The Topological Field Theory of Data: a program towards a novel strategy for data mining through data language

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

Rasetti, M.^1 ; Merelli, E.^2

ISI Foundation, Via Alassio 11-C, Torino

10126, Italy^1

School of Science and Technology, University of Camerino, Via del Bastione 1, Camerino

62032, Italy^2

关键词: Data analytics;    Data space;    Emerging patterns;    Field theory;    Innovative methodologies;    Novel strategies;    Theoretical framework;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012005/pdf
DOI  :  10.1088/1742-6596/626/1/012005

学科分类：力学，机械学

来源: IOP

【 摘 要 】

This paper aims to challenge the current thinking in IT for the 'Big Data' question, proposing - almost verbatim, with no formulas - a program aiming to construct an innovative methodology to perform data analytics in a way that returns an automaton as a recognizer of the data language: a Field Theory of Data. We suggest to build, directly out of probing data space, a theoretical framework enabling us to extract the manifold hidden relations (patterns) that exist among data, as correlations depending on the semantics generated by the mining context. The program, that is grounded in the recent innovative ways of integrating data into a topological setting, proposes the realization of a Topological Field Theory of Data, transferring and generalizing to the space of data notions inspired by physical (topological) field theories and harnesses the theory of formal languages to define the potential semantics necessary to understand the emerging patterns.