Math is Cool, I Promise

This is a collection of projects that I've worked on that use mathematical tools to solve interesting problems in a variety of fields by Dallin Stewart

---

Table of Contents

1. Welcome
2. Computer Vision and Image Analysis
3. Machine Learning
4. Optimization and Other Fun Algorithms
5. Predictive Modeling and Differential Equations

Welcome

This repository is a collection of projects that I started as an assignment for my math classes that is still under development. Credit for a lot of the ideas in these projects goes to the ACME program at BYU. Each of the projects are distinct, but most use tools from linear algebra, calculus, and probability including:

Convex Optimization

Singular Value Decomposition

Eigenfaces Method

Least Squares

Adjacency Matrices and Graph Theory

Breadth First Search

Nearest Neighbors

Markov Chains

Monte Carlo Methods

Interpolation

Fast Fourier Transform

Applied and Computational Math Emphasis

Brigham Young University’s Applied and Computational Math Emphasis (ACME) program is a major designed for solving the problems of the 21st century. Mathematics provides the foundation of modern technology and science, it is the key to building successful algorithms in artificial intelligence and machine learning, and it provides the analytical power needed to process, evaluate, and take full advantage of the ever-growing flood of data and information in the world. ACME is a new educational model that teaches both the theory and the practical skills in mathematics, statistics, and computation needed to solve the problems of the modern world.

---

Folder Descriptions

Computer Vision and Image Analysis

Analyzing Sound Waves

Seemlessly Inserting One Image into Another

Removing Noise and Blur from an Image

Enhancing a Noisy Image

Image Compression

Image Segmentation

Machine Learning

Facial Recognition without Deep Learning

Classifying Handwritten Digits with Clustering

Learning to Filter Noisy Sensor Data

House Price Prediction with Linear Regression

Data Classification with Logistic Regression

Identifying Breast Cancer with PCA and Clustering

Detecting Spam with Naive Bayes

Speech Recognition like Siri with HMMs

Optimization and Other Fun Algorithms

How Your Computer Lies to You

Recommending Artists to Listeners with NMF

How to Optimize Your Nutrition with Simplex

Google's Page Rank Algorithm

Finding Popular Actors with Graph Searching

Recommender System without Machine Learning

How to Talk like Yoda

Solve Wordle with Entropy

Predictive Modeling and Differential Equations

Making Stock Predictions with ARMA Models

Modeling Chaos with Lorenz Equations

Understanding Entropy and Heat Flo

Finding the Optimal HIV Treatment with Control Theory

Balancing an Inverted Pendulum (aka walking)

Route Planning around Obstacles with Control Theory

Modeling Disease Spread with SIR Models

Maximizing Profit from Timber Harvesting

(back to top)

---

Contact

Dallin Stewart - dallinpstewart@gmail.com

(back to top)