Phase 01: 数学基础
本阶段包含 22 课时。
原始课程来源:AI Engineering from Scratch (MIT License)
- Linear Algebra Intuition
- Vectors, Matrices & Operations
- Matrix Transformations
- Calculus for Machine Learning
- Chain Rule & Automatic Differentiation
- Probability and Distributions
- Bayes' Theorem
- Optimization
- Information Theory
- Dimensionality Reduction
- Singular Value Decomposition
- Tensor Operations
- Numerical Stability
- Norms and Distances
- Statistics for Machine Learning
- Sampling Methods
- Linear Systems
- Convex Optimization
- Complex Numbers for AI
- The Fourier Transform
- Graph Theory for Machine Learning
- Stochastic Processes