Log-PCA versus Geodesic PCA of histograms in the Wasserstein space

• Main Authors: Cazelles, Elsa, Seguy, Vivien, Bigot, Jérémie, Cuturi, Marco, Papadakis, Nicolas
• Format: Journal Article
• Language: English
• Published: 27.08.2017
• Subjects: Statistics - Methodology

This paper is concerned by the statistical analysis of data sets whose elements are random histograms. For the purpose of learning principal modes of variation from such data, we consider the issue of computing the PCA of histograms with respect to the 2-Wasserstein distance between probability meas...