Research question

What actually makes training cheaper?

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.

Training a model costs money and time. This is where we test the ideas that are supposed to reduce that cost, and report what they actually save once the cost of running them is counted.

Where this stands

One thing has worked: stopping part of the training early saved about 7% with no loss of quality. Everything else tested has been matched by a simpler or cheaper method -- and in two cases the clever method was only winning because it was quietly being given more.

This is the question the whole project exists to answer, and the one where it is easiest to fool yourself. A saving is only real once you have subtracted what the method cost you, in the same units, and compared it against the simplest thing that could have worked instead.

Still open · 31 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:

  • The one real saving came from a fixed schedule, not from measuring anything. We do not yet know of a saving that requires knowing what the model is doing.
  • Nothing here has been tested at a scale where an instrument's cost would amortise, or on anything other than a small model on a synthetic task.
  • Bucket O is mostly aimed at this question: progressive width, function-space accounting, and whether any of it survives a compute-matched control.

How these results fit together

This is the question the project exists to answer, and it is the one where it is easiest to fool yourself, so the standard here is deliberately harsh: a saving counts only once you have subtracted what the method cost you, in the same units, and compared it against the simplest thing that could have worked instead. By that standard one thing has worked. Freezing the expensive recurrent component late in training saved about 7% of the run with no loss of quality. The instructive part is that timing it from the model's own behaviour gave no advantage over picking a fixed step in advance -- the saving is real and the measurement that produced it was not needed. That has now happened three times in different guises, and it has become a standing rule here: find the best offline schedule before inventing anything adaptive. Two attempts failed in a way worth reporting. Choosing training data cleverly barely beat taking whatever came first, even with an unrealistically expensive selector. And a method that looked fastest turned out to be winning because it was quietly being given more than its competitors -- a reminder that most efficiency claims die on their controls, not their ideas.

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 Boost off the Frontier

The first thing in a six-experiment thread to beat the plainest alternative: 12% sooner at no measurable accuracy cost, on one setup so far.

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A Speed-Accuracy Frontier

Tuned properly, the learning rate alone halves the time to learn at the same accuracy, and one of our speed-ups turns into a slow-down.

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The Learning Rate Was Never Tuned

Priced against the plainest alternative, the late boost loses at the first try. A four-experiment thread ends at a setting nobody had tuned.

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The Push Was a Learning Rate

No hindsight needed, and no special direction either: a short, late learning-rate boost does all of it. Early boosts hurt.

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Real on One Task Only

A free speed-up that held on one task and vanished on a second. The random-time control was inert by construction, which we disclose rather than hide.

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The Formula Could Have Failed

On a fair test, the best donor length sits where the formula said: about 1.4 times a new model's own learning time. A sweep becomes a multiplication.

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How Fast It Learned

A lead found after the fact held up on fresh runs with the rule fixed first: learning speed ranks useful candidates better than the free check, at no cost.

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The Room Was a Training Budget

The gap we built for adaptive thinking was unfinished training. Trained to the end, six fixed steps of thinking reach 99.5%, and the thinking thread closes.

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Calibrate After Learning

Learn first, then train the early answers: every run improved in the second phase. It fell short only because the first phase ended before the puzzle was learned.

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The Weighting Was Not the Problem

With later steps favoured, the model still stays near 61% where training only the final answer reaches 81%. The next test learns first and calibrates after.

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Which Donors You Count

The free check ranks the useful candidates well, correcting an earlier claim. With a different, fairer pool, how fast a candidate learned ranks better still: a lead to retest.

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The Room Was There

Fixed thinking reaches 83% on a harder puzzle; the train-every-step recipe stays near 57%. What made its answers trustworthy cost it the ability to learn.

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Revisiting Rescues the Easy Tasks

Going back to what slipped rescues the easy tasks and closes half the gap to the teacher. A task abandoned half-learned stays behind.

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Right Order, Right Answers, No Room

With every thinking step trained to answer, stopping on confidence is ordered and calibrated, and ties a fixed budget that already scores 99.9%.

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The Order Comes Right

Stopping on confidence spends more thinking on harder questions, the right way round. It still loses badly to a fixed budget, because early answers were never trained to be right.

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A Window That Parks

A hand-written sliding window beats fixed plans and falls a little short of the teacher: it parks on the hardest task while the middle ones decay.

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The Teacher Found a Plan

A free adaptive teacher beats the best fixed curriculum, a first here. Replaying another run's choices does as well: what it found was a plan you can write down.

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A Fixed Budget Thinks Better

The thinking cut reproduces. A fixed three-step budget is more accurate, uses fewer steps, and trains for less, because learned thinking goes to the wrong questions.

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Vary the Layout, Not the Labels

Sixteen presentations of one task generalise to unseen ones; one does not. Moving things around does all the work. Renaming them does none.

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We Found a Saving, and It Needed No Instrument

Switching off the most expensive part of the model saves 7% of training for free, if you wait long enough. A calendar times it as well as any detector.

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Predicting It Without Watching

The free formula only wins when model size and exercise difficulty are kept as two separate numbers. Combined into the one number that correctly describes how abrupt learning is, it misprices when learning happens by more than three times.

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Being Choosy About Data Costs More Than It Saves

Every selection rule we tried, including one with perfect information at impossible cost, was indistinguishable from taking whatever batch arrived first. The economics never arise because there is nothing being saved.

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The Method That Looked Fastest Was Cheating

It scored perfectly on the easy half and worse than the control on the hard half, which it chose 9% of the time against the control's 51%. Our speed measurement did not notice.

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Five Models Pay For One

Our first efficiency result with a break-even number attached. A donor trained just past its own turning point saves each later model 25 steps, costs 120, and one donor works for everyone rather than needing to be tuned per model.

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A Five Second Check

No new training: two of our own results had never been put next to each other. Picking at random costs more than using nothing at all.

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The Number Survives, The Advice Does Not

The first of nineteen unchecked claims to be re-tested. The kill test does not fire, and two of three predictions recorded in advance were right.

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Two Ladders That Had to Agree

No new training. The consistency check passed and the design made it unable to fail, which is worth more than the number.

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A Free Check Saturates at Three

The screen separates perfectly and orders badly, so it is a rejection rule rather than a ranking rule. The prior recorded in advance said so and said why.

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A Short Model Is a Lottery

The kill test fires. A claim published the same morning is corrected by banner: half the size at short lengths, and it does not close at convergence.

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It Already Knew The Order

The dependency order between skills is real and measurable. Turning it into a teaching order buys nothing, because a model left alone already learns them in that order. Teaching the wrong order, however, is genuinely damaging.

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The Head Start Closes

The fifth result here of the form 'something happens at a particular moment in training' to fade as models grow, and the fifth to fade completely. It qualifies our own break-even number from the day before.

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