Scatterplot Smoothers

$$ \newcommand{\fx}{\text{fx}} $$ The all and any functions are present in many programming languages, in the case of this essay, our examples will be given in Python. # Are ALL the values truthy?

$$ \newcommand{\fx}{\text{fx}} $$ Danger always stalks the data analyst: whereas a software engineer’s code may fail to compile or pass unit tests, the data analyst’s work is silent about its incorrectness.

$$ \newcommand{\identity}{\mathbb{1}} \newcommand{\defeq}{\mathrel{\mathop:}=} \newcommand{\roufive}{\zeta_5} \newcommand{\routwenty}{\zeta_{20}} \newcommand{\fourthroot}{ \sqrt[4]{5} } \newcommand{\fifthroot}{ \sqrt[5]{7} } \newcommand{\Qfour}{ \mathbb{Q…

We show that: Goal $$ \lim_{n \rightarrow \infty} \int_0^\infty \frac{n x^{n}}{0.1 + x^{n+3}} \sin\left(\frac{x}{n}\right) dx= 1 $$ If one is well acquainted with this sort of problem, the limit of integrals calls to mind the great integration theorems of…

The two most practically important problems in computational mathematics are solving systems of linear equations, and computing the eigenvalues and eigenvectors of a matrix.

Ridge penalization is a popular and well studied method for reducing the variance of predictions in regression.

Beginners in machine learning often write off regression methods after learning of more exotic algorithms like Boosting, Random Forests, and Support Vector machines; why bother with a linear method when powerful non-parametric methods are readily availabl…

In this note I’d like to give proof to a well known probabilistic interpretation of the AUC model fit statistic.

R is a high level language for statistical computations.

I like to solve project euler problems using python.