Conceptdesign density
Design Density
The probability density function of the covariates. In minimax rate analysis for causal inference it acts as a rate-determining factor, and its smoothness directly affects the convergence rate of pointwise CATE estimation.
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Oct 14
Under the condition that the density has an upper bound and is bounded away from zero, the gap between the risk upper and lower bounds derived in this study in terms of convergence rate exponents can be arbitrarily small.
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