@inproceedings{ning-etal-2026-per,
title = "Per-Step Conformal Calibration Does Not Transfer to Agent Trajectories",
author = "Ning, Li and
Liu, Yang and
Guo, Dongxin and
Wu, Yu and
Yiu, SM and
Wu, Jikun",
editor = "Lee, Hung-Yi and
Dev, Sunipa and
Li, Jessy and
Elliott, Desmond",
booktitle = "Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing",
month = oct,
year = "2026",
address = "Budapest, Hungary",
publisher = "Association for Computational Linguistics",
url = "https://aclanthology.org/2026.emnlp-main.1808/",
pages = "41197--41215",
ISBN = "979-8-89176-459-0",
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."
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<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.</abstract>
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%0 Conference Proceedings
%T Per-Step Conformal Calibration Does Not Transfer to Agent Trajectories
%A Ning, Li
%A Liu, Yang
%A Guo, Dongxin
%A Wu, Yu
%A Yiu, S. M.
%A Wu, Jikun
%Y Lee, Hung-Yi
%Y Dev, Sunipa
%Y Li, Jessy
%Y Elliott, Desmond
%S Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
%D 2026
%8 October
%I Association for Computational Linguistics
%C Budapest, Hungary
%@ 979-8-89176-459-0
%F ning-etal-2026-per
%X 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.
%U https://aclanthology.org/2026.emnlp-main.1808/
%P 41197-41215
Markdown (Informal)
[Per-Step Conformal Calibration Does Not Transfer to Agent Trajectories](https://aclanthology.org/2026.emnlp-main.1808/) (Ning et al., EMNLP 2026)
ACL