Mixture Proportion Estimation via Kernel Embeddings of Distributions
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چکیده
Mixture Proportion Estimation via Kernel Embeddings of Distributions Supplementary Material A. Proof of Propositions 1, 2, 3 and 4 Proposition. d( ) = 0, 8 2 [0, ⇤], b d( ) = 0, 8 2 [0, 1]. Proof. The second equality is obvious and follows from convexity of CS and that both ( b F ) and ( b H) are in CS . The first statement is due to the following. Let 2 [0, ⇤], then we have that, d( ) = inf w2C k (F ) + (1 ) (H) wkH
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