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Transfer learning aims to learn robust classifiers for the target domain by leveraging knowledge from a source domain. Since the source and the target domains are usually from different distributions, existing methods mainly focus on…

Machine Learning · Computer Science 2019-09-19 Jindong Wang , Yiqiang Chen , Wenjie Feng , Han Yu , Meiyu Huang , Qiang Yang

Linear discriminant analysis (LDA) is a popular tool for classification and dimension reduction. Limited by its linear form and the underlying Gaussian assumption, however, LDA is not applicable in situations where the data distribution is…

Machine Learning · Computer Science 2020-11-02 Yunqi Cai , Dong Wang

High-dimensional data that evolve dynamically feature predominantly in the modern data era. As a partial response to this, recent years have seen increasing emphasis to address the dimensionality challenge. However, the non-static nature of…

Methodology · Statistics 2019-01-21 Binyan Jiang , Ziqi Chen , Chenlei Leng

Wasserstein Discriminant Analysis (WDA) is a new supervised method that can improve classification of high-dimensional data by computing a suitable linear map onto a lower dimensional subspace. Following the blueprint of classical Linear…

Machine Learning · Statistics 2018-09-21 Rémi Flamary , Marco Cuturi , Nicolas Courty , Alain Rakotomamonjy

Multilinear Discriminant Analysis (MDA) is a powerful dimension reduction method specifically formulated to deal with tensor data. Precisely, the goal of MDA is to find mode-specific projections that optimally separate tensor data from…

Numerical Analysis · Mathematics 2022-03-03 F. Dufrenois , A. El Ichi , K. Jbilou

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

We introduce a new method of performing high dimensional discriminant analysis, which we call multiDA. We achieve this by constructing a hybrid model that seamlessly integrates a multiclass diagonal discriminant analysis model and feature…

Machine Learning · Statistics 2018-07-05 Sarah Elizabeth Romanes , John Thomas Ormerod , Jean YH Yang

This paper considers sparse linear discriminant analysis of high-dimensional data. In contrast to the existing methods which are based on separate estimation of the precision matrix $\O$ and the difference $\de$ of the mean vectors, we…

Methodology · Statistics 2011-07-19 Tony Cai , Weidong Liu

Linear discriminant analysis (LDA) has been a useful tool in pattern recognition and data analysis research and practice. While linearity of class boundaries cannot always be expected, nonlinear projections through pre-trained deep neural…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Jiahui Liu , Xiaohao Cai , Mahesan Niranjan

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

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…

Computation · Statistics 2022-03-04 Summer Atkins , Gudmundur Einarsson , Brendan Ames , Line Clemmensen

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

Fisher Discriminant Analysis (FDA) is a subspace learning method which minimizes and maximizes the intra- and inter-class scatters of data, respectively. Although, in FDA, all the pairs of classes are treated the same way, some classes are…

Machine Learning · Statistics 2020-07-01 Benyamin Ghojogh , Milad Sikaroudi , H. R. Tizhoosh , Fakhri Karray , Mark Crowley

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

A deep neural network (DNN) consists of a nonlinear transformation from an input to a feature representation, followed by a common softmax linear classifier. Though many efforts have been devoted to designing a proper architecture for…

Machine Learning · Computer Science 2018-06-20 Tianyu Pang , Chao Du , Jun Zhu

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…

Machine Learning · Computer Science 2023-07-24 Karan Shah , Vishruth Veerendranath , Anushka Hebbar , Raghavendra Bhat

To deploy and operate deep neural models in production, the quality of their predictions, which might be contaminated benignly or manipulated maliciously by input distributional deviations, must be monitored and assessed. Specifically, we…

Computer Vision and Pattern Recognition · Computer Science 2023-06-09 Guy Bar-Shalom , Yonatan Geifman , Ran El-Yaniv

Accurate prediction of wind power is essential for the grid integration of this intermittent renewable source and aiding grid planners in forecasting available wind capacity. Spatial differences lead to discrepancies in climatological data…

Machine Learning · Computer Science 2024-05-21 Md Saiful Islam Sajol , Md Shazid Islam , A S M Jahid Hasan , Md Saydur Rahman , Jubair Yusuf

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

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