beta-diversity and Graph Sheaf Laplacians

arXiv:2601.17466 · q-bio.PE · Submitted 2026-01-24 · Read on arXiv

q-bio.PE

Submitted: 2026-01-24

Updated: 2026-09-16

Terminology

• Trace — 6× in this paper · explained in 2 episodes
• Hypergraph — 3× in this paper · explained in 2 episodes
• Adjacency Matrix — 1× in this paper · explained in 1 episode
• Computational Biology — 1× in this paper · explained in 2 episodes
• alpha — 1× in this paper · explained in 1 episode

Sources

• Sheaf theory: from deep geometry to deep learning
• Sheaves of Probability
• Sheaf Hypergraph Networks
• Combinatorial Hodge Theory in Simplicial Signal Processing -- DAFx2023 Lecture Notes
• Cellular Sheaves of Lattices and the Tarski Laplacian

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