AI Models

The models behind generative AI, read as statistics rather than products.

Five questions, every model

Strip away the branding and each model is a guess at a conditional distribution. The difference between them is what gets hidden and what has to be guessed.

What comes next?
p(xₜ | x<ₜ)

Cover everything after position t and predict it. Repeated over a corpus, this is maximum-likelihood estimation of the distribution of text.

What is missing here?
p(x_M | x∖M)

Hide a slice of the input and rebuild it from what remains on both sides. The point is not the guess but the representation learned along the way.

Which of these belong together?
p(match) ∝ exp(sim / τ)

Pull pairs that truly go together closer, push the rest apart. No labels needed beyond the pairing itself.

What noise was added?
xₜ = √ᾱₜ · x₀ + √(1 − ᾱₜ) · ε

Destroy the data with Gaussian noise in small steps, learn to undo one step, then run the whole chain backwards to sample something new.

What does the number do next?
p(y | x, context)

The same machinery pointed at numbers: series become tokens or patches, and a table of labelled rows becomes context for predicting new ones.

Thirteen years

Word vectors in 2013, masked language models in 2018, and by 2026 the same recipe pointed at banking events. Dot colour is the training objective.

20132015201720192021202320252027
  1. Word2Vec
  2. GPT
  3. BERT
  4. CLIP
  5. TabPFN
  6. Stable Diffusion
  7. Llama
  8. Claude
  9. TimesFM
  10. DeepSeek
  11. Gemini
  12. Sora
  13. Chronos
  14. PRAGMA

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