Math, Music Occasionally, and Stats
Math, Music Occasionally, and Stats
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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
On the Interpretation of Vaccine Efficacy Rates
Views and opinions expressed are solely my own. Background With COVID-19 vaccines now being widely available in the U.S., I’ve seen various interpretations of vaccine efficacy rates. As one example, the paper disseminating the study on the efficacy of BioNTech and Pfizer’s vaccine BNT162b2 states in its results section:
Last updated on Jul 15, 2021
3 min read
Some Proposals for Statistical Education
Views and opinions expressed are solely my own. Background I hold a bachelor’s degree in mathematics (with a statistics emphasis) and a master’s degree in statistics. Statistical education, on its own, is insufficient to address modern data needs.
Last updated on Jul 12, 2021
5 min read
Dungeons & Dragons, and Monte Carlo Simulation: Standard Set or Dice Rolls?
Views and opinions expressed are solely my own. Background Last week, I joined a Dungeons & Dragons (D&D) campaign. For those of you who are not familiar with D&D, part of the process is that each player will create their own character who will have abilities and ability scores attributed to each ability.
Last updated on Jul 3, 2021
6 min read
Commenting on the Statistics of COVID Blood-Type Associations
Views and opinions expressed are solely my own. Introduction In the early days of the COVID-19 pandemic in the U.S., news around an article in medRxiv caught the attention of many of my peers, generating headlines such as:
Last updated on Jun 29, 2021
7 min read
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