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This paper focuses on variable selection for a partially linear single-index varying-coefficient model. A regularized variable selection procedure by combining basis function approximations with SCAD penalty is proposed. It can…

统计理论 · 数学 2024-12-19 Lijuan Han , Liugen Xue , Junshan Xie

Competition-based approach to controlling the false discovery rate (FDR) recently rose to prominence when, generalizing it to sequential hypothesis testing, Barber and Cand\`es used it as part of their knockoff-filter. Control of the FDR…

统计方法学 · 统计学 2023-02-24 Arya Ebadi , Dong Luo , Jack Freestone , William Stafford Noble , Uri Keich

In variable or graph selection problems, finding a right-sized model or controlling the number of false positives is notoriously difficult. Recently, a meta-algorithm called Stability Selection was proposed that can provide reliable…

机器学习 · 统计学 2017-12-14 George Philipp , Seunghak Lee , Eric P. Xing

The complexity of deep neural networks (DNNs) makes them powerful but also makes them challenging to interpret, hindering their applicability in error-intolerant domains. Existing methods attempt to reason about the internal mechanism of…

机器学习 · 计算机科学 2023-09-28 Winston Chen , William Stafford Noble , Yang Young Lu

There has been recent interest in extending the ideas of False Discovery Rates (FDR) to variable selection in regression settings. Traditionally the FDR in these settings has been defined in terms of the coefficients of the full regression…

统计方法学 · 统计学 2013-02-12 Max Grazier G'Sell , Trevor Hastie , Robert Tibshirani

Forward regression is a crucial methodology for automatically identifying important predictors from a large pool of potential covariates. In contexts with moderate predictor correlation, forward selection techniques can achieve screening…

统计方法学 · 统计学 2024-08-23 Xuejun Jiang , Yue Ma , Haofeng Wang

Variable selection on the large-scale networks has been extensively studied in the literature. While most of the existing methods are limited to the local functionals especially the graph edges, this paper focuses on selecting the discrete…

统计方法学 · 统计学 2023-09-18 Lu Zhang , Junwei Lu

Controlling false discovery rate (FDR) while leveraging the side information of multiple hypothesis testing is an emerging research topic in modern data science. Existing methods rely on the test-level covariates while ignoring possible…

机器学习 · 统计学 2021-01-26 Lin Qiu , Nils Murrugarra-Llerena , Vítor Silva , Lin Lin , Vernon M. Chinchilli

This paper proposes a reliable neural network pruning algorithm by setting up a scientific control. Existing pruning methods have developed various hypotheses to approximate the importance of filters to the network and then execute filter…

计算机视觉与模式识别 · 计算机科学 2021-01-12 Yehui Tang , Yunhe Wang , Yixing Xu , Dacheng Tao , Chunjing Xu , Chao Xu , Chang Xu

We propose a general framework based on selectively traversed accumulation rules (STAR) for interactive multiple testing with generic structural constraints on the rejection set. It combines accumulation tests from ordered multiple testing…

统计方法学 · 统计学 2020-09-08 Lihua Lei , Aaditya Ramdas , William Fithian

Let $X=(X_1,\ldots,X_p)$ be a $p$-variate random vector and $F$ a fixed finite set. In a number of applications, mainly in genetics, it turns out that $X_i\in F$ for each $i=1,\ldots,p$. Despite the latter fact, to obtain a knockoff…

统计理论 · 数学 2024-10-15 Emanuela Dreassi , Luca Pratelli , Pietro Rigo

One challenge in exploratory association studies using observational data is that the associations between the predictors and the outcome are potentially weak and rare, and the candidate predictors have complex correlation structures. False…

统计方法学 · 统计学 2025-01-30 Runqiu Wang , Ran Dai , Hongying Dai , Evan French , Cheng Zheng

Multiple comparisons in hypothesis testing often encounter structural constraints in various applications. For instance, in structural Magnetic Resonance Imaging for Alzheimer's Disease, the focus extends beyond examining atrophic brain…

统计方法学 · 统计学 2023-11-08 Yang Cao , Xinwei Sun , Yuan Yao

We extend the knockoffs method for selecting predictors to clustered data (cross-sectional or repeated measures). In the setting of clustered data, variable selection is complex because some predictors are measured at the observation level…

统计方法学 · 统计学 2026-02-24 Silvia Bacci , Leonardo Grilli , Carla Rampichini

Functional linear regression is a useful extension of simple linear regression and has been investigated by many researchers. However, functional variable selection problems when multiple functional observations exist, which is the…

统计方法学 · 统计学 2011-08-22 Heng Lian

We introduce tools for controlled variable selection to economists. In particular, we apply a recently introduced aggregation scheme for false discovery rate (FDR) control to German administrative data to determine the parts of the…

计量经济学 · 经济学 2020-06-24 Sophie-Charlotte Klose , Johannes Lederer

We consider the problem of variable selection in regression models. In particular, we are interested in selecting explanatory covariates linked with the response variable and we want to determine which covariates are relevant, that is which…

统计方法学 · 统计学 2019-07-09 Anne Gégout-Petit , Aurélie Gueudin-Muller , Clémence Karmann

Simultaneously performing variable selection and inference in high-dimensional models is an open challenge in statistics and machine learning. The increasing availability of vast amounts of variables requires the adoption of specific…

统计方法学 · 统计学 2025-10-02 Marco Molinari , Magne Thoresen

This paper explores the multiple testing problem for sparse high-dimensional data with binary outcomes. We propose novel empirical Bayes multiple testing procedures based on a spike-and-slab posterior and then evaluate their performance in…

统计理论 · 数学 2025-06-16 Yu-Chien Bo Ning

The selective frequency damping (SFD) method is an alternative to classical Newton's method to obtain unstable steady-state solutions of dynamical systems. However this method has two main limitations: it does not converge for arbitrary…

流体动力学 · 物理学 2015-10-28 Bastien E. Jordi , Colin J. Cotter , Spencer J. Sherwin