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DS*: Tighter Lifting-Free Convex Relaxations for Quadratic Matching Problems

CVPR 2018 · Optimization › Optimizers · approach: Differentiating through embedded optimization · 41 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use DS* instead of DS++ for image arrangementDS* · Random colours, 8×8 to 64×64 gridsmean objective: 0.211 -> 0.196; 0.242 -> 0.236; 0.245 -> 0.235; 0.249 -> 0.244Helped
Use DS* instead of DS++ for image arrangementDS* · Face images, 8×8 to 42×42 gridsmean objective: 0.279 -> 0.266; 0.305 -> 0.300; 0.336 -> 0.324; 0.360 -> 0.344Helped
Use DS* instead of DS++ for image arrangementDS* · COCO, 8×8 gridmean objective: 0.256 -> 0.244Helped
Use DS* instead of DS++ for image arrangementDS* · COCO, 16×16 and 32×32 gridsmean objective: 0.238 -> 0.238; 0.274 -> 0.274No clear effect
Use DS* instead of DS++ for image arrangementDS* · COCO, 40×40 gridmean objective: 0.291 -> 0.292Hurt
Use DS* rather than DS++ (ablation)Lifting-free convex relaxation · Synthetic quadratic matching problemslower boundHelped
Use DS* rather than DS++ (ablation)Lifting-free convex relaxation · Synthetic quadratic matching problemsupper boundHelped

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