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Heterogeneous Treatment Effect in Time-to-Event Outcomes: Harnessing Censored Data with Recursively Imputed Trees

ICML 2025 · Probabilistic and scientific modeling › Treatment effects · approach: Meta-learners and partial identification · 0 citations (OpenAlex)

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Proposes MISTR, a non-parametric HTE estimator for right-censored survival data that replaces censoring-model estimation with recursively imputed survival trees (RIST) and multiple imputation over causal forests, extended to instrumental variables as MISTR-IV.

Problem

Estimating heterogeneous treatment effects on time-to-event outcomes under heavy right-censoring and possible unobserved confounding, where existing IPCW-based and causal survival forest methods degrade or cannot use instrumental variables.

Approach

Impute censored event times multiple times using recursively imputed survival trees (no explicit censoring model), fit a causal forest on each completed dataset, and pool estimates with Rubin's rule; the IV variant swaps in an instrumental forest.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use MISTR instead of CSFHTE estimation on MIMIC semi-simulated data · MIMIC 1–4MSE: 8.741 -> 6.262; 6.532 -> 5.891; 5.632 -> 5.200; 5.349 -> 5.034Helped
Use MISTR instead of CSFHTE estimation on MIMIC semi-simulated data · MIMIC 5MSE: 5.474 -> 5.494No clear effect
Use MISTR-IV instead of IPCW-IVHTE estimation with unobserved confounding · IV settings 200, 200-a, 200-b, 201–204-bMAE: 26.28 -> 14.33; 31.50 -> 16.32; 42.46 -> 21.12; 35.84 -> 18.24; 33.27 -> 17.50; 27.70 -> 12.82; 32.10 -> 11.40; 36.19 ->Helped
Use MISTR instead of CSF under additional censoringHTE estimation on ACTG 175 · HIV-1, HIV-2, HIV-3 additional censoringMSE: 1.388 -> 1.207; 1.875 -> 1.209; 1.320 -> 0.777Helped
Increase censoring rateMISTR versus CSF on MIMIC semi-simulated data · MIMIC 1–5MSEMixed
Increase the number of imputationsMISTR · MIMIC 1–5MSEHelped

Surprising findings

Limitations

Experimental setup

Datasets: ACTG 175 MIMIC-IV 2.0 Illinois Unemployment Insurance Experiments synthetic simulation settings 1-10 and 200-204

Benchmarks: simulation settings 1-10 MIMIC semi-simulated settings IV simulation settings 200-204 ACTG 175 with additional censoring Illinois Unemployment Insurance

Metrics: MSE MAE SEM estimated SE

Baselines: Causal Survival Forest (CSF) IPCW IPCW-IV T-learner X-learner S-learner

Builds on: causal survival forest recursively imputed survival trees causal forest instrumental forest Rubin's rule

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