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Showing posts with label Hilbert. Show all posts
Showing posts with label Hilbert. Show all posts

Sunday, April 7, 2024

Functional Data Analysis in Python

Target audience: Advanced
Estimated reading time: 7'

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.



        FDA methods
        Formal notation
        Manifold structure
        Inner product
        Exponential map
        Logarithm map
References


What you will learnBasic 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.