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The problem of selecting a handful of truly relevant variables in supervised machine learning algorithms is a challenging problem in terms of untestable assumptions that must hold and unavailability of theoretical assurances that selection…

统计方法学 · 统计学 2023-11-10 Mehdi Rostami , Olli Saarela

In the field of data mining, how to deal with high-dimensional data is an inevitable problem. Unsupervised feature selection has attracted more and more attention because it does not rely on labels. The performance of spectral-based…

机器学习 · 计算机科学 2021-01-01 Zhengxin Li , Feiping Nie , Jintang Bian , Xuelong Li

We revisit vertex discriminant analysis (VDA) from the perspective of proximal distance algorithms. By specifying sparsity sets as constraints that directly control the number of active features, VDA is able to fit multiclass classifiers…

统计计算 · 统计学 2022-03-22 Alfonso Landeros , Tong Tong Wu , Kenneth Lange

Feature selection (FS) is an important research topic in machine learning. Usually, FS is modelled as a+ bi-objective optimization problem whose objectives are: 1) classification accuracy; 2) number of features. One of the main issues in…

人工智能 · 计算机科学 2021-04-21 Yu Xue , Yihang Tang , Xin Xu , Jiayu Liang , Ferrante Neri

In recent years many sparse linear discriminant analysis methods have been proposed for high-dimensional classification and variable selection. However, most of these proposals focus on binary classification and they are not directly…

统计方法学 · 统计学 2015-04-23 Qing Mai , Yi Yang , Hui Zou

Estimating the generalization performance is practically challenging on out-of-distribution (OOD) data without ground-truth labels. While previous methods emphasize the connection between distribution difference and OOD accuracy, we show…

机器学习 · 计算机科学 2023-10-24 Renchunzi Xie , Hongxin Wei , Lei Feng , Yuzhou Cao , Bo An

Feature selection problems have been extensively studied for linear estimation, for instance, Lasso, but less emphasis has been placed on feature selection for non-linear functions. In this study, we propose a method for feature selection…

机器学习 · 计算机科学 2020-07-28 Yutaro Yamada , Ofir Lindenbaum , Sahand Negahban , Yuval Kluger

Sparse regression is frequently employed in diverse scientific settings as a feature selection method. A pervasive aspect of scientific data that hampers both feature selection and estimation is the presence of strong correlations between…

统计方法学 · 统计学 2021-03-25 Ankit Kumar , Sharmodeep Bhattacharyya , Kristofer Bouchard

Linear Discriminant Analysis (LDA) is a well-known method for dimensionality reduction and classification. Previous studies have also extended the binary-class case into multi-classes. However, many applications, such as object detection…

机器学习 · 计算机科学 2013-09-24 Gang Chen

Quadratic discriminant analysis (QDA) is a widely used classification technique that generalizes the linear discriminant analysis (LDA) classifier to the case of distinct covariance matrices among classes. For the QDA classifier to yield…

机器学习 · 计算机科学 2020-06-26 Houssem Sifaou , Abla Kammoun , Mohamed-Slim Alouini

There has been a great effort to transfer linear discriminant techniques that operate on vector data to high-order data, generally referred to as Multilinear Discriminant Analysis (MDA) techniques. Many existing works focus on maximizing…

计算机视觉与模式识别 · 计算机科学 2018-07-06 Dat Thanh Tran , Moncef Gabbouj , Alexandros Iosifidis

The focus of this paper is to extend Fisher's linear discriminant analysis (LDA) to both densely re-corded functional data and sparsely observed longitudinal data for general $c$-category classification problems. We propose an efficient…

统计方法学 · 统计学 2017-09-07 Lu-Hung Chen , Ci-Ren Jiang

Regularized linear discriminant analysis (RLDA) is a widely used tool for classification and dimensionality reduction, but its performance in high-dimensional scenarios is inconsistent. Existing theoretical analyses of RLDA often lack clear…

机器学习 · 统计学 2025-07-23 Yonghan Zhang , Zhangni Pu , Lu Yan , Jiang Hu

Few-shot learning for image classification comes up as a hot topic in computer vision, which aims at fast learning from a limited number of labeled images and generalize over the new tasks. In this paper, motivated by the idea of Fisher…

计算机视觉与模式识别 · 计算机科学 2023-05-16 Qijun Song , Siyun Zhou , Liwei Xu

Functional linear discriminant analysis (FLDA) is a powerful tool that extends LDA-mediated multiclass classification and dimension reduction to univariate time-series functions. However, in the age of large multivariate and incomplete…

机器学习 · 计算机科学 2026-04-23 Rahul Bordoloi , Clémence Réda , Orell Trautmann , Saptarshi Bej , Olaf Wolkenhauer

Navigating the complex landscape of single-cell transcriptomic data presents significant challenges. Central to this challenge is the identification of a meaningful representation of high-dimensional gene expression patterns that sheds…

定量方法 · 定量生物学 2023-12-13 Mu Qiao

In this paper, we address the problem of feature selection in the context of multi-label learning, by using a new estimator based on implicit regularization and label embedding. Unlike the sparse feature selection methods that use a…

机器学习 · 计算机科学 2024-11-19 Dou El Kefel Mansouri , Khalid Benabdeslem , Seif-Eddine Benkabou

In this work, we address the problem of unsupervised domain adaptation for person re-ID where annotations are available for the source domain but not for target. Previous methods typically follow a two-stage optimization pipeline, where the…

计算机视觉与模式识别 · 计算机科学 2021-08-17 Takashi Isobe , Dong Li , Lu Tian , Weihua Chen , Yi Shan , Shengjin Wang

Linear discriminant analysis (LDA) is an important classification tool in statistics and machine learning. This paper investigates the varying coefficient LDA model for dynamic data, with Bayes' discriminant direction being a function of…

统计方法学 · 统计学 2022-10-11 Yajie Bao , Yuyang Liu

We propose a modification of linear discriminant analysis, referred to as compressive regularized discriminant analysis (CRDA), for analysis of high-dimensional datasets. CRDA is specially designed for feature elimination purpose and can be…

统计方法学 · 统计学 2018-04-12 Muhammad Naveed Tabassum , Esa Ollila