Mathematics I have tried to understand, and the occasional thing I noticed while trying.

Chords are shapes July 20, 2026
What an isomorphic keyboard makes visible about harmony

Ballot Structure from the Preference-Dependency Graph July 17, 2026
Which questions should a ballot ask together? The votes can tell us.

The Geometry of Governance January 3, 2026
Voting as a compression problem, and the right to be heard

Calculating the Mean October 10, 2025
I thought means were simple. I was wrong.

Ikram and his tricks October 8, 2025
A Tale of Clay and Calculation

The Stochastic Chain Rule July 22, 2025
A Tutorial on Itô's Lemma

Turing versus Scherbius June 1, 2025
The card game

A Tutorial on Ciphers June 1, 2025
From Caesar to a Simplified Enigma

Intelligent Immunity May 27, 2025
What if intelligence evolved within the immune system?

Every Bias Names an Algorithm March 25, 2025
Bounded reasoners trade accuracy for efficiency in three places, and each trade leaves its own fingerprint

Typical set of arbitrary distributions August 10, 2024
Proving that the image of the typical set is the typical set of the image

The behaviour of neural flows August 1, 2024
Neural nets can struggle to learn very simple flows.

Graph enumeration January 10, 2024
The orderly enumeration of graphs

Uncertainty and graphs November 10, 2022
From uncertainty over constraints to uncertainty over graphs

Automatic integration October 13, 2022
Like automatic differentiation, but for integration

What makes something true? August 18, 2020
How does deductive truth (ie math) relate to inductive truth (ie science)?

Neuro-inspired computation course April 8, 2019
I visited IRCN.

The advantages of backward reasoning. October 20, 2018
A simple exploration of what can be gained by reasoning backwards from your goal.

Inference via interference August 28, 2018
Learning by controlling the propagation speed of signals.

Principles of neural design August 13, 2018
Note from reading the book.

Causal calculus August 10, 2018
A connection between causal inference and gradients?

Visualising dataset alignment February 10, 2018
Dataset alignment represented as tensor networks

Conserved complexity September 26, 2017
A conservation law for algorithms?

Saddles, Splitting, and Reparameterization September 26, 2016
Dynamically Growing Neural Networks

A functional type of non-linear algebra? September 26, 2016
Functional programming plus neural network architectures.

Representations within linear algebra September 26, 2016
We can use linear algebra to represent; linear operators, algebras, computations, symmetry and more.