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In many modern computer application problems, the classification of image data plays an important role. Among many different supervised machine learning models, convolutional neural networks (CNNs) and linear discriminant analysis (LDA) as…

计算机视觉与模式识别 · 计算机科学 2024-11-01 Axel Klawonn , Martin Lanser , Janine Weber

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…

计算机视觉与模式识别 · 计算机科学 2023-12-12 Joshua Ball

Available data in machine learning applications is becoming increasingly complex, due to higher dimensionality and difficult classes. There exists a wide variety of approaches to measuring complexity of labeled data, according to class…

机器学习 · 计算机科学 2021-11-12 David Charte , Francisco Charte , Francisco Herrera

Conventional multiple testing procedures often assume hypotheses for different features are exchangeable. However, in many scientific applications, additional covariate information regarding the patterns of signals and nulls are available.…

统计方法学 · 统计学 2020-06-12 Xianyang Zhang , Jun Chen

Feature selection is a dimensionality reduction technique that selects a subset of representative features from high dimensional data by eliminating irrelevant and redundant features. Recently, feature selection combined with sparse…

计算机视觉与模式识别 · 计算机科学 2018-04-24 Siwei Feng , Marco F. Duarte

In this paper we propose an approach for learning low dimensional optimized feature space with minimum intra-class variance and maximum inter-class variance. We address the problem of high-dimensionality of feature vectors extracted from…

图像与视频处理 · 电气工程与系统科学 2020-01-31 Abin Jose , Erik Stefan Ottlik , Christian Rohlfing , Jens-Rainer Ohm

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…

机器学习 · 统计学 2015-01-13 Dong Xia

We show that for unconstrained Deep Linear Discriminant Analysis (LDA) classifiers, maximum-likelihood training admits pathological solutions in which class means drift together, covariances collapse, and the learned representation becomes…

机器学习 · 统计学 2026-01-06 Maxat Tezekbayev , Rustem Takhanov , Arman Bolatov , Zhenisbek Assylbekov

Test-time adaptation (TTA) refers to adjusting the model during the testing phase to cope with changes in sample distribution and enhance the model's adaptability to new environments. In real-world scenarios, models often encounter samples…

计算机视觉与模式识别 · 计算机科学 2025-11-18 Ziqiong Liu , Yushun Tang , Junyang Ji , Zhihai He

Federated learning is a machine learning paradigm in which multiple devices collaboratively train a model under the supervision of a central server while ensuring data privacy. However, its performance is often hindered by redundant,…

计算机视觉与模式识别 · 计算机科学 2026-04-30 Emre Ardıç , Yakup Genç

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…

统计计算 · 统计学 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…

统计方法学 · 统计学 2025-04-16 Dan Zhuang , Long Feng

This paper is concerned with matching feature vectors in a one-to-one fashion across large collections of datasets. Formulating this task as a multidimensional assignment problem with decomposable costs (MDADC), we develop extremely fast…

统计计算 · 统计学 2021-01-07 David Degras

Feature subsampling is a core component of random forests and other ensemble methods. While recent theory suggests that this randomization acts solely as a variance reduction mechanism analogous to ridge regularization, these results…

机器学习 · 统计学 2026-01-06 Xin Chen , Jason M. Klusowski , Yan Shuo Tan , Chang Yu

Training large-scale recommendation models under a single global objective implicitly assumes homogeneity across user populations. However, real-world data are composites of heterogeneous cohorts with distinct conditional distributions. As…

There are a variety of choices to be made in both computer algebra systems (CASs) and satisfiability modulo theory (SMT) solvers which can impact performance without affecting mathematical correctness. Such choices are candidates for…

符号计算 · 计算机科学 2021-06-17 Dorian Florescu , Matthew England

In high dimensional regression, feature clustering by their effects on outcomes is often as important as feature selection. For that purpose, clustered Lasso and octagonal shrinkage and clustering algorithm for regression (OSCAR) are used…

机器学习 · 统计学 2020-06-17 Atsumori Takahashi , Shunichi Nomura

Discriminant analysis is a useful classification method. Variable selection for discriminant analysis is becoming more and more im- portant in a high-dimensional setting. This paper is concerned with the binary-class problems of main and…

统计方法学 · 统计学 2017-02-16 Deqiang Zheng , Jinzhu Jia , Xiangzhong Fang , Xiuhua Guo

Feature selection plays a pivotal role in learning, particularly in areas were parsimonious features can provide insight into the underlying process, such as biology. Recent approaches for non-linear feature selection employing greedy…

机器学习 · 计算机科学 2013-11-25 Dimitrios Athanasakis , John Shawe-Taylor , Delmiro Fernandez-Reyes

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…

应用统计 · 统计学 2011-01-06 Tong Tong Wu , Kenneth Lange