Articles by The Pleasure of Finding Things Out: A blog by James Triveri

A Matrix Factorization Approach to Linear Regression

February 1, 2024 | The Pleasure of Finding Things Out: A blog by James Triveri

This post is intended to shed light on why the closed form solution to linear regression estimates is avoided in statistical software packages. But we start by first by deriving the solution to the normal equations within the standard multivariat...

$\epsilon_{1}, \cdots, \epsilon_{n} \sim \mathrm{i.i.d.}\hspace{.25em}\mathrm{normal}(0, \sigma^{2})\\ y_{i} = \beta^{T}x_{i} + \epsilon_{i}.$

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Querying SQL Server with Pandas

February 1, 2024 | The Pleasure of Finding Things Out: A blog by James Triveri

Pandas is a powerful, flexible and easy to use open source data analysis and manipulation tool built on top of the Python programming language. It has become the data manipulation library of choice for Machine Learning and Data Science practition... [...Read more...]

Gradient Descent for Logistic Regression

February 1, 2024 | The Pleasure of Finding Things Out: A blog by James Triveri

Within the GLM framework, model coefficients are estimated using iterative reweighted least squares (IRLS), sometimes referred to as Fisher Scoring. This works well, but becomes inefficient as the size of the dataset increases: IRLS relies on the...

$z = \boldsymbol{X} \boldsymbol{\theta}$

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Articles by The Pleasure of Finding Things Out: A blog by James Triveri

A Matrix Factorization Approach to Linear Regression

Querying SQL Server with Pandas

Gradient Descent for Logistic Regression