Latest Posts

Cyclic Subgroup Sums

We classify finite cyclic groups based on the sum of the orders of their proper subgroups

abstract algebra
group theory
number theory

Using a KNN Classifier for Iris Classification

Using the classic Iris dataset, we implement a K-Nearest Neighbors classifier to classify iris species based on their sepal and petal measurements.

classification
machine learning
knn

Learning the XOR function with a Neural Network

We go over how a simple neural network can learn the nonlinear XOR function, a classic problem in machine learning.

neural network
machine learning
math

Finite Field Density

We introduce the concept of finite field density and explore some of its properties.

abstract algebra
finite fields

Linear Regression with Multiple Input Features

Exploring how to apply multivariate linear regression using the a well-known advertising dataset as an example.

linear regression
machine learning

Binary Classification with Logistic Regression

A discussion of how logistic regression works and how it can be applied to the task of classification. We create a model to predict whether binary compounds will form ionic or covalent bonds.

logistic regression
classification

A Linear Regression Analysis of Invasive Burmese Pythons

Demonstrating the use of linear regression to understand the relationship between the length and mass of invasive Burmese pythons in the Florida Everglades.

machine learning
math
regression