Research map / Learning theory and algorithms / Matrix and tensor methods
On Mixed Memberships and Symmetric Nonnegative Matrix Factorizations
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use GeoNMF instead of SVI | MMSB inference · Simulated MMSB networks | relative parameter error | Helped |
| Use GeoNMF instead of SVI | MMSB inference · Simulated networks with sparse graphs | relative parameter error | Helped |
| Use GeoNMF instead of SVI | MMSB inference · Simulated networks | wall-clock time: about 100 times slower | Helped |
| Use GeoNMF instead of competing methods | Overlapping community detection · Facebook and G-plus networks | Spearman rank correlation | No clear effect |
| Use GeoNMF instead of competing methods | Overlapping community detection · DBLP co-authorship networks | Spearman rank correlation | Mixed |
| Use GeoNMF instead of competing methods | Overlapping community detection · MAG co-authorship networks | wall-clock time | Helped |
| Increase diagonal interaction skewness (ablation) | GeoNMF · Simulated MMSB networks | relative parameter error | No clear effect |
| Add noise to off-diagonal entries of B (ablation) | GeoNMF · Simulated MMSB networks | relative parameter error | No clear effect |
| Increase community overlap via larger alpha_0 (ablation) | GeoNMF · Simulated MMSB networks | relative parameter error | Hurt |
| Increase community overlap via larger alpha_0 (ablation) | GeoNMF versus SVI · Simulated MMSB networks | relative parameter error | Helped |
| Decrease graph sparsity parameter rho (ablation) | GeoNMF versus SVI · Simulated MMSB networks | relative parameter error | Helped |
| Use sample splitting and cross-partition projection (ablation) | GeoNMF · MMSB parameter recovery | row-wise estimation error | Helped |
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