SCOPE: Selective Conformal Optimized Pairwise LLM Judging
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Abstract (arXiv)
Large language models (LLMs) are increasingly used as scalable judges in pairwise evaluation, but they remain prone to miscalibration and biases. We propose textscScope (Selective Conformal Optimized Pairwise Evaluation), a framework that calibrates an acceptance threshold so that, under exchangeability, the error rate among non-abstained judgments is at most a user-specified level α. To supply textscScope with a bias-neutral uncertainty signal, we introduce Bidirectional Preference Entropy (BPE), which queries the judge under both response positions and converts the order-averaged preference probability into an entropy-based score. Across various pairwise judging benchmarks, BPE outperforms standard confidence proxies in calibration and discrimination, while textscScope consistently satisfies the target risk bound (empirical FDR ≈ 0.097--0.099 at α=0.10) and retains substantial coverage. Compared to vanilla baselines, textscScope accepts up to 2.4× more judgments under the same risk constraint, demonstrating that BPE enables reliable and high-coverage LLM-based evaluation.
Key facts. Cited by 12 papers in the map (data through 7 Oct 2026). Builds on 32 of its 44 references that are in the map. First posted on arXiv 13 Feb 2026.
Builds on
32 of 44 references.
References · 32
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- 2019Conformal Prediction Under Covariate Shiftcited by 511
20 more
- 2024RewardBench: Evaluating Reward Models for Language Modelingcited by 480
- 2024JudgeBench: A Benchmark for Evaluating LLM-based Judgescited by 294
- 2022Conformal Risk Controlcited by 290
- 2021Distribution-Free, Risk-Controlling Prediction Setscited by 278
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- 2024Conformal Alignment: Knowing When to Trust Foundation Models with Guaranteescited by 50
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Built on by
Citing papers per year: 2026: 12.
12 papers.
- 2026A Finite-Calibration Regime Map for LLM Judge Panelscited by 2
- 2026CARE: A Conformal Safety Layer for Medical Summarizationcited by 1
- 2026Judge, Retrieve, or Abstain: Uncertainty-Guarded LLM Judging with Provable Risk Guaranteescited by 1
- 2026Share the Judge, Learn the Deferral: Where Specialization Helps LLM Evaluationcited by 0
- 2026Uncertainty quantification for trustworthy deep learning: Methods and measurescited by 0
- 2026Localize-Then-Decide Guarantees for LLM Judgmentscited by 0
- 2026Multi-Expert Conformal Risk Control for Pairwise LLM Judging in Open-Ended Dialoguecited by 0
- 2026Aggregate Disambiguation Systemscited by 0
- 2026Solving versus Verifying: Catching Contradictions in Tax Reasoning Systemscited by 0
- 2026Decomposing LLM-Judge Uncertainty to Target Expert Labelscited by 0
- 2026Backbone-Adaptive Evidence Routing for Robust Pairwise LLM Judgingcited by 0
- 2026Certified Selective Automation of LLM Agent Evaluationcited by 0
- 2026Certified Selective Automation of LLM Agent Evaluation28 Sep 2026
- 2026Backbone-Adaptive Evidence Routing for Robust Pairwise LLM Judging25 Sep 2026
- 2026Decomposing LLM-Judge Uncertainty to Target Expert Labels6 Sep 2026
- 2026Solving versus Verifying: Catching Contradictions in Tax Reasoning Systems5 Sep 2026
- 2026Aggregate Disambiguation Systems31 Aug 2026
- 2026Multi-Expert Conformal Risk Control for Pairwise LLM Judging in Open-Ended Dialogue27 Aug 2026
- 2026Localize-Then-Decide Guarantees for LLM Judgments26 Aug 2026
- 2026Judge, Retrieve, or Abstain: Uncertainty-Guarded LLM Judging with Provable Risk Guarantees18 Aug 2026
- 2026Uncertainty quantification for trustworthy deep learning: Methods and measures30 Jul 2026
- 2026Share the Judge, Learn the Deferral: Where Specialization Helps LLM Evaluation30 Jul 2026
- 2026CARE: A Conformal Safety Layer for Medical Summarization8 Jun 2026
- 2026A Finite-Calibration Regime Map for LLM Judge Panels31 May 2026