Lars van der Laan

2024

1. Self-Consistent Conformal Prediction

   Lars van der Laan, and Ahmed M. Alaa

   arXiv preprint arXiv:2402.07307, stat.ML, 2024

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   In decision-making guided by machine learning, decision-makers often take identical actions in contexts with identical predicted outcomes. Conformal prediction helps decision-makers quantify outcome uncertainty for actions, allowing for better risk management. Inspired by this perspective, we introduce self-consistent conformal prediction, which yields both Venn-Abers calibrated predictions and conformal prediction intervals that are valid conditional on actions prompted by model predictions. Our procedure can be applied post-hoc to any black-box predictor to provide rigorous, action-specific decision-making guarantees. Numerical experiments show our approach strikes a balance between interval efficiency and conditional validity.

2. Combining T-learning and DR-learning: a framework for oracle-efficient estimation of causal contrasts

   Lars van der Laan, Marco Carone, and Alex Luedtke

   arXiv preprint arXiv:2402.01972, 2024

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   We introduce efficient plug-in (EP) learning, a novel framework for the estimation of heterogeneous causal contrasts, such as the conditional average treatment effect and conditional relative risk. The EP-learning framework enjoys the same oracle-efficiency as Neyman-orthogonal learning strategies, such as DR-learning and R-learning, while addressing some of their primary drawbacks, including that (i) their practical applicability can be hindered by loss function non-convexity; and (ii) they may suffer from poor performance and instability due to inverse probability weighting and pseudo-outcomes that violate bounds. To avoid these drawbacks, EP-learner constructs an efficient plug-in estimator of the population risk function for the causal contrast, thereby inheriting the stability and robustness properties of plug-in estimation strategies like T-learning. Under reasonable conditions, EP-learners based on empirical risk minimization are oracle-efficient, exhibiting asymptotic equivalence to the minimizer of an oracle-efficient one-step debiased estimator of the population risk function. In simulation experiments, we illustrate that EP-learners of the conditional average treatment effect and conditional relative risk outperform state-of-the-art competitors, including T-learner, R-learner, and DR-learner. Open-source implementations of the proposed methods are available in our R package hte3.

2023

1. Adaptive debiased machine learning using data-driven model selection techniques

   Lars van der Laan, Marco Carone, Alex Luedtke, and 1 more author

   arXiv preprint arXiv:2307.12544, 2023

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   Debiased machine learning estimators for nonparametric inference of smooth functionals of the data-generating distribution can suffer from excessive variability and instability. For this reason, practitioners may resort to simpler models based on parametric or semiparametric assumptions. However, such simplifying assumptions may fail to hold, and estimates may then be biased due to model misspecification. To address this problem, we propose Adaptive Debiased Machine Learning (ADML), a nonparametric framework that combines data-driven model selection and debiased machine learning techniques to construct asymptotically linear, adaptive, and superefficient estimators for pathwise differentiable functionals. By learning model structure directly from data, ADML avoids the bias introduced by model misspecification and remains free from the restrictions of parametric and semiparametric models. While they may exhibit irregular behavior for the target parameter in a nonparametric statistical model, we demonstrate that ADML estimators provides regular and locally uniformly valid inference for a projection-based oracle parameter. Importantly, this oracle parameter agrees with the original target parameter for distributions within an unknown but correctly specified oracle statistical submodel that is learned from the data. This finding implies that there is no penalty, in a local asymptotic sense, for conducting data-driven model selection compared to having prior knowledge of the oracle submodel and oracle parameter. To demonstrate the practical applicability of our theory, we provide a broad class of ADML estimators for estimating the average treatment effect in adaptive partially linear regression models.

2. Causal isotonic calibration for heterogeneous treatment effects

   Lars van der Laan, Ernesto Ulloa-Pérez, Marco Carone, and 1 more author

   In Proceedings of the 40th International Conference on Machine Learning (ICML), 2023

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   We propose causal isotonic calibration, a novel nonparametric method for calibrating predictors of heterogeneous treatment effects. Furthermore, we introduce cross-calibration, a data-efficient variant of calibration that eliminates the need for hold-out calibration sets. Cross-calibration leverages cross-fitted predictors and generates a single calibrated predictor using all available data. Under weak conditions that do not assume monotonicity, we establish that both causal isotonic calibration and cross-calibration achieve fast doubly-robust calibration rates, as long as either the propensity score or outcome regression is estimated accurately in a suitable sense. The proposed causal isotonic calibrator can be wrapped around any black-box learning algorithm, providing robust and distribution-free calibration guarantees while preserving predictive performance.

2022

1. hal9001: The scalable highly adaptive lasso

   Jeremy R Coyle, Nima S Hejazi, Rachael V Phillips, and 2 more authors

   2022

   R package version 0.4.2

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