Category Archives: Math

Probability-as-logic vs probability-as-strategy vs probability-as-measure-theory


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Attention conservation notice: Elementary (and possibly not-even-right) if you have the relevant mathematical background, pointless if you don't. Written to help me clarify to myself a moment of categorical (pun not intended) confusion. What's a possible way to understand the relationship between probability as a the (by Cox) extension of classical logic, probability as an […]

Regularization, continuity, and the mystery of generalization in Deep Learning

A light and short note on a dense subset of a large space... There's increasing interest in the very happy problem of why Deep Learning methods generalize so well in real-world usage. After all, Successful networks have ridiculous amounts of parameters. By all rights, they should be overfitting training data and doing awfully with new […]

Why we should always keep Shannon in mind

Sometimes there's no school like old school. A couple of weeks ago I spent some time working with data from GitHub Archive, trying to come up with a toy model to predict repo behavior based on previous actions (will it be forked? will there be a commit? etc). My first attempt was to do a […]