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Variable selection, also known as feature selection in machine learning, plays an important role in modeling high dimensional data and is key to data-driven scientific discoveries. We consider here the problem of detecting influential…

Methodology · Statistics 2014-09-24 Bo Jiang , Jun S. Liu

Treatment effect estimation is a fundamental problem in causal inference. We focus on designing efficient randomized controlled trials, to accurately estimate the effect of some treatment on a population of $n$ individuals. In particular,…

Machine Learning · Computer Science 2022-10-14 Raghavendra Addanki , David Arbour , Tung Mai , Cameron Musco , Anup Rao

Selectivity estimation - the problem of estimating the result size of queries - is a fundamental problem in databases. Accurate estimation of query selectivity involving multiple correlated attributes is especially challenging. Poor…

Databases · Computer Science 2019-06-19 Shohedul Hasan , Saravanan Thirumuruganathan , Jees Augustine , Nick Koudas , Gautam Das

The large-scale multiple testing inherent to high throughput biological data necessitates very high statistical stringency and thus true effects in data are difficult to detect unless they have high effect sizes. One solution to this…

Methodology · Statistics 2017-12-21 Mohamad S. Hasan

This work studies the theoretical rules of feature selection in linear discriminant analysis (LDA), and a new feature selection method is proposed for sparse linear discriminant analysis. An $l_1$ minimization method is used to select the…

Methodology · Statistics 2013-04-23 Cheng Wang , Longbing Cao , Baiqi Miao

Big data applications, such as medical imaging and genetics, typically generate datasets that consist of few observations n on many more variables p, a scenario that we denote as p>>n. Traditional data processing methods are often…

Data Analysis, Statistics and Probability · Physics 2016-05-18 Magnus O. Ulfarsson , Frosti Palsson , Jakob Sigurdsson , Johannes R. Sveinsson

In this paper, we propose a new variant of Linear Discriminant Analysis (LDA) to solve multi-label classification tasks. The proposed method is based on a probabilistic model for defining the weights of individual samples in a weighted…

Machine Learning · Computer Science 2020-04-10 Lei Xu , Jenni Raitoharju , Alexandros Iosifidis , Moncef Gabbouj

Measurement error is a pervasive challenge across many disciplines, yet its impact on sample size determination and the accuracy and precision of estimators regarding the association between an exposure and an outcome remains understudied…

Methodology · Statistics 2025-05-27 Honghyok Kim

As data sets continue to grow in size and complexity, effective and efficient techniques are needed to target important features in the variable space. Many of the variable selection techniques that are commonly used alongside clustering…

Computation · Statistics 2013-03-22 Jeffrey L. Andrews , Paul D. McNicholas

This paper is concerned with the selection and estimation of fixed and random effects in linear mixed effects models. We propose a class of nonconcave penalized profile likelihood methods for selecting and estimating important fixed…

Statistics Theory · Mathematics 2012-11-05 Yingying Fan , Runze Li

High dimensional statistical problems arise from diverse fields of scientific research and technological development. Variable selection plays a pivotal role in contemporary statistical learning and scientific discoveries. The traditional…

Statistics Theory · Mathematics 2009-10-08 Jianqing Fan , Jinchi Lv

When evaluating the efficacy of social programs and medical treatments using randomized experiments, the estimated overall average causal effect alone is often of limited value and the researchers must investigate when the treatments do and…

Applications · Statistics 2013-05-27 Kosuke Imai , Marc Ratkovic

Estimation of causal effects using machine learning methods has become an active research field in econometrics. In this paper, we study the finite sample performance of meta-learners for estimation of heterogeneous treatment effects under…

Econometrics · Economics 2022-02-01 Gabriel Okasa

Local variable selection aims to test for the effect of covariates on an outcome within specific regions. We outline a challenge that arises in the presence of non-linear effects and model misspecification. Specifically, for common…

Methodology · Statistics 2024-08-02 David Rossell , Arnold Kisuk Kseung , Ignacio Saez , Michele Guindani

At every phase of scientific research, scientists must decide how to allocate limited resources to pursue the research inquiries with the greatest potential. This prioritization dictates which controlled interventions are studied, awarded…

Methodology · Statistics 2022-10-11 Bruce A. Corliss , Yaotian Wang , Heman Shakeri , Philip E. Bourne

Scientific experiments study interventions that show evidence of an effect size that is meaningfully large, negligibly small, or inconclusively broad. Previously, we proposed contra-analysis as a decision-making process to help determine…

Methodology · Statistics 2023-03-17 Bruce A. Corliss , Yaotian Wang , Heman Shakeri , Philip E. Bourne

The difference-in-differences (DID) design is one of the most popular methods used in empirical economics research. However, there is almost no work examining what the DID method identifies in the presence of a misclassified treatment…

Econometrics · Economics 2026-05-01 Augustine Denteh , Désiré Kédagni

Selectivity estimation aims at estimating the number of database objects that satisfy a selection criterion. Answering this problem accurately and efficiently is essential to many applications, such as density estimation, outlier detection,…

Databases · Computer Science 2021-05-28 Yaoshu Wang , Chuan Xiao , Jianbin Qin , Rui Mao , Onizuka Makoto , Wei Wang , Rui Zhang , Yoshiharu Ishikawa

In genetic studies, not only can the number of predictors obtained from microarray measurements be extremely large, there can also be multiple response variables. Motivated by such a situation, we consider semiparametric dimension reduction…

Methodology · Statistics 2013-09-25 Heng Lian , Shujie Ma

Variable selection plays a fundamental role in high-dimensional data analysis. Various methods have been developed for variable selection in recent years. Well-known examples are forward stepwise regression (FSR) and least angle regression…

Methodology · Statistics 2018-02-01 Siliang Gong , Kai Zhang , Yufeng Liu