Math_Project_Taylor_Series

This is the Group research project of Maths and Statistics (LZPMPC004) under the topic of "Taylor Series and Applications in ML".

We mainly discussed what is the Taylor series, why do we use it and its implications in Machine Learning and Deep Learning.

We also implemented in python (jupyter notebook) of Taylor series' applications in function approximation and some machine learning use cases.

Group member

• Hongtao Li (leader)
• Karina Bakhtiyarova

Outline of Report

1. Introduction to Taylor Series
2. Historical Context
3. Importance in Mathematics
4. Theoretical Foundations
5. Applications in Machine Learning
6. Applications in Deep Learning
7. Limitations and Challenges

Contribution

• Hongtao Li
  • Report section 5-7
  • Python Implementation
• Karina Bakhtiyarova
  • Report section 1-4