Abstract
Surrogate modeling is playing an increasingly important role in multidisciplinary design optimization (MDO) related to different areas of aerospace science and engineering, Support vector regression (SVR), due to its good behavior related to numerical noise filtering and highly nonlinear function modeling, is promising as an alternative modeling method. However, SVR is time-consuming for high dimension large-scale samples problem. Since Twin support vector regression (TSVR) method shows faster modeling speed, this work aims to evaluate the modeling abilities by numerical examples, and introduce the TSVR method into aerodynamic designs to explore its potential in the aerospace science. Through series of numerical examples, including low-dimensional numerical examples, high-dimensional numerical examples and numerical examples with noises, it is shown that TSVR takes much less time for modeling while kee** high modeling accuracy. Then, taking RAE2822 airfoil as an example, TSVR and SVR is compared, in which TSVR still shows higher modeling efficiency and accuracy. It’s preliminarily proven of the TSVR has great potential in aerodynamic design.
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References
Alade (2020) Modeling the viscosity of nanofluids using artificial neural network and Bayesian support vector regression. J Appl Phys
Chen Y, Liao Y, Baowen H, Guochang S, Hu Ya han, Z, Yuan (2020) A novel model for electromagnetic properties of complex microstructure composites based on support vector regression. IEEE MTT-S international conference on numerical electromagnetic and multiphysics modeling and optimization
Drucker H, Burgers CJC, Kaufmann LSA, Vapnik V (1996) Support vector regression machines, advances in neural information processing systems 779–784
Gao C, Shen MG, Liu XP et al (2019) End-point static control of basic oxygen furnace steelmaking based on wavelet transform weighted twin support vector regression. Complexity J 1–6
Gunn SR (2000) Support vector machine for classification and regression. Technical Report, image speech and intelligent systems research group, University of Southhampton, UK
Houssein EH (2019) Particle swarm optimization-enhanced twin support vector regression for wind speed forecasting. J Intell Syst J 28(5):905–914
Hua Juan H, Shi Fei D (2013) Primal least squares twin support vector regression. Zhejiang Univ-Sci C (Comput & Electron) J 14(9):722–732
Jayadeva twin support vector machines for pattern classification. IEEE Trans Pattern Anal Mach Intell 29(5):905–910
Ke Shi Z, Zhong Hua H (2013) Support vector regression-based multidisciplinary design optimization in aircraft conceptual design. AIAA 1160
Li Y, Shuai W, Weng **ang C, Wei H (2020) Holistic comparison of different kernel functions for support vector regression based on state-of-health prediction of lithium-ion battery. Proceedings—11th international conference on prognostics and system health management, 40–46
Peng X (2015) Interval twin support vector regression algorithm for interval input-output data. Int J Mach Learn Cyber 6:719–732
Peng X (2010) TSVR: an effificient twin support vector machine for regression. Neural Netw 23:365–372
Peng X (2010) Primal twin support vector regression and its sparse approximation. Neurocomputing 73:2846–2858
Vapnik V, Golowich SE, A Smola (1996) Support vector method for function approximation, regression estimation, and signal processing. Adv Neural Inform Process Syst, 281–287
Vapnik V (1995) The nature of statistical learning theory springer, New York
Yanmeng L, Huaijiang S (2020) Multi-output parameter-insensitive kernel twin SVR model. Neural Netw 121:276–293
Ye YF, Bai L, Hua XY et al (2016) Weighted Lagrange ε-twin support vector regression. Neurocomputing J 197:53–68
Yi tian X (2012) A weighted twin support vector regression, Knowledge-Based Systems 33:92–101
Yuan H (2013) An ε-twin support vector machine for regression. Neural Comput Appl 23:175–185
Acknowledgements
The research was sponsored by the Aeronautical Science Foundation(2019ZA053004) and the Natural Science Funding of Shan’** Province(2020JM-127).
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Lu, PX., Zhang, KS., Wang, PH. (2023). Twin Support Vector Regression and Its Application on Aerodynamic Design. In: Lee, S., Han, C., Choi, JY., Kim, S., Kim, J.H. (eds) The Proceedings of the 2021 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2021), Volume 1. APISAT 2021. Lecture Notes in Electrical Engineering, vol 912. Springer, Singapore. https://doi.org/10.1007/978-981-19-2689-1_45
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DOI: https://doi.org/10.1007/978-981-19-2689-1_45
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