Theory#

Mathematical foundations and reference material for SPD Learn.

Start here

Background

  • Data representations (EEG/fMRI covariances)
  • Minimal geometry & metric choices
  • SPDNet pipeline overview
~10 min Read
Core math

Geometric Concepts

  • SPD manifold & Riemannian metrics
  • Exp/Log maps, parallel transport
  • Layer operation visualizations
~20 min Read
Practical

Numerical Stability

  • Dtype-aware thresholds & clamping
  • Configuration for stability
  • Troubleshooting NaN & convergence
~8 min Read
Reference

Notation

  • Manifold symbols (𝒮⁺, Sym, T_P)
  • Distance & metric conventions
  • Layer operation symbols
~3 min Read
Reference

Glossary

  • SPD matrices & Riemannian terms
  • Layer & module definitions
  • Model architecture names
Quick lookup Read
Reference

References

  • Interactive literature map
  • Model family legend
  • Full bibliography & BibTeX
95 papers Read

See also