Some math projects

Sample code of my blogs and assignments. I write blogs mainly about optimization and robotics. Feel free to check them out, and I hope you find them helpful!

Table of Contents

• Some math projects
  • 💻 Blogs
    • 🤖 Robotics
    • 💽 Other projects
  • 🏫 Courses
    • 📚 Numerical Analysis (Fall 2020), National Taiwan Normal University.
    • 📚 Linear Programming (Fall 2020), National Taiwan Normal University.
    • 📚 Matrix Computation (Fall 2023), National Taiwan Normal University.
    • 📚 Regression Analysis (Fall 2023), National Taiwan Normal University.
    • 📚 Scientific Computation (Spring 2024), National Taiwan Normal University.
    • 📚 Convex Analysis (Fall 2024), National Taiwan Normal University.

💻 Blogs

🤖 Robotics

• Point cloud registration
• Pose graph optimization
• Riemannian and Lie theory comparison

💽 Other projects

These projects are actually not blogs, but I don't know where to put them.

• Visual odometry
• Lidar Odometry and Mapping (LOAM)

🏫 Courses

📚 Numerical Analysis (Fall 2020), National Taiwan Normal University.

• root finding method (Newton, bisection, fix-point)
• Gaussian elimination

📚 Linear Programming (Fall 2020), National Taiwan Normal University.

• simplex method

📚 Matrix Computation (Fall 2023), National Taiwan Normal University.

• power method
• Krylov method (Arnoldi, Lanczos, ...)
• CG method (precondition, generalized, ...)

📚 Regression Analysis (Fall 2023), National Taiwan Normal University.

• simple linear regression
• general linear regression

📚 Scientific Computation (Spring 2024), National Taiwan Normal University.

• machine learning (PCA, Kmeans, SVM)
• matrix factorization (SVD, alternating least squares)
• page rank
• ADMM

📚 Convex Analysis (Fall 2024), National Taiwan Normal University.

• Homogenizaion technique