Posts tagged "mathematics"
13 posts
Decorating Christmas Trees with Group Theory
Applying Burnside's lemma and Polya's enumeration theorem to quantify the number of patterns I can choose to arrange the baubles on my Christmas tree.
Building a Semantic Blog Post Clustering System
An automated system that finds related blog posts with embeddings and k-means clustering. It runs before the build, so recommendations cost nothing at runtime.
Solving Terni Lapilli: A 2000-Year-Old Game
Applying optimisation and group theory to Terni Lapilli, an ancient version of tic-tac-toe, to model optimal play and learn mathematics I hadn't met before.
Understanding Ship Deceleration: Interactive Calculator and Mathematical Methods
How long does a ship take to stop? An interactive calculator and the hydrodynamics from first principles show that hull form and propulsion type dominate.
From Naval Warfare to the Grimdark
I adapt a naval combat model to Warhammer 40k. Monte Carlo simulation is the most accurate, but Markov chains reveal the distributions expected values hide.
Classifying data with Python
Using scikit-learn to build a machine-learning pipeline that compares how well different classifiers predict the movement of a stock price.
Calculating covariance matrices with Python
I wanted to use lower level linear algebra constructs in Python to calculate a covariance matrix.
Learning about data science
Useful resources for learning about data science.
Reconstructing a point set from a Euclidean Distance Matrix
Recovering point locations from vectors.
A review of Matrix Methods in Data Analysis
A review of the MIT 18.065 Spring 2018 opencourseware course, instructed by Gilbert Strang.
Numerical Linear Algebra Cookbook
A review of numerical linear algebra for machine learning.
Linear Algebra for Data Science Cookbook
A review of mathematical concepts helpful for data science.
Uncertainty analysis literature review
A review of the literature on uncertainty and sensitivity analysis when applied to optimisation models.