Probing the Geometry of Data with Diffusion Fréchet Functions

no code implementations • 16 May 2016 • Diego Hernán Díaz Martínez, Christine H. Lee, Peter T. Kim, Washington Mio

Many complex ecosystems, such as those formed by multiple microbial taxa, involve intricate interactions amongst various sub-communities.

The Shape of Data and Probability Measures

1 code implementation • 15 Sep 2015 • Diego Hernán Díaz Martínez, Facundo Mémoli, Washington Mio

We introduce the notion of multiscale covariance tensor fields (CTF) associated with Euclidean random variables as a gateway to the shape of their distributions.

Clustering