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In this paper we review important aspects of semiparametric theory and empirical processes that arise in causal inference problems. We begin with a brief introduction to the general problem of causal inference, and go on to discuss…

统计理论 · 数学 2016-07-25 Edward H. Kennedy

Many methods have been proposed to estimate treatment effects with observational data. Often, the choice of the method considers the application's characteristics, such as type of treatment and outcome, confounding effect, and the…

机器学习 · 计算机科学 2022-05-20 Raquel Aoki , Martin Ester

Epidemic models describe the evolution of a communicable disease over time. These models are often modified to include the effects of interventions (control measures) such as vaccination, social distancing, school closings etc. Many such…

统计方法学 · 统计学 2026-01-27 Heejong Bong , Valérie Ventura , Larry Wasserman

The paper describes the use of Bayesian regression for building time series models and stacking different predictive models for time series. Using Bayesian regression for time series modeling with nonlinear trend was analyzed. This approach…

应用统计 · 统计学 2022-01-07 Bohdan M. Pavlyshenko

Inferring the effect of interventions within complex systems is a fundamental problem of statistics. A widely studied approach employs structural causal models that postulate noisy functional relations among a set of interacting variables.…

统计方法学 · 统计学 2024-02-14 David Strieder , Mathias Drton

In this position and problem pitch paper, we offer a solution to the reference class problem in causal inference. We apply the Reconcile algorithm for model multiplicity in machine learning to reconcile heterogeneous effects in causal…

机器学习 · 计算机科学 2024-06-12 Audrey Chang , Emily Diana , Alexander Williams Tolbert

Hierarchical models are versatile tools for joint modeling of data sets arising from different, but related, sources. Fully Bayesian inference may, however, become computationally prohibitive if the source-specific data models are complex,…

统计计算 · 统计学 2016-05-06 Ritabrata Dutta , Paul Blomstedt , Samuel Kaski

We wish to contribute to the discussion of "Comparing Consensus Monte Carlo Strategies for Distributed Bayesian Computation" by offering our views on the current best methods for Bayesian computation, both at big-data scale and with smaller…

统计计算 · 统计学 2017-12-15 David Draper , Alexander Terenin

In observational studies, the propensity score plays a central role in estimating causal effects of interest. The inverse probability weighting (IPW) estimator is commonly used for this purpose. However, if the propensity score model is…

统计方法学 · 统计学 2025-03-21 Shunichiro Orihara , Tomotaka Momozaki , Tomoyuki Nakagawa

We target the problem of accuracy and robustness in causal inference from finite data sets. Some state-of-the-art algorithms produce clear output complete with solid theoretical guarantees but are susceptible to propagating erroneous…

人工智能 · 计算机科学 2012-10-19 Tom Claassen , Tom Heskes

Causal inference (CI) in observational studies has received a lot of attention in healthcare, education, ad attribution, policy evaluation, etc. Confounding is a typical hazard, where the context affects both, the treatment assignment and…

统计方法学 · 统计学 2021-08-17 Ankit Sharma , Garima Gupta , Ranjitha Prasad , Arnab Chatterjee , Lovekesh Vig , Gautam Shroff

The imminent need to interpret the output of a Machine Learning model with counterfactual (CF) explanations - via small perturbations to the input - has been notable in the research community. Although the variety of CF examples is…

机器学习 · 计算机科学 2024-04-23 Kleopatra Markou , Dimitrios Tomaras , Vana Kalogeraki , Dimitrios Gunopulos

Inferences about hypotheses are ubiquitous in the cognitive sciences. Bayes factors provide one general way to compare different hypotheses by their compatibility with the observed data. Those quantifications can then also be used to choose…

Treatment effect estimation, which refers to the estimation of causal effects and aims to measure the strength of the causal relationship, is of great importance in many fields but is a challenging problem in practice. As present,…

机器学习 · 计算机科学 2021-07-20 Zhenyu Guo , Shuai Zheng , Zhizhe Liu , Kun Yan , Zhenfeng Zhu

We propose a formal model for counterfactual estimation with unobserved confounding in "data-rich" settings, i.e., where there are a large number of units and a large number of measurements per unit. Our model provides a bridge between the…

计量经济学 · 经济学 2025-04-03 Alberto Abadie , Anish Agarwal , Devavrat Shah

The research questions that motivate transportation safety studies are causal in nature. Safety researchers typically use observational data to answer such questions, but often without appropriate causal inference methodology. The field of…

应用统计 · 统计学 2011-07-26 Vishesh Karwa , Aleksandra B. Slavković , Eric T. Donnell

Modelling growth in student achievement is a significant challenge in the field of education. Understanding how interventions or experiences such as part-time work can influence this growth is also important. Traditional methods like…

机器学习 · 统计学 2024-07-17 Nathan McJames , Ann O'Shea , Andrew Parnell

Latent confounders---unobserved variables that influence both treatment and outcome---can bias estimates of causal effects. In some cases, these confounders are shared across observations, e.g. all students taking a course are influenced by…

统计方法学 · 统计学 2020-07-15 Sam Witty , Kenta Takatsu , David Jensen , Vikash Mansinghka

Practitioners making decisions based on causal effects typically ignore structural uncertainty. We analyze when this uncertainty is consequential enough to warrant methodological solutions (Bayesian model averaging over competing causal…

机器学习 · 计算机科学 2025-08-01 Maurits Kaptein

Bayesian approaches have become increasingly popular in causal inference problems due to their conceptual simplicity, excellent performance and in-built uncertainty quantification ('posterior credible sets'). We investigate Bayesian…

机器学习 · 统计学 2019-09-27 Kolyan Ray , Botond Szabo
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