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Jianjun Zhou's Notebook

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Home
Home
Courses
Courses
- Theory of Computation
  Theory of Computation
- Advanced Data Structure and Algorithm
  Advanced Data Structure and Algorithm
  - Homework
  - Final Review
- Object Oriented Programming
  Object Oriented Programming
  - Midterm Review
  - Final Review
- Database System
  Database System
  - Chapter 1-7
  - Chapter 12-19
- Probability Theory
  Probability Theory
- Numerical Methods
  Numerical Methods
  - Numerical Analysis
    
    Numerical Analysis
    
    Mathematical Preliminaries
    
    Solve Equations (1 Variable)
    
    Interpolation & Poly. Approx.
    
    Numerical Diffs & Integs
    
    IVP for ODE
    
    Solve Linear Systems (Directly)
    
    Solve Linear Systems (Iteratively)
    
    Approximation Theory
    
    Approximating Eigenvalues
  - Numerical Algebra
    
    Numerical Algebra
    
    Direct Methods for Linear Systems
    
    Sensitivity & Round-off Error Analysis
    
    Solve Least Square Problems
    
    Classic Iterative Methods for Linear Systems
    
    Conjugate Gradient Method
    
    Solve Asymmetric Eigenvalue Problems
    
    Solve Symmetric Eigenvalue Problems
- Physics (H)
  Physics (H)
- Python Basics
  Python Basics
  - Review
  - Homework
- C Programming
- Information Theory
Math
Math
- Differential Equations
  Differential Equations
  - ODE
    
    ODE
    
    Existence of Solution
    
    ODE System
  - PDE
    
    PDE
    
    Introduction
    
    4 Linear PDEs
  - SDE
    
    SDE
    
    Introduction & Probability
    
    Brownian Motion & "White Noise"
    
    Stochastic Integrals
    
    SDE
    
    Applications
- Probability Theory
- Analysis
  Analysis
  - Funcs of Real Vars
    
    Funcs of Real Vars
    
    Basics of Set Theory
    
    Lebesgue Measure
  - Continuities
Readings
Readings
- Diffusion Models
  Diffusion Models
- ICLR2024
  ICLR2024
  - Singularity of Diffusion
  - Particle Filter + Diffusion
- ICCV2023
  ICCV2023
- Neural Network Basics
  Neural Network Basics
- Miscs
  Miscs
  - Abbrs
  - Metrics

Analysis

Functions of a Real Variables
- Basics of Set Theory
- Lebesgue Measure
- ......
Continuities

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