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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

Multimodal representations that enable cross-modal retrieval are widely used. However, these often lack interpretability making it difficult to explain the retrieved results. Solutions such as learning sparse disentangled representations…

Information Retrieval · Computer Science 2025-06-25 Prachi J , Sumit Bhatia , Srikanta Bedathur

Data compression can be achieved by reducing the dimensionality of high-dimensional but approximately low-rank datasets, which may in fact be described by the variation of a much smaller number of parameters. It often serves as a…

Quantum Physics · Physics 2021-08-03 Chao-Hua Yu , Fei Gao , Song Lin , Jingbo Wang

In this paper, we develop a new framework for sensing and recovering structured signals. In contrast to compressive sensing (CS) systems that employ linear measurements, sparse representations, and computationally complex convex/greedy…

Machine Learning · Computer Science 2016-09-01 Ali Mousavi , Ankit B. Patel , Richard G. Baraniuk

A method for dimension reduction with clustering, classification, or discriminant analysis is introduced. This mixture model-based approach is based on fitting generalized hyperbolic mixtures on a reduced subspace within the paradigm of…

Methodology · Statistics 2017-10-09 Katherine Morris , Paul D. McNicholas

Feature extraction is an efficient approach for alleviating the issue of dimensionality in high-dimensional data. As a popular self-supervised learning method, contrastive learning has recently garnered considerable attention. In this…

Machine Learning · Computer Science 2021-09-14 Hongjie Zhang

Pattern classification with compact representation is an important component in machine intelligence. In this work, an analytic bridge solution is proposed for compressive classification. The proposal has been based upon solving a penalized…

Machine Learning · Computer Science 2022-03-21 Kar-Ann Toh , Giuseppe Molteni , Zhiping Lin

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

Compressed Learning (CL) is a joint signal processing and machine learning framework for inference from a signal, using a small number of measurements obtained by linear projections of the signal. In this paper we present an end-to-end deep…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Amir Adler , Michael Elad , Michael Zibulevsky

While the SLIM approach obtained high ranking-accuracy in many experiments in the literature, it is also known for its high computational cost of learning its parameters from data. For this reason, we focus in this paper on variants of…

Information Retrieval · Computer Science 2019-05-01 Harald Steck

In contemporary scientific research, it is of great interest to predict a categorical response based on a high-dimensional tensor (i.e. multi-dimensional array) and additional covariates. This mixture of different types of data leads to…

Methodology · Statistics 2018-05-14 Yuqing Pan , Qing Mai , Xin Zhang

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

Sparse representation-based classification (SRC), proposed by Wright et al., seeks the sparsest decomposition of a test sample over the dictionary of training samples, with classification to the most-contributing class. Because it assumes…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Chelsea Weaver , Naoki Saito

High-dimensional clustering analysis is a challenging problem in statistics and machine learning, with broad applications such as the analysis of microarray data and RNA-seq data. In this paper, we propose a new clustering procedure called…

Methodology · Statistics 2022-10-31 Tianqi Liu , Yu Lu , Biqing Zhu , Hongyu Zhao

High-dimensional data are commonly seen in modern statistical applications, variable selection methods play indispensable roles in identifying the critical features for scientific discoveries. Traditional best subset selection methods are…

Methodology · Statistics 2022-12-29 Tianzhou Ma , Hongjie Ke , Zhao Ren

This paper provides the relevant literature with a complete toolkit for conducting robust estimation and inference about the parameters of interest involved in a high-dimensional panel data framework. Specifically, (1) we allow for…

Econometrics · Economics 2025-02-13 Jiti Gao , Fei Liu , Bin Peng , Yayi Yan

This study proposes a low-complexity interpretable classification system. The proposed system contains three main modules including feature extraction, feature reduction, and classification. All of them are linear. Thanks to the linear…

Computer Vision and Pattern Recognition · Computer Science 2020-04-15 Tzu-Wei Tseng , Kai-Jiun Yang , C. -C. Jay Kuo , Shang-Ho , Tsai

Data augmentation is an effective way to diversify corpora in machine translation, but previous methods may introduce semantic inconsistency between original and augmented data because of irreversible operations and random subword sampling…

Computation and Language · Computer Science 2025-02-21 Jiashu Yao , Heyan Huang , Zeming Liu , Yuhang Guo

Data acquisition, storage and management have been improved, while the key factors of many phenomena are not well known. Consequently, irrelevant and redundant features artificially increase the size of datasets, which complicates learning…

Machine Learning · Statistics 2017-04-05 Jean Golay , Michael Leuenberger , Mikhail Kanevski

Conventional compressed sensing theory assumes signals have sparse representations in a known, finite dictionary. Nevertheless, in many practical applications such as direction-of-arrival (DOA) estimation and line spectral estimation, the…

Information Theory · Computer Science 2014-12-19 Jun Fang , Huiping Duan , Jing Li , Hongbin Li , Rick S. Blum