arXiv subjects

Christopher K I Williams

Publications and source records attributed to Christopher K I Williams.

2 recordsLinked to original sources

arXiv2022

The Elliptical Quartic Exponential Distribution: An Annular Distribution Obtained via Maximum Entropy

This paper describes the Elliptical Quartic Exponential distribution in $\mathbb{R}^D$, obtained via a maximum entropy construction by imposing second and fourth moment constraints. I discuss relationships to related work, analytical expressions for the normalization constant and the entropy, and the conditional and marginal distributions.

stat.ME↗

arXiv2021

The Effect of Class Imbalance on Precision-Recall Curves

In this note I study how the precision of a classifier depends on the ratio $r$ of positive to negative cases in the test set, as well as the classifier's true and false positive rates. This relationship allows prediction of how the precision-recall curve will change with $r$, which seems not to be well known. It also allows prediction of how $F_β$ and the Precision Gain and Recall Gain measures of Flach and Kull (2015) vary with $r$.

cs.LG↗