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Reduced-rank linear discriminant analysis (RRLDA) is a foundational method of dimension reduction for classification that has been useful in a wide range of applications. The goal is to identify an optimal subspace to project the…

Computation · Statistics 2026-02-12 Jocelyn T. Chi

We revisit Deep Linear Discriminant Analysis (Deep LDA) from a likelihood-based perspective. While classical LDA is a simple Gaussian model with linear decision boundaries, attaching an LDA head to a neural encoder raises the question of…

Machine Learning · Statistics 2026-02-23 Maxat Tezekbayev , Arman Bolatov , Zhenisbek Assylbekov

In many modern computer application problems, the classification of image data plays an important role. Among many different supervised machine learning models, convolutional neural networks (CNNs) and linear discriminant analysis (LDA) as…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Axel Klawonn , Martin Lanser , Janine Weber

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…

Computation · Statistics 2026-04-06 Cencheng Shen , Yuexiao Dong

Recently proposed L2-norm linear discriminant analysis criterion via the Bhattacharyya error bound estimation (L2BLDA) is an effective improvement of linear discriminant analysis (LDA) for feature extraction. However, L2BLDA is only…

Machine Learning · Computer Science 2020-11-12 Yan-Ru Guo , Yan-Qin Bai , Chun-Na Li , Lan Bai , Yuan-Hai Shao

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…

Methodology · Statistics 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…

Machine Learning · Computer Science 2017-05-04 Zan Gao , Guotai Zhang , Feiping Nie , Hua Zhang

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…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Joshua Ball

Multi-label classification is a type of supervised learning where an instance may belong to multiple labels simultaneously. Predicting each label independently has been criticized for not exploiting any correlation between labels. In this…

Machine Learning · Statistics 2023-10-25 Hyukjun Gweon , Matthias Schonlau , Stefan Steiner

Linear Discriminant Analysis (LDA) is one of the oldest and most popular linear methods for supervised classification problems. In this paper, we demonstrate that it is possible to compute the exact projection vector from LDA models based…

Machine Learning · Computer Science 2023-10-18 Nicolas Heintz , Tom Francart , Alexander Bertrand

We propose a novel algorithm for supervised dimensionality reduction named Manifold Partition Discriminant Analysis (MPDA). It aims to find a linear embedding space where the within-class similarity is achieved along the direction that is…

Machine Learning · Computer Science 2020-11-24 Yang Zhou , Shiliang Sun

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…

Machine Learning · Computer Science 2024-10-10 Tuan L. Vo , Uyen Dang , Thu Nguyen

Linear Discriminant Analysis (LDA) is commonly used for dimensionality reduction in pattern recognition and statistics. It is a supervised method that aims to find the most discriminant space of reduced dimension that can be further used…

Computer Vision and Pattern Recognition · Computer Science 2021-04-19 Navya Nagananda , Breton Minnehan , Andreas Savakis

This paper introduces a discriminator-free adversarial-based approach termed DDA-MLIC for Unsupervised Domain Adaptation (UDA) in the context of Multi-Label Image Classification (MLIC). While recent efforts have explored adversarial-based…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Inder Pal Singh , Enjie Ghorbel , Anis Kacem , Djamila Aouada

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

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…

Methodology · Statistics 2023-03-07 Jaehoan Kim , Hoyoung Park , Junyong Park

Labeled Latent Dirichlet Allocation (LLDA) is an extension of the standard unsupervised Latent Dirichlet Allocation (LDA) algorithm, to address multi-label learning tasks. Previous work has shown it to perform in par with other…

Machine Learning · Statistics 2017-09-19 Yannis Papanikolaou , Grigorios Tsoumakas

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

In this paper, we carry out null space analysis for Class-Specific Discriminant Analysis (CSDA) and formulate a number of solutions based on the analysis. We analyze both theoretically and experimentally the significance of each algorithmic…

Machine Learning · Computer Science 2019-08-14 Jenni Raitoharju , Alexandros Iosifidis

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…

Machine Learning · Computer Science 2013-09-24 Gang Chen