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Principal component analysis (PCA) is arguably the most widely used dimension-reduction method for vector-type data. When applied to a sample of images, PCA requires vectorization of the image data, which in turn entails solving an…

图像与视频处理 · 电气工程与系统科学 2021-03-02 Szu-Chi Chung , Shao-Hsuan Wang , Po-Yao Niu , Su-Yun Huang , Wei-Hau Chang , I-Ping Tu

Principal component analysis (PCA) is a widely used unsupervised dimensionality reduction technique in machine learning, applied across various fields such as bioinformatics, computer vision and finance. However, when the response variables…

应用统计 · 统计学 2025-06-25 Theodosios Papazoglou , Guosheng Yin

This is a tutorial and survey paper on unification of spectral dimensionality reduction methods, kernel learning by Semidefinite Programming (SDP), Maximum Variance Unfolding (MVU) or Semidefinite Embedding (SDE), and its variants. We first…

机器学习 · 统计学 2022-08-04 Benyamin Ghojogh , Ali Ghodsi , Fakhri Karray , Mark Crowley

Despite the rapid development of computational hardware, the treatment of large and high dimensional data sets is still a challenging problem. This paper provides a twofold contribution to the topic. First, we propose a Gaussian Mixture…

Canonical Correlation Analysis (CCA) is a statistical technique used to extract common information from multiple data sources or views. It has been used in various representation learning problems, such as dimensionality reduction, word…

机器学习 · 计算机科学 2020-06-18 Benjamin Dutton

Visual saliency is a fundamental problem in both cognitive and computational sciences, including computer vision. In this CVPR 2015 paper, we discover that a high-quality visual saliency model can be trained with multiscale features…

计算机视觉与模式识别 · 计算机科学 2015-04-13 Guanbin Li , Yizhou Yu

The VVC codec is applied to the task of multispectral image (MSI) compression using adaptive and scalable coding structures. In a 'plain' VVC approach, concepts from picture-to-picture temporal prediction are employed for decorrelation…

图像与视频处理 · 电气工程与系统科学 2023-01-11 Philipp Seltsam , Priyanka Das , Mathias Wien

Subspace methods like canonical variate analysis (CVA) are regression based methods for the estimation of linear dynamic state space models. They have been shown to deliver accurate (consistent and asymptotically equivalent to quasi maximum…

统计方法学 · 统计学 2025-02-17 Dietmar Bauer

Dimension reduction is often an important step in the analysis of high-dimensional data. PCA is a popular technique to find the best low-dimensional approximation of high-dimensional data. However, classical PCA is very sensitive to…

统计计算 · 统计学 2019-01-14 Holger Cevallos-Valdiviezo , Stefan Van Aelst

Learning representations of two views of data such that the resulting representations are highly linearly correlated is appealing in machine learning. In this paper, we present a canonical correlation guided learning framework, which allows…

机器学习 · 计算机科学 2024-10-01 Zhiwen Chen , Siwen Mo , Haobin Ke , Steven X. Ding , Zhaohui Jiang , Chunhua Yang , Weihua Gui

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…

机器学习 · 计算机科学 2017-05-04 Zan Gao , Guotai Zhang , Feiping Nie , Hua Zhang

Principal Component Analysis (PCA) is known to be the most widely applied dimensionality reduction approach. A lot of improvements have been done on the traditional PCA, in order to obtain optimal results in the dimensionality reduction of…

计算机视觉与模式识别 · 计算机科学 2020-09-28 Chisom Ezinne Ogbuanya

Canonical Correlation Analysis (CCA) is widely used for multimodal data analysis and, more recently, for discriminative tasks such as multi-view learning; however, it makes no use of class labels. Recent CCA methods have started to address…

机器学习 · 计算机科学 2019-07-19 Heather D. Couture , Roland Kwitt , J. S. Marron , Melissa Troester , Charles M. Perou , Marc Niethammer

We propose a new technique, Singular Vector Canonical Correlation Analysis (SVCCA), a tool for quickly comparing two representations in a way that is both invariant to affine transform (allowing comparison between different layers and…

机器学习 · 统计学 2017-11-09 Maithra Raghu , Justin Gilmer , Jason Yosinski , Jascha Sohl-Dickstein

Curriculum learning techniques are a viable solution for improving the accuracy of automatic models, by replacing the traditional random training with an easy-to-hard strategy. However, the standard curriculum methodology does not…

计算机视觉与模式识别 · 计算机科学 2020-09-23 Petru Soviany

Connected component analysis (CCA) has been heavily used to label binary images and classify segments. However, it has not been well-exploited to segment multi-valued natural images. This work proposes a novel multi-value segmentation…

计算机视觉与模式识别 · 计算机科学 2014-02-12 Dibyendu Mukherjee

Dimensionality reduction algorithms like principal component analysis (PCA) are workhorses of machine learning and neuroscience, but each has well-known limitations. Variants of PCA are simple and interpretable, but not flexible enough to…

机器学习 · 计算机科学 2025-12-01 John J. Vastola , Samuel J. Gershman , Kanaka Rajan

We consider multi-class classification problems for high dimensional data. Following the idea of reduced-rank linear discriminant analysis (LDA), we introduce a new dimension reduction tool with a flavor of supervised principal component…

统计方法学 · 统计学 2017-03-28 Yue Selena Niu , Ning Hao , Bin Dong

Multivariate Analysis (MVA) comprises a family of well-known methods for feature extraction which exploit correlations among input variables representing the data. One important property that is enjoyed by most such methods is uncorrelation…

机器学习 · 计算机科学 2021-12-24 Sergio Muñoz-Romero , Vanessa Gómez-Verdejo , Jerónimo Arenas-García

Noise, an unwanted component in an image, can be the reason for the degradation of Image at the time of transmission or capturing. Noise reduction from images is still a challenging task. Digital Image Processing is a component of Digital…

图像与视频处理 · 电气工程与系统科学 2024-10-31 Sahil Ali Akbar , Ananya Verma