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Adaptive Prediction-Powered AutoEval with Reliability and Efficiency Guarantees
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Proposes R-AutoEval+, an adaptive testing-by-betting framework that mixes real and LLM-judge data via a learned reliance factor, giving finite-sample reliability and sample-efficiency no worse than R-Eval and R-AutoEval.
Problem
Reliable model selection/risk certification using LLM-as-judge autoevaluators: autoevaluation with PPI can reduce variance but may hurt sample efficiency and has only asymptotic guarantees when the judge is poor.
Approach
Introduces a PPI++-style effective observation with a reliance factor rho, runs several rho candidates in parallel, and combines their e-values with exponential weights updated by accumulated evidence, so the test adaptively reverts to real-data-only testing when the autoevaluator is inaccurate.
Key results
- On LLM quantization (TriviaQA, alpha=0.1), R-AutoEval+ selects smaller models than R-Eval and R-AutoEval when the autoevaluator is BF16/MX6 and recovers R-Eval with the low-quality MX4 judge.
- On reasoning budget selection for Qwen3-1.7B on GSM8K, R-AutoEval+ saves up to 127 tokens over R-Eval and up to 66 tokens over R-AutoEval on average (e.g., 856.13 vs 883.99 tokens with GPT-4.1 judge).
- Across all tested setups, R-AutoEval+ yields the smallest confidence intervals and consistently outperforms R-Eval and R-AutoEval in the prompt-selection task.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| adaptively weight synthetic data rather than using R-Eval alone | R-AutoEval+ with GPT-4.1 · GSM8K | average generated tokens: 983.34 (137.87) -> 856.13 (70.93) | Helped |
| adaptively weight synthetic data rather than using R-AutoEval | R-AutoEval+ with Qwen3-32B · GSM8K | average generated tokens: 1007.45 (150.48) -> 941.20 (129.61) | Helped |
| use S=5 instead of S=2 candidate reliance factors (ablation) | R-AutoEval+ with GPT-4.1 · GSM8K | average generated tokens: 871.67 (16.24) -> 854.99 (14.02) | Helped |
| increase candidate reliance factors from S=10 to S=20 (ablation) | R-AutoEval+ with GPT-4.1 · GSM8K | average generated tokens: 856.13 (13.90) -> 856.13 (13.90) | No clear effect |
| replace equally spaced reliance factors with Dir(1,...,1) factors (ablation) | R-AutoEval+ with GPT-4.1 · GSM8K | average generated tokens: 856.13 (13.90) -> 860.91 (15.63) | Hurt |
| replace equally spaced reliance factors with Dir(0.1,...,0.1) factors (ablation) | R-AutoEval+ with GPT-4.1 · GSM8K | average generated tokens: 856.13 (13.90) -> 873.27 (15.10) | Hurt |
| replace equally spaced reliance factors with Dir(1,...,1) factors (ablation) | R-AutoEval+ with DeepSeek-R1-0528-Qwen3-8B · GSM8K | average generated tokens: 961.94 (27.24) -> 960.76 (27.09) | Helped |
| replace equal initial weights with Dir(10,...,10) weights (ablation) | R-AutoEval+ with DeepSeek-R1-0528-Qwen3-8B · GSM8K | average generated tokens: 961.94 (27.24) -> 959.21 (27.04) | Helped |
| replace equal initial weights with Dir(0.1,...,0.1) weights (ablation) | R-AutoEval+ with DeepSeek-R1-0528-Qwen3-8B · GSM8K | average generated tokens: 961.94 (27.24) -> 969.50 (25.59) | Hurt |
| use adaptive reliance factors rather than R-AutoEval alone | R-AutoEval+ · GSM8K | normalized deviation of generated tokens: 3.90% -> 6.88%; 6.32% -> 6.00% | Mixed |
Surprising findings
- Same-family autoevaluators (e.g., Qwen3-32B for Qwen3-1.7B) can make R-AutoEval require more tokens than R-Eval, attributed to preference leakage.
- A higher-accuracy autoevaluator is not always better: Llama-3.2-3B-Instruct (66%) helped reduce tokens more than Qwen3-32B (82%) for R-AutoEval due to family effects.
Limitations
- Requires access to real-world unlabeled data.
- The set of candidate reliance factors is fixed a priori.
- Sample-efficiency guarantee holds only for sufficiently high target reliability levels (1-delta).
Experimental setup
Datasets: TriviaQA Instruction-Induction GSM8K CoQA
Benchmarks: TriviaQA Instruction-Induction GSM8K CoQA
Metrics: model size (selected) performance drop execution accuracy tokens generated (sample efficiency) confidence interval width
Baselines: R-Eval R-AutoEval Eval AutoEval fixed sequence testing Bonferroni correction
Builds on: prediction-powered inference PPI++ testing-by-betting R-AutoEval R-Eval
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