Per-Step Conformal Calibration Does Not Transfer to Agent Trajectories

Li Ning, Yang Liu, Dongxin Guo, Yu Wu, SM Yiu, Jikun Wu


Abstract
Conformal prediction supplies finite-sample coverage guarantees for individual language-model responses. We show that per-step conformal calibration need not preserve this guarantee along a multi-step agent trajectory: at a nominal miscoverage level of 10%, per-step split conformal delivers 83.5% trajectory score-threshold miscoverage on a fifteen-step web-navigation agent, and we prove lower bounds in three regimes of agent dynamics: i.i.d. resampling, memoryless covariate shift, and state-dependent Markov transitions. The i.i.d. regime alone accounts for the bulk of the empirical gap; the third regime, novel to this work, gives, to our knowledge, the first separation of the trajectory union event from i.i.d. resampling under marginal-stationary, non-trivial Markov dynamics, a setting in which prior marginal-drift analyses are silent. The separation persists under exact score stationarity and, for non-degenerate score laws, holds at any calibration sample size up to an O(T/sqrt(n)) finite-sample slack. A polynomial alpha-spending schedule restores end-to-end coverage to within 1.1 points of nominal across five agentic-NLP benchmarks and, by direct substitution, lifts process-reward-model step verifiers – which on their own miscover trajectories at 31.5-62.5% – to 9.6-10.6%, near the nominal target.
Anthology ID:
2026.emnlp-main.1808
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
41197–41215
Language:
URL:
https://aclanthology.org/2026.emnlp-main.1808/
DOI:
Bibkey:
Cite (ACL):
Li Ning, Yang Liu, Dongxin Guo, Yu Wu, SM Yiu, and Jikun Wu. 2026. Per-Step Conformal Calibration Does Not Transfer to Agent Trajectories. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 41197–41215, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Per-Step Conformal Calibration Does Not Transfer to Agent Trajectories (Ning et al., EMNLP 2026)
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PDF:
https://aclanthology.org/2026.emnlp-main.1808.pdf