Spooky thought of the day: If Death *makes* us all equal, then it's rather the great *co*equalizer.

The smartest thing the EU can do now is release a ton of funding for scientists, and relative visas. And I mean immediately.

New paper on Markov categories, proving Aldous-Hoover categorically, by Leihao Chen, Tobias Fritz, Tomáš Gonda, Andreas Klingler, Antonio Lorenzin. arxiv.org/abs/2411.12840

Here's a lecture at MIT on Markov categories, symmetries, and generative AI, by Rob Cornish and myself. youtu.be/ozN4zLEUCgs?fe… #touchdesigner #streamdiffusion #bananas

Extended Symmetry and Geometry in Neural Representations abstract of my full paper on neural network symmetrisation in Markov categories: arxiv.org/abs/2412.09469 See for an overview of the story in terms of deterministic functions and Markov kernels rather than general Markov categories.

Excited to be in Seattle for the JMM! Besides ACT today and categorical probability on Saturday, which sessions are my fellow category theorists attending?

Never forget that you do can do natural gradient descent in Haskell! github.com/alex404/goal

What do Beck-Chevalley monads have to do with conditional probability? arxiv.org/abs/2502.14941

New great work by Dario Stein. arxiv.org/abs/2503.02477

To all my UK-based mutual are into 'cybernetics', I very strongly recommend this exhibition in London. tate.org.uk/whats-on/tate-…

We finally have the strong law of large numbers in Markov categories. arxiv.org/abs/2503.21576

New #Paper on Strong Laws of Large Numbers in #Categorical #Probability, by Tobias Fritz, ⁦Antonio Lorenzin⁩ ⁦Paolo Perrone⁩ et. al. arxiv.org/abs/2503.21576

What are point-free measurable spaces, and what is their quantum equivalent? Great work by Tobias Fritz and Antonio Lorenzin. arxiv.org/abs/2504.13708

We start in 10 minutes!

Me, every time the EU "wants to attract researchers":

I'm excited to be in Bologna for the week! (If anyone is here and wants to meet, write me an email.)

The document that started categorical probability, part of secret work from 1962, has reappeared, together with new commentaries of its author, Bill Lawvere. lawverearchives.com/wp-content/upl… Thanks to Tobias Fritz and to the Lawvere Archives for the work.

New paper out! arxiv.org/abs/2508.01146

A categorical definition of independence! Here is a recording of the talk I gave at CT 2025, for anyone who might have missed it. youtu.be/ls6zOX8L1eI

We should call it 'connecting the DOTS'.