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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

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

As a non-linear extension of the classic Linear Discriminant Analysis(LDA), Deep Linear Discriminant Analysis(DLDA) replaces the original Categorical Cross Entropy(CCE) loss function with eigenvalue-based loss function to make a deep neural…

计算机视觉与模式识别 · 计算机科学 2022-06-14 Wen Lu

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

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

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

The polycystic ovary syndrome diagnosis is a problem that can be leveraged using prognostication based learning procedures. Many implementations of PCOS can be seen with Machine Learning but the algorithms have certain limitations in…

机器学习 · 计算机科学 2023-03-28 Raunak Joshi , Abhishek Gupta , Himanshu Soni , Ronald Laban

Linear and Quadratic Discriminant Analysis (LDA and QDA) are well-known classical methods but can heavily suffer from non-Gaussian distributions and/or contaminated datasets, mainly because of the underlying Gaussian assumption that is not…

机器学习 · 统计学 2023-07-06 Pierre Houdouin , Matthieu Jonckheere , Frederic Pascal

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

Estimation of heterogeneous treatment effects is an essential component of precision medicine. Model and algorithm-based methods have been developed within the causal inference framework to achieve valid estimation and inference. Existing…

统计方法学 · 统计学 2021-05-10 Ruohong Li , Honglang Wang , Wanzhu Tu

Electronic health records (EHRs) offer great promises for advancing precision medicine and, at the same time, present significant analytical challenges. Particularly, it is often the case that patient-level data in EHRs cannot be shared…

统计方法学 · 统计学 2022-07-04 Changgee Chang , Zhiqi Bu , Qi Long

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

We present a randomized Kaczmarz method for linear discriminant analysis (rkLDA), an iterative randomized approach to binary-class Gaussian model linear discriminant analysis (LDA) for very large data. We harness a least squares formulation…

统计计算 · 统计学 2025-01-09 Jocelyn T. Chi , Deanna Needell

This paper investigates the robust linear discriminant analysis (LDA) problem with elliptical distributions in high-dimensional data. We propose a robust classification method, named SSLDA, that is intended to withstand heavy-tailed…

统计方法学 · 统计学 2025-04-16 Dan Zhuang , Long Feng

In this paper, we propose a new variant of Linear Discriminant Analysis (LDA) to solve multi-label classification tasks. The proposed method is based on a probabilistic model for defining the weights of individual samples in a weighted…

机器学习 · 计算机科学 2020-04-10 Lei Xu , Jenni Raitoharju , Alexandros Iosifidis , Moncef Gabbouj

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

One of the main problems studied in statistics is the fitting of models. Ideally, we would like to explain a large dataset with as few parameters as possible. There have been numerous attempts at automatizing this process. Most notably, the…

统计计算 · 统计学 2018-09-24 Marc Härkönen , Tomonari Sei , Yoshihiro Hirose

The healthcare sector has experienced a rapid accumulation of digital data recently, especially in the form of electronic health records (EHRs). EHRs constitute a precious resource that IS researchers could utilize for clinical applications…

机器学习 · 计算机科学 2024-11-06 Thiti Suttaket , L Vivek Harsha Vardhan , Stanley Kok

Various regularized linear discriminant analysis (LDA) methods have been proposed to address the problems of the classic methods in high-dimensional settings. Asymptotic optimality has been established for some of these methods in high…

统计方法学 · 统计学 2015-08-06 Ruiyan Luo , Xin Qi

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