https://jlab.soe.ucsc.edu/nlp-wiki/ 2026-05-13T22:27:57+00:00 https://jlab.soe.ucsc.edu/nlp-wiki/ https://jlab.soe.ucsc.edu/nlp-wiki/lib/tpl/dokuwiki/images/favicon.ico text/html 2023-06-15T07:36:14+00:00 Anonymous (anonymous@undisclosed.example.com) https://jlab.soe.ucsc.edu/nlp-wiki/doku.php?id=stats:gumbel-max_trick&rev=1686814574&do=diff Gumbel-max Trick See Gumbel-max trick at Tim Vieira's blog, and this follow-up post on Weighted reservoir sampling. The Gumbel-max trick is widely used in deep learning from this paper: Categorical Reparameterization with Gumbel-Softmax. See also the Reparameterization Trick section 6.4 in Kim et al 2018 - A Tutorial on Deep Latent Variable Models of Natural Language text/html 2023-06-15T07:36:14+00:00 Anonymous (anonymous@undisclosed.example.com) https://jlab.soe.ucsc.edu/nlp-wiki/doku.php?id=stats:sampling&rev=1686814574&do=diff Sampling Sampling Methods * Sampling from the unit simplex: Smith & Tromble 2004 (unpublished manuscript) text/html 2023-06-15T07:36:14+00:00 Anonymous (anonymous@undisclosed.example.com) https://jlab.soe.ucsc.edu/nlp-wiki/doku.php?id=stats:statistical_tests&rev=1686814574&do=diff Statistical Tests Overview of Tests * [Common Statistical Tests] (from here) * The Statistics Tutor’s Quick Guide to Commonly Used Statistical Tests * NLP 203 Lecture Spring 2021 Tests for Correlation * Parametric tests (these assume normality of the data) * Hypothesis Test for the Correlation Coefficient * See first part of Correlation testing * Non-parametric tests (preferred, since these make no distributional assumptions) text/html 2023-06-15T07:36:14+00:00 Anonymous (anonymous@undisclosed.example.com) https://jlab.soe.ucsc.edu/nlp-wiki/doku.php?id=stats:statistics&rev=1686814574&do=diff Statistics Books * Introduction to Probability * Basic Probability Theory by Robert Ash