Applied Mathematics - d-atif/mathematics-links GitHub Wiki

Category theory in machine learning

  1. Algebraic Dynamical Systems in Machine Learning, Iolo Jones
  2. Categorical Foundations of Gradient-Based Learning, Crutwell
  3. Stochastic Neural Network Symmetrisation in Markov Categories, by Rob Cornish
  4. Learning is a Kan extension, Matthew Pugh et al.
  5. An enriched category theory of language: from syntax to semantics, Tai-Danae Bradley et al.

Topology&Data(ML, data analysis, big data)

  1. Sheaves: A Topological Approach to Big Data, Linas Vepstas
  2. Sheaf theory: from deep geometry to deep learning, Anton Ayzenberg et al.
  3. Topological data analysis on nlab
  4. Beyond Euclid: An Illustrated Guide to Modern Machine Learning with Geometric, Topological, and Algebraic Structures
  5. Topological Data Analysis for Neural Network Analysis: A Comprehensive Survey
  6. TopoX: A Suite of Python Packages for Machine Learning on Topological Domains
  7. Topological Data Analysis: Concepts, Computation, and Applications in Chemical Engineering — Alexander D. Smith, Paweł Dłotko and Victor M. Zavala

Applied category theory (in general)

  1. Applied Category Theory in the Wolfram Language using Categorica I: Diagrams, Functors and Fibrations, Jonathan Gorard

Topology&CS

  1. Applications of topology in computer algorithms, Rastislav Telgarsky

Miscellaneous

  1. Computational Geometry lecture notes at ETH by Bernd Gärtner, Michael Hoffmann

Companies

  1. Conexus, uses CT in data integration (heard about it in a talk by John Baez)
  2. A comprehensive list of companies/startups/etc using CT in ML/AI, blog post by John Baez