Explore 70+ Model Articles: From Differential Equations to Deep Learning
This curated list groups recent model articles for students, covering variation models, time‑series prediction, machine‑learning techniques, deep‑learning architectures, and gray‑system forecasting, each with direct links to the original Chinese resources.
To help students locate model articles by category, this page compiles recent model articles covering variation models and prediction models.
1. Variation Models
Model 12 – Differential Equation: Farm Problem
Model 13 – Differential Equation: Weight‑Loss Problem
Model 14 – Differential Equation: Discrete Inhibited Growth Model
Model 15 – Differential Equation: Yeast Growth
Model 16 – Differential Equation: Chromosome Inheritance Model
Model 17 – Differential Equation: Drug Distribution in the Body
Model 18 – Differential Equation: Inter‑species Competition
2. Prediction Models
2.1 Time Series
Model 18 – Concept of Time Series
Model 20 – Exponential Smoothing Method
Model 21 – Seasonal Time Series Forecasting
Model 22 – Stationary Time Series Concept
Model 23 – ARMA
Model 24 – Building ARMA Models
Model 25 – ARMA Forecasting
Model 26 – ARMA Python Solution
Model 27 – Non‑Stationary Time Series
Model 55 – Identification of Stationary Random Time Series
Model 56 – Testing Stationary Random Time Series
Model 58 – Vector Autoregression
Model 59 – Prophet Model (with Python code)
2.2 Machine Learning
Model 28 – Overview of Machine Learning
Model 30 – Machine Learning Process, Types, Applications
Model 31 – Machine Learning Journey
Model 32 – Supervised Learning Example
Model 33 – Support Vector Machine Basics
Model 34 – Generalized Linear SVM
Model 35 – Non‑Linear SVM
Model 36 – Support Vector Regression
Model 37 – SVM Applications
Model 38 – Introduction to Artificial Neural Networks
Model 41 – Ten Key Concepts in Machine Learning
Model 43 – Deep Learning with Keras: Multilayer Perceptron
Model 44 – Deep Learning with Keras Sequential API for Regression
Model 50 – Deep Learning: Convolutional Neural Networks
Model 51 – Deep Learning: Recurrent Neural Networks
Model 65 – Ensemble Learning Overview
Model 66 – AdaBoost Principle
Model 66 – XGBoost Implementation (Python)
Model 67 – LightGBM Implementation (Python)
Model 68 – LSTM Theory and Implementation
Model 69 – Bayesian Personalized Ranking (BPR) Algorithm
Model 69 – LSTM for Air Pollution Prediction
Model 70 – SimRank Collaborative Filtering
Model 70 – Using Sklearn to Impute Missing Values
2.3 Grey Forecasting
Model 12 – Concept of Grey Forecasting
Model 13 – GM(1,1) Grey Model
Model 15 – GM(1,N) Grey Model
Model 16 – GM(1,N) Example (Python code)
Model 17 – GM(2,1) Example (Python code)
More model articles can be found in other posts of this public account.
Model Perspective
Insights, knowledge, and enjoyment from a mathematical modeling researcher and educator. Hosted by Haihua Wang, a modeling instructor and author of "Clever Use of Chat for Mathematical Modeling", "Modeling: The Mathematics of Thinking", "Mathematical Modeling Practice: A Hands‑On Guide to Competitions", and co‑author of "Mathematical Modeling: Teaching Design and Cases".
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