Tim Shoaf

Tim Shoaf

Coding and Collaboration


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A Basic Recipe for Probability Theory

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{{toc}} One Cup of Set Theory Definition Intersection Union Subset Superset Infimum Supremum Three Dashes of Abstract Algebra Groups Rings Algebras Fields Sigma-Algebra / Sigma-Field A Spoonful of Measure Theory Outer Measure Inner Measure Lebesgue Measure Rad…

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An Introduction to Machine Learning: Gaussian Process Regression

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Having seen a probabilistic view for classification, and some of the computational difficulties in higher order approximations in both regression and classification, we now turn toward a simple, yet general and highly powerful framework for regression and clas…

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An Introduction to Machine Learning

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In recent years many different industries have been drawn toward the techniques of machine learning and artificial intelligence to solve various real world problems that are not easily attacked by simple algorithms or analytic methods. Examples of such problem…

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An Introduction to Machine Learning: Logistic Regression

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Classification Redux Now that we have had a look at gradient descent models and perdorming regression using a cost function, I would like to return to the concept of classification. Let us say that, instead of smooth, contiguous dataset, we have something mor…

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An Introduction to Machine Learning: (Non-) Linear Regression

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I'd like to depart, for a bit, from the notion of classification so that we can introduce another important part of machine learning--regression. It is a common problem that one collects a set of data that is, perhaps, a bit noisy, and still wishes to find som…