Principal Component Analysis in Space Forms

1 code implementation • 6 Jan 2023 • Puoya Tabaghi, Michael Khanzadeh, Yusu Wang, Sivash Mirarab

Finding a low-dimensional Riemannian affine subspace for a set of points in a space form amounts to dimensionality reduction because, as we show, any such affine subspace is isometric to a space form of the same dimension and curvature.

Dimensionality Reduction