If sub-populations in a training mixture are close in total variation distance, the paper claims generalization bounds and regression rates match those of a single population, with thresholds that tighten as function classes get more complex.
Learning mixtures of gaussians,
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Learning and Generalization with Mixture Data
If sub-populations in a training mixture are close in total variation distance, the paper claims generalization bounds and regression rates match those of a single population, with thresholds that tighten as function classes get more complex.