Finding optimal hyperparameters of feedforward neural networks for solving 2D Laplace's equation using a genetic algorithm
2
Issued Date
2024
Copyright Date
2021
Resource Type
Language
eng
File Type
application/pdf
No. of Pages/File Size
xv, 121 leaves: ill.
Access Rights
open access
Rights
ผลงานนี้เป็นลิขสิทธิ์ของมหาวิทยาลัยมหิดล ขอสงวนไว้สำหรับเพื่อการศึกษาเท่านั้น ต้องอ้างอิงแหล่งที่มา ห้ามดัดแปลงเนื้อหา และห้ามนำไปใช้เพื่อการค้า
Rights Holder(s)
Mahidol University
Bibliographic Citation
Thesis (M.Sc. (Physics))--Mahidol University, 2021
Suggested Citation
Chaloemrat Boonthanawat Finding optimal hyperparameters of feedforward neural networks for solving 2D Laplace's equation using a genetic algorithm. Thesis (M.Sc. (Physics))--Mahidol University, 2021. Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/99498
Title
Finding optimal hyperparameters of feedforward neural networks for solving 2D Laplace's equation using a genetic algorithm
Author(s)
Advisor(s)
Abstract
In this work, feedforward neural networks were used to solve 2D Laplace's equation on rectangular and irregular domains. Optimal values of weights and biases of a network were recursively computed during the network training by minimizing a cost function using data at collocation points to approximate the true solution. The performance of the network largely depends on network architecture and model capability. In this work, an optimal set of hyperparameters was searched on various measures of relative errors. The genetic algorithm was used to find the optimal activation function, optimization algorithm, and weight initialization. In addition, it also searched for the optimal number of hidden layers when the total number of parameters is fixed. The optimal total number of parameters for a specific number of hidden layers was also searched. Numerical results showed that an optimal set of hyperparameters that are consistent across many values of relative errors could be successfully obtained.
Description
Physics (Mahidol University 2021)
Degree Name
Master of Science
Degree Level
Master's degree
Degree Department
Faculty of Science
Degree Discipline
Physics
Degree Grantor(s)
Mahidol University