2020
Nov
26

# Colloquium: Barak Sober (Duke) — Estimation of Manifolds from Point Clouds: Building Models from Data

2:30pm to 3:30pm

A common observation in data-driven applications is that data has a low intrinsic dimension, at least locally.

Thus, when one wishes to work with data that is not governed by a clear set of equations, but still wishes to perform statistical or other scientific analysis, an optional model is the assumption of an underlying manifold from which the data was sampled.

This manifold, however, is not given explicitly but we can obtain samples of it (i.e., the individual data points).