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This paper proposes a multi-stage projection-based Lasso procedure for the semiparametric sample selection model in high-dimensional settings under a weak nonparametric restriction on the selection correction. In particular, the number of…

统计理论 · 数学 2014-11-13 Ying Zhu

We consider testing whether a set of Gaussian variables, selected from the data, is independent of the remaining variables. We assume that this set is selected via a very simple approach that is commonly used across scientific disciplines:…

统计方法学 · 统计学 2022-11-04 Arkajyoti Saha , Daniela Witten , Jacob Bien

Effect modification occurs when the effect of the treatment on an outcome differs according to the level of a third variable (the effect modifier, EM). A natural way to assess effect modification is by subgroup analysis or include the…

统计方法学 · 统计学 2021-12-22 Asma Bahamyirou , Mireille E. Schnitzer , Edward H. Kennedy , Lucie Blais , Yi Yang

We introduce a nonparametric prior on the conditional distribution of a (univariate or multivariate) response given a set of predictors. The prior is constructed in the form of a two-stage generative procedure, which in the first stage…

统计方法学 · 统计学 2017-03-16 Li Ma

We study the problem of variable selection in convex nonparametric regression. Under the assumption that the true regression function is convex and sparse, we develop a screening procedure to select a subset of variables that contains the…

统计理论 · 数学 2014-11-19 Min Xu , Minhua Chen , John Lafferty

Ising models describe the joint probability distribution of a vector of binary feature variables. Typically, not all the variables interact with each other and one is interested in learning the presumably sparse network structure of the…

机器学习 · 计算机科学 2019-07-09 Frank Nussbaum , Joachim Giesen

The construction of coherent prediction models holds great importance in medical research as such models enable health researchers to gain deeper insights into disease epidemiology and clinicians to identify patients at higher risk of…

We consider a nonparametric additive model of a conditional mean function in which the number of variables and additive components may be larger than the sample size but the number of nonzero additive components is "small" relative to the…

统计理论 · 数学 2010-10-21 Jian Huang , Joel L. Horowitz , Fengrong Wei

Lasso-type estimators are routinely used to estimate high-dimensional time series models. The theoretical guarantees established for these estimators typically require the penalty level to be chosen in a suitable fashion often depending on…

In this paper, we propose a propensity score adapted variable selection procedure to select covariates for inclusion in propensity score models, in order to eliminate confounding bias and improve statistical efficiency in observational…

统计方法学 · 统计学 2021-09-14 Kangjie Zhou , Jinzhu Jia

As an alternative to variable selection or shrinkage in high dimensional regression, we propose to randomly compress the predictors prior to analysis. This dramatically reduces storage and computational bottlenecks, performing well when the…

机器学习 · 统计学 2013-03-26 Rajarshi Guhaniyogi , David B. Dunson

Logistic regression is a widely used statistical model to describe the relationship between a binary response variable and predictor variables in data sets. It is often used in machine learning to identify important predictor variables.…

最优化与控制 · 数学 2021-12-30 Jérôme Darbon , Gabriel P. Langlois

Modern soil mapping is characterised by the need to interpolate samples of geostatistical response observations and the availability of relatively large numbers of environmental characteristics for consideration as covariates to aid this…

应用统计 · 统计学 2016-09-09 Benjamin R. Fitzpatrick , David W. Lamb , Kerrie Mengersen

Lasso is a celebrated method for variable selection in linear models, but it faces challenges when the variables are moderately or strongly correlated. This motivates alternative approaches such as using a non-convex penalty, adding a ridge…

统计理论 · 数学 2022-03-30 Zheng Tracy Ke , Longlin Wang

We propose a novel method for variable selection in functional linear concurrent regression. Our research is motivated by a fisheries footprint study where the goal is to identify important time-varying socio-structural drivers influencing…

应用统计 · 统计学 2019-11-01 Rahul Ghosal , Arnab Maity , Timothy Clark , Stefano B Longo

This paper investigates the problem of selecting variables in regression-type models for an "instrumental" setting. Our study is motivated by empirically verifying the conditional convergence hypothesis used in the economical literature…

统计理论 · 数学 2015-03-19 Mathilde Mougeot , Dominique Picard , Karine Tribouley

This paper proposes a new method and algorithm for predicting multivariate responses in a regression setting. Research into classification of High Dimension Low Sample Size (HDLSS) data, in particular microarray data, has made considerable…

统计方法学 · 统计学 2008-07-28 Inge Koch , Kanta Naito

Preprocessing data is an important step before any data analysis. In this paper, we focus on one particular aspect, namely scaling or normalization. We analyze various scaling methods in common use and study their effects on different…

机器学习 · 统计学 2017-09-05 Ting Li , Bingyi Jing , Ningchen Ying , Xianshi Yu

Additive isotonic regression attempts to determine the relationship between a multi-dimensional observation variable and a response, under the constraint that the estimate is the additive sum of univariate component effects that are…

统计方法学 · 统计学 2010-06-16 Zhou Fang , Nicolai Meinshausen

The method of instrumental variables provides a fundamental and practical tool for causal inference in many empirical studies where unmeasured confounding between the treatments and the outcome is present. Modern data such as the genetical…

统计方法学 · 统计学 2022-10-28 Ziang Niu , Yuwen Gu , Wei Li
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