category-theory

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The mathematician Tai-Danae Bradley is using category theory to try to understand both human and AI-generated language.

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New. Comprehensive. Extendable.

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Data comes in different shapes and forms. One of those shapes and forms is known as categorical data.

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Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Category theory is used in almost all areas of mathematics. In particular, many constructions of new mathematical objects from previous ones that appear similarly in several contexts are conveniently expressed and unified in terms of categories. Examples include quotient spaces, direct products, completion, and duality.

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Table of Contents Part One Category: The Essence of Composition Types and Functions Categories Great and Small Kleisli Categories Products and Coproducts Simple Algebraic Data Types Functors Functo…

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Database Marketing, Data Mining, Analytics, Big Data, Forecasting, Segmentation, Predictive Modeling, Measurement, Catalog, Business

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Category theory: online lecture notes and downloadable books

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In college, I took a self-defense class, taught by Sensei Flagg. The next semester, I took a kickboxing class, taught by Sensei Flagg. The next and final semester, I took an Isshin-Ryū Karate class, taught by Sensei Flagg. It was the exact same class each time. The administrators just couldn’

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This is a collection of introductory, expository notes on applied category theory, inspired by the 2018 Applied Category Theory Workshop, and in these notes we take a leisurely stroll through two...

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A quick browse through my Twitter or Instagram accounts, and you might guess that I've had category theory on my mind. You'd be right, too! So I have a few category-theory themed posts lined up for this semester, and to start off, I'd like to (attempt to) answer the question, What is category theory, anyway? for anyone who may not be familiar with the subject.

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An introduction to Data Cataloging and major tools that data teams can use for data discovery

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A value is worthless unless it tells you something.

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Methods to encode categorical variables using Python

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Category theory is a relatively new branch of mathematics that has transformed much of pure math research. The technical advance is that category theory provides a framework in which to organize formal systems and by which to translate between them, allowing one to transfer knowledge from one field to another. But this same organizational framework also has many compelling examples outside of pure math. In this course, we will give seven sketches on real-world applications of category theory.