Researchers have introduced a unified framework called conditional maximum mean discrepancy (CMMD) to measure differences between conditional distributions. This framework encompasses various kernel-based metrics, including CMMD$_0$, CMMD$_1$, and CMMD$_2$, and offers a general level $s$ CMMD. A novel doubly robust estimator is also presented, which remains consistent if at least one of the underlying models is correctly specified. The paper demonstrates through numerical experiments that CMMD effectively identifies complex conditional dependencies for statistical testing. AI
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IMPACT Introduces a new statistical method for analyzing conditional distributions, potentially improving model evaluation and testing in machine learning.
RANK_REASON Academic paper introducing a new statistical framework and estimator.