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Linear and Quadratic Discriminant analysis (LDA/QDA) are common tools for classification problems. For these methods we assume observations are normally distributed within group. We estimate a mean and covariance matrix for each group and…

Machine Learning · Statistics 2011-12-08 Noah Simon , Rob Tibshirani

We develop a novel method for training of GANs for unsupervised and class conditional generation of images, called Linear Discriminant GAN (LD-GAN). The discriminator of an LD-GAN is trained to maximize the linear separability between…

Machine Learning · Statistics 2017-07-26 Zhun Sun , Mete Ozay , Takayuki Okatani

Classical linear discriminant analysis (LDA) is based on squared Frobenious norm and hence is sensitive to outliers and noise. To improve the robustness of LDA, in this paper, we introduce capped l_{2,1}-norm of a matrix, which employs…

Machine Learning · Statistics 2020-11-05 Jiakou Liu , Xiong Xiong , Pei-Wei Ren , Da Zhao , Chun-Na Li , Yuan-Hai Shao

Learning from imbalanced data is one of the most significant challenges in real-world classification tasks. In such cases, neural networks performance is substantially impaired due to preference towards the majority class. Existing…

Machine Learning · Computer Science 2022-11-13 Bronislav Yasinnik , Moshe Salhov , Ofir Lindenbaum , Amir Averbuch

Salient object detection is subjective in nature, which implies that multiple estimations should be related to the same input image. Most existing salient object detection models are deterministic following a point to point estimation…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Xinyu Tian , Jing Zhang , Yuchao Dai

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

Training of deep neural networks heavily depends on the data distribution. In particular, the networks easily suffer from class imbalance. The trained networks would recognize the frequent classes better than the infrequent classes. To…

Computer Vision and Pattern Recognition · Computer Science 2020-03-12 Byungju Kim , Junmo Kim

In this paper we propose a Kalman filter aided saliency detection model which is based on the conjecture that salient regions are considerably different from our "visual expectation" or they are "visually surprising" in nature. In this…

Computer Vision and Pattern Recognition · Computer Science 2016-04-19 Sourya Roy , Pabitra Mitra

Real-world data often follow a long-tailed distribution with a high imbalance in the number of samples between classes. The problem with training from imbalanced data is that some background features, common to all classes, can be…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Sanglee Park , Seung-won Hwang , Jungmin So

Linear and Quadratic Discriminant Analysis (LDA and QDA) are well-known classical methods but can heavily suffer from non-Gaussian distributions and/or contaminated datasets, mainly because of the underlying Gaussian assumption that is not…

Machine Learning · Statistics 2023-07-06 Pierre Houdouin , Matthieu Jonckheere , Frederic Pascal

In recent years many sparse linear discriminant analysis methods have been proposed for high-dimensional classification and variable selection. However, most of these proposals focus on binary classification and they are not directly…

Methodology · Statistics 2015-04-23 Qing Mai , Yi Yang , Hui Zou

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

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…

Methodology · Statistics 2025-04-16 Dan Zhuang , Long Feng

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

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

Despite the success of deep neural networks in medical image classification, the problem remains challenging as data annotation is time-consuming, and the class distribution is imbalanced due to the relative scarcity of diseases. To address…

Computer Vision and Pattern Recognition · Computer Science 2023-08-01 Zhongzheng Huang , Jiawei Wu , Tao Wang , Zuoyong Li , Anastasia Ioannou

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

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

Transfer learning has achieved promising results by leveraging knowledge from the source domain to annotate the target domain which has few or none labels. Existing methods often seek to minimize the distribution divergence between domains,…

Machine Learning · Computer Science 2018-07-03 Jindong Wang , Yiqiang Chen , Shuji Hao , Wenjie Feng , Zhiqi Shen

Quadratic discriminant analysis (QDA) is a widely used classification technique that generalizes the linear discriminant analysis (LDA) classifier to the case of distinct covariance matrices among classes. For the QDA classifier to yield…

Machine Learning · Computer Science 2020-06-26 Houssem Sifaou , Abla Kammoun , Mohamed-Slim Alouini