Without powerful analytical tools, people will not be able to uncover the wealth of information hidden behind the data. In order to strip the information from the massive data, it is urgent to find a reasonable solution to deal with the challenge of information overload, and to develop an intelligent and automated alternative tool. Data mining technology transforms the original data into a form suitable for operation by integrating and learning data, extracting useful data for mining, and applying various strategies of data mining to generate useful patterns and rules. Based on this, people can make predictions on new sample data and obtain information. This paper analyzes and describes the problems faced by the inheritance of Chinese folk painting art, including the lack of knowledge of the inheritors, the single inheritance content, and the crisis of the inheritance method. In view of the problems faced by the inheritance of folk painting art, this paper proposes to inherit Chinese folk painting art from the aspects of value edification, rich content, and multiple forms. We analyze the different inheritance methods of contemporary national cultural inheritance and point out that different inheritance views have a certain influence on the formulation of cultural inheritance and the choice of inheritance methods. The preprocessing part of the original data is improved before the training on the data starts. By normalizing the order of magnitude of the original data, the values of the data are all in the same order of magnitude. Taking the least mean square algorithm and the BP neural network classification algorithm as the basic algorithm idea, using the rules of batch learning, and adding the momentum term factor, an improved batch learning BP algorithm is designed. The experimental results show that the improved batch learning BP algorithm can better solve the classification problem. Chinese folk painting art can satisfy people's spiritual and material needs, and also has a positive effect on promoting people's physical and mental development.
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