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NeurIPS 2023

Are Emergent Abilities of Large Language Models a Mirage?

Score GPT-3's arithmetic by exact match and ability appears suddenly at scale. Score the same outputs by token edit distance and it improves smoothly. Stanford argues the jump is in the metric.

Breakdown by FDE Interviews · 11 min read · Updated

About the original · 2023
AUTHORS
Schaeffer, Miranda, Koyejo
FROM
Stanford University
PUBLISHED
Apr 2023 · NeurIPS 2023
CITED BY
837Semantic Scholar · Nov 2026
IN THIS BREAKDOWN · 10 SECTIONS

You can read 20% of this breakdown.

01

The paper in one minute

The paper on emergent abilities showed tasks where models sit at chance until some scale and then jump. This paper asks whether the jump is in the models or in the measurement.

The argument starts from something everyone agrees on: per-token loss falls smoothly with model size. Suppose the chance of producing each correct token rises smoothly toward 1. If a task is scored by exact match on a five-token answer, the score is roughly that chance to the fifth power, which sits near zero for a long time and then climbs steeply. If the same outputs are scored by token edit distance, the score tracks per-token error and moves smoothly. Multiple-choice grade, which gives 1 only when the right option has the most probability, is a step function of the same kind; Brier score, which measures the probabilities themselves, is smooth. Small test sets add a second effect: a small but real success rate rounds to zero.

The authors test this three ways. On GPT-3 and InstructGPT models doing 2-digit multiplication and 4-digit addition, the jump under exact match on long targets disappears under edit distance, and with more test data even exact match is above chance at every size. On BIG-Bench, emergent abilities concentrate in a few metrics: over 92% of hand-annotated cases use Multiple Choice Grade or Exact String Match, and LaMDA's jumps under Multiple Choice Grade vanish under Brier score. In vision models, choosing a thresholded metric produced emergence-like curves where none had been reported.

THE IDEA, VISUALLY
ONE SET OF OUTPUTS, TWO METRICS (SECTION 2) 1e8 1e9 1e10 1e11 parameters (log scale) 0 0.5 1 per-token accuracy p exact match, 5 tokens = p^5 edit distance / 5 = 1 - p (lower is better) constants c and alpha are ours; the formulas are the paper's WHERE BIG-BENCH EMERGENCE LIVES (FIGURE 5) MC Grade + Exact String Match: over 92% Possible emergence appears under at most 5 of 39 preferred metrics; hand annotations, under 4. LaMDA's jumps under Multiple Choice Grade are smooth under Brier score on the same outputs (Figure 6). SMALL TEST SETS ROUND RARE SUCCESS TO ZERO true exact-match rate 0.1%: P(score = 0) 100 items 0.9 500 items 0.61 5,000 items 0.007 GPT-3's smaller models looked unable to do 4-digit addition; with more test data, all four sizes scored above chance even by exact match (Figure 4). arXiv 2304.15004, Stanford University
If the chance of getting each token right improves smoothly with model size, exact match on an L-token answer is that chance raised to the power L, which stays near zero and then climbs steeply for long answers. Token edit distance, about L times the per-token error, falls smoothly. In our run of the paper's model, a 5-token answer goes from 0.2% to 68% exact match across the same sizes where per-token accuracy goes from 28% to 93%.
Research notes: the problem, approach and results
> 92%

of hand-annotated BIG-Bench emergent abilities scored with Multiple Choice Grade or Exact String Match (Figure 5C)

5 of 39

BIG-Bench preferred metrics that show any possible emergence by emergence score (Figure 5A)

0.90

chance a model with a true 0.1% exact-match rate scores 0 of 100 test items (our calculation)

THE PROBLEM

Published scaling curves show some abilities appearing abruptly and unpredictably at large scale, which raised questions about forecasting and safety. It was unclear whether the abruptness lived in the models or in how they were scored.

THE IDEA

Model per-token error as falling smoothly with size, then show that nonlinear metrics (exact match) and discontinuous ones (multiple-choice grade) turn that into a sharp curve while linear or continuous ones (edit distance, Brier score) do not. Test on GPT-3 arithmetic, BIG-Bench and vision models.

THE RESULT

GPT-3's arithmetic jump disappeared under token edit distance and, with more test data, every model scored above chance even by exact match. Over 92% of hand-annotated emergent abilities on BIG-Bench used one of two metrics, and LaMDA's jumps vanished under Brier score. The authors induced similar jumps in vision models by choosing a thresholded metric.

02

Why it matters to an FDE

This is a paper about evaluation design, and every deployment has an evaluation.

All-or-nothing metrics hide progress. A document extraction scored only on "every field correct" can sit at 10% while field accuracy climbs from 70% to 95%. Report the strict metric the customer cares about and a partial-credit one beside it, so the team can see whether changes are moving things.

Small test sets make rare successes invisible. With 100 test items, a model that succeeds 0.1% of the time scores zero 90% of the time. Before declaring a task impossible for a model, check whether the test set is large enough to see the rate you care about.

Forecasts need smooth metrics. If a customer asks whether a bigger model or more fine-tuning data will fix a task, plot a continuous metric across sizes or data amounts. The strict metric will look flat until it does not.

Watch for jumps in your own dashboards. A sudden change in a pass-rate chart after a model upgrade may be a threshold effect on a metric, not a new capability.

THE FULL BREAKDOWN

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  • ◇1 architecture diagram
  • </>1 runnable code experiment
  • ▦2 results tables
  • ?5 interview questions with answers
  1. 03Key takeaways

    The three explanatory factors, the math model, the three tests, and two common misreadings

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  2. 04How it works

    The model of per-token error, the GPT-3 experiments, the emergence score, LaMDA and the vision tests

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  3. 05The numbers that matter

    Metric counts on BIG-Bench, the GPT-3 results, LaMDA under Brier score, and the vision examples

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  4. 06Try it yourself

    Run the paper's model, compute the zero-score problem, and test a continuous metric that still jumps

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  5. 07Where it breaks

    The smoothness assumption, independent tokens, metric choice for users, and slips

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  6. 08Using it on a deployment

    Pair strict and partial-credit metrics, size test sets, and forecast with the smooth one

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  7. 09Interview angles

    Five questions this paper prepares you for, with answer hints

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