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The applications of traditional statistical feature selection methods to high-dimension, low sample-size data often struggle and encounter challenging problems, such as overfitting, curse of dimensionality, computational infeasibility, and…

机器学习 · 统计学 2023-12-19 Kexuan Li , Fangfang Wang , Lingli Yang , Ruiqi Liu

This paper studies simultaneous feature selection and extraction in supervised and unsupervised learning. We propose and investigate selective reduced rank regression for constructing optimal explanatory factors from a parsimonious subset…

统计方法学 · 统计学 2016-10-27 Yiyuan She

Data reduction is a fundamental challenge of modern technology, where classical statistical methods are not applicable because of computational limitations. We consider multiple linear regression for an extraordinarily large number of…

统计方法学 · 统计学 2025-05-30 Torsten Glemser , Rainer Schwabe

Automatic data augmentation (AutoDA) plays an important role in enhancing the generalization of neural networks. However, mainstream AutoDA methods often encounter two challenges: either the search process is excessively time-consuming,…

计算机视觉与模式识别 · 计算机科学 2025-08-12 Anqi Xiao , Weichen Yu , Hongyuan Yu

Wireless signal recognition (WSR) is crucial in modern and future wireless communication networks since it aims to identify properties of the received signal. Although many deep learning-based WSR models have been developed, they still rely…

信号处理 · 电气工程与系统科学 2024-04-04 Hao Zhang , Fuhui Zhou , Qihui Wu , Naofal Al-Dhahir

Ensemble models often improve generalization performances in challenging tasks. Yet, traditional techniques based on prediction averaging incur three well-known disadvantages: the computational overhead of training multiple models,…

机器学习 · 计算机科学 2024-06-28 Caglar Demir , Arnab Sharma , Axel-Cyrille Ngonga Ngomo

We develop a new class of distribution--free multiple testing rules for false discovery rate (FDR) control under general dependence. A key element in our proposal is a symmetrized data aggregation (SDA) approach to incorporating the…

统计方法学 · 统计学 2021-05-27 Lilun Du , Xu Guo , Wenguang Sun , Changliang Zou

For very large datasets, random projections (RP) have become the tool of choice for dimensionality reduction. This is due to the computational complexity of principal component analysis. However, the recent development of randomized…

机器学习 · 统计学 2019-01-04 Michael Wojnowicz , Di Zhang , Glenn Chisholm , Xuan Zhao , Matt Wolff

We propose a new approach to safe variable preselection in high-dimensional penalized regression, such as the lasso. Preselection - to start with a manageable set of covariates - has often been implemented without clear appreciation of its…

Subsampling from a large data set is useful in many supervised learning contexts to provide a global view of the data based on only a fraction of the observations. Diverse (or space-filling) subsampling is an appealing subsampling approach…

统计方法学 · 统计学 2023-11-27 Boyang Shang , Daniel W. Apley , Sanjay Mehrotra

Feature extraction is a method of capturing visual content of an image. The feature extraction is the process to represent raw image in its reduced form to facilitate decision making such as pattern classification. We have tried to address…

计算机视觉与模式识别 · 计算机科学 2012-08-13 V. P. Gladis Pushpa Rathi , S. Palani

Penalized regression methods are an attractive tool for high-dimensional data analysis, but their widespread adoption has been hampered by the difficulty of applying inferential tools. In particular, the question "How reliable is the…

统计理论 · 数学 2026-05-13 Patrick Breheny

The progressive hedging algorithm (PHA) is a cornerstone among algorithms for large-scale stochastic programming problems. However, its traditional implementation is hindered by some limitations, including the requirement to solve all…

最优化与控制 · 数学 2025-03-13 Di Zhang , Yihang Zhang , Suvrajeet Sen

Subsampling is an efficient method to deal with massive data. In this paper, we investigate the optimal subsampling for linear quantile regression when the covariates are functions. The asymptotic distribution of the subsampling estimator…

数值分析 · 数学 2022-05-06 Qian Yan , Hanyu Li , Chengmei Niu

Breast cancer is not preventable because of its unknown causes. However, its early diagnosis increases patients' recovery chances. Machine learning (ML) can be utilized to improve treatment outcomes in healthcare operations while…

机器学习 · 计算机科学 2024-08-09 Kamyab Karimi , Ali Ghodratnama , Reza Tavakkoli-Moghaddam

The purpose of sufficient dimension reduction (SDR) is to find the low-dimensional subspace of input features that is sufficient for predicting output values. In this paper, we propose a novel distribution-free SDR method called sufficient…

机器学习 · 统计学 2011-03-28 Makoto Yamada , Gang Niu , Jun Takagi , Masashi Sugiyama

The challenges in feature selection, particularly in balancing model accuracy, interpretability, and computational efficiency, remain a critical issue in advancing machine learning methodologies. To address these complexities, this study…

机器学习 · 计算机科学 2026-01-06 Nachiket Kapure , Harsh Joshi , Parul Kumari , Rajeshwari Mistri , Manasi Mali

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…

统计方法学 · 统计学 2013-09-25 Heng Lian , Shujie Ma

Subsampling techniques can reduce the computational costs of processing big data. Practical subsampling plans typically involve initial uniform sampling and refined sampling. With a subsample, big data inferences are generally built on the…

统计方法学 · 统计学 2022-09-13 Yan Fan , Yang Liu , Yukun Liu , Jing Qin

The dramatic growth of big datasets presents a new challenge to data storage and analysis. Data reduction, or subsampling, that extracts useful information from datasets is a crucial step in big data analysis. We propose an orthogonal…

统计方法学 · 统计学 2021-06-01 Lin Wang , Jake Elmstedt , Weng Kee Wong , Hongquan Xu