugamani R, Sadique M, Ramamoorthy B (2015) Detection and classification of surface defects of gun barrels using computer vision and machine learning. Meas J Int Meas Confed. https://doi.org/10.1016/j.measurement.2014.10.009
Naser MZ (2019) Properties and material models for common construction materials at elevated temperatures. Constr Build Mater 10:192–206. https://doi.org/10.1016/j.conbuildmat.2019.04.182
Raccuglia P, Elbert KC, Adler PDF et al (2016) Machine-learning-assisted materials discovery using failed experiments. Nature. https://doi.org/10.1038/nature17439
Alavi AH, Hasni H, Lajnef N et al (2016) Damage detection using self-powered wireless sensor data: An evolutionary approach. Meas J Int Meas Confed. https://doi.org/10.1016/j.measurement.2015.12.020
Farrar CR, Worden K (2012) Structural Health Monitoring: A Machine Learning Perspective
Mcfarlane C (2011) The city as a machine for learning. Trans Inst Br Geogr. https://doi.org/10.1111/j.1475-5661.2011.00430.x
Chan J, Chan K, Yeh A (2001) Detecting the nature of change in an urban environment: A comparison of machine learning algorithms. Photogramm. Eng. Remote Sensing
King DE (2009) Dlibml: A Machine Learning Toolkit. J Mach Learn Res
Collobert R, Kavukcuoglu K, Farabet C (2011) Torch7: A Matlab-like Environment for Machine Learning
Hall M, Frank E, Holmes G et al (2009) The WEKA data mining software. ACM SIGKDD Explor Newsl DOI 10(1145/1656274):1656278
Ramsundar B (2016) TensorFlow Tutorial. CS224d
Zaharia M, Franklin MJ, Ghodsi A et al (2016) Apache Spark. Commun ACM. https://doi.org/10.1145/2934664
Korolov M (2018) AI’s biggest risk factor: Data gone wrong | CIO. In: CIO. https://www.cio.com/article/3254693/ais-biggest-risk-factor-data-gone-wrong.html. Accessed 5 Jul 2019
Kodur VKR, Garlock M, Iwankiw N (2012) Structures in Fire: State-of-the-Art, Research and Training Needs. Fire Technol 48:825–839. https://doi.org/10.1007/s10694-011-0247-4
Naser MZ (2019) Fire Resistance Evaluation through Artificial Intelligence - A Case for Timber Structures. Fire Saf J 105:1–18. https://doi.org/10.1016/j.firesaf.2019.02.002
Domingos P (2012) A few useful things to know about machine learning. Commun ACM. https://doi.org/10.1145/2347736.2347755
Shakya AM, Kodur VKR (2015) Response of precast prestressed concrete hollowcore slabs under fire conditions. Eng Struct. https://doi.org/10.1016/j.engstruct.2015.01.018
Kodur VKR, Bhatt PP (2018) A numerical approach for modeling response of fiber reinforced polymer strengthened concrete slabs exposed to fire. Compos Struct 187:226–240. https://doi.org/10.1016/J.COMPSTRUCT.2017.12.051
Kohnke PC (2013) ANSYS. In: © ANSYS, Inc.
Abaqus 6.13 (2013) Abaqus 6.13. Anal User’s Guid Dassault Syst
Franssen JM, Gernay T (2017) Modeling structures in fire with SAFIR®: Theoretical background and capabilities. J Struct Fire Eng. https://doi.org/10.1108/JSFE-07-2016-0010
Golafshani EM, Behnood A (2018) Automatic regression methods for formulation of elastic modulus of recycled aggregate concrete. Appl Soft Comput J. https://doi.org/10.1016/j.asoc.2017.12.030
Sadowski Ł, Nikoo M, Nikoo M (2018) Concrete compressive strength prediction using the imperialist competitive algorithm. Comput Concr. https://doi.org/10.12989/cac.2018.22.4.355
Alavi AH, Gandomi AH, Sahab MG, Gandomi M (2010) Multi expression programming: A new approach to formulation of soil classification. Eng Comput 26:111–118. https://doi.org/10.1007/s00366-009-0140-7
Mirjalili S, Lewis A (2015) Novel performance metrics for robust multi-objective optimization algorithms. Swarm Evol Comput. https://doi.org/10.1016/j.swevo.2014.10.005
Mishra SK, Panda G, Majhi R (2014) A comparative performance assessment of a set of multiobjective algorithms for constrained portfolio assets selection. Swarm Evol Comput. https://doi.org/10.1016/j.swevo.2014.01.001
Schmidt MD, Lipson H (2010) Age-fitness pareto optimization
Cremonesi P, Koren Y, Turrin R (2010) Performance of Recommender Algorithms on Top-N Recommendation Tasks Categories and Subject Descriptors. RecSys
Laszczyk M, Myszkowski PB (2019) Survey of quality measures for multi-objective optimization: Construction of complementary set of multi-objective quality measures. Swarm Evol Comput 48:109–133. https://doi.org/10.1016/J.SWEVO.2019.04.001
Willmott CJ, Matsuura K (2005) Advantages of the mean absolute error (MAE) over the root mean square error (RMSE) in assessing average model performance. Clim Res. https://doi.org/10.3354/cr030079
Makridakis S (1993) Accuracy measures: theoretical and practical concerns. Int J Forecast. https://doi.org/10.1016/0169-2070(93)90079-3
Ferreira C (2001) Gene Expression Programming: a New Adaptive Algorithm for Solving Problems. Ferreira, C (2001) Gene Expr Program a New Adapt Algorithm Solving Probl Complex Syst 13
(2016) Handbook of Time Series Analysis, Signal Processing, and Dynamics
Hyndman RJ, Koehler AB (2006) Another look at measures of forecast accuracy. Int J Forecast. https://doi.org/10.1016/j.ijforecast.2006.03.001
Shcherbakov MV, Brebels A, Shcherbakova NL et al (2013) A survey of forecast error measures. World Appl Sci J. https://doi.org/10.5829/idosi.wasj.2013.24.itmies.80032
Bain LJ (1967) Applied Regression Analysis. Technometrics. https://doi.org/10.1080/00401706.1967.10490452
Armstrong JS, Collopy F (1992) Error measures for generalizing about forecasting methods: Empirical comparisons. Int J Forecast. https://doi.org/10.1016/0169-2070(92)90008-W
Poli AA, Cirillo MC (1993) On the use of the normalized mean square error in evaluating dispersion model performance. Atmos Environ Part A, Gen Top. https://doi.org/10.1016/0960-1686(93)90410-Z
Smith G (1986) Probability and statistics in civil engineering. Collins, London
Golbraikh A, Shen M, Xiao Z et al (2003) Rational selection of training and test sets for the development of validated QSAR models. J Comput Aided Mol Des 17:241–253. https://doi.org/10.1023/A:1025386326946
Roy PP, Roy K (2008) On some aspects of variable selection for partial least squares regression models. QSAR Comb Sci 27:302–313. https://doi.org/10.1002/qsar.200710043
Frank I, Todeschini R (1994) The data analysis handbook
Gandomi AH, Yun GJ, Alavi AH (2013) An evolutionary approach for modeling of shear strength of RC deep beams. Mater Struct Constr. https://doi.org/10.1617/s11527-013-0039-z
Cheng MY, Firdausi PM, Prayogo D (2014) High-performance concrete compressive strength prediction using Genetic Weighted Pyramid Operation Tree (GWPOT). Eng Appl Artif Intell. https://doi.org/10.1016/j.engappai.2013.11.014
Alwanas AAH, Al-Musawi AA, Salih SQ et al (2019) Load-carrying capacity and mode failure simulation of beam-column joint connection: Application of self-tuning machine learning model. Eng Struct. https://doi.org/10.1016/j.engstruct.2019.05.048
Chou JS, Tsai CF, Pham AD, Lu YH (2014) Machine learning in concrete strength simulations: Multi-nation data analytics. Constr Build Mater. https://doi.org/10.1016/j.conbuildmat.2014.09.054
Sadat Hosseini A, Hajikarimi P, Gandomi M et al (2021) Genetic programming to formulate viscoelastic behavior of modified asphalt binder. Constr Build Mater. https://doi.org/10.1016/j.conbuildmat.2021.122954
Nguyen TT, Pham Duy H, Pham Thanh T, Vu HH (2020) Compressive Strength Evaluation of Fiber-Reinforced High-Strength Self-Compacting Concrete with Artificial Intelligence. Adv Civ Eng. https://doi.org/10.1155/2020/3012139
Sultana N, Zakir Hossain SM, Alam MS, et al (2020) Soft computing approaches for comparative prediction of the mechanical properties of jute fiber reinforced concrete. Adv Eng Softw 149:. https://doi.org/10.1016/j.advengsoft.2020.102887
Willmott CJ (1981) On the validation of models. Phys Geogr. https://doi.org/10.1080/02723646.1981.10642213
Nash JE, Sutcliffe JV (1970) River flow forecasting through conceptual models part I - A discussion of principles. J Hydrol. https://doi.org/10.1016/0022-1694(70)90255-6
Gupta HV, Kling H, Yilmaz KK, Martinez GF (2009) Decomposition of the mean squared error and NSE performance criteria: Implications for improving hydrological modelling. J Hydrol. https://doi.org/10.1016/j.jhydrol.2009.08.003
Knoben WJM, Freer JE, Woods RA (2019) Technical note: Inherent benchmark or not? Comparing Nash-Sutcliffe and Kling-Gupta efficiency scores. Hydrol Earth Syst Sci. https://doi.org/10.5194/hess-23-4323-2019
Cheng MY, Chou JS, Roy AFV, Wu YW (2012) High-performance Concrete Compressive Strength Prediction using Time-Weighted Evolutionary Fuzzy Support Vector Machines Inference Model. Autom Constr. https://doi.org/10.1016/j.autcon.2012.07.004
Yaseen ZM, Deo RC, Hilal A et al (2018) Predicting compressive strength of lightweight foamed concrete using extreme learning machine model. Adv Eng Softw. https://doi.org/10.1016/j.advengsoft.2017.09.004
Yang L, Qi C, Lin X et al (2019) Prediction of dynamic increase factor for steel fibre reinforced concrete using a hybrid artificial intelligence model. Eng Struct. https://doi.org/10.1016/j.engstruct.2019.03.105
Qi C, Fourie A, Chen Q (2018) Neural network and particle swarm optimization for predicting the unconfined compressive strength of cemented paste backfill. Constr Build Mater. https://doi.org/10.1016/j.conbuildmat.2017.11.006
Chou J-S, Chiu C-K, Farfoura M, Al-Taharwa I (2010) Optimizing the Prediction Accuracy of Concrete Compressive Strength Based on a Comparison of Data-Mining Techniques. J Comput Civ Eng. https://doi.org/10.1061/(asce)cp.1943-5487.0000088
Deepa C, SathiyaKumari K, Sudha VP (2010) Prediction of the Compressive Strength of High Performance Concrete Mix using Tree Based Modeling. Int J Comput Appl. https://doi.org/10.5120/1076-1406
Erdal HI (2013) Two-level and hybrid ensembles of decision trees for high performance concrete compressive strength prediction. Eng Appl Artif Intell. https://doi.org/10.1016/j.engappai.2013.03.014
Yan K, Shi C (2010) Prediction of elastic modulus of normal and high strength concrete by support vector machine. Constr Build Mater. https://doi.org/10.1016/j.conbuildmat.2010.01.006
Rafiei MH, Khushefati WH, Demirboga R, Adeli H (2017) Supervised Deep Restricted Boltzmann Machine for Estimation of Concrete. ACI Mater J 114:. https://doi.org/10.14359/51689560
Yan K, Xu H, Shen G, Liu P (2013) Prediction of Splitting Tensile Strength from Cylinder Compressive Strength of Concrete by Support Vector Machine. Adv Mater Sci Eng. https://doi.org/10.1155/2013/597257
Anoop Krishnan NM, Mangalathu S, Smedskjaer MM et al (2018) Predicting the dissolution kinetics of silicate glasses using machine learning. J Non Cryst Solids. https://doi.org/10.1016/j.jnoncrysol.2018.02.023
Okuyucu H, Kurt A, Arcaklioglu E (2007) Artificial neural network application to the friction stir welding of aluminum plates. Mater Des. https://doi.org/10.1016/j.matdes.2005.06.003
Lim CH, Yoon YS, Kim JH (2004) Genetic algorithm in mix proportioning of high-performance concrete. Cem Concr Res. https://doi.org/10.1016/j.cemconres.2003.08.018
Haghdadi N, Zarei-Hanzaki A, Khalesian AR, Abedi HR (2013) Artificial neural network modeling to predict the hot deformation behavior of an A356 aluminum alloy. Mater Des. https://doi.org/10.1016/j.matdes.2012.12.082
Golafshani EM, Behnood A (2019) Estimating the optimal mix design of silica fume concrete using biogeography-based programming. Cem Concr Compos 96:95–105. https://doi.org/10.1016/J.CEMCONCOMP.2018.11.005
Naser MZ (2018) Deriving temperature-dependent material models for structural steel through artificial intelligence. Constr Build Mater 191:56–68. https://doi.org/10.1016/J.CONBUILDMAT.2018.09.186
Naser MZ (2019) Properties and material models for modern construction materials at elevated temperatures. Comput Mater Sci 160:16–29. https://doi.org/10.1016/J.COMMATSCI.2018.12.055
Mousavi SM, Aminian P, Gandomi AH et al (2012) A new predictive model for compressive strength of HPC using gene expression programming. Adv Eng Softw. https://doi.org/10.1016/j.advengsoft.2011.09.014
Gandomi AH, Alavi AH, Sahab MG (2010) New formulation for compressive strength of CFRP confined concrete cylinders using linear genetic programming. Mater Struct Constr. https://doi.org/10.1617/s11527-009-9559-y
Mollahasani A, Alavi AH, Gandomi AH (2011) Empirical modeling of plate load test moduli of soil via gene expression programming. Comput Geotech. https://doi.org/10.1016/j.compgeo.2010.11.008
Erdal HI, Karakurt O, Namli E (2013) High performance concrete compressive strength forecasting using ensemble models based on discrete wavelet transform. Eng Appl Artif Intell. https://doi.org/10.1016/j.engappai.2012.10.014
Pang B, Lee L, Vaithyanathan S (2002) Thumbs up? In: Proceedings of the ACL-02 conference on Empirical methods in natural language processing - EMNLP ’02
Galdi P, Tagliaferri R (2017) Data Mining: Accuracy and Error Measures for Classification and Prediction. In: Encyclopedia of Bioinformatics and Computational Biology
Valença J, Gonçalves LMS, Júlio E (2013) Damage assessment on concrete surfaces using multi-spectral image analysis. Constr Build Mater. https://doi.org/10.1016/j.conbuildmat.2012.11.061
Huang H, Burton HV (2019) Classification of in-plane failure modes for reinforced concrete frames with infills using machine learning. J Build Eng. https://doi.org/10.1016/j.jobe.2019.100767
Azimi SM, Britz D, Engstler M et al (2018) Advanced steel microstructural classification by deep learning methods. Sci Rep. https://doi.org/10.1038/s41598-018-20037-5
Hore S, Chatterjee S, Sarkar S, et al (2016) Neural-based prediction of structural failure of multistoried RC buildings. Struct Eng Mech. https://doi.org/10.12989/sem.2016.58.3.459
Bhowan U, Johnston M, Zhang M (2012) Developing new fitness functions in genetic programming for classification with unbalanced data. IEEE Trans Syst Man, Cybern Part B Cybern. https://doi.org/10.1109/TSMCB.2011.2167144
Boughorbel S, Jarray F, El-Anbari M (2017) Optimal classifier for imbalanced data using Matthews Correlation Coefficient metric. PLoS ONE. https://doi.org/10.1371/journal.pone.0177678
Tharwat A (2018) Classification assessment methods. Appl. Comput. Informatics
Caruana R, Niculescu-Mizil A (2004) Data mining in metric space: an empirical analysis of supervised learning performance criteria. In: KDD-2004 - Proceedings of the Tenth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining
Jurman G, Riccadonna S, Furlanello C (2012) A comparison of MCC and CEN error measures in multi-class prediction. PLoS ONE. https://doi.org/10.1371/journal.pone.0041882
Powers DMW (2011) Evaluation: From Precision, Recall and F-Factor to ROC, Informedness, Markedness & Correlation. J Mach Learn Technol. 10.1.1.214.9232
Bradley AP (1997) The use of the area under the ROC curve in the evaluation of machine learning algorithms. Pattern Recognit. https://doi.org/10.1016/S0031-3203(96)00142-2
Hanley JA, McNeil BJ (1982) The meaning and use of the area under a receiver operating characteristic (ROC) curve. Radiology. https://doi.org/10.1148/radiology.143.1.7063747
Zhang Y, Burton HV, Sun H, Shokrabadi M (2018) A machine learning framework for assessing post-earthquake structural safety. Struct Saf. https://doi.org/10.1016/j.strusafe.2017.12.001
Davis J, Goadrich M (2006) The relationship between Precision-Recall and ROC curves. In: Proceedings of the 23rd international conference on Machine learning - ICML ’06
Bi, J.; Bennett KPP (2003) Regression Error Characteristic Curves. Proc Twent Int Conf Mach Learn
Zhang M, Smart W (2006) Using Gaussian distribution to construct fitness functions in genetic programming for multiclass object classification. Pattern Recognit Lett. https://doi.org/10.1016/j.patrec.2005.07.024
Kocher M, Savoy J (2017) Distance measures in author profiling. Inf Process Manag. https://doi.org/10.1016/j.ipm.2017.04.004
Patel BV (2012) Content Based Video Retrieval Systems. Int J UbiComp. https://doi.org/10.5121/iju.2012.3202
Giusti R, Batista GEAPA (2013) An empirical comparison of dissimilarity measures for time series classification. In: Proceedings - 2013 Brazilian Conference on Intelligent Systems, BRACIS 2013
Vuk M, Curk T (2006) ROC Curve , Lift Chart and Calibration Plot. Metod Zv
Brodersen KH, Ong CS, Stephan KE, Buhmann JM (2010) The balanced accuracy and its posterior distribution. In: Proceedings - International Conference on Pattern Recognition
Cohen J (1960) A Coefficient of Agreement for Nominal Scales. Educ Psychol Meas. https://doi.org/10.1177/001316446002000104
Artstein R, Poesio M (2008) Inter-coder agreement for computational linguistics. Comput. Linguist.
Destercke S (2014) Multilabel Prediction with Probability Sets: The Hamming Loss Case. In: Communications in Computer and Information Science
Czajkowski M, Kretowski M (2019) Decision Tree Underfitting in Mining of Gene Expression Data. An Evolutionary Multi-Test Tree Approach. Expert Syst Appl. https://doi.org/10.1016/J.ESWA.2019.07.019
Devarriya D, Gulati C, Mansharamani V, et al (2019) Unbalanced Breast Cancer Data Classification Using Novel Fitness Functions in Genetic Programming. Expert Syst Appl 112866. https://doi.org/10.1016/J.ESWA.2019.112866
Bhaskar H, Hoyle DC, Singh S (2006) Machine learning in bioinformatics: A brief survey and recommendations for practitioners. Comput Biol Med. https://doi.org/10.1016/j.compbiomed.2005.09.002
Kohavi R (1995) A study of cross-validation and bootstrap for accuracy estimation and model selection. Proc 14th Int Jt Conf Artif Intell - Vol 2
Alavi AH, Gandomi AH (2011) Prediction of principal ground-motion parameters using a hybrid method coupling artificial neural networks and simulated annealing. Comput Struct. https://doi.org/10.1016/j.compstruc.2011.08.019
Kingston GB, Maier HR, Lambert MF (2005) Calibration and validation of neural networks to ensure physically plausible hydrological modeling. J Hydrol. https://doi.org/10.1016/j.jhydrol.2005.03.013
Kuo YL, Jaksa MB, Lyamin AV, Kaggwa WS (2009) ANN-based model for predicting the bearing capacity of strip footing on multi-layered cohesive soil. Comput Geotech. https://doi.org/10.1016/j.compgeo.2008.07.002
Caruana R, Niculescu-Mizil A (2006) An empirical comparison of supervised learning algorithms. In: ACM International Conference Proceeding Series. ACM Press, New York, USA, pp 161–168
Williams N, Zander S, Armitage G (2006) A preliminary performance comparison of five machine learning algorithms for practical IP traffic flow classification. Comput Commun Rev. https://doi.org/10.1145/1163593.s1163596
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Naser, M.Z., Alavi, A.H. Error Metrics and Performance Fitness Indicators for Artificial Intelligence and Machine Learning in Engineering and Sciences. Archit. Struct. Constr. 3, 499–517 (2023). https://doi.org/10.1007/s44150-021-00015-8
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DOI: https://doi.org/10.1007/s44150-021-00015-8