Research map / Optimization / Nonconvex and smooth optimization
Riemannian Adaptive Optimization Methods
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use Riemannian Adam (Radam) instead of RSGD | WordNet taxonomy embedding in the Poincaré ball · WordNet reconstruction and link prediction | training loss | Helped |
| Use Radam instead of RSGD | WordNet taxonomy embedding with exponential-map updates · WordNet reconstruction and link prediction | MAP | Helped |
| Use Radam instead of RSGD | WordNet taxonomy embedding with retraction updates · WordNet reconstruction and link prediction | training loss | Helped |
| Use Radam instead of RSGD | WordNet taxonomy embedding with retraction updates · WordNet reconstruction and link prediction | MAP | No clear effect |
| Use Ramsgrad instead of Radam | WordNet taxonomy embedding with retraction updates · WordNet link prediction | MAP convergence | Helped |
| Use retraction updates instead of exponential-map updates (ablation) | RSGD and the proposed adaptive methods · WordNet taxonomy embedding | training loss | Helped |
| Use Radagrad | WordNet taxonomy embedding · WordNet reconstruction and link prediction | overall performance | Hurt |
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