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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…

Machine Learning · Computer Science 2020-04-10 Lei Xu , Jenni Raitoharju , Alexandros Iosifidis , Moncef Gabbouj

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…

Computer Vision and Pattern Recognition · Computer Science 2018-02-20 Lei Xu , Alexandros Iosifidis , Moncef Gabbouj

Linear discriminant analysis (LDA) is a popular technique to learn the most discriminative features for multi-class classification. A vast majority of existing LDA algorithms are prone to be dominated by the class with very large deviation…

Machine Learning · Computer Science 2020-09-28 Caixia Yan , Xiaojun Chang , Minnan Luo , Qinghua Zheng , Xiaoqin Zhang , Zhihui Li , Feiping Nie

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…

Machine Learning · Computer Science 2026-04-23 Rahul Bordoloi , Clémence Réda , Orell Trautmann , Saptarshi Bej , Olaf Wolkenhauer

Linear Discriminant Analysis (LDA) on Electronic Health Records (EHR) data is widely-used for early detection of diseases. Classical LDA for EHR data classification, however, suffers from two handicaps: the ill-posed estimation of LDA…

Machine Learning · Computer Science 2017-04-26 Haoyi Xiong , Wei Cheng , Wenqing Hu , Jiang Bian , Zhishan Guo

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…

Machine Learning · Computer Science 2024-12-06 Md Shihab Reza , Monirul Islam Mahmud , Ifti Azad Abeer , Nova Ahmed

Linear discriminant analysis (LDA) is a fundamental method for feature extraction and dimensionality reduction. Despite having many variants, classical LDA has its own importance, as it is a keystone in human knowledge about statistical…

Computer Vision and Pattern Recognition · Computer Science 2022-10-03 Sayed Kamaledin Ghiasi-Shirazi

Linear Discriminant Analysis (LDA) is a fundamental method for classification. Its simple linear structure facilitates interpretation, and it is naturally suited to multi-class settings. LDA is also closely connected to several classical…

Methodology · Statistics 2026-04-09 Xin Bing , Bingqing Li , Marten Wegkamp

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.…

Machine Learning · Statistics 2015-09-21 Qiyi Lu , Xingye Qiao

Tensor classification is gaining importance across fields, yet handling partially observed data remains challenging. In this paper, we introduce a novel approach to tensor classification with incomplete data, framed within high-dimensional…

Machine Learning · Statistics 2024-11-01 Elynn Chen , Yuefeng Han , Jiayu Li

Linear discriminant analysis (LDA), a traditional classification tool, suffers from limitations such as sensitivity to noise and computational challenges when dealing with non-invertible within-class scatter matrices. Traditional stepwise…

Methodology · Statistics 2025-05-26 Siyu Wang , Kehui Yao

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…

Methodology · Statistics 2017-09-07 Lu-Hung Chen , Ci-Ren Jiang

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…

Computer Vision and Pattern Recognition · Computer Science 2016-10-25 Shuai Zheng , Feiping Nie , Chris Ding , Heng Huang

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…

Methodology · Statistics 2025-12-18 Seungyeon Oh , Seongoh Park , Hoyoung Park

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…

Methodology · Statistics 2025-05-28 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

Utilizing language models (LMs) without internal access is becoming an attractive paradigm in the field of NLP as many cutting-edge LMs are released through APIs and boast a massive scale. The de-facto method in this type of black-box…

Computation and Language · Computer Science 2023-06-12 Hyunsoo Cho , Youna Kim , Sang-goo Lee

Objective: The proper handling of missing values is critical to delivering reliable estimates and decisions, especially in high-stakes fields such as clinical research. The increasing diversity and complexity of data have led many…

Linear Discriminant Analysis (LDA) is a well-known technique for feature extraction and dimension reduction. The performance of classical LDA, however, significantly degrades on the High Dimension Low Sample Size (HDLSS) data for the…

Machine Learning · Computer Science 2023-03-09 Sijia Yang , Haoyi Xiong , Kaibo Xu , Licheng Wang , Jiang Bian , Zeyi Sun

In binary classification, imbalance refers to situations in which one class is heavily under-represented. This issue is due to either a data collection process or because one class is indeed rare in a population. Imbalanced classification…

Methodology · Statistics 2022-01-07 Arezou Mojiri , Abbas Khalili , Ali Zeinal Hamadani

Supervised learning with missing data aims at building the best prediction of a target output based on partially-observed inputs. Major approaches to address this problem can be decomposed into $(i)$ impute-then-predict strategies, which…

Statistics Theory · Mathematics 2024-10-14 Angel D Reyero Lobo , Alexis Ayme , Claire Boyer , Erwan Scornet
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