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Re-Basin via Implicit Sinkhorn Differentiation

CVPR 2023 · Learning theory and algorithms › Optimal transport · approach: Sinkhorn and entropic OT algorithms · 10 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Sinkhorn re-basin with costRnd instead of STELinear mode connectivity · First degree polynomialAUC: 0.11$\pm$0.10 -> 0.01$\pm$0.01Helped
Use Sinkhorn re-basin with costRnd instead of STELinear mode connectivity · Third degree polynomialBarrier: 0.24$\pm$0.23 -> 0.03$\pm$0.03Helped
Use Sinkhorn re-basin with costRnd instead of WMLinear mode connectivity · MnistAUC: 0.01$\pm$0.00 -> 0.00$\pm$0.00No clear effect
Use Sinkhorn re-basin with costMid instead of STELinear mode connectivity · Cifar10Barrier: 0.15$\pm$0.02 -> 0.05$\pm$0.01Helped
Use Sinkhorn Re-basin with costL2 instead of WMLinear mode connectivity · First degree polynomialAUC: 0.16$\pm$0.15 -> 0.05$\pm$0.06Helped
Use Rebasin with replay instead of A-GEMContinual learning · Rotated MnistAccuracy: 68.47$\pm$0.90 -> 78.14$\pm$0.50Helped
Use Rebasin with replay instead of A-GEMContinual learning · Rotated MnistForgetting: 0.28$\pm$0.01 -> 0.12$\pm$0.01Helped
Use Rebasin with replay instead of EWCContinual learning · Split Cifar100Accuracy: 50.50$\pm$1.33 -> 51.34$\pm$0.74Helped
Use Rebasin with replay instead of EWCContinual learning · Split Cifar100Forgetting: 0.24$\pm$0.02 -> 0.07$\pm$0.02Helped
Replace WM with Sinkhorn re-basin using squared L2 matchingOptimal transport matching · Random initialization, 2 hidden layersL1 distance (scaled × 10^3): 6.05$\pm$9.17 -> 0.00$\pm$0.00Helped
Replace WM with Sinkhorn re-basin using squared L2 matchingOptimal transport matching · Random initialization, 8 hidden layersL1 distance (scaled × 10^3): 0.50$\pm$1.55 -> 0.00$\pm$0.00Helped
Use costRnd instead of costMid (ablation)Sinkhorn re-basin for linear mode connectivity · First degree polynomialAUC: 0.03$\pm$0.02 -> 0.01$\pm$0.01Helped

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