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We propose a method for testing whether hierarchically ordered groups of potentially correlated variables are significant for explaining a response in a high-dimensional linear model. In presence of highly correlated variables, as is very…

统计理论 · 数学 2014-09-04 Jacopo Mandozzi , Peter Bühlmann

Data clustering involves identifying latent similarities within a dataset and organizing them into clusters or groups. The outcomes of various clustering algorithms differ as they are susceptible to the intrinsic characteristics of the…

机器学习 · 计算机科学 2024-07-31 Bryar A. Hassan , Noor Bahjat Tayfor , Alla A. Hassan , Aram M. Ahmed , Tarik A. Rashid , Naz N. Abdalla

Instrumental variable (IV) regression can be approached through its formulation in terms of conditional moment restrictions (CMR). Building on variants of the generalized method of moments, most CMR estimators are implicitly based on…

机器学习 · 计算机科学 2024-05-21 Heiner Kremer , Bernhard Schölkopf

Instrumental variable (IV) methods are central to causal inference from observational data, particularly when a randomized experiment is not feasible. However, of the three conventional core IV identification conditions, only one, IV…

统计方法学 · 统计学 2025-09-23 Zhonghua Liu , Baoluo Sun , Ting Ye , David Richardson , Eric Tchetgen Tchetgen

Bayesian hierarchical linear models provide a natural framework to analyze nested and clustered data. Classical estimation with Markov chain Monte Carlo produces well calibrated posterior distributions but becomes computationally expensive…

统计方法学 · 统计学 2025-12-16 Cristian Parra-Aldana , Juan Sosa

Mendelian randomization (MR) considers using genetic variants as instrumental variables (IVs) to infer causal effects in observational studies. However, the validity of causal inference in MR can be compromised when the IVs are potentially…

统计方法学 · 统计学 2024-02-06 Ziya Xu , Sai Li

Unobserved spatial confounding variables are prevalent in environmental and ecological applications where the system under study is complex and the data are often observational. Instrumental variables (IVs) are a common way to address…

统计方法学 · 统计学 2021-03-02 Andrew Giffin , Brian J. Reich , Shu Yang , Ana G. Rappold

Causal inference is the process of using assumptions, study designs, and estimation strategies to draw conclusions about the causal relationships between variables based on data. This allows researchers to better understand the underlying…

机器学习 · 计算机科学 2022-12-13 Anpeng Wu , Kun Kuang , Ruoxuan Xiong , Fei Wu

Cluster analysis requires many decisions: the clustering method and the implied reference model, the number of clusters and, often, several hyper-parameters and algorithms' tunings. In practice, one produces several partitions, and a final…

机器学习 · 统计学 2023-08-14 Luca Coraggio , Pietro Coretto

Estimating the causal effect of an exposure on an outcome is an important task in many economical and biological studies. Mendelian randomization, in particular, uses genetic variants as instruments to estimate causal effects in…

统计方法学 · 统计学 2017-06-06 Sai Li

Hierarchical clustering based on pairwise similarities is a common tool used in a broad range of scientific applications. However, in many problems it may be expensive to obtain or compute similarities between the items to be clustered.…

信息论 · 计算机科学 2015-03-19 Brian Eriksson , Gautam Dasarathy , Aarti Singh , Robert Nowak

Finding a set of nested partitions of a dataset is useful to uncover relevant structure at different scales, and is often dealt with a data-dependent methodology. In this paper, we introduce a general two-step methodology for model-based…

统计计算 · 统计学 2021-04-22 Etienne Côme , Nicolas Jouvin , Pierre Latouche , Charles Bouveyron

In this study, we consider unsupervised clustering of categorical vectors that can be of different size using mixture. We use likelihood maximization to estimate the parameters of the underlying mixture model and a penalization technique to…

统计理论 · 数学 2017-09-08 Esther Derman , Erwan Le Pennec

Instrumental variable (IV) analyses are becoming common in health services research and epidemiology. IV analyses can be used both to analyze randomized trials with noncompliance and as a form of natural experiment. In these analyses,…

The method of instrumental variables (IV) provides a framework to study causal effects in both randomized experiments with noncompliance and in observational studies where natural circumstances produce as-if random nudges to accept…

统计方法学 · 统计学 2018-02-07 Hyunseung Kang , Laura Peck , Luke Keele

Relevant methods of variable selection have been proposed in model-based clustering and classification. These methods are making use of backward or forward procedures to define the roles of the variables. Unfortunately, these stepwise…

统计计算 · 统计学 2017-05-03 Gilles Celeux , Cathy Maugis-Rabusseau , Mohammed Sedki

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

机器学习 · 计算机科学 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

We show that first-difference two-stages-least-squares regressions identify non-convex combinations of location-and-period-specific treatment effects. Thus, those regressions could be biased if effects are heterogeneous. We propose an…

计量经济学 · 经济学 2023-09-21 Clément de Chaisemartin , Ziteng Lei

Instrumental variables (IV) regression is a popular method for the estimation of the endogenous treatment effects. Conventional IV methods require all the instruments are relevant and valid. However, this is impractical especially in…

计量经济学 · 经济学 2020-06-29 Qingliang Fan , Yaqian Wu

We develop and analyze algorithms for instrumental variable regression by viewing the problem as a conditional stochastic optimization problem. In the context of least-squares instrumental variable regression, our algorithms neither require…

机器学习 · 统计学 2024-05-31 Xuxing Chen , Abhishek Roy , Yifan Hu , Krishnakumar Balasubramanian