Research question

What actually happens at the moment a model learns?

Ongoing research. This is an experimental result from active work, not a settled conclusion. The numbers are what we measured and the method is described so you can judge it, but the programme is still running and later experiments may revise what it means.

A note on the language in these records. This is a working laboratory notebook for research into training AI models more cheaply and efficiently, so you will read that an approach did not work, that a result did not hold up, or that one method was worse than another. That is the research doing its job, not a verdict on the engineering we deliver to clients. Ruling an approach out is how the search narrows, and these are the pages that teach us the most: nearly every technique we now rely on came from understanding why something else fell short. Testing our own ideas at least as hard as anyone else's is the point of publishing them. More about this programme and why we run it.

The jump from guessing to competent takes a few dozen steps. What is going on inside the model during those steps?

Where this stands

It builds machinery rather than selecting it, working through the task in a reproducible order and trying a simpler wrong rule on the way. The visible training curve cannot tell you which is happening.

This is where the commercially relevant finding lives: a model handed finished machinery shows the same training curve as one building it from nothing, so the curve alone cannot tell you what you paid for.

Still open · 27 published results bear on this question.

What this does not settle yet

Stated plainly, because the gaps are as much a part of the record as the answers:

  • Why is the first-acquired part the most expensive to remove? The mechanism is unexplained.
  • Everything here is one architecture family on one task family.

How these results fit together

Models on these tasks do not improve gradually. They sit near chance for a long time and then climb steeply, and these nine records are about what is inside that climb. The most useful finding is that it is not one event: what looks like a single jump is several acquisitions in a reproducible order, roughly sixteen steps apart. That ordering is stable enough across seeds to be a real property of the task rather than noise. Two records complicate it in ways worth knowing. First, some of that apparent separation is an artefact of scoring by accuracy, which is a winner-takes-all measurement -- scored in bits instead, the acquisitions are about half as separated, though the *order* is untouched. Second, a model handed finished internal machinery largely skips the reorganisation, while one handed a perfect external shortcut does not, which points at the climb being the construction of machinery rather than the discovery of an answer. The most striking negative here is that two models can have nearly identical improvement curves while one is building something and the other arrived with it. The curve alone cannot tell you which you are looking at.

The results

Each of these is a self-contained record: what we asked, what would have proved us wrong, what we found, and what it does not show. They open with a plain-language summary before any of the technical detail.

A Clock, Not a Warning

The internal dynamics' move towards chaos turned out to be a clock of training progress: a fixed fraction of the way to learning, identical across runs.

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Early Towards the Edge

The model's internal dynamics move towards the edge of chaos half-way by step 50 in every run, but because the timing never changes, it does not predict learning.

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The Frame Decides the Sign

We tested whether bigger models skip an internal reorganisation. Two standard measures gave opposite answers, so the idea is not established.

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The Prerequisite Forecasts the Skill

A 2026 forecasting rule for language models, tested on our own committed runs: the building block's timing predicts the combined skill's, blind across ten setups.

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Two Papers on Interference

The first result from our new habit of checking recent research every round: one paper agrees with our measurement, the other sets our next experiment.

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Most of It Is Pull

The third attempt, with twelve models and a steadier measure: an unneeded objective costs the others roughly in proportion to how often it is trained.

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A Ratio That Could Not Decide

Room or pull? The data lean one way; the measurement we fixed in advance could not say. We explain why and fix it next time.

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Too Weak to Learn Costs Nothing

A test that could not run, and why: a check we had written into our own rules that morning, skipped.

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It Was the Rate, Not the Width

Changing one thing at a time settled it: how much an unneeded skill costs the others depends on how hard training pulls, not on model size.

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Less Competition at Width 512

The first sign that bigger models compete less on this task, reported with the confound that could explain it and the test that will separate them.

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Flat Through Width 256

Bigger models did not stop the skills competing on this task, and the widest one needed a different learning rate to learn at all.

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Wider Models Still Compete

At twice the width, never teaching an unneeded skill still makes the others arrive a quarter to a third sooner.

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One More Skill Slows the Rest

The paired test of the competition idea: teach one unneeded skill and everything learned after it arrives later.

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Skills Compete

We predicted a queue and found competition: take one unneeded skill away for a while and the rest learn faster.

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A Queue, Not a Graph

We tried to find which skill feeds which by holding one back. What came out looked like a queue: everything learned later waited, whether it needed the held-back skill or not.

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Depth Sets the Order

The longer rerun of the five-skill test: every skill learned, and on all six runs in the order the dependencies predict rather than the order difficulty predicts.

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Depth Costs Most of the Budget

Five planted skills: learned in the order of what depends on what, not of how hard each is alone. The deepest one mostly was not learned in time, so a longer test is next.

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One Jump, or Several?

What looks like one sudden jump is four, about sixteen steps apart, ordered by which element of the pattern is being predicted. The order is reproducible at +0.983 across seeds.

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The Training Curve Cannot Tell You

Give a model finished internal machinery and the reorganisation stops, though its accuracy still jumps. The visible curve looks the same either way.

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It Tries The Wrong Rule First

The model's answers resemble one simple rule early and a different, correct one later. Its leftover mistakes are systematic rather than random.

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We Gave It The Answer Anyway

Handing a model a correct shortcut changes nothing about how much it rearranges inside. Handing it finished internal machinery does. The difference says what the rearranging is.

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The Scoring Made The Steps

Scored a second way with no right-or-wrong line in it, the stages of learning are about half as separated. The order they arrive in is unchanged.

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Does the Transition Create Features, or Select Them?

A fixed random memory never reaches full accuracy at any width tested, and at a compute-matched budget improves 18.7 times more gradually. The sharp part of learning needs a memory that can change.

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Learning It Again Is Not Like Learning It

The same amount of learning, six times less internal upheaval. Which means the signature marks learning from scratch, not learning in general.

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The Habit It Did Not Need

Removing the habit costs almost nothing, so it is not a stage the model needs. What each removal costs turns out to follow the structure of the task itself.

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The Easiest Skill Is Learned Last

A recent study of large models found combined skills appear after their parts and read it as evidence of prerequisites. In ordinary tasks the combined skill is also the harder one, so we built a case where those two explanations disagree.

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A Dial, Not a Switch

Scramble a quarter of the labels, then half, then all of them. The effect shrinks smoothly with each step, and two of our measurement attempts failed first.

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