Topology, Geometry and Data Seminar - Patrizio Frosini

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Patrizio Frosini
April 4, 2017
4:00PM - 5:00PM
Location
Cockins Hall 240

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Add to Calendar 2017-04-04 16:00:00 2017-04-04 17:00:00 Topology, Geometry and Data Seminar - Patrizio Frosini Title: A theoretical framework for topological data analysis.Speaker: Patrizio Frosini (University of Bolohna)Abstract: In this talk we illustrate a possible metric approach to TDA that is based on a mathematical formalization of the concept of observer, seen as a collection of suitable operators acting on a metric space of functions. These functions represent the set of data that are accessible to the observer, while the operators describe the way the observer elaborates the data and enclose the invariance that he/she associates with them. We expose this model and show how it can benefit from the use of group-invariant persistent topology.Seminar URL: http://www.tgda.osu.edu Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public
Description

Title: A theoretical framework for topological data analysis.

SpeakerPatrizio Frosini (University of Bolohna)

Abstract: In this talk we illustrate a possible metric approach to TDA that is based on a mathematical formalization of the concept of observer, seen as a collection of suitable operators acting on a metric space of functions. These functions represent the set of data that are accessible to the observer, while the operators describe the way the observer elaborates the data and enclose the invariance that he/she associates with them. We expose this model and show how it can benefit from the use of group-invariant persistent topology.

Seminar URLhttp://www.tgda.osu.edu

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