Research map / Learning theory and algorithms / Matrix and tensor methods
Normalized Spectral Map Synchronization
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use normalized spectral synchronization (NormSpecSync) instead of SDP | permutation synchronization · Synthetic n=200, m=10 | recovery success / runtime | No clear effect |
| Use NormSpecSync instead of SDP | permutation synchronization · CMU Hotel/House and SCAPE | runtime: SDP 1002.4 s vs NormSpecSync 3.4 s on Gsparse | Helped |
| Normalize the data matrix (degree-normalized blocks) versus unnormalized SpecSync (ablation) | irregular observation graphs · Synthetic irregular-degree graphs | noise tolerance (recovery) | Helped |
| Normalize the data matrix versus SpecSync on sparse observation graphs (ablation) | real datasets (CMU, SCAPE) · CMU-G-Sparse and SCAPE-G-Sparse | correspondence accuracy | Helped |
| Use NormSpecSync instead of DiffSync | permutation synchronization · Synthetic graphs | noise tolerance | Helped |
| Use NormSpecSync instead of DiffSync | permutation synchronization · CMU and SCAPE real datasets | correspondence accuracy | Helped |
| Denser observation graph (more edges) | NormSpecSync · Synthetic Erdos-Renyi graphs | noise tolerance (recovery success) | Helped |
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