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相关论文: High dimensional discriminant rules with shrinkage…

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This paper addresses classification problems with matrix-valued data, which commonly arise in applications such as neuroimaging and signal processing. Building on the assumption that the data from each class follows a matrix normal…

统计方法学 · 统计学 2025-12-18 Seungyeon Oh , Seongoh Park , Hoyoung Park

Linear discriminant analysis (LDA) is a fundamental classification and dimension reduction method that achieves Bayes optimality under Gaussian mixture, but often struggles in high-dimensional settings where the covariance matrix cannot be…

统计计算 · 统计学 2026-04-06 Cencheng Shen , Yuexiao Dong

Linear discriminant analysis (LDA) is a widely used technique for data classification. The method offers adequate performance in many classification problems, but it becomes inefficient when the data covariance matrix is ill-conditioned.…

In this study, we introduce an innovative methodology aimed at enhancing Fisher's Linear Discriminant Analysis (LDA) in the context of high-dimensional data classification scenarios, specifically addressing situations where each feature…

应用统计 · 统计学 2024-01-18 Seungyeon Oh , Hoyoung Park

Quadratic and Linear Discriminant Analysis (QDA/LDA) are the most often applied classification rules under normality. In QDA, a separate covariance matrix is estimated for each group. If there are more variables than observations in the…

统计方法学 · 统计学 2016-12-26 Stéphanie Aerts , Ines Wilms

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

Linear discriminant analysis (LDA) is a classical method for dimensionality reduction, where discriminant vectors are sought to project data to a lower dimensional space for optimal separability of classes. Several recent papers have…

统计计算 · 统计学 2022-03-04 Summer Atkins , Gudmundur Einarsson , Brendan Ames , Line Clemmensen

Researchers in the behavioral and social sciences use linear discriminant analysis (LDA) for predictions of group membership (classification) and for identifying the variables most relevant to group separation among a set of continuous…

统计方法学 · 统计学 2025-05-28 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

Dimensionality reduction is a crucial step for pattern recognition and data mining tasks to overcome the curse of dimensionality. Principal component analysis (PCA) is a traditional technique for unsupervised dimensionality reduction, which…

机器学习 · 计算机科学 2017-05-04 Zan Gao , Guotai Zhang , Feiping Nie , Hua Zhang

Classification is an important tool with many useful applications. Among the many classification methods, Fisher's Linear Discriminant Analysis (LDA) is a traditional model-based approach which makes use of the covariance information.…

机器学习 · 统计学 2015-09-21 Qiyi Lu , Xingye Qiao

Big data applications, such as medical imaging and genetics, typically generate datasets that consist of few observations n on many more variables p, a scenario that we denote as p>>n. Traditional data processing methods are often…

数据分析、统计与概率 · 物理学 2016-05-18 Magnus O. Ulfarsson , Frosti Palsson , Jakob Sigurdsson , Johannes R. Sveinsson

This paper addresses the problem of inverse covariance (also known as precision matrix) estimation in high-dimensional settings. Specifically, we focus on two classes of estimators: linear shrinkage estimators with a target proportional to…

机器学习 · 统计学 2025-11-21 Lucas Morisset , Adrien Hardy , Alain Durmus

Linear and Quadratic Discriminant analysis (LDA/QDA) are common tools for classification problems. For these methods we assume observations are normally distributed within group. We estimate a mean and covariance matrix for each group and…

机器学习 · 统计学 2011-12-08 Noah Simon , Rob Tibshirani

Discriminating patients with Alzheimer's disease (AD) from healthy subjects is a crucial task in the research of Alzheimer's disease. The task can be potentially achieved by linear discriminant analysis (LDA), which is one of the most…

统计方法学 · 统计学 2020-05-05 Yingjie Li , Liangliang Zhang , Tapabrata Maiti

The development of computing has made credit scoring approaches possible, with various machine learning (ML) and deep learning (DL) techniques becoming more and more valuable. While complex models yield more accurate predictions, their…

机器学习 · 计算机科学 2024-12-06 Md Shihab Reza , Monirul Islam Mahmud , Ifti Azad Abeer , Nova Ahmed

Linear Discriminant Analysis (LDA) is a widely-used supervised dimensionality reduction method in computer vision and pattern recognition. In null space based LDA (NLDA), a well-known LDA extension, between-class distance is maximized in…

计算机视觉与模式识别 · 计算机科学 2016-10-25 Shuai Zheng , Feiping Nie , Chris Ding , Heng Huang

The Engineers' Salary Prediction Challenge requires classifying salary categories into three classes based on tabular data. The job description is represented as a 300-dimensional word embedding incorporated into the tabular features,…

机器学习 · 计算机科学 2025-09-17 Liam Ressel , Hamza A. A. Gardi

Linear Discriminant Analysis (LDA) has been used as a standard post-processing procedure in many state-of-the-art speaker recognition tasks. Through maximizing the inter-speaker difference and minimizing the intra-speaker variation, LDA…

声音 · 计算机科学 2018-05-04 Shuai Wang , Zili Huang , Yanmin Qian , Kai Yu

This paper considers sparse linear discriminant analysis of high-dimensional data. In contrast to the existing methods which are based on separate estimation of the precision matrix $\O$ and the difference $\de$ of the mean vectors, we…

统计方法学 · 统计学 2011-07-19 Tony Cai , Weidong Liu

We study the estimation of the linear discriminant with projection pursuit, a method that is blind in the sense that it does not use the class labels in the estimation. Our viewpoint is asymptotic and, as our main contribution, we derive…

统计理论 · 数学 2023-08-15 Una Radojicic , Klaus Nordhausen , Joni Virta
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