Application
application/molecular-sciences
Molecular, biomolecular, and drug-discovery analysis.
Notes
- Persistent Spectral Graph The founding persistent-Laplacian paper: harmonic spectra recover persistent homology exactly, and non-harmonic spectra carry the geometry it discards. Paper
- Persistent Topological Laplacians A Laplacian family built along a filtration; its zero eigenvalues are persistent homology, and the rest are the geometry persistence throws away. Method
- PETLS A C++ library with Python bindings for building persistent topological Laplacians and computing their matrices and spectra. Package
- TDA and TDL in Molecular Sciences Wee and Jiang's account of how molecular problems pushed topology from description to conditioned, learnable representations. Paper
- Topological Deep Learning Learn the readout instead of hand-picking it — topological structure as input to a model, or as the domain the model operates on. Method