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Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. While naturally cast as a combinatorial optimization problem, variable or feature selection admits a convex relaxation through the…

机器学习 · 计算机科学 2012-04-23 Francis Bach , Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski

Penalized estimation principle is fundamental to high-dimensional problems. In the literature, it has been extensively and successfully applied to various models with only structural parameters. As a contrast, in this paper, we apply this…

统计理论 · 数学 2017-08-03 Jianqing Fan , Runlong Tang , Xiaofeng Shi

We study the causal effect with a functional treatment variable, where practical applications often arise in neuroscience, biomedical sciences, etc. Previous research concerning the effect of a functional variable on an outcome is typically…

统计方法学 · 统计学 2025-05-20 Ruoxu Tan , Wei Huang , Zheng Zhang , Guosheng Yin

Functional principal component analysis has been shown to be invaluable for revealing variation modes of longitudinal outcomes, which serves as important building blocks for forecasting and model building. Decades of research have advanced…

统计方法学 · 统计学 2024-10-07 Peijun Sang , Dehan Kong , Shu Yang

When studying treatment effects in multilevel studies, investigators commonly use (semi-)parametric estimators, which make strong parametric assumptions about the outcome, the treatment, and/or the correlation structure between study units…

统计方法学 · 统计学 2022-05-12 Chan Park , Hyunseung Kang

A reduced-rank mixed effects model is developed for robust modeling of sparsely observed paired functional data. In this model, the curves for each functional variable are summarized using a few functional principal components, and the…

统计方法学 · 统计学 2023-08-08 Huiya Zhou , Xiaomeng Yan , Lan Zhou

In responding to rating questions, an individual may give answers either according to his/her knowledge/awareness or to his/her level of indecision/uncertainty, typically driven by a response style. As ignoring this dual behaviour may lead…

统计方法学 · 统计学 2021-04-08 Roberto Colombi , Sabrina Giordano , Anna Gottard , Maria Iannario

Many studies collect functional data from multiple subjects that have both multilevel and multivariate structures. An example of such data comes from popular neuroscience experiments where participants' brain activity is recorded using…

统计方法学 · 统计学 2019-09-19 Jun Zhang , Greg J Siegle , Wendy D'Andrea , Robert T Krafty

This paper presents a distributed communication model to investigate multistable perception, where a stimulus gives rise to multiple competing perceptual interpretations. We formalize stable perception as consensus achieved through…

计算机科学与博弈论 · 计算机科学 2023-10-19 Yuqing Kong

We study variable selection (also called support recovery) in high-dimensional sparse linear regression when one has external information on which variables are likely to be associated with the response. Consistent recovery is only possible…

统计理论 · 数学 2026-02-16 Paul Rognon-Vael , David Rossell , Piotr Zwiernik

Doubly-stochastic point processes model the occurrence of events over a spatial domain as an inhomogeneous Poisson process conditioned on the realization of a random intensity function. They are flexible tools for capturing spatial…

统计方法学 · 统计学 2024-06-28 Si Cheng , Jon Wakefield , Ali Shojaie

Registration of multivariate functional data involves handling of both cross-component and cross-observation phase variations. Allowing for the two phase variations to be modelled as general diffeomorphic time warpings, in this work we…

统计方法学 · 统计学 2022-07-25 Xiaohan Guo , Sebastian Kurtek , Karthik Bharath

We introduce a method for aggregating many least squares estimator so that the resulting estimate has two properties: sparsity and structure. That is, only a few candidate covariates are used in the resulting model, and the selected…

统计方法学 · 统计学 2011-11-22 Daniel Percival

We study the estimation of causal effects on group-level parameters identified from microdata (e.g., child penalties). We demonstrate that standard one-step methods (such as pooled OLS and IV regressions) are generally inconsistent due to…

综合经济学 · 经济学 2026-01-13 Dmitry Arkhangelsky , Kazuharu Yanagimoto , Tom Zohar

The research described herewith is to re-visit the classical doubly robust estimation of average treatment effect by conducting a systematic study on the comparisons, in the sense of asymptotic efficiency, among all possible combinations of…

统计理论 · 数学 2020-06-01 Keli Guo , Chuyun Ye , Jun Fan , Lixing Zhu

The parameters of a neural network are naturally organized in groups, some of which might not contribute to its overall performance. To prune out unimportant groups of parameters, we can include some non-differentiable penalty to the…

机器学习 · 计算机科学 2023-01-06 Tristan Deleu , Yoshua Bengio

Clinical trials often evaluate multiple outcome variables to form a comprehensive picture of the effects of a new treatment. The resulting multidimensional insight contributes to clinically relevant and efficient decision-making about…

统计方法学 · 统计学 2023-08-14 X. M. Kavelaars , J. Mulder , M. C. Kaptein

We present and study semi-parametric estimators for the mean of functional outcomes in situations where some of these outcomes are missing and covariate information is available on all units. Assuming that the missingness mechanism depends…

统计理论 · 数学 2026-02-25 Xijia Liu , Kreske Felix Ecker , Lina Schelin , Xavier de Luna

Polarization issue is generally subject to ideological polarization and affective polarization. In particular, affective polarization usually accelerates the polarization process and transform social interactions into a zero-sum game. Yet,…

物理与社会 · 物理学 2023-04-27 Peng-Bi Cui

Sparse functional/longitudinal data have attracted widespread interest due to the prevalence of such data in social and life sciences. A prominent scenario where such data are routinely encountered are accelerated longitudinal studies,…

统计方法学 · 统计学 2024-06-24 Yidong Zhou , Hans-Georg Müller