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首页> 外文期刊>International Journal of Data Science and Analytics >The pattern frequency distribution theory: a mathematic establishment toward rational and reliable pattern mining
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The pattern frequency distribution theory: a mathematic establishment toward rational and reliable pattern mining

机译：The pattern frequency distribution theory: a mathematic establishment toward rational and reliable pattern mining

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Abstract In big data science, the classic frequent pattern mining is fundamental to various pattern mining applications. Extensive research on this mining has been undertaken for nearly 30 years but left with no reliable mining approach. One of the main issues is the lack of study on the imperative pattern frequency distribution theory. With an emphasis on mining reliability and methodological change, this paper makes up the absent theory, which consists of a bundle of findings on the frequency distribution properties. The primary property is that the frequency distribution curves from different pattern generation modes are quasi-concave and ultimately resultant bell-shaped curves over large datasets. All the findings are well-formed with no exogenous input but rigorous mathematical proofs that every classic pattern mining approach should observe. This paper thus builds up a solid block of the theoretical foundation for rational and ultimately reliable pattern mining. Moreover, the findings inspire interesting rethinking and new conceptions not merely in pattern mining but also extended deeply to set theory and combinatorics. With this inspiration plus the pure mathematic nature of the explorations presented, the contributions of this study may not be restricted to pattern mining only but spring to data science in general or even broader.

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