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Three Underrated Theorems in Probability

3 minute read

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Probability theory has a few results that receive most of the attention: the central limit theorem, Bayes’ rule, the law of large numbers. These are foundational and rightly so. But there are other theorems that quietly shape how statisticians and machine learning researchers think about convergence, uncertainty, and estimation, yet rarely appear in standard courses. Here are three that I have found particularly useful.

portfolio

Clac Permalink

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A series of programming language projects exploring pattern matching, macro expansion, and interpreter design

ContextFlow Permalink

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A .NET library for building structured LLM interactions through dependency injection and fluent interfaces

Embyte Permalink

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A customizable embed generator for websites, inspired by Discord’s rich embeds

Finsights Permalink

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A newsletter service that sends automated performance updates for selected stocks

GPTVault Permalink

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A recursive knowledge accumulation system using large language models to build structured concept graphs

Instadata Permalink

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A scalable Instagram scraper built with Django for data science pipelines

LetoReader Permalink

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A minimalistic, highly customizable speed reader built as an open-source alternative to paid tools

Mosaic Permalink

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A link-as-bio platform for projects, built with PHP and TailwindCSS

TimeWise Permalink

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A workforce scheduler using integer linear programming to generate optimal shift assignments

pptrain Permalink

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A PyTorch-native library for pre-pretraining language models on synthetic tasks

publications

talks

teaching

Teaching experience 1

Undergraduate course, University 1, Department, 2014

This is a description of a teaching experience. You can use markdown like any other post.

Teaching experience 2

Workshop, University 1, Department, 2015

This is a description of a teaching experience. You can use markdown like any other post.