Functional Data Analysis in Python

Target audience: Advanced

Estimated reading time: 7'

Posts history

Newsletter: Geometric Learning in Python        

In the realms of healthcare and IT monitoring, I encountered the challenge of managing multiple data points across various variables, features, or observations. Functional data analysis (FDA) is well-suited for addressing this issue. 

This article explores how the Hilbert sphere can be used to conduct FDA in non-linear spaces.

Introduction

Functional data analysis

        Observation data types

        FDA methods

        Formal notation

Hilbert sphere

Implementation

        Manifold structure

        Inner product

        Exponential map

        Logarithm map

References

What you will learn: Basic concepts of functional data analysis in non-linear spaces through the use of manifolds, along with a hands-on application of Hilbert space using Geomstats in Python.