Math, Music Occasionally, and Stats
Math, Music Occasionally, and Stats
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Three things I learned from a year of listening to musical theatre that I didn't learn in my Classical training
Views and opinions expressed are solely my own. Introduction About one year ago, I started listening and playing musical theatre music for piano, as someone who had been playing primarily Classical (common-practice) piano music for most of my life.
Last updated on Mar 19, 2022
3 min read
An Exact Solution to "The Dice Game" using R, Python, and Markov Chains
Views and opinions expressed are solely my own. To recall “The Dice Game,” a friend sent me the following TikTok video where the speaker refers to “The Dice Game,” consisting of the following steps:
Last updated on Feb 13, 2022
7 min read
Simulating "The Dice Game" in R
Views and opinions expressed are solely my own. A friend sent me the following TikTok video where the speaker refers to “The Dice Game,” consisting of the following steps:
Last updated on Feb 10, 2022
4 min read
Minesweeper, Zelda Style
Views and opinions expressed are solely my own. The analogue to the popular game Minesweeper in Zelda’s Skyward Sword HD is known as Thrill Digger. I wrote R code to help assist me in playing Thrill Digger.
Last updated on Dec 31, 2021
7 min read
Natural Language Processing: An Introduction to Predictive Text
Views and opinions expressed are solely my own. Introduction This post explains the mathematics behind predictive text in natural language processing (NLP), as well as a brief simulation.
Last updated on Aug 22, 2021
7 min read
Linear Regression: Theory in Practice
Views and opinions expressed are solely my own. Introduction In this post, we will be building from the linear regression theory post and applying these concepts to a practical problem.
Last updated on Aug 15, 2021
8 min read
On Teaching Data Science
Views and opinions expressed are solely my own. From Fall 2019 through Spring 2021, I was an adjunct instructor at Normandale Community College, teaching Foundations of Data Science (DSCI 2000).
Last updated on Aug 12, 2021
9 min read
Machine Learning - The Mathematics of Decision Trees and Random Forests - Part 1
Views and opinions expressed are solely my own. Introduction The purpose of this post is to discuss the mathematics of decision trees and random forests. We first begin by discussing regression trees.
Last updated on Aug 10, 2021
5 min read
Machine Learning: The Mathematics of Support Vector Machines - Part 1
Views and opinions expressed are solely my own. Introduction The purpose of this post is to discuss the mathematics of support vector machines (SVMs) in detail, in the case of linear separability.
Last updated on Aug 6, 2021
5 min read
Everything You Cared to Know about Simple Linear Regression
Views and opinions expressed are solely my own. Users of linear regression often assume when performing linear regression, error terms have to be normally distributed and have constant variance for each fixed \(x\)-value.
Last updated on Jul 17, 2021
12 min read
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