A new topological transform, the Morse Transform, has been developed to numerically describe the geometry of objects for statistical inference and classification tasks. This method leverages Morse theory to catalog critical points across multiple height-functions, retaining finer shape information than existing transforms. The Morse feature vector has been benchmarked as a descriptor for ligand-based virtual screening, achieving the highest mean AUROC compared to other topological and standard shape-based descriptors. AI
RANK_REASON Academic paper detailing a new mathematical transform for shape analysis. [lever_c_demoted from research: ic=1 ai=0.4]
- Alexander Tanaka
- alphaXiv
- arXiv
- Auroc
- CatalyzeX
- DagsHub
- Euler Characteristic Transform
- Gotit.pub
- gradient-boosted tree classification
- Hugging Face
- Ligand-Based Virtual Screening
- Morse theory
- Morse Transform
- Quantitative Biology
- ScienceCast
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