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Data mining is a particular data analysis technique that focuses on statistical modeling and knowledge discovery for predictive rather than purely descriptive purposes, while business intelligence covers data analysis that relies heavily on aggregation, focusing mainly on business information. [4]
Exploratory data analysis is an analysis technique to analyze and investigate the data set and summarize the main characteristics of the dataset. Main advantage of EDA is providing the data visualization of data after conducting the analysis.
Topological data analysis (TDA) is a mathematical framework that uses tools from topology, including algebraic, differential, and geometric topology, to study the shape and structure of data. In summary, data analysis and data science are distinct yet interconnected disciplines within the broader field of data management, analysis, and mathematics.
Data analysis focuses on the process of examining past data through business understanding, data understanding, data preparation, modeling and evaluation, and deployment. [8] It is a subset of data analytics, which takes multiple data analysis processes to focus on why an event happened and what may happen in the future based on the previous data.
A secondary analysis of the data from a planned study uses tools from data analysis, and the process of doing this is mathematical statistics. Data analysis is divided into: descriptive statistics – the part of statistics that describes data, i.e. summarises the data and their typical properties.
Topological data analysis and persistent homology have had impacts on Morse theory. [149] Morse theory has played a very important role in the theory of TDA, including on computation. Some work in persistent homology has extended results about Morse functions to tame functions or, even to continuous functions [ citation needed ] .
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