Tag: polynomial

  • Local Polynomial Lp-norm Regression

    Local Polynomial Lp-norm Regression arXiv:2504.18695v1 Announce Type: new Abstract: The local least squares estimator for a regression curve cannot provide optimal results when non-Gaussian noise is present. Both theoretical and empirical evidence suggests that residuals often exhibit distributional properties different from those of a normal distribution, making it worthwhile to consider estimation based on other…

  • The Polynomial Stein Discrepancy for Assessing Moment Convergence

    The Polynomial Stein Discrepancy for Assessing Moment Convergence arXiv:2412.05135v1 Announce Type: new Abstract: We propose a novel method for measuring the discrepancy between a set of samples and a desired posterior distribution for Bayesian inference. Classical methods for assessing sample quality like the effective sample size are not appropriate for scalable Bayesian sampling algorithms, such…