Hyperbolic Dimensionality Reduction via Horospherical Projections
HoroPCA This code is the official PyTorch implementation of the ICML 2021 paper: HoroPCA: Hyperbolic Dimensionality Reduction via Horospherical ProjectionsInes Chami*, Albert Gu*, Dat Nguyen*, Christopher RéStanford UniversityPaper: https://arxiv.org/abs/2106.03306 Abstract. This paper studies Principal Component Analysis (PCA) for data lying in hyperbolic spaces. Given directions, PCA relies on: (1) a parameterization of subspaces spanned by these directions, (2) a method of projection onto subspaces that preserves information in these directions, and (3) an objective to optimize, namely the variance explained […]
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