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Last Build Date: Sun, 15 Mar 2015 21:33:36 +0000

 



UFC 2014 Year in Review

Wed, 21 Jan 2015 01:39:44 +0000

I’ve been working on a program that allows measurement of the performance of MMA fighters over time, without tunable parameters or the need for human judgement. I used it to calculate the current top five fighters in each weight class in the UFC, then looked at how their scores varied over the last year. Tweaking…Read more UFC 2014 Year in Review



Warby Parker Canada Review

Sat, 06 Dec 2014 21:44:37 +0000

I tend to order everything I can online. My current pair of glasses were looking pretty beat up and my benefits plan at work had just reset, so I decided to take the plunge and order glasses from online retailer Warby Parker. They’ve had a strong online presence for US-based shoppers in the last few…Read more Warby Parker Canada Review



Quantifying the Career of Georges St-Pierre

Wed, 06 Aug 2014 15:01:43 +0000

I recently decided to improve my graph theory based MMA ranking system which modeled fighters as vertices and wins as edges on a directed graph. Previously the system generated a single large list of fighter rankings, evaluating all fights on record to generate data. The only problem is that this does not show how these…Read more Quantifying the Career of Georges St-Pierre



Summer Cleaning

Sat, 26 Jul 2014 21:03:56 +0000

It’s been a while since I’ve posted on here – currently in the process of cleaning up the site and updating the look and feel. I’ve made the decision not to delete any old content despite how awkward it may appear now. It’s a bit crazy to realize that this site has been online, in…Read more Summer Cleaning



The Theis Equation and Flow

Thu, 10 Mar 2011 02:13:56 +0000

Mathematics is remarkably effective in describing the physical world in part due to isomorphisms, relationships between concepts that reveal a similar underlying structure. In 1935 Charles Vernon Theis was working on groundwater flow, a subject with little mathematical treatment at the time. He thought that perhaps a well tapping a confined aquifer could be described…Read more The Theis Equation and Flow



Convergence in the Lorenz Attractor

Wed, 09 Mar 2011 18:59:52 +0000

Most visualizations of the Lorenz attractor are of a long history of a single point after convergence to the attractor has occurred. I was interested in what the surrounding space looked like, so I randomly selected 20,000 starting points from a three dimensional Gaussian distribution with a standard deviation of 100. Each point was iterated,…Read more Convergence in the Lorenz Attractor



Graph Theory, Algorithmic Consensus, and MMA Ranking

Mon, 31 Jan 2011 23:02:08 +0000

I’ve been working on an objective ranking system lately that could be applied to groups with large numbers of individual competitors, like the sport of mixed martial arts (MMA). The biggest issue compared to typical ranking systems is that there are so many participants that they cannot all compete against each other in a round-robin…Read more Graph Theory, Algorithmic Consensus, and MMA Ranking



Directed Graphs and MMA

Sun, 30 Jan 2011 17:29:04 +0000

There is underlying mathematical structure everywhere – it’s just a matter of finding the best way to unfold it from the data. I’ve been working on a project to objectively rank mixed martial arts fighters. It’s not anywhere near done yet, but I’ve collected a fair bit of data. Here’s what nearly 2000 MMA fights…Read more Directed Graphs and MMA



Color Cycled Lorenz Attractor

Mon, 10 Jan 2011 04:48:00 +0000

Another visualisation of the Lorenz attractor discussed in Lorenz and the Butterfly Effect, color cycled between green and blue. A path of one million points, newer values are green, older values are blue. I’ve also produced some higher resolution stills with better antialiasing. Built with Processing.



Lorenz and the Butterfly Effect

Thu, 06 Jan 2011 21:50:54 +0000

In 1962, Edward Lorenz was studying a simplified model of convection flow in the atmosphere and discovered something that wasn't simple at all.