Polynomial Stein discrepancy provides a moment-detecting goodness-of-fit test for Bayesian samples that is cheaper than kernel Stein discrepancy and proven to detect first-r moment differences for Gaussian targets.
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The Polynomial Stein Discrepancy for Assessing Moment Convergence
Polynomial Stein discrepancy provides a moment-detecting goodness-of-fit test for Bayesian samples that is cheaper than kernel Stein discrepancy and proven to detect first-r moment differences for Gaussian targets.