Combined with the experience of mathematical model training and competition, some successful applications of multiple regression analysis, principal component analysis and artificial neural network in data mining can be adopted. Taking the national mathematical modeling competition for college students as an example, this paper discusses the application and importance of data processing software Excel, Spss and Matlab in mathematical modeling.

When it is necessary to analyze and study a practical problem from a quantitative point of view, people should use mathematical symbols and language to establish a mathematical model on the basis of in-depth investigation, understanding of object information, making simplified assumptions and analyzing internal laws.

Extended data

modeling process

1, model preparation

Understand the actual background of the problem, clarify its practical significance, and master all kinds of information of the object. The essence of the problem is contained in mathematical thought and runs through the whole process of the problem, and then the problem is described in mathematical language. Requirements in line with mathematical theory, in line with mathematical habits, clear and accurate.

2. Model assumptions

According to the characteristics of the actual object and the purpose of modeling, the problem is simplified with accurate language and some appropriate assumptions are put forward.

3. Model structure

On the basis of assumptions, use appropriate mathematical tools to describe the mathematical relationship between variables and constants, and establish the corresponding mathematical structure (try to use simple mathematical tools).

4, model solving

Using the obtained data, all parameters of the model are calculated (or approximately calculated).

5. Model analysis

The idea of establishing the model is expounded, and the results are analyzed mathematically.

6. Model test

The model analysis results are compared with the actual situation to verify the accuracy, rationality and applicability of the model. If the model is in good agreement with the actual situation, the practical significance of the calculation results should be given and explained. If the model is not consistent with the actual situation, it is necessary to modify the assumptions and repeat the modeling process.

7. Application and popularization of the model

The application mode varies with the nature of the problem and the purpose of modeling. The promotion of the model is to consider the model more comprehensively on the basis of the existing model and establish a more realistic model.

Baidu Encyclopedia-Mathematical Modeling