Research record

The Burst Wins Only at a Higher Rate

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. Our strongest data warm-up, 100 steps of one easier version of the task, reached 89 percent. We tested it at the learning rates where plain training does best.

What we found. There it did nothing. It only won at a much larger learning rate, where plain training falls apart; the warm-up protects the first steps, so the larger rate becomes usable.

Why it matters. That is a real gain over plain training at a fixed rate, but it is the gain any warm-up gives, and the ordinary learning-rate warm-up gives it just as well.

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, 24 new training runs of 6000 steps. The design and the kill test were committed (042e92f) before any run.

Program v2 Bucket A, item A34. Decisive computation: analysis/warmup_minimal_tuned.py. Output: analysis/warmup_minimal_tuned.json.

The question

A30's 100 steps of lag 5 reached 0.892 at rate 0.01, the strongest data warm-up in the thread. A31 tuned the plain run: best at 0.003 (0.768). Does the burst beat the tuned plain run?

Warm-ups do not raise the best result; they move the best learning rate
Warm-ups do not raise the best result; they move the best learning rate. Each point is eight training runs of 6,000 steps. Plain training on the hard task does best at a small learning rate and falls apart at large ones. Both warm-ups do worse than plain training at small rates and better at large ones. Compared at each one's own best setting, the long easy-task warm-up is no better than plain training. The short burst beats it only at the largest rate, which is what a standard learning-rate warm-up also achieves.

Design: A15's task and seeds (J8's donor seeds), 6000 steps. The burst at 0.002, 0.003 and 0.005 (new) and 0.01 (A30); the plain run's cells from A31 and A29. Kill test, fixed before execution: (a) at the plain run's best rate, burst minus fixed includes zero or lies below it; or (b) the burst's best minus the plain run's best includes zero or lies below it. Anchor, in code: the burst at 0.01 on the first seed reproduces A30 -- held.

Results

RatePlain run (A31, A29)100 steps of lag 5, then lag 8
0.0020.6940.674 [0.657, 0.691]
0.0030.7680.726 [0.707, 0.744]
0.0050.7630.845 [0.818, 0.873]
0.010.5750.892 [0.865, 0.920]

The kill test fires, on part (a). At the plain run's best rate the burst does not help: -0.043 [-0.086, +0.001]. Part (b) does not fire: the burst at 0.01 beats the plain run at 0.003 by +0.124 [+0.087, +0.162]. But 0.01 is the top of the grid, so the burst's best rate is not found, and the gain appears only at rates where the plain run falls apart.

What it says

This is the pattern A31 found for the longer warm-up, now for the strongest one: the burst does nothing at the plain run's rate and lets training use a much larger one, where it beats the best constant-rate run by 0.12. That is exactly what a learning-rate warm-up does, and A33 found a 375-step rate warm-up at 0.01 reaches 0.894 -- indistinguishable from this burst (-0.002 [-0.035, +0.032]). The efficiency gain over a constant rate is real; it belongs to warming up, and plain data does it as well as easier data.

Whether easier data adds anything on top of a tuned learning-rate warm-up is the one question left: A35.

What stands

  • A34: kill test fires (part a). At the plain run's best rate the burst gives -0.043 [-0.086, +0.001].
  • At 0.01 the burst beats the best constant-rate run by +0.124 [+0.087, +0.162] -- a warm-up's gain, matched by a learning-rate warm-up (A33).

Limits

  • The burst's best rate is at the grid edge (0.01); higher rates were not tried.

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.

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.
learning rate
How big a step training takes each time it updates the model. Too small and nothing happens; too big and it never settles.
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.

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