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Linear discriminant analysis (LDA) is a well-known method for multiclass classification and dimensionality reduction. However, in general, ordinary LDA does not achieve high prediction accuracy when observations in some classes are…

Methodology · Statistics 2021-07-07 Kei Hirose , Kanta Miura , Atori Koie

High-dimensional data requires scalable algorithms. We propose and analyze three scalable and related algorithms for semi-supervised discriminant analysis (SDA). These methods are based on Krylov subspace methods which exploit the data…

Artificial Intelligence · Computer Science 2019-02-21 Joris Tavernier , Jaak Simm , Karl Meerbergen , Joerg Kurt Wegner , Hugo Ceulemans , Yves Moreau

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.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Raül Pérez-Gonzalo , Andreas Espersen , Antonio Agudo

In this paper, we propose a speed-up approach for subclass discriminant analysis and formulate a novel efficient multi-view solution to it. The speed-up approach is developed based on graph embedding and spectral regression approaches that…

Machine Learning · Computer Science 2020-10-13 Kateryna Chumachenko , Jenni Raitoharju , Alexandros Iosifidis , Moncef Gabbouj

Discriminative features play an important role in image and object classification and also in other fields of research such as semi-supervised learning, fine-grained classification, out of distribution detection. Inspired by Linear…

Computer Vision and Pattern Recognition · Computer Science 2021-07-14 Mai Lan Ha , Gianni Franchi , Emanuel Aldea , Volker Blanz

We propose Stepwise cOnditional likelihood variable selection for Discriminant Analysis (SODA) to detect both main and quadratic interaction effects in logistic regression and quadratic discriminant analysis (QDA) models. In the forward…

Methodology · Statistics 2017-05-31 Yang Li , Jun S. Liu

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

Multi-view feature has been proved to be very effective in many multimedia applications. However, the current back-end classifiers cannot make full use of such features. In this paper, we propose a method to model the multi-faceted…

Machine Learning · Computer Science 2017-07-10 Ziqiang Shi , Liu Liu , Mengjiao Wang , Rujie Liu

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

Many modern big data applications feature large scale in both numbers of responses and predictors. Better statistical efficiency and scientific insights can be enabled by understanding the large-scale response-predictor association network…

Methodology · Statistics 2017-04-28 Yoshimasa Uematsu , Yingying Fan , Kun Chen , Jinchi Lv , Wei Lin

An increasing number of multi-view data are being published by studies in several fields. This type of data corresponds to multiple data-views, each representing a different aspect of the same set of samples. We have recently proposed…

Machine Learning · Computer Science 2021-11-08 Theodoulos Rodosthenous , Vahid Shahrezaei , Marina Evangelou

In response to the challenges of data mining, discriminant analysis continues to evolve as a vital branch of statistics. Our recently introduced method of vertex discriminant analysis (VDA) is ideally suited to handle multiple categories…

Applications · Statistics 2011-01-06 Tong Tong Wu , Kenneth Lange

Labeling medical images depends on professional knowledge, making it difficult to acquire large amount of annotated medical images with high quality in a short time. Thus, making good use of limited labeled samples in a small dataset to…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Peng Jiang , Juan Liu , Lang Wang , Zhihui Ynag , Hongyu Dong , Jing Feng

Cross-modal alignment is an effective approach to improving visual classification. Existing studies typically enforce a one-step mapping that uses deep neural networks to project the visual features to mimic the distribution of textual…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Zixuan Li , Lei Meng , Guoqing Chao , Wei Wu , Xiaoshuo Yan , Yimeng Yang , Zhuang Qi , Xiangxu Meng

Multi-view stacking is a framework for combining information from different views (i.e. different feature sets) describing the same set of objects. In this framework, a base-learner algorithm is trained on each view separately, and their…

Machine Learning · Statistics 2024-04-16 Wouter van Loon , Marjolein Fokkema , Botond Szabo , Mark de Rooij

In many biomedical research, multiple views of data (e.g., genomics, proteomics) are available, and a particular interest might be the detection of sample subgroups characterized by specific groups of variables. Biclustering methods are…

Methodology · Statistics 2021-11-12 W. Zhang , C. Wendt , R. Bowler , C. P. Hersh , S. E. Safo

In the last two decades, unsupervised latent variable models---blind source separation (BSS) especially---have enjoyed a strong reputation for the interpretable features they produce. Seldom do these models combine the rich diversity of…

Machine Learning · Statistics 2019-11-12 Rogers F. Silva , Sergey M. Plis , Tulay Adali , Marios S. Pattichis , Vince D. Calhoun

Regularized linear discriminant analysis (RLDA) is a widely used tool for classification and dimensionality reduction, but its performance in high-dimensional scenarios is inconsistent. Existing theoretical analyses of RLDA often lack clear…

Machine Learning · Statistics 2025-07-23 Yonghan Zhang , Zhangni Pu , Lu Yan , Jiang Hu

Non-linear dimensionality reduction can be performed by \textit{manifold learning} approaches, such as Stochastic Neighbour Embedding (SNE), Locally Linear Embedding (LLE) and Isometric Feature Mapping (ISOMAP). These methods aim to produce…

Machine Learning · Statistics 2021-12-09 Theodoulos Rodosthenous , Vahid Shahrezaei , Marina Evangelou

Deep multi-view clustering seeks to utilize the abundant information from multiple views to improve clustering performance. However, most of the existing clustering methods often neglect to fully mine multi-view structural information and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Jinrong Cui , Xiaohuang Wu , Haitao Zhang , Chongjie Dong , Jie Wen