Mathematical modeling is divided into three large pieces:
Modeling, programming, writing papers
Mathematical modeling has ten models:
① assessment class model
AHP
TOPSIS method (de-merits of distance method)
② interpolation and fitting models
Polynomial interpolation, Hermite interpolation segment interpolation, spline interpolation (one-dimensional), n-dimensional interpolation data (learn)
cftool Toolbox
③ correlation model
The correlation coefficient: Pearson and Spearman person spearman (accompanying explanation: data descriptive statistics)
Canonical Correlation Analysis
④ regression model
Multiple regression analysis
Stepwise regression analysis
Lasso regression and ridge regression
⑤ graph theory
Dijstra Dijkstra
Floyd algorithm
⑥ classification
Binary: Logistic Regression, Fisher category analysis, SVM support vector machine
Multi-Category: Multiple Logistic Regression Model
⑦ cluster model
K-Mean algorithm and K-Means ++ algorithm
DBSCAN clustering algorithm
⑧ Time Series Models
AR, MA, ARMA model
ARCH and GARCH
Time series unit root
⑨ prediction model
Interpolation prediction model
Time Series Prediction
Gray Forecasting Model
BP neural network
⑩ dimension reduction model
SVD Singular Value Decomposition (mainly for image processing)
Principal component analysis
factor analysis