LightConeFM: Unconstrained Lorentz Embeddings for Collaborative Filtering
Kübra Karacan Uyar
2026 6th International Conference on Electrical, Computer and Energy Technologies (ICECET), 1–7 (IEEE)
Özet +−
Hyperbolic embedding methods for collaborative filtering constrain all representations to the hyperboloid manifold, imposing a single geometry regardless of data characteristics. We introduce LightConeFM, which removes this constraint and allows embeddings to freely occupy any causal region of Lorentz-Minkowski space — timelike, lightlike, or spacelike — using only standard gradient descent without Riemannian optimization. Experiments on four real-world datasets reveal two consistent findings: unconstrained embeddings outperform their constrained counterparts on every dataset (up to +7.0% AUC), and the learned causal zone distribution predicts where hyperbolic geometry provides benefit over Euclidean alternatives.
- işbirlikçi filtreleme
- Lorentz gömme
- hiperbolik geometri