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An Empirical Analysis of Uncertainty in Large Language Model Evaluations
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Empirically studies evaluation uncertainty (token-probability confidence) of 9 LLM evaluators on MT-Bench and PandaLM, shows CoT/reference prompting and CoT-trained evaluators raise confidence, and fine-tunes ConfiLM (Llama3-8B) with response-confidence hints that improves OOD judging on a new 220-instance Olympic 2024 set.
Problem
Model-based LLM-as-a-Judge evaluations are unstable, but the role of evaluator and candidate uncertainty in LLM evaluation is largely unexplored, especially under out-of-distribution data.
Approach
Uses token probabilities as internal confidence for both evaluator (evaluation confidence) and candidate responses (response confidence), analyzes how prompting and specialized training affect it, and fine-tunes an evaluator that receives verbalized response confidence as extra input to improve OOD judging.
Key results
- Average evaluation confidence is 0.654 for single-answer grading versus 0.797 for pairwise comparison on MT-Bench across 6 general evaluators.
- ConfiLM reaches F1 0.621 on Olympic 2024, versus 0.582 for Llama3-8B-Instruct-Finetune and the reported gains of 3.9% and 8.5%, with the 3.9% gain described as relative to Finetune, which is the paper's wording.
- Prometheus2-7B achieves evaluation confidence 0.993 on MT-Bench single-answer grading, above the general-LLM average of 0.654, showing CoT-trained evaluators are more confident.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| fine-tune Llama3-8B-Instruct with response confidence as auxiliary information (ablation) | Llama3-8B-Instruct evaluator · Olympic 2024 | F1 (overall): 3.9% | Helped |
| fine-tune Llama3-8B-Instruct with response confidence as auxiliary information (ablation) | Llama3-8B-Instruct evaluator · Olympic 2024 | F1 (overall): 8.5% | Helped |
| add response confidence to general evaluator prompts (ablation) | GPT-4o · Olympic 2024 Extraction | F1: 0.690 v.s. 0.641 | Hurt |
Surprising findings
- Higher general capability does not guarantee more stable evaluation: GPT-4o has low single-answer evaluation confidence (0.417) on MT-Bench.
- Llama2-70B-Instruct evaluating Llama2-7B-Instruct shows unusually high confidence (0.953), suggesting self-preference bias within a model family.
Limitations
- Only single-round evaluation is studied; multi-turn MT-Bench uses first-turn questions only.
- Proprietary models without token probabilities (e.g., Claude) are not covered.
- OOD test set is small (220 instances) and the evaluation confidence-accuracy relation is only analyzed on Olympic 2024.
Experimental setup
Datasets: Alpaca 52K MT-Bench PandaLM test set
Benchmarks: MT-Bench PandaLM test set Olympic 2024
Metrics: evaluation confidence response confidence F1 win/lose/tie rate rating
Baselines: GPT-4o GPT-4o-mini GPT-3.5-Turbo Llama3-70B-Instruct Llama2-70B-Instruct Qwen2-72B-Instruct Prometheus2-7B Prometheus2-bgb-8x7B PandaLM-7B Llama3-8B-Instruct Llama3-8B-Instruct-Finetune
Builds on: MT-Bench PandaLM Prometheus 2 Alpaca 52K
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