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Recent studies in the literature have paid much attention to the sparsity in linear classification tasks. One motivation of imposing sparsity assumption on the linear discriminant direction is to rule out the noninformative features, making…

Machine Learning · Statistics 2015-01-13 Dong Xia

Non-data-aided (NDA) parameter estimation is considered for binary-phase-shift-keying transmission in an additive white Gaussian noise channel. Cramer-Rao lower bounds (CRLBs) for signal amplitude, noise variance, channel reliability…

Information Theory · Computer Science 2007-07-13 Fredrik Brannstrom , Lars K. Rasmussen

Covariance regression offers an effective way to model the large covariance matrix with the auxiliary similarity matrices. In this work, we propose a sparse covariance regression (SCR) approach to handle the potentially high-dimensional…

Methodology · Statistics 2024-10-17 Yuan Gao , Zhiyuan Zhang , Zhanrui Cai , Xuening Zhu , Tao Zou , Hansheng Wang

This paper proposes an improved linear discriminant analysis called spectrally-corrected and regularized LDA (SRLDA). This method integrates the design ideas of the sample spectrally-corrected covariance matrix and the regularized…

Machine Learning · Statistics 2024-03-11 Hua Li , Wenya Luo , Zhidong Bai , Huanchao Zhou , Zhangni Pu

In this paper, we propose a communication-efficient penalized regression algorithm for high-dimensional sparse linear regression models with massive data. This approach incorporates an optimized distributed system communication algorithm,…

Machine Learning · Statistics 2025-04-02 Chenqi Gong , Hu Yang

Tensor factorizations with nonnegative constraints have found application in analyzing data from cyber traffic, social networks, and other areas. We consider application data best described as being generated by a Poisson process (e.g.,…

Numerical Analysis · Mathematics 2018-08-23 Samantha Hansen , Todd Plantenga , Tamara G. Kolda

Researchers in the behavioral and social sciences use linear discriminant analysis (LDA) for predictions of group membership (classification) and for identifying the variables most relevant to group separation among a set of continuous…

Methodology · Statistics 2025-05-28 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

Recently, advanced technologies have unlimited potential in solving various problems with a large amount of data. However, these technologies have yet to show competitive performance in brain-computer interfaces (BCIs) which deal with brain…

Artificial Intelligence · Computer Science 2022-06-20 Byeong-Hoo Lee , Jeong-Hyun Cho , Byoung-Hee Kwon , Seong-Whan Lee

Motor imagery brain computer interface designs are considered difficult due to limitations in subject-specific data collection and calibration, as well as demanding system adaptation requirements. Recently, subject-independent (SI) designs…

Machine Learning · Computer Science 2021-01-06 Parisa Ghane , Narges Zarnaghi Naghsh , Ulisses Braga-Neto

Latent Class Analysis (LCA) is widely used to identify unobserved subgroups in social and behavioural sciences. A long-standing challenge for LCA is the interpretability of the latent classes, due to the high complexity of the estimated…

Methodology · Statistics 2026-05-20 Yuxuan Xu , Lea Kaufmann , Yunxiao Chen , Maria Kateri , Irini Moustaki

Most current state-of-the-art text-independent speaker verification systems take probabilistic linear discriminant analysis (PLDA) as their backend classifiers. The parameters of PLDA are often estimated by maximizing the objective…

Sound · Computer Science 2018-11-13 Liang He , Xianhong Chen , Can Xu , Jia Liu

We revisit the problem of feature selection in linear discriminant analysis (LDA), that is, when features are correlated. First, we introduce a pooled centroids formulation of the multiclass LDA predictor function, in which the relative…

Applications · Statistics 2010-10-11 Miika Ahdesmäki , Korbinian Strimmer

We introduce a novel approach for estimating Latent Dirichlet Allocation (LDA) parameters from collapsed Gibbs samples (CGS), by leveraging the full conditional distributions over the latent variable assignments to efficiently average over…

Machine Learning · Statistics 2017-04-12 Yannis Papanikolaou , James R. Foulds , Timothy N. Rubin , Grigorios Tsoumakas

Probabilistic linear discriminant analysis (PLDA) is commonly used in speaker verification systems to score the similarity of speaker embeddings. Recent studies improved the performance of PLDA in domain-matched conditions by diagonalizing…

Sound · Computer Science 2022-12-07 Zhiyuan Peng , Mingjie Shao , Xuanji He , Xu Li , Tan Lee , Ke Ding , Guanglu Wan

Kullback-Leibler (KL) regularization is widely used in offline decision-making and offers several benefits, motivating recent work on the sample complexity of offline learning with respect to KL-regularized performance metrics.…

Machine Learning · Computer Science 2026-05-05 Kaixuan Ji , Qiwei Di , Heyang Zhao , Qingyue Zhao , Quanquan Gu

Linear Discriminant Analysis (LDA) is a fundamental method for classification. Its simple linear structure facilitates interpretation, and it is naturally suited to multi-class settings. LDA is also closely connected to several classical…

Methodology · Statistics 2026-04-09 Xin Bing , Bingqing Li , Marten Wegkamp

As one of the most popular linear subspace learning methods, the Linear Discriminant Analysis (LDA) method has been widely studied in machine learning community and applied to many scientific applications. Traditional LDA minimizes the…

Machine Learning · Computer Science 2019-07-02 Feiping Nie , Hua Wang , Zheng Wang , Heng Huang

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

Objective: Using traditional approaches, a Brain-Computer Interface (BCI) requires the collection of calibration data for new subjects prior to online use. Calibration time can be reduced or eliminated e.g.~by transfer of a pre-trained…

Machine Learning · Statistics 2017-07-05 D Hübner , T Verhoeven , K Schmid , K-R Müller , M Tangermann , P-J Kindermans

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