Conformal Individual Treatment Effect Estimation under Networked Interference

Matteo Zecchin, Osvaldo Simeone
9/14/2026
stat.MLcs.ITcs.LG

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Abstract

Conformal counterfactual prediction constructs prediction sets with finite-sample coverage guarantees for counterfactual outcomes and individual treatment effects under the no-interference assumption. In this work, we relax this assumption by allowing each unit's potential outcomes to depend on other units' treatments and covariates. In this setting, propensity-score reweighting does not restore weighted exchangeability, and existing methods may fail to achieve valid coverage. To address this issue, we develop interference-adjusted weighted conformal prediction that accounts for interference by constructing an observable upper bound on the ideal and unobserved conformal $p$-value under the target intervention. The resulting prediction sets provide finite-sample marginal coverage guarantees for counterfactual outcomes and individual treatment effects in both transductive and inductive settings. We also derive a sharper construction when intervention-induced changes in nonconformity scores are bounded. Numerical experiments show that our methods preserve nominal coverage, whereas existing methods may not.

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@article{zecchin2026conformal,
  title  = {Conformal Individual Treatment Effect Estimation under Networked Interference},
  author = {Matteo Zecchin and Osvaldo Simeone},
  year   = {2026},
  eprint = {2609.15254},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2609.15254v1}
}

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