Mar 102016

neural network

Modeled after observed biology and behavior within the brain, neural networks are arguably the most popular of the biologically inspired AI methods. Neural networks excel at pattern recognition and classification tasks including facial, speech, and handwriting recognition. They also often play a central role in video game character AI.
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Mar 092016

This is going to be another one of my “selfish” posts – written primarily for me to refer back to in the future and not because I believe it will benefit anyone other than me. The idea is one that I always took for granted but had a hard time proving to myself once I decided to try.

Theorem: Suppose we have an M bit unsigned binary integer with value A. Consider the first (least significant) N bits with value B. Then:

A \equiv B \bmod{2^N}

Put another way, arithmetic with unsigned binary integers of a fixed length N is always performed modulo 2^N.
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