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Distribution-Free Uncertainty Quantification for Continuous AI Agent Evaluation

Yuxuan Gao, Megan Wang, Yi Ling Yu

May 19, 2026arXiv:2605.19779v1
cs.AIcs.LG
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Scorecard· 5/16
6.0/10 impact

Abstract

We adapt split conformal prediction and adaptive conformal inference (ACI) to continuous AI agent evaluation, providing distribution-free coverage guarantees for forecasted quality scores. Conformal intervals achieve calibration error below 0.02 across all nominal levels at the 24h horizon, while ACI correctly widens intervals by 35% following agent releases then reconverges. We further develop compositional uncertainty bounds for multi-agent pipelines (validated via simulation across inter-stage correlations rho in [-0.5, 0.9]), a conformal abstention rule for pairwise rankings with controlled false-ranking rate, and FDR-corrected abstention for leaderboard-scale multiple testing. Evaluating 50 agents via 18 real-time signals collected hourly, we show that per-agent conditional coverage is well-concentrated around the nominal level (mean 80.4%, 90% of agents within [72%, 90%]), and that cross-source sentiment divergence predicts ranking instability (r=0.64, p<0.01). A circularity-controlled validation confirms the framework captures signal beyond benchmarks (rho_s=0.52, p<0.01, n=35). Code and data are released under CC BY 4.0.

AI Impact Assessments

(1 model)

Scientific Impact Assessment

1. Core Contribution

AgentPulse adapts established distribution-free uncertainty quantification methods—split conformal prediction, adaptive conformal inference (ACI), and Mondrian conformal prediction—to the domain of continuous AI agent evaluation. The paper addresses a genuine gap: current agent benchmarks (SWE-bench, GAIA, WebArena, Chatbot Arena) produce point estimates or bootstrap-based confidence intervals without finite-sample coverage guarantees. The main contributions are: (a) conformal prediction intervals for agent quality score forecasts, (b) ACI for handling distribution shifts from agent releases, (c) Mondrian conformal stratification by cross-source volatility, (d) compositional uncertainty bounds for multi-agent pipelines, and (e) FDR-controlled abstention for leaderboard-scale pairwise rankings.

The composite score itself (Equation 1) aggregates 18 signals across benchmarks, adoption, sentiment, and ecosystem health—a multi-source evaluation approach that is practical but somewhat ad hoc.

2. Methodological Rigor

Strengths in methodology:

  • The conformal prediction application is technically sound. Calibration error below 0.02 across nominal levels at 24h is a clean result (Figure 1). The comparison against parametric and bootstrap baselines is informative—bootstrap under-covers at 72h (74% vs. 80% nominal) while conformal maintains 79%.
  • The Mondrian conformal extension addressing conditional coverage failure is well-motivated. The improvement from 64.6% to 80.4% for volatile agents is substantial and practically meaningful.
  • ACI's 35% interval widening post-release with 48h reconvergence is a concrete demonstration of adaptivity.
  • The FDR-corrected abstention framework for leaderboard ranking is a thoughtful addition, reducing confident pairs from 69% to 50% at q=0.20.
  • Weaknesses:

  • The forecasting model (Equation 2) is a simple mean-reversion model with a single parameter λ=0.003. This is deliberately simple, but the conformal guarantees are only as useful as the underlying point forecasts are reasonable. The paper doesn't explore whether better forecasters would change the picture.
  • The compositional pipeline bounds are validated only via simulation, not on real multi-agent pipelines. The simulation design is straightforward (controlled ρ), and the known limitation under negative correlation is acknowledged but not resolved.
  • The composite score weights (0.35/0.25/0.20/0.20) are presented as a "starting-point allocation" with Dirichlet sensitivity analysis, but the choice remains somewhat arbitrary. The Dirichlet analysis (Section 5.2) shows robustness, but only at moderate concentration parameters.
  • n=50 agents is a reasonable evaluation set, but the n=11 ablation is acknowledged as underpowered (power=0.38). The circularity-controlled validation (n=35, ρ_s=0.52) is a good design choice but the effect size is moderate.
  • The cross-source sentiment divergence predicting ranking instability (r=0.64) is interesting but the causal mechanism is unclear—does divergence cause instability or simply reflect it?
  • 3. Potential Impact

    The paper addresses a real practical need. As AI agent evaluation becomes increasingly important for deployment decisions, quantifying uncertainty in rankings is valuable. Specific impact vectors:

  • Leaderboard design: The abstention framework could change how leaderboard operators present rankings, replacing deterministic orderings with uncertainty-aware displays.
  • Multi-agent system deployment: Compositional bounds, while preliminary, point toward principled uncertainty propagation in pipelines—relevant for production systems.
  • Evaluation methodology: Demonstrating that conformal prediction outperforms bootstrap under non-stationarity could shift evaluation practices away from resampling-based approaches.
  • However, the impact may be limited by the specificity of the application (agent evaluation) and the relatively incremental methodological advances (applying known conformal methods to a new domain rather than developing new theory).

    4. Timeliness & Relevance

    This paper is highly timely. The explosion of AI coding agents (Claude Code, Devin, Cursor, etc.) and the rapid pace of updates create exactly the non-stationary evaluation environment the paper addresses. The "uncertainty crisis" framing is apt—current leaderboards present rankings with false precision. The workshop venue (ICML 2026 Workshop on Agentic UQ) is a perfect fit.

    5. Strengths & Limitations

    Key Strengths:

  • Well-structured framework addressing multiple facets of uncertainty (measurement, model, temporal, compositional)
  • Distribution-free guarantees are genuinely valuable compared to parametric/bootstrap alternatives
  • Honest treatment of limitations (underpowered ablation, English-only NLP, closed-source agent gaps)
  • Code and data release under CC BY 4.0 supports reproducibility
  • The Mondrian stratification insight—that volatile agents need separate calibration—is practically important and likely generalizable
  • Notable Limitations:

  • The core technical contribution is application of existing methods (split conformal, ACI, Mondrian, BH correction) rather than new methodology. The novelty is in the combination and domain adaptation.
  • The composite score design is debatable—equal-ish weighting of benchmarks, adoption, sentiment, and ecosystem conflates very different quality dimensions
  • The mean-reversion forecasting model is simplistic; more sophisticated approaches might change the conformal interval characteristics
  • Real pipeline data for compositional bounds is missing
  • The claim that "cross-source sentiment divergence predicts ranking instability" (r=0.64) needs more careful causal analysis
  • Per-agent coverage analysis (Figure 3) shows 5 agents below 75%—these are precisely the agents where uncertainty matters most, partially undermining the practical value until Mondrian is applied
  • Overall Assessment:

    This is a solid workshop paper that identifies a real problem and provides a reasonable first solution by carefully combining existing UQ tools. The empirical evaluation is thorough for the scope, with appropriate baselines and honest reporting. The main limitation is that the methodological novelty is in application rather than theory—but the application is well-executed and timely. The framework could serve as a foundation for more sophisticated approaches (e.g., anytime-valid monitoring, better forecasters, real pipeline data).

    Rating:5.8/ 10
    Significance 6Rigor 6Novelty 4.5Clarity 7.5

    Generated May 20, 2026

    Comparison History (22)

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