Atlas · notebook · labPublic preview · one investigation open

Mathematical atlas · notebook · lab

Bring one AI idea. Leave with a model you can test.

Start with a concept, equation, mechanism, paper question, or model behavior. Follow the same object through intuition, math, code, an experiment, and an honest source boundary.

  1. Object
  2. Prerequisite
  3. Prediction
  4. Witness
  5. Evidence
  6. Invariant
  7. Next move
01

What is known

Read the atlas

Fifty-one concept notes with intuition, mathematics, code, and a runnable figure, over the foundations they depend on.

Open the Atlas
02

What you can test

Commit to a prediction

Investigations that take your answer before showing the calculation. No score, streak, account, or saved answer.

Enter the Lab
03

What is not yet known

Follow an open question

Research programs published by claim boundary and evidence state — including a result that reproduced and still meant something else.

Read the Atlas-64 report

Worked example · Transformer systems

What gets smaller when four query heads share one memory?

One worked example from the wider atlas. Predict the memory effect, inspect the calculation, then connect the result backward to attention and forward to serving.

Attention head sharing

One mechanism, still sealed

Result sealed

Thirty-two query heads enter a sealed head-sharing comparison. The changed quantity and calculated result are not shown.

  1. Head diagram
  2. Equation
  3. Code
  4. Calculated result

The evaluated count and memory stay sealed until you lock in a guess or choose Just show me.

Test this worked example

About two minutes · saved in this browser only if you lock in a prediction

The rule every notebook follows

One idea, carried through four representations.

Curated routes

Follow a question, not a catalog.

See all learning paths

51 published notebooks

The atlas, kept quiet until you need it.