Category Archives: Math

A Fair Bet

By Raelifin | Published: November 25, 2012

Here I’ll explain a bit of math around betting that has certainly been published elsewhere. Being the renegade that I am, I worked this out with no books or sources. Maybe I’m a bit too proud of my simple theorem, but here it is anyway; a trophy of a late-night/early-morning thinking about math. Two clear-minded [...]

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Clustering and Perception

By Raelifin | Published: June 20, 2011

Rysade asks: What does clustering have to do with perception? All it takes is a question! To start, let’s take a functioning neural net (never mind how it learned), which is a well understood perceptual system. In a NN, each “neuron” is hooked to a bunch of others by weights. As the other neurons activate [...]

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Defining Feedback Loops

By Raelifin | Published: February 20, 2011

Imagine a system, any system. It could be Super Mario, the solar system, facebook, a cell, whatever. Now, this system is almost surely filled with various quantities, be they distances, velocities, hidden variables, or just countable things. I will call each quantity an x. (One x might be how fast Mario is moving along the [...]

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Recursive Escapades

By Raelifin | Published: February 11, 2011

Fair warning: I don’t know if I like this post. It may be because I’m tired of looking at the math, but it might also be due to incoherence, or a terribly weak ending. I’d rather post it than work on it more, so heads-up. Let’s say there are two doors. Behind the left door [...]

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