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Mathematical-Modeling-with-Python

This repository contains python codes for mathematical modeling.

Each algorithm/model is described in a Jupyter notebook. It is recommended to download notebooks and view them locally because math formula cannot be rendered correctly on Github.


For now, this repo contains following algorithms/models:

  • 元胞自动机 Cellular Automata
  • 综合评价与决策算法 Comprehensive Evaluation & Decision-Making Method
    • 层次分析法 Analytic Hierarchy Process
    • 数据包络分析 Data Envelopment Analysis
    • 模糊综合评判法 Fuzzy Comprehensive Evaluatino Method
    • 灰色关联分析 Grey Relational Analysis
    • 理想解法 TOPSIS
  • 微分方程 Differential Equation
    • 常微分方程 Ordinary Differential Equation
    • 传染病模型 Epidemic Models
  • 图论 Graph Theory
  • 插值和拟合 Interpolation and Fitting
    • 插值 Interpolation
    • 拟合 Fitting
  • 数学规划 Mathematical Programming
    • 整数规划 Integer Programming
    • 线性规划 Linear Programming
    • 非线性规划 Nonlinear Programming
  • 数理统计 Mathematical Statistics
    • 统计推断 Statistics Inference
    • 方差分析 Analysis of Variance
    • 回归分析 Regression Analysis
  • 现代优化算法 Modern Optimization Algorithms
    • 蚁群算法 Ant Colony Algorithm
    • 遗传算法 Genetic Algorithm
    • 粒子群算法 Particle Swarm Optimization
    • 模拟退火 Simulated Annealing
  • 多元分析 Multivariate Analysis
    • 聚类分析 Cluster Analysis
    • 主成分分析 Principal Component Analysis
    • t-SNE
  • 预测模型 Predict Model
    • 灰色预测模型 Grey Model

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Python codes for mathematical modeling.

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