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Continuous Wasserstein-2 Barycenter Estimation without Minimax Optimization

ICLR 2021 · Learning theory and algorithms › Optimal transport · approach: Wasserstein barycenters and GW · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use C W2B instead of CR WBContinuous Wasserstein-2 barycenter estimation · Location-scatter Gaussian, D=256, N=4L2-UVP, %: >100 -> 0.83Helped
Use C W2B instead of SC W2BContinuous Wasserstein-2 barycenter estimation · Location-scatter Gaussian, D=256, N=4L2-UVP, %: 1.50 -> 0.83Helped
Use C W2B instead of CR WBContinuous Wasserstein-2 barycenter estimation · Location-scatter uniform, D=256, N=4L2-UVP, %: $>100$ -> $0.82$Helped
Use C W2B instead of SC W2BContinuous Wasserstein-2 barycenter estimation · Location-scatter uniform, D=256, N=4L2-UVP, %: $1.52$ -> $0.82$Helped
Use C W2B instead of SC W2BContinuous Wasserstein-2 barycenter estimation · Location-scatter uniform, D=32, N=20L2-UVP, %: $0.60$ -> $0.31$Helped
Use C W2B instead of CR WBSubset posterior aggregation · Poisson regressionB W2^2-UVP, %: $1.53$ -> $0.1$Helped
Use C W2B instead of SC W2B generated barycenterSubset posterior aggregation · Poisson regressionB W2^2-UVP, %: $0.67$ -> $0.1$Helped
Use C W2B instead of CR WBSubset posterior aggregation · Negative binomial regressionB W2^2-UVP, %: $1.26$ -> $0.11$Helped
Use C W2B instead of SC W2B generated barycenterSubset posterior aggregation · Negative binomial regressionB W2^2-UVP, %: $0.15$ -> $0.11$Helped

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