Blog

24 Aug 2023 - Variable Analysis for Improving a Regression Model

I take a look at a textbook dataset of NFL statistics, and produce an analysis of variables that argue for feature transformation that provides a better suit to the stated problem than the original variables.

08 Feb 2023 - Finding a Multivariate Gaussian Probability Distribution For Discrete Points

I discuss a problem I recently worked that involved finding the probability that a given sample point belongs to a given multivariate Gaussian distribution.

26 Sep 2022 - Energy Flow in a Graph Through Message Passing

I cover the basics of graph networks, and discuss how energy can be propagated through a network via graph convolutions using a graph adjacency matrix.

22 Jul 2022 - Using Divergence to Detect Pollution Sources

I describe the concept of the divergence of a vector field and share an application for detecting pollution sources from satellite imagery.

12 Jun 2022 - Experimenting with Maximal Coding Rate Reduction

I code up some simulations to compare how the MCR2 objective function works for multiclass contrastive representations against other methods like computing FLD and L2.

13 May 2022 - Modeling Kelp Observations as a Zero-Inflated Poisson Process

I share a project about modeling kelp population observation and making statistical inferences about population growth or decay. I go through a few statistical tests and some data analysis.

15 Apr 2022 - Deriving The Poisson Distribution From The Binomial

I talk about about what Poisson distributions are, and how it's probability mass function is derived.

01 Apr 2022 - Extending Bayes' Theorem To Multiple Conditions

I go over the fundamentals of Bayes' theorem, and explain how to incorporate joint distributions as conditioning events.