Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes
On Excess Mass Behavior in Gaussian Mixture Models with Orlicz-Wasserstein Distances
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace Euclidean Wasserstein (W_2/W_1) metric with Orlicz-Wasserstein distance using exponential convex Phi(x)=exp(x^beta)-1 (1<beta<16/15) for measuring mixing-measure contraction | Dirichlet process Gaussian mixture models (posterior contraction of mixing measures) · theoretical posterior contraction rate | posterior contraction rate of outlier mass (excess mass) | Helped |
| Use entropic regularized Orlicz-Wasserstein transport plans instead of entropic Euclidean Wasserstein plans (ablation) | transport plan between a 3-component normal mixture and a 4-component Laplace mixture · simulation illustration | qualitative transport plan sharpness and outlier mass assigned | Helped |
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