Research record

Both Tuned, and Still Slower

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. On a random lookup table, the easy-start recipe was slower than ordinary training. But neither recipe had been tried at a high enough learning rate to be sure it was at its best.

What we found. We tried both at higher rates. Each is fastest at the same rate, 0.008, and slower on either side. At their best, the easy start still took about 2,000 more steps, and it was slower at every rate we tried.

Why it matters. So the result stands with every setting checked. When the easier versions of a task do not share a rule with the hard one, starting easy costs time.

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, 48 new training runs of 24000 steps plus 80 re-used from A66 and A69. The design and the kill test were committed (7ad02cc) before any run.

Program v2 Bucket A, item A70. Decisive computation: analysis/table_both_higher.py. Output: analysis/table_both_higher.json.

The question

On a random 20-symbol lookup table the easy start was slower than plain training (A66), and tuning its own rate left it +1598.8 [+995.1, +2202.4] steps behind (A69) -- but both arms' best rates were at their grid tops. Once both arms are tuned to an interior optimum, is the easy start still slower?

Both recipes tuned, and the easy start is still slower on the random table
Both recipes tuned, and the easy start is still slower on the random table. Both recipes were tried at four learning rates on the random lookup table. Each is fastest at 0.008 and slower on either side, so both are compared at their best. At every rate the easy start is slower, and at each recipe's best it takes about 2,000 more steps. With no rule for the easier versions to share, starting easy costs time.

Design: A66's loop, table, seeds and budget; new cells plain at 0.008 and 0.012, mixed at 0.012. The best of each arm across all its rates (0.003-0.012), paired. Kill test, fixed before execution: best mixed minus best plain includes zero or lies below it. Anchor, in code: re-running A69's mixed 0.008 cell on its first seed reproduces it -- held.

Results

RateEasy start first: mean steps (median)Plain: mean steps (median)
0.0038124 (8160)6575 (6375)
0.0057250 (6920)5084 (4920)
0.0086683 (6520)4707 (4685)
0.0126921 (6810)5251 (5235)

Every run in every cell solves the table.

  • Both best rates are 0.008, inside the grid (both arms are slower at 0.012).
  • Best mixed minus best plain: +1976.2 [+1486.8, +2465.7] steps; ratio of mean steps 1.420.

The kill test does not fire. With both arms tuned to interior optima, the easy start is about 2000 steps slower on the random table. It is slower at every one of the four rates.

What it says

The thread's standing reading holds with every rate caveat closed: on a random table with no rule, as hard for plain training as the subtraction task where the easy start halves the steps, starting on easy lags costs time -- about 40% more steps at each arm's best rate. The easy start needs a rule shared between the easy and hard versions.

What stands

  • A70: kill test does not fire. Both optima 0.008 (interior); best mixed minus best plain +1976.2 [+1486.8, +2465.7] steps; the easy start is slower at all four rates.

Limits

  • One random table (seed 6600), 20 symbols, width 48, sixteen seeds. A harder table (A68) is not yet run.

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.
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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