Research map / Graph learning / Graph algorithms and clustering
Separate but Equal: Equality in Belief Propagation for Single Cycle Graphs
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add small random unary costs as tie-breakers | Min-sum on single-cycle graphs that oscillate · Single cycle | belief equality | No clear effect |
| Add small random unary costs as tie-breakers | Min-sum on single-cycle graphs that oscillate · Single cycle | assignment equality | No clear effect |
| Use random unary costs | Min-sum on non-convergent single-cycle instances · Single cycle, 3–5 variables and domain sizes 2–5 | cases with assignment equality: 96; 98; 96; 97; 96; 96; 81; 94; 99; 84; 92; 96 | Mixed |
| Increase cycle size | Min-sum with random unary costs · Single cycle, domain sizes 2–5 | instances generated until 100 non-convergent cases: 2240; 5297; 10000+ | Hurt |
| Increase domain size | Min-sum with random unary costs · Single cycle, 3–5 variables | instances generated until 100 non-convergent cases: 2240; 837; 734; 414 | Helped |
| Use random unary costs | Min-sum on acyclic graphs · Acyclic graphs | belief equality | Helped |
Closest papers by meaning
- Beyond Trees: Analysis and Convergence of Belief Propagation in Graphs with Multiple Cycles (AAAI 2020 · similarity 0.93)
- Min-Max Propagation (NeurIPS 2017 · similarity 0.87)
- Truthful Mechanisms for Steiner Tree Problems (AAAI 2023 · similarity 0.85)
- Paths, Proofs, and Perfection: Developing a Human-Interpretable Proof System for Constrained Shortest Paths (AAAI 2024 · similarity 0.85)
- Bayesian Optimization of Functions over Node Subsets in Graphs (NeurIPS 2024 · similarity 0.85)
- Low Degree Hardness for Broadcasting on Trees (NeurIPS 2024 · similarity 0.83)
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