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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

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

The performance of machine learning and pattern recognition algorithms generally depends on data representation. That is why, much of the current effort in performing machine learning algorithms goes into the design of preprocessing…

机器学习 · 计算机科学 2025-10-28 Fadi Dornaika , Ahmad Khoder , Abdelmalik Moujahid , Wassim Khoder

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

In this paper, we propose a new variant of Linear Discriminant Analysis to overcome underlying drawbacks of traditional LDA and other LDA variants targeting problems involving imbalanced classes. Traditional LDA sets assumptions related to…

计算机视觉与模式识别 · 计算机科学 2018-02-20 Lei Xu , Alexandros Iosifidis , Moncef Gabbouj

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

In recent years, a variety of gradient-based methods have been developed to solve Bi-Level Optimization (BLO) problems in machine learning and computer vision areas. However, the theoretical correctness and practical effectiveness of these…

机器学习 · 计算机科学 2022-01-04 Risheng Liu , Pan Mu , Xiaoming Yuan , Shangzhi Zeng , Jin Zhang

Streaming Linear Discriminant Analysis (LDA) while proven in Class-incremental Learning deployments at the edge with limited classes (upto 1000), has not been proven for deployment in extreme classification scenarios. In this paper, we…

机器学习 · 计算机科学 2023-07-24 Karan Shah , Vishruth Veerendranath , Anushka Hebbar , Raghavendra Bhat

In this paper, we propose a novel approach named by Discriminative Principal Component Analysis which is abbreviated as Discriminative PCA in order to enhance separability of PCA by Linear Discriminant Analysis (LDA). The proposed method…

计算机视觉与模式识别 · 计算机科学 2019-03-13 Hanli Qiao

Linear discriminant analysis (LDA) based classifiers tend to falter in many practical settings where the training data size is smaller than, or comparable to, the number of features. As a remedy, different regularized LDA (RLDA) methods…

机器学习 · 计算机科学 2021-03-30 Alam Zaib , Tarig Ballal , Shahid Khattak , Tareq Y. Al-Naffouri

As the adoption of Artificial Intelligence (AI) models expands into critical real-world applications, ensuring the explainability of these models becomes paramount, particularly in sensitive fields such as medicine and finance. Linear…

机器学习 · 计算机科学 2024-10-10 Tuan L. Vo , Uyen Dang , Thu Nguyen

Convolutional neural networks (CNNs) have been successful in representing the fully-connected inferencing ability perceived to be seen in the human brain: they take full advantage of the hierarchy-style patterns commonly seen in complex…

计算机视觉与模式识别 · 计算机科学 2023-12-12 Joshua Ball

Linear discriminant analysis improves class separability but struggles with non-linearly separable data. To overcome this, we introduce Deep Discriminant Analysis (DDA), which directly optimizes the Fisher criterion utilizing deep networks.…

计算机视觉与模式识别 · 计算机科学 2026-01-21 Raül Pérez-Gonzalo , Andreas Espersen , Antonio Agudo

A novel approach for supervised classification analysis for high dimensional and flat data (more variables than observations) is proposed. We use the information of class-membership of observations to determine groups of observations…

Adversarial discriminative domain adaptation (ADDA) is an efficient framework for unsupervised domain adaptation in image classification, where the source and target domains are assumed to have the same classes, but no labels are available…

计算机视觉与模式识别 · 计算机科学 2019-11-12 Aaron Chadha , Yiannis Andreopoulos

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

Linear discriminant analysis (LDA) is a typical method for classification problems with large dimensions and small samples. There are various types of LDA methods that are based on the different types of estimators for the covariance…

统计方法学 · 统计学 2023-03-07 Jaehoan Kim , Hoyoung Park , Junyong Park

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

We present a supervised dimensionality reduction technique called Convex Linear Discriminant Analysis (ConvexLDA). The proposed model optimizes a multi-objective cost function by balancing two complementary terms. The first term pulls the…

机器学习 · 计算机科学 2025-03-19 Sai Vijay Kumar Surineela , Prathyusha Kanakamalla , Harigovind Harikumar , Tomojit Ghosh

We show that for unconstrained Deep Linear Discriminant Analysis (LDA) classifiers, maximum-likelihood training admits pathological solutions in which class means drift together, covariances collapse, and the learned representation becomes…

机器学习 · 统计学 2026-01-06 Maxat Tezekbayev , Rustem Takhanov , Arman Bolatov , Zhenisbek Assylbekov