Fundamentals 3 min read

Explore 20+ Essential Modeling Articles: From Differential Equations to Machine Learning

This curated list groups recent articles on change and predictive models, covering topics such as war dynamics, population, epidemic spread, differential equations, regression, time‑series analysis, machine learning classifiers, and grey‑prediction techniques, providing students with ready references for diverse modeling approaches.

Model Perspective
Model Perspective
Model Perspective
Explore 20+ Essential Modeling Articles: From Differential Equations to Machine Learning

1. Change Models

Model | Change Modeling 01 How to Use Models to Depict War Trends?

Model Change Model 02 Population Model

Model Change Model 03 Epidemic Model

Model Change Model 04 Predator‑Prey Model

Model Change Model 05 Numerical Solutions of Differential Equations

Model Change Model 06 Numerical Solutions of Differential Equations in Python

Model Change Model 07 Numerical Modeling Method – Object Cooling

Model Change Model 08 Numerical Modeling Method – Differential Element Analysis

Model Change Model 10 Difference Equation – Stability of Difference Equations

Model Change Model 11 Difference Equation – Leslie Equation

2. Predictive Models

2.1 Regression Models

Model Predictive Model 01 Linear Regression

Model Predictive Model 02 Non‑linear Fitting

2.2 Time Series

Model Predictive Model 03 Moving Average Method for Time‑Series Analysis

Model Predictive Model 04 Adaptive Filtering in Time‑Series Modeling

2.3 Machine Learning

Model Predictive Model 05 Machine Learning – Basic Concepts of Classification

Model Predictive Model 06 Machine Learning – Regression and Classification

Model Predictive Model 07 Machine Learning – Naïve Bayes Model

Model Predictive Model 08 Support Vector Machine Model

Model Predictive Model 09 Machine Learning – Confusion Matrix

Model Predictive Model 11 Decision Tree Case Study

2.4 Grey Prediction

Model Predictive Model 12 Concept of Grey Prediction Model

Model Predictive Model 13 Grey Prediction Model – GM(1,1) Forecasting Model

More model articles are being added continuously; stay tuned for updates.

Machine Learningmodelingregressiontime seriesmathematical models
Model Perspective
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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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