Writings

Thoughts and notes on idea, data, technology, and finance.

Diffusion language models replace next-token prediction with iterative denoising. The result is faster, more flexible generation, and a new set of trade-offs.

October 1, 2026

Psychohistory with Modern Science

Asimov imagined a mathematics capable of steering civilization. Modern social science has built fragments of it, and discovered why the whole may be impossible.

September 1, 2026

From Noise to Data

A mathematical introduction to diffusion models, from discrete denoising and score matching to stochastic differential equations.

June 1, 2026

When the World Moves, the Prediction Should Follow

Equivariance in deep learning tells us how a neural network predictions should change when the input is transformed.

March 1, 2026

                                                
                                                
                                                
                                                
                                                
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