IC-100GPT-4, GPT-3.5, Claude 3, Llama 3 8B, and Llama 3 70B can be prompted to approximately calibrate their accuracy to specific target percentages on MMLU

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Teun van der Weij, Felix Hofstätter, Oliver Jaffe, Samuel F. Brown, Francis Rhys Ward

SourceAI Sandbagging: Language Models can Strategically Underperform on Evaluations

When prompted to answer exactly p% of MMLU questions correctly (for p in 0, 10, 20, ..., 100), all frontier models can approximately hit the target accuracy. Most models tend to overshoot the target but are clearly capable of modulating their performance. Llama 3 8B was significantly better calibrated than Llama 3 70B. The evaluation uses a subset of MMLU (MMLU-easy, 5,854 samples) that all models can answer correctly, so the full probability range is accessible.

Evidence
correlational
Key metric
All frontier models can accurately approximate arbitrary targets; most tend to overshoot. Llama 3 8B significantly better calibrated than Llama 3 70B.
Caveat
The authors note that performance can likely be further improved with greater engineering effort, such as extended prompt engineering and more extensive hyperparameter sweeps. Evaluation is limited to multiple-choice question answering.
Model
GPT-4 / ChatGPT4 / GPT-4 Code Interpreter / GPT-4 Technical Report, GPT-3.5 / ChatGPT-3.5, Claude 3, Llama 3 8B, 70B
Datasets
MMLU / MMLU-Math [eval]
Related findings
IC-099, IC-101
Extraction
automatic-extraction