One Hundred Steps Is Enough
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.
Part of a bigger question: Is the task we are studying actually hard? – Often it is not. A rule from 1990 with no parameters beats the trained model on the task most of these results were measured on, and what an intervention costs is set by the task's own structure.
In plain English
What we asked. A short warm-up on easier versions of a task makes a small model much better at the hard version. We had shown a warm-up of 6 percent of training was enough. How short can it go?
What we found. A hundred steps, under 2 percent of training, gave the whole benefit: 82 percent on the hard task against 58, on every run. Fifty steps did much less. And the benefit did not appear during the warm-up; it showed up thousands of steps later.
Why it matters. The tiny burst seems to change which way training goes rather than teach much directly. If you are going to try this, it is almost free to try.
The rest of this page is the technical record: the design, every number, and the limits. It is written for a reviewer, and you do not need it to have understood the result above.
New here? How to read a research record
- Start at the verdict. Every record states, before the experiment was run, what result would have made us abandon the idea. That is the "kill test". Then it says whether the test fired. Nothing gets reinterpreted after the fact.
- Numbers in square brackets are uncertainty.
23.4 [18.1, 28.7]means our best estimate is 23.4 and the true value is probably somewhere in that range. If a range includes zero, we cannot claim an effect. - Results that rule an idea out are kept. Roughly half of what is published here says an approach did not work, including plenty of our own. Those pages are the output, not a shortfall: knowing which direction is a dead end is what lets the next experiment go somewhere better, and most of what we now rely on came out of understanding why something else fell short. Work that only publishes what worked is not measuring anything.
- Read the Limits section. Every record ends with what it does not show. It is the most honest part of any experiment and usually the shortest.
- Pro tip: the figures near the top are designed to carry the result on their own. If you read nothing else, read the caption under each one, which says what it shows and what to take from it.
EXPLORATORY. Not a preregistered study. Local CPU,48training runs of6000steps. The design and the kill test were committed (46c9605) before any run.
Program v2 Bucket A, item A23. Decisive computation: . Output: analysis/warmup_floor.py.analysis/warmup_floor.json
The question
A20 found a random mix of easier copy lags for only the first 375 of 6000 steps lifts final lag-8 accuracy by +0.258, as much as any longer warm-up. The floor was not found. How short can it be?
Design: A20's code, task, rate 0.01 and seeds (J8's donor seeds). Warm-ups of 25, 50, 100 and 200 steps (lags 2, 4, 6 drawn at random each step), then lag 8 to step 6000; the 0- and 375-step arms re-run as anchors. Kill test, fixed before execution: the 100-step warm-up's gain over fixed includes zero. Anchor, in code: the 0- and 375-step arms reproduce A20 exactly -- held on all eight seeds.
Results
Warm-up (steps of 6000) | Final lag-8 accuracy | Minus fixed, paired | Seeds above fixed |
|---|---|---|---|
0 (fixed) | 0.575 | -- | -- |
25 | 0.658 | +0.084 [-0.011, +0.178] | 6 of 8 |
50 | 0.668 | +0.093 [+0.008, +0.178] | 7 of 8 |
100 | 0.817 | +0.242 [+0.163, +0.321] | 8 of 8 |
200 | 0.798 | +0.223 [+0.121, +0.325] | 8 of 8 |
375 (A20) | 0.833 | +0.258 [+0.159, +0.357] | 8 of 8 |
The kill test does not fire. A warm-up of 100 steps -- under 2% of the run -- gives the whole gain. Between 50 and 100 steps the effect switches on: 50 steps is only just distinguishable from nothing (+0.093), and it is uneven -- one seed ends at 0.24, the rest between 0.66 and 0.78 -- while at 100 every seed ends between 0.77 and 0.93.
The gain appears late, not during the warm-up. At step 1000 the arms differ by a few points (0.369 fixed, 0.419 with 100 warm-up steps); at step 2000 by 0.09; by step 6000 by 0.24. A hundred steps at the start changes where training ends up, not how far it has got by the time the burst is over.
What it says
With A20 and A21: about a hundred steps of easier versions of the target, at the very start, then the target gives the full effect on this task. That is too little training to have learned the easy lags to any depth, and the gain shows up thousands of steps later, so the reading this favours is that the burst decides which solution the model goes on to find -- an effect on the path, not a stock of knowledge. The obvious test of that reading is whether the same 100 steps work later in training: A26.
What stands
- A23: kill test does not fire.
100steps give+0.242[+0.163, +0.321], on every seed. - The threshold lies between
50and100steps on this task at rate0.01. - The gap opens long after the burst ends.
Limits
- One task, one width (
48), one rate; the threshold in steps is likely to depend on all three. - The
25- and50-step arms are noisy; their intervals are wide and one seed dominates the50-step spread.
Terms on this page
Every piece of vocabulary this record uses, in plain language. Generated from the text above, so it cannot drift out of step with it.
- accuracy
- The fraction of answers a model gets right on questions it was not trained on.
- kill test
- A condition written down before running the experiment that says what result would make us abandon the idea. Fixing it in advance is what stops a disappointing result being reinterpreted as an encouraging one.
- seed
- The number that fixes all the randomness in a training run. Same seed, same run. Running several seeds is how you tell a real effect from a lucky one.
- width
- How many internal numbers a model uses at each layer. The usual way we vary model size in these experiments.
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