1 citations · 3 across the 5 of their papers we have counts for
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stat.ML2020
Balancing Geometry and Density: Path Distances on High-Dimensional Data
Anna Little, Daniel McKenzie, James Murphy
New geometric and computational analyses of power-weighted shortest-path distances (PWSPDs) are presented. By illuminating the way these metrics balance density and geometry in the…
stat.ML2020
Diffusion State Distances: Multitemporal Analysis, Fast Algorithms, and Applications to Biological Networks
Lenore Cowen, Kapil Devkota, Xiaozhe Hu +2
Data-dependent metrics are powerful tools for learning the underlying structure of high-dimensional data. This article develops and analyzes a data-dependent metric known as diffus…
stat.ML2018
Learning by Unsupervised Nonlinear Diffusion
Mauro Maggioni, James M. Murphy
This paper proposes and analyzes a novel clustering algorithm that combines graph-based diffusion geometry with techniques based on density and mode estimation. The proposed method…