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Benchmarks MMLU/GSM8K

评测基准 MMLU/GSM8K
🎯Core Definition
four representative benchmarks anchor different capability axes: (1) MMLU — 57-subject multiple choice, 5-shot CoT, world knowledge and reasoning breadth; (2) GSM8K — 8,000 grade-school math word problems requiring stepwise reasoning (largest CoT gains), arithmetic and multi-step reasoning; (3) HumanEval — 164 hand-written Python function-completion tasks, scored with pass@k: pass@k=1(nck)/(nk)\text{pass}@k = 1 - \binom{n-c}{k} / \binom{n}{k} (cc correct out of nn samples); (4) IFEval — verifiable instruction following (format/length/keyword constraints), testing obedience rather than answer correctness.
💡Use Cases
model selection and version comparison (same 5-shot protocol); paper baseline reporting; regression testing after SFT/RL; interview staple — what each benchmark measures and how to judge who wins once scores saturate.
Key Problems Solved
one aggregate score can't cover the capability space; the four anchor knowledge breadth, math reasoning, code generation, and instruction following. But closed-book MCQ scores are near saturation (some leaderboards >95%) and suffer training-data contamination — public stems absorbed into pretraining data inflate scores, pushing the field to harder variants (MMLU-Pro, GSM-Plus) and leakage-controlled evaluation.
🎯5 High-Frequency Exam Points
1
What capability does each of MMLU/GSM8K/HumanEval/IFEval measure, and why 5-shot rather than zero-shot?
2
Derive pass@k: with c passing out of n samples, why does the binomial formula give the correct estimate?
3
What are the signs and causes of benchmark saturation, and how do you respond (harder variants, dynamic evals, leakage control)?
4
How do you detect and avoid data contamination — dedup, public timelines, held-out sets?
5
GSM8K gains hugely from CoT yet trivial formatting changes help too — what does that imply, and how do you control prompt sensitivity in eval?
Updated 2026-08-12
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