The Cosine Drainage Theorem: A Rank-One Proof and a Cross-Family Conjecture for Embedded Non-Regular Graphs
Abstract
Contact: michael.godat@gmail.com. Cosine-similarity-biased traversal of high-dimensional embedded graphs systematically fails to reach graph-reachable targets. This paper proves the Rank-One Cosine Drainage Theorem under the Chung-Lu model. Multi-Anchor expansion outperforms single-source cosine in all 15 evaluated graph families. GitHub: github.com/mjgodat/cosine-drainage-theorem
Fields of Study & Subjects
Advanced Graph Neural Networks
Bayesian Modeling and Causal Inference
Genome Rearrangement Algorithms
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 September 2026
- Language
- EN