The Method That Looked Fastest Was Cheating
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: What actually makes training cheaper? – 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.
In plain English
What we asked. If you are training a model and could choose which examples to train on, the appealing idea is to pick the ones it has most to learn from. We tested several ways of doing that on a task with an easy half and a hard half, against the baseline of simply taking whatever arrives.
What we found. None of them helped, including one given perfect information at a cost no real system could afford. But one method appeared to: it reached the finish line 26 steps sooner than everything else. It did that by training almost entirely on the easy half, choosing the hard half 9% of the time against the baseline's 51%. It finished perfect on the easy half and worse than the baseline on the hard one.
Why it matters. Our own measurement is what let that pass. We were timing when each model crossed the midpoint of its own progress, and a model that learns half a task has less progress to make, so it crosses its own midpoint sooner and looks fast. The fix is obvious once seen: check what each model actually learned before crediting it with being quick. The broader point is that a cheap shortcut for choosing data will tend to find the easy data, because easy and informative look similar to a simple measure and are not the same thing.
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, 20 training runs, no GPU, no cost.
Program v2 Bucket G, item G5. Decisive computation: . Output: analysis/heterogeneous_novelty.py. Reproduce with analysis/heterogeneous_novelty.jsonpython analysis/heterogeneous_novelty.py in about thirty-five minutes on a throttled laptop CPU.
The question
B4 found no benefit to gradient-novelty data selection, every arm indistinguishable from taking the first batch that arrived, including a full-gradient arm with perfect information at impractical cost, which saved +0.4 steps out of 93.6.
B4 named its own most likely explanation in Limits: its batches are drawn i.i.d. from one distribution, so there may be genuinely nothing to select between. Until that is tested, B4 cannot be cited as a result about the method rather than about that task.
Kill test: selection is still indistinguishable from random on heterogeneous data. Then novelty selection does not work as a method, and the line closes rather than being scoped.
The mixture
Each candidate batch comes from one of two sub-tasks chosen at random: delayed-copy at lag 2 and at lag 8. Same vocabulary, same length, same scoring, genuinely different structure. Everything else is B4 unchanged, so a difference must be the data rather than the design.
Result: the kill test fires
| Arm | Transition | Final easy / hard | Harder half chosen | Beats control? |
|---|---|---|---|---|
| random (control) | 91.6 [76.8, 106.4] | 0.994 / 0.316 | 51.4% | , |
| full gradient | 97.2 [75.8, 118.6] | 0.976 / 0.335 | 68.2% | no |
| head, closed form | 97.6 [78.3, 116.9] | 0.995 / 0.319 | 61.0% | no |
| embedding | 65.6 [58.7, 72.5] | 1.000 / 0.166 | 8.7% | see below |
The full-gradient arm still does not beat random, on data that genuinely varies, with perfect information about every candidate. That is B4's result reproduced in the regime B4 said might explain it away. B4's null is about the method, not about its task.
The arm that appeared to win
The embedding arm "saves" 26 steps with an interval clear of the control's. On the summary that reads as the one selector that works.
It is not selecting informative data. It is avoiding difficult data.
- It chose the harder sub-task 8.7% of the time against the control's 51.4%, a
-42.8%skew. - It reached
1.000on the easy sub-task and0.166on the hard one, against the control's0.316. It is worse than random at the half it avoided. - Its mean accuracy is
0.583against the control's0.655.
It trained almost exclusively on the easy half, perfected it, and got worse than chance-adjacent at the other.
Why the measurement let that pass
A transition is defined on each run's own accuracy range. A model that learns only half the mixture has a smaller range, so its midpoint arrives earlier, it looks faster while learning strictly less. Speed was being measured without checking what got learned, and a selector that skips the hard sub-task produces exactly that signature.
The fix is not subtle: record final accuracy per sub-task, and refuse to credit a saving from an arm that has not reached the control's accuracy. A speed comparison between models that learned different amounts is not a speed comparison.
The first run's verdict called this "found a curriculum rather than novelty selection", which was too generous. A curriculum is easy-then-hard. This is easy-and-never-hard.
Verdict
- B4's null stands and is now about the method. On genuinely heterogeneous data, the full-gradient arm, the upper bound on what any selector could know, is still indistinguishable from taking whatever arrives.
- No arm both beats the control and learns as much.
- The one arm that looked like a win was avoiding the hard half, and would have been published as a success by any summary that reported speed without accuracy.
- Gradient-novelty data selection is closed, on i.i.d. data by B4 and on mixed data by G5.
Limits
- Two sub-tasks, one width, one optimizer, five seeds, 460 steps.
- The hard sub-task is not solved by anyone. All arms end between
0.166and0.335on lag 8, so this measures selection during partial learning of the hard half rather than through its completion. A longer budget would test whether selection matters when both halves are learnable, and is the obvious follow-up. - The mixture is 50/50 and uniform. A skewed or shifting mixture is a different experiment, and arguably the one closest to real training data.
- The embedding arm's behaviour is itself a finding about proxies, not just an artifact to discard: the cheapest signal available correlated almost perfectly with sub-task identity, so it became a difficulty detector. A cheap proxy that tracks difficulty rather than informativeness is a predictable failure mode for any selection scheme built on one.
- Accuracy tolerance for crediting a saving is
0.02, chosen before the comparison rather than after.
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.
- curriculum
- The order and mix in which a model is shown its training material, for example easy examples first and harder ones later.
- gradient
- The direction and amount by which each of a model's internal numbers should change to do slightly better. Training is repeatedly following 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.
- optimizer
- The algorithm that decides how to change the model given the gradient. AdamW and SGD are two common choices and they behave differently.
- 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.
- vocabulary
- The set of distinct symbols a model can read and produce.
- 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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