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PiCO: Peer Review in LLMs based on Consistency Optimization

ICLR 2025 · Large language models › Alignment and preferences · approach: LLM-as-judge and feedback data

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Proposes PiCO, an unsupervised LLM evaluation method where LLMs peer-review each other's anonymous answers and learnable reviewer confidence weights are optimized via a consistency assumption to produce a ranking closer to human crowdsourced rankings.

Problem

Evaluating LLMs without human annotations or benchmark labels, producing rankings aligned with human preference on open-ended tasks, while avoiding benchmark leakage and the cost of human evaluation.

Approach

Each LLM acts as a reviewer of anonymous answer pairs with a learnable confidence weight; response scores are weighted sums of reviewer votes, and the weights are optimized to maximize Pearson consistency between reviewer capability weights and scores, with an unsupervised elimination of weak reviewers (up to 60%).

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Optimize randomly initialized reviewer confidence weights for consistency between capability weights and response scoresPiCO · Chatbot ArenaSpearman's rank correlation: 0.80 -> 0.89Helped
Assign larger weights to stronger models instead of uniform weights (ablation)Peer-review ranking · MT-Bench, Chatbot Arena, and AlpacaEvalSpearman's rank correlation: MT-Bench: 0.74 -> 0.75; Chatbot Arena: 0.80 -> 0.82; AlpacaEval: 0.77 -> 0.79Helped
Assign weights backward by human ranking instead of uniform weights (ablation)Peer-review ranking · MT-Bench, Chatbot Arena, and AlpacaEvalSpearman's rank correlation: MT-Bench: 0.74 -> 0.70; Chatbot Arena: 0.80 -> 0.72; AlpacaEval: 0.77 -> 0.69Hurt
Eliminate weaker reviewers, up to 60% of models (ablation)PiCO · Chatbot Arena, MT-Bench, and AlpacaEvalaverage training loss: nullHelped
Eliminate more than 9 reviewers (ablation)PiCO · Chatbot Arena, MT-Bench, and AlpacaEvalevaluation performance: nullHurt
Use PiCO ranking instead of existing benchmark rankingLLM ranking against human preferences · MMLU and GSM8K comparisonSpearman's rank correlation: MMLU: 0.53 -> 0.88; GSM8K: 0.32 -> 0.88Helped

Surprising findings

Limitations

Experimental setup

Datasets: MT-Bench Chatbot Arena Conversations AlpacaEval

Benchmarks: MT-Bench Chatbot Arena AlpacaEval MMLU GSM8K

Metrics: Spearman's rank correlation Kendall's tau Permutation entropy Precision@K RBP@K Count inversions Longest increasing subsequence

Baselines: Majority Voting Rating Voting GPTScore (flan-t5-xxl) GPTScore (davinci-002) PandaLM PRD PRE Claude-3 (API)

Builds on: PRD PRE GPTScore PandaLM

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