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相关论文: Feature Selection based on Principal Component Ana…

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Understanding feature representation for deep neural networks (DNNs) remains an open question within the general field of explainable AI. We use principal component analysis (PCA) to study the performance of a k-nearest neighbors classifier…

机器学习 · 计算机科学 2023-09-28 Amit Harlev , Andrew Engel , Panos Stinis , Tony Chiang

This paper concerns the critical decision process of extracting or selecting the features before applying a clustering algorithm. It is not obvious to evaluate the importance of the features since the most popular methods to do it are…

机器学习 · 计算机科学 2021-11-23 Jean-Sebastien Dessureault , Daniel Massicotte

Principal component analysis (PCA) is a classical dimension reduction method which projects data onto the principal subspace spanned by the leading eigenvectors of the covariance matrix. However, it behaves poorly when the number of…

统计理论 · 数学 2013-05-27 Zongming Ma

Recovering a low-rank matrix from highly corrupted measurements arises in compressed sensing of structured high-dimensional signals (e.g., videos and hyperspectral images among others). Robust principal component analysis (RPCA), solved via…

最优化与控制 · 数学 2022-06-28 Vahan Hovhannisyan , Yannis Panagakis , Panos Parpas , Stefanos Zafeiriou

Robust principal component analysis (RPCA) seeks a low-rank component and a sparse component from their summation. Yet, in many applications of interest, the sparse foreground actually replaces, or occludes, elements from the low-rank…

计算机视觉与模式识别 · 计算机科学 2026-04-23 Yinjian Wang , Wei Li , Yuanyuan Gui , James E. Fowler , Gemine Vivone

Principal Component Analysis (PCA) is a very successful dimensionality reduction technique, widely used in predictive modeling. A key factor in its widespread use in this domain is the fact that the projection of a dataset onto its first…

机器学习 · 统计学 2017-05-19 Xianghui Luo , Robert J. Durrant

Principal Component Analysis (PCA) is a well-known multivariate technique used to decorrelate a set of vectors. PCA has been extensively applied in the past to the classification of stellar and galaxy spectra. Here we apply PCA to the…

天体物理学 · 物理学 2007-05-23 I. Ferreras , B. Rogers , O. Lahav , .

This paper compares two neural network input selection schemes, the Principal Component Analysis (PCA) and the Automatic Relevance Determination (ARD) based on Mac-Kay's evidence framework. The PCA takes all the input data and projects it…

计算工程、金融与科学 · 计算机科学 2007-05-23 L. Mdlazi , T. Marwala , C. J. Stander , C. Scheffer , P. S. Heyns

In recent times, functional data analysis (FDA) has been successfully applied in the field of high dimensional data classification. In this paper, we present a novel classification framework using functional data and classwise Principal…

机器学习 · 统计学 2021-06-29 Avishek Chatterjee , Satyaki Mazumder , Koel Das

Principal component analysis (PCA) is a widespread technique for data analysis that relies on the covariance-correlation matrix of the analyzed data. However to properly work with high-dimensional data, PCA poses severe mathematical…

定量方法 · 定量生物学 2018-10-18 Luigi Leonardo Palese

Principal component analysis (PCA) is an important tool in exploring data. The conventional approach to PCA leads to a solution which favours the structures with large variances. This is sensitive to outliers and could obfuscate interesting…

统计方法学 · 统计学 2015-06-16 A. A. Akinduko , A. N. Gorban

Hyperspectral optical imaging provides rich spectral information for estimating continuous environmental and material parameters; however, its high dimensionality and strong feature correlation pose significant challenges for machine…

光学 · 物理学 2025-12-18 Parisa Parand , Mahmoud Samadpour

In this paper, we propose a novel approach named by Discriminative Principal Component Analysis which is abbreviated as Discriminative PCA in order to enhance separability of PCA by Linear Discriminant Analysis (LDA). The proposed method…

计算机视觉与模式识别 · 计算机科学 2019-03-13 Hanli Qiao

Principal Component Analysis (PCA) is a popular tool for dimensionality reduction and feature extraction in data analysis. There is a probabilistic version of PCA, known as Probabilistic PCA (PPCA). However, standard PCA and PPCA are not…

机器学习 · 计算机科学 2019-04-16 Bowen Zhao , Xi Xiao , Wanpeng Zhang , Bin Zhang , Shutao Xia

This paper introduces the Class-wise Principal Component Analysis, a supervised feature extraction method for hyperspectral data. Hyperspectral Imaging (HSI) has appeared in various fields in recent years, including Remote Sensing.…

计算机视觉与模式识别 · 计算机科学 2021-04-12 Dimitra Koumoutsou , Eleni Charou , Georgios Siolas , Giorgos Stamou

Principal component analysis (PCA) is an unsupervised method for learning low-dimensional features with orthogonal projections. Multilinear PCA methods extend PCA to deal with multidimensional data (tensors) directly via tensor-to-tensor…

机器学习 · 统计学 2015-05-08 Qiquan Shi , Haiping Lu

Sparse Principal Component Analysis (sPCA) is a cardinal technique for obtaining combinations of features, or principal components (PCs), that explain the variance of high-dimensional datasets in an interpretable manner. This involves…

最优化与控制 · 数学 2025-12-02 Ryan Cory-Wright , Jean Pauphilet

Monitoring multichannel profiles has important applications in manufacturing systems improvement, but it is non-trivial to develop efficient statistical methods due to two main challenges. First, profiles are high-dimensional functional…

应用统计 · 统计学 2016-03-18 Yuan Wang , Kamran Paynabar , Yajun Mei

One of the most powerful methods of color image recognition is the two-dimensional principle component analysis (2DQPCA) approach, which is based on quaternion representation and preserves color information very well. However, the current…

计算机视觉与模式识别 · 计算机科学 2023-06-13 Zhi-Gang Jia , Zi-Jin Qiu , Qian-Yu Wang , Mei-Xiang Zhao , Dan-Dan Zhu

For open vocabulary recognition of ingredients in food images, segmenting the ingredients is a crucial step. This paper proposes a novel approach that explores PCA-based feature representations of image pixels using a convolutional neural…

计算机视觉与模式识别 · 计算机科学 2025-10-10 Ying Dai