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Joint M-Best-Diverse Labelings as a Parametric Submodular Minimization

NeurIPS 2016 · Learning theory and algorithms › Submodular and game algorithms · approach: Streaming submodular algorithms · 8 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace sequential DivMBest with parametric (Joint-DivMBest-equivalent) solver computing M labelings via closed-form gamma valuesM-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=10Helped
Replace DivMBest with the exact parametric solverM-best diverse labelings · Interactive segmentation (super-pixel)quality (per-pixel accuracy): 93.16 -> 95.13 at M=2; 95.02 -> 96.01 at M=6Helped
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=2Helped
Parallel vs sequential parametric solver (ablation)Parametric M-best solver · Foreground/background segmentation (VOC 2012)runtime: Parametric-parallel clear winner over Parametric-sequential and DivMBestHelped
Replace DivMBest with parametric solverM-best diverse labelings · Foreground/background segmentation (VOC 2012, 451 images)IoU: Parametric curve above DivMBest across M=1..10Helped
Use parametric solver instead of DivMBestM-best diverse labelings · Foreground/background segmentation (VOC 2012)runtime (s): Parametric-sequential faster than DivMBest; difference grows with MHelped
Use Hamming-distance diversity (concave) instead of non-concave measuresJoint-DivMBest parametric reformulation · Theory (Theorem 2, Corollary 1)nestedness/exact solutionNo clear effect

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