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On Inductive Biases for Heterogeneous Treatment Effect Estimation (2106.03765v2)

Published 7 Jun 2021 in stat.ML and cs.LG

Abstract: We investigate how to exploit structural similarities of an individual's potential outcomes (POs) under different treatments to obtain better estimates of conditional average treatment effects in finite samples. Especially when it is unknown whether a treatment has an effect at all, it is natural to hypothesize that the POs are similar - yet, some existing strategies for treatment effect estimation employ regularization schemes that implicitly encourage heterogeneity even when it does not exist and fail to fully make use of shared structure. In this paper, we investigate and compare three end-to-end learning strategies to overcome this problem - based on regularization, reparametrization and a flexible multi-task architecture - each encoding inductive bias favoring shared behavior across POs. To build understanding of their relative strengths, we implement all strategies using neural networks and conduct a wide range of semi-synthetic experiments. We observe that all three approaches can lead to substantial improvements upon numerous baselines and gain insight into performance differences across various experimental settings.

Citations (70)

Summary

  • The paper introduces three novel end-to-end strategies that leverage inductive biases to improve CATE estimation by modeling shared structures between potential outcomes.
  • The soft approach uses regularization to encourage similarity, providing a simple yet effective adjustment with noticeable performance gains in experiments.
  • FlexTENet, a flexible multi-task architecture, adapts feature sharing between tasks, offering robust performance across various structural conditions in semi-synthetic evaluations.

Inductive Biases in Heterogeneous Treatment Effect Estimation

The paper "On Inductive Biases for Heterogeneous Treatment Effect Estimation" by Alicia Curth and Mihaela van der Schaar addresses the problem of estimating conditional average treatment effects (CATE), particularly in settings where structural similarities between potential outcomes (POs) under different treatment conditions might provide useful inductive biases. This work is grounded in the potential outcomes framework, a standard model in causal inference, and operates under the assumptions necessary for causal identification.

The authors highlight a limitation in several existing approaches to CATE estimation — namely, that they often apply regularization techniques encouraging heterogeneity even when it might not exist, thereby failing to exploit shared structures across POs. They propose three end-to-end learning strategies designed to incorporate inductive biases that favor shared behavior between POs. These strategies are: a soft approach employing regularization, a hard approach leveraging reparametrization, and a flexible multi-task learning architecture called FlexTENet. Each aims to improve the accuracy of CATE estimations by embedding the assumption that POs share significant structural similarities and that the complexity of the treatment effect might be substantially less than that of the individual potential outcomes.

Empirical evaluations are conducted using neural networks across a variety of semi-synthetic experiments. The experiments stress-test these approaches against various baselines and under diverse structural conditions. The primary findings indicate that these methods can improve upon the baselines significantly, especially in cases of strong structural similarity between the potential outcome functions.

The soft approach, using regularization to encourage similarity between POs, presents an easily implementable yet effective adjustment to existing models. Despite its simplicity, it often results in noticeable improvements. In contrast, the hard approach, which reparametrizes POs with explicit modeling of similarity through a constrained architecture, allows for a more direct incorporation of the assumptions about PO structure but might struggle in cases where the assumed parametric form of similarity is inaccurate.

The flexible approach, FlexTENet, emerges as the most adaptive solution, allowing the model to automatically determine which features to share between tasks at different network layers. This adaptability results in strong average performance, adequately capturing both shared and individualized structure across POs, although it requires more training data in cases of very simple treatment effects.

In considering theoretical and practical implications, these results suggest that inductive biases for shared structure in POs can be a potent factor in improving the reliability of CATE estimates. These findings could influence future applications in personalized medicine and other fields where heterogeneous treatment effects are crucial. Furthermore, this paper opens avenues for further exploration into the target-specific design of machine learning models, encouraging more granular control over the regularization and specification of models used in causal inference.

The paper might inspire future work to investigate whether these inductive biases extend beyond neural networks to other machine learning frameworks, enhancing their performance in similar tasks. Additionally, theoretical work on adapting multi-task learning theory to treatment effect estimation could be an impactful area for future research, addressing the unique challenges found in causal inference as opposed to general predictive modeling.

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