Propensity Patchwork Kriging for Scalable Inference on Heterogeneous Treatment Effects

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Hauptverfasser: Ogawa, Hajime, Sugasawa, Shonosuke
Format: Preprint
Veröffentlicht: 2025
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author Ogawa, Hajime
Sugasawa, Shonosuke
author_facet Ogawa, Hajime
Sugasawa, Shonosuke
contents Gaussian process-based models are attractive for estimating heterogeneous treatment effects (HTE), but their computational cost limits scalability in causal inference settings. In this work, we address this challenge by extending Patchwork Kriging into the causal inference framework. Our proposed method partitions the data according to the estimated propensity score and applies Patchwork Kriging to enforce continuity of HTE estimates across adjacent regions. By imposing continuity constraints only along the propensity score dimension, rather than the full covariate space, the proposed approach substantially reduces computational cost while avoiding discontinuities inherent in simple local approximations. The resulting method can be interpreted as a smoothing extension of stratification and provides an efficient approach to HTE estimation. The proposed method is demonstrated through simulation studies and a real data application.
format Preprint
id arxiv_https___arxiv_org_abs_2512_23467
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Propensity Patchwork Kriging for Scalable Inference on Heterogeneous Treatment Effects
Ogawa, Hajime
Sugasawa, Shonosuke
Methodology
Gaussian process-based models are attractive for estimating heterogeneous treatment effects (HTE), but their computational cost limits scalability in causal inference settings. In this work, we address this challenge by extending Patchwork Kriging into the causal inference framework. Our proposed method partitions the data according to the estimated propensity score and applies Patchwork Kriging to enforce continuity of HTE estimates across adjacent regions. By imposing continuity constraints only along the propensity score dimension, rather than the full covariate space, the proposed approach substantially reduces computational cost while avoiding discontinuities inherent in simple local approximations. The resulting method can be interpreted as a smoothing extension of stratification and provides an efficient approach to HTE estimation. The proposed method is demonstrated through simulation studies and a real data application.
title Propensity Patchwork Kriging for Scalable Inference on Heterogeneous Treatment Effects
topic Methodology
url https://arxiv.org/abs/2512.23467