Diffusion Geometry

A Quarto Reveal.js example deck

Iolo Jones

2025-02-01

Why diffusion geometry?

  • Geometric quantities are meaningful but difficult to estimate directly from data.
  • Local methods can become fragile under noise and uneven sampling.
  • Diffusion operators offer a robust route to global and local structure.

A motivating picture

Diffusion geometry illustration

What we estimate

  • intrinsic dimension
  • tangent spaces
  • curvature
  • robustly
  • from finite samples
  • without delicate parameter tuning

Workflow for this site

  1. Put the deck in talks/slides/<slug>.qmd
  2. Add a talk page under talks/
  3. Link the talk page from talks/index.qmd

Thanks

Slides on the web are useful when you want one stable URL for a talk, a linked paper, and any interactive material that belongs with it.