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The Unbalanced Gromov Wasserstein Distance: Conic Formulation and Relaxation

NeurIPS 2021 · Learning theory and algorithms › Optimal transport · approach: Wasserstein barycenters and GW · 40 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use UGW (soft KL marginal penalties) instead of partial GWPU learning on Caltech office · Cross-feature and cross-domain PU tasksaccuracy (%): surf-C -> surf-A (0.2): 66.0 -> 76.4; surf-C -> decaf-A (0.2): 87.9 -> 82.4Mixed
Apply UGW on top of FLB initializationPU learning across different feature spaces · surf-C -> decaf-W, prior 0.2accuracy (%): 81.5 -> 89.9Helped
Apply UGW/PGW on top of PW initialization when source and target are same domainPU learning · decaf-C -> decaf-C, prior 0.1accuracy (%): 93.9 -> 86.8Hurt

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