Optimizing Gaussian process regression (GPR) hyperparameters with three metaheuristic algorithms for viscosity prediction of suspensions containing microencapsulated PCMs

Affiliations
  • 1Key Laboratory of Advanced Manufacturing Technology, Ministry of Education, Guizhou University, Guiyang, 550025, China.
  • 2School of Computer and Information, Qiannan Normal University for Nationalities, Duyun, 558000, Guizhou, China.
  • 3Faculty of Data Science and Information Technology, INTI International University, 71800, Nilai, Malaysia.
  • 4Artificial Intelligence Research Center (AIRC), Ajman University, P.O. Box 346, Ajman, UAE.
  • 5Faculty of Engineering, Warith Al-Anbiyaa University, Karbala, 56001, Iraq.
  • 6Department of Civil Engineering, College of Engineering, Cihan University-Erbil, Erbil, Iraq.
  • 7Institute of Engineering and Technology, GLA University, Mathura, U.P., 281406, India.
  • 8Department of Petroleum Engineering, Al-Amarah University College, Maysan, Iraq.
  • 9College of Engineering, Mechanical Engineering Department, Alasala University, King Fahad Bin Abdulaziz Rd., Amanah, P.O.Box: 12666, 31483, Dammam, Kingdom of Saudi Arabia.
  • 10Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam, 31441, Eastern Province, Kingdom of Saudi Arabia.
  • 11Institute for Big Data Analytics and Artificial Intelligence (IBDAAI), Universiti Teknologi MARA, 40450, Shah Alam, Selangor, Malaysia.
  • 12School of Electrical Engineering, College of Engineering, Universiti Teknologi MARA, 40450, Shah Alam, Selangor, Malaysia.
  • 13Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran. hamid_maleki_2010@yahoo.com.

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Abstract

Suspensions containing microencapsulated phase change materials (MPCMs) play a crucial role in thermal energy storage (TES) systems and have applications in building materials, textiles, and cooling systems. This study focuses on accurately predicting the dynamic viscosity, a critical thermophysical property, of suspensions containing MPCMs and MXene particles using Gaussian process regression (GPR). Twelve hyperparameters (HPs) of GPR are analyzed separately and classified into three groups based on their importance. Three metaheuristic algorithms, namely genetic algorithm (GA), particle swarm optimization (PSO), and marine predators algorithm (MPA), are employed to optimize HPs. Optimizing the four most significant hyperparameters (covariance function, basis function, standardization, and sigma) within the first group using any of the three metaheuristic algorithms resulted in excellent outcomes. All algorithms achieved a reasonable R-value (0.9983), demonstrating their effectiveness in this context. The second group explored the impact of including additional, moderate-significant HPs, such as the fit method, predict method and optimizer. While the resulting models showed some improvement over the first group, the PSO-based model within this group exhibited the most noteworthy enhancement, achieving a higher R-value (0.99834). Finally, the third group was analyzed to examine the potential interactions between all twelve HPs. This comprehensive approach, employing the GA, yielded an optimized GPR model with the highest level of target compliance, reflected by an impressive R-value of 0.999224. The developed models are a cost-effective and efficient solution to reduce laboratory costs for various systems, from TES to thermal management.