Diffusion Geometry Notebooks

These notebooks give an introduction to diffusion geometry methods using theDiffusionGeometry package.

0. Introduction

An introduction to the Diffusion Geometry package.

1. Functions

Functions represent signals on the data.

2. Vector Fields

Vector fields represent flows along the data.

3. Differential Forms

Differential forms measure areas and topology.

4. Riemannian Metric and Global Inner Product

Metrics and global inner products measure the interaction of these different tensors.

5. Differential Operators

Differential operators measure the variation of tensor data.

6. Connection Laplacian

As an example, we find eigenfields of the connection Laplacian.

7. Introduction to Manifold Diffusion Geometry

Introduction to manifold diffusion geometry.