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This paper develops a framework for testing for associations in a possibly high-dimensional linear model where the number of features/variables may far exceed the number of observational units. In this framework, the observations are split…

统计方法学 · 统计学 2018-05-04 Rina Foygel Barber , Emmanuel J. Candes

Models with many signals, high-dimensional models, often impose structures on the signal strengths. The common assumption is that only a few signals are strong and most of the signals are zero or close (collectively) to zero. However, such…

统计方法学 · 统计学 2017-08-02 Yinchu Zhu , Jelena Bradic

Feature selection has remained a daunting challenge in machine learning and artificial intelligence, where increasingly complex, high-dimensional datasets demand principled strategies for isolating the most informative predictors. Despite…

机器学习 · 统计学 2025-12-02 Mousam Sinha , Tirtha Sarathi Ghosh , Ridam Pal

We address challenges in variable selection with highly correlated data that are frequently present in finance, economics, but also in complex natural systems as e.g. weather. We develop a robustified version of the knockoff framework,…

计量经济学 · 经济学 2022-06-14 Konstantin Görgen , Abdolreza Nazemi , Melanie Schienle

Controlling the False Discovery Rate (FDR) in a variable selection procedure is critical for reproducible discoveries, and it has been extensively studied in sparse linear models. However, it remains largely open in scenarios where the…

统计方法学 · 统计学 2023-11-16 Yang Cao , Xinwei Sun , Yuan Yao

Deep learning is a broad set of techniques that uses multiple layers of representation to automatically learn relevant features directly from structured data. Recently, such techniques have yielded record-breaking results on a diverse set…

机器学习 · 统计学 2014-10-16 Pankaj Mehta , David J. Schwab

Graph similarity is critical in graph-related tasks such as graph retrieval, where metrics like maximum common subgraph (MCS) and graph edit distance (GED) are commonly used. However, exact computations of these metrics are known to be…

机器学习 · 计算机科学 2025-10-02 Zhouyang Liu , Yixin Chen , Ning Liu , Jiezhong He , Dongsheng Li

Deep neural networks have had an enormous impact on image analysis. State-of-the-art training methods, based on weight decay and DropOut, result in impressive performance when a very large training set is available. However, they tend to…

机器学习 · 计算机科学 2019-09-02 Amal Rannen Triki , Matthew B. Blaschko

Low-rank sparse regression models have been widely adopted in face recognition due to their robustness against occlusion and illumination variations. However, existing methods often suffer from insufficient feature representation and…

计算机视觉与模式识别 · 计算机科学 2025-11-18 Hongxia Li , Ying Ji , Yongxin Dong , Yuehua Feng

We introduce DiffKnock, a diffusion-based knockoff framework for high-dimensional feature selection with finite-sample false discovery rate (FDR) control. DiffKnock addresses two key limitations of existing knockoff methods: preserving…

统计方法学 · 统计学 2025-10-03 Heng Ge , Qing Lu

Although there is a huge literature on feature selection for the Cox model, none of the existing approaches can control the false discovery rate (FDR) unless the sample size tends to infinity. In addition, there is no formal power analysis…

统计方法学 · 统计学 2023-08-02 Daoji Li , Jinzhao Yu , Hui Zhao

An important problem in machine learning and statistics is to identify features that causally affect the outcome. This is often impossible to do from purely observational data, and a natural relaxation is to identify features that are…

机器学习 · 统计学 2019-05-30 Jaime Roquero Gimenez , Amirata Ghorbani , James Zou

Feature selection and feature transformation, the two main ways to reduce dimensionality, are often presented separately. In this paper, a feature selection method is proposed by combining the popular transformation based dimensionality…

机器学习 · 计算机科学 2015-04-22 Hong Tao , Chenping Hou , Feiping Nie , Yuanyuan Jiao , Dongyun Yi

Under the framework of graph-based learning, the key to robust subspace clustering and subspace learning is to obtain a good similarity graph that eliminates the effects of errors and retains only connections between the data points from…

计算机视觉与模式识别 · 计算机科学 2017-05-17 Xi Peng , Zhiding Yu , Huajin Tang , Zhang Yi

The knockoff filter is a recent false discovery rate (FDR) control method for high-dimensional linear models. We point out that knockoff has three key components: ranking algorithm, augmented design, and symmetric statistic, and each…

统计理论 · 数学 2024-02-14 Zheng Tracy Ke , Jun S. Liu , Yucong Ma

Feature selection identifies subsets of informative features and reduces dimensions in the original feature space, helping provide insights into data generation or a variety of domain problems. Existing methods mainly depend on feature…

机器学习 · 计算机科学 2021-06-07 Xinxing Wu , Qiang Cheng

$1$-parameter persistent homology, a cornerstone in Topological Data Analysis (TDA), studies the evolution of topological features such as connected components and cycles hidden in data. It has been applied to enhance the representation…

机器学习 · 计算机科学 2023-07-03 Cheng Xin , Soham Mukherjee , Shreyas N. Samaga , Tamal K. Dey

We develop a flexible feature selection framework based on deep neural networks that approximately controls the false discovery rate (FDR), a measure of Type-I error. The method applies to architectures whose first layer is fully connected.…

机器学习 · 统计学 2026-02-10 Kazuma Sawaya

Sparse models for high-dimensional linear regression and machine learning have received substantial attention over the past two decades. Model selection, or determining which features or covariates are the best explanatory variables, is…

机器学习 · 统计学 2019-10-15 Yuan Li , Benjamin Mark , Garvesh Raskutti , Rebecca Willett , Hyebin Song , David Neiman

Estimating over-amplification of human epidermal growth factor receptor 2 (HER2) on invasive breast cancer (BC) is regarded as a significant predictive and prognostic marker. We propose a novel deep reinforcement learning (DRL) based model…

计算机视觉与模式识别 · 计算机科学 2019-03-27 Talha Qaiser , Nasir M. Rajpoot