An Overview of Bayesian Inference
A few weeks ago I wrote about Kuhn’s theory of paradigm shifts and how it relates to Bayesian inference. In this post I want to back up a little bit and explain what Bayesian inference is, and eventually rediscover the idea of a paradigm shift just from understanding how Bayesian inference works.
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Paradigms and Priors
Scott Alexander at Slate Star Codex has been blogging lately about Thomas Kuhn and the idea of paradigm shifts in science. This is a topic near and dear to my heart, so I wanted to take the opportunity to share some of my thoughts and answer some questions that Scott asked in his posts.Read Post
Numerical Semigroups and Delta Sets
In this post I want to outline my main research project, which involves non-unique factorization in numerical semigroups. I’m going to define semigroups and numerical semigroups; explain what non-unique factorization means; define the invariant I study, called the delta set; and talk about some of the specific questions I’m interested in.