Research map / Learning theory and algorithms / Submodular and game algorithms
Joint M-Best-Diverse Labelings as a Parametric Submodular Minimization
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace sequential DivMBest with parametric (Joint-DivMBest-equivalent) solver computing M labelings via closed-form gamma values | M-best diverse labelings with Hamming diversity · Interactive segmentation (super-pixel, PASCAL VOC 2010 subset) | runtime (ms): e.g. 11.6 -> 4.3 ms at M=6; 15.4 -> 6.2 ms at M=10 | Helped |
| Replace DivMBest with the exact parametric solver | M-best diverse labelings · Interactive segmentation (super-pixel) | quality (per-pixel accuracy): 93.16 -> 95.13 at M=2; 95.02 -> 96.01 at M=6 | Helped |
| Use parametric solver instead of Joint-DivMBest (exact solver of Kirillov/Batra-style joint energy) | Joint M-best diverse labelings · Interactive segmentation (super-pixel) | runtime (ms): 80.3 -> 8.4 ms at M=10 (sequential); 5.5 -> 2.2 ms at M=2 | Helped |
| Parallel vs sequential parametric solver (ablation) | Parametric M-best solver · Foreground/background segmentation (VOC 2012) | runtime: Parametric-parallel clear winner over Parametric-sequential and DivMBest | Helped |
| Replace DivMBest with parametric solver | M-best diverse labelings · Foreground/background segmentation (VOC 2012, 451 images) | IoU: Parametric curve above DivMBest across M=1..10 | Helped |
| Use parametric solver instead of DivMBest | M-best diverse labelings · Foreground/background segmentation (VOC 2012) | runtime (s): Parametric-sequential faster than DivMBest; difference grows with M | Helped |
| Use Hamming-distance diversity (concave) instead of non-concave measures | Joint-DivMBest parametric reformulation · Theory (Theorem 2, Corollary 1) | nestedness/exact solution | No clear effect |
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