An introduction to Topological Data Analysis: fundamental and practical aspects for data scientists

TL;DR

This paper introduces Topological Data Analysis (TDA), highlighting its fundamental concepts and practical applications for data scientists, aimed at non-experts to understand how TDA can reveal features in complex data.

Contribution

It provides a concise overview of fundamental and practical aspects of TDA tailored for non-expert data scientists, bridging theory and application.

Findings

TDA offers powerful tools for analyzing complex data structures.

The paper simplifies TDA concepts for non-experts.

TDA has practical relevance in data science applications.

Abstract

Topological Data Analysis is a recent and fast growing field providing a set of new topological and geometric tools to infer relevant features for possibly complex data. This paper is a brief introduction, through a few selected topics, to basic fundamental and practical aspects of \tda\ for non experts.