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Transformations for enhancing sparsity in the approximation of color images by 2D atomic decomposition are discussed. The sparsity is firstly considered with respect to the most significant coefficients in the wavelet decomposition of the…

Image and Video Processing · Electrical Eng. & Systems 2021-05-17 Laura Rebollo-Neira , Aurelien Inacio

Background: Limited-angle (LA) dual-energy (DE) cone-beam CT (CBCT) is considered as a potential solution to achieve fast and low-dose DE imaging on current CBCT scanners without hardware modification. However, its clinical implementations…

Principal component analysis (PCA) is a fundamental technique for dimensionality reduction and denoising; however, its application to three-dimensional data with arbitrary orientations -- common in structural biology -- presents significant…

Signal Processing · Electrical Eng. & Systems 2025-10-22 Michael Fraiman , Paulina Hoyos , Tamir Bendory , Joe Kileel , Oscar Mickelin , Nir Sharon , Amit Singer

The difference-of-convex algorithm (DCA) and its variants are the most popular methods to solve the difference-of-convex optimization problem. Each iteration of them is reduced to a convex optimization problem, which generally needs to be…

Optimization and Control · Mathematics 2025-05-19 Songnian He , Qiao-Li Dong , Michael Th. Rassias

The large volume of electroencephalograph (EEG) data produced by brain-computer interface (BCI) systems presents challenges for rapid transmission over bandwidth-limited channels in Internet of Things (IoT) networks. To address the issue,…

Signal Processing · Electrical Eng. & Systems 2025-03-14 Xin Zhu , Hongyi Pan , Ahmet Enis Cetin

Machine learning techniques provide a chance to explore the coding performance potential of transform. In this work, we propose an explainable transform based intra video coding to improve the coding efficiency. Firstly, we model machine…

Image and Video Processing · Electrical Eng. & Systems 2020-12-22 Na Li , Yun Zhang , C. -C. Jay Kuo

Convolutional neural networks (CNNs) learn filters in order to capture local correlation patterns in feature space. We propose to learn these filters as combinations of preset spectral filters defined by the Discrete Cosine Transform (DCT).…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Matej Ulicny , Vladimir A. Krylov , Rozenn Dahyot

By presenting an approximated performance-complexity tradeoff (PCT) algorithm,a low-complexity non-binary low density parity check (LDPC) code over q-ary-input symmetric-output channel is designed in this manuscript which converges faster…

Signal Processing · Electrical Eng. & Systems 2020-03-03 Yang Yu , Wen Chen

Principal Component Analysis (PCA) is a well known procedure to reduce intrinsic complexity of a dataset, essentially through simplifying the covariance structure or the correlation structure. We introduce a novel algebraic, model-based…

Methodology · Statistics 2021-12-09 Martin Schlather , Felix Reinbott

Cryo-electron microscopy nowadays often requires the analysis of hundreds of thousands of 2D images as large as a few hundred pixels in each direction. Here we introduce an algorithm that efficiently and accurately performs principal…

Computer Vision and Pattern Recognition · Computer Science 2015-12-16 Zhizhen Zhao , Yoel Shkolnisky , Amit Singer

The Principal Component Analysis (PCA) is a data dimensionality reduction technique well-suited for processing data from sensor networks. It can be applied to tasks like compression, event detection, and event recognition. This technique is…

Networking and Internet Architecture · Computer Science 2010-03-13 Yann-Aël Le Borgne , Sylvain Raybaud , Gianluca Bontempi

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…

Quantitative Methods · Quantitative Biology 2018-10-18 Luigi Leonardo Palese

The research detailed in this paper scrutinizes Principal Component Analysis (PCA), a seminal method employed in statistics and machine learning for the purpose of reducing data dimensionality. Singular Value Decomposition (SVD) is often…

Methodology · Statistics 2024-04-02 Donggun Kim , Kisung You

Two multiplierless algorithms are proposed for 4x4 approximate-DCT for transform coding in digital video. Computational architectures for 1-D/2-D realisations are implemented using Xilinx FPGA devices. CMOS synthesis at the 45 nm node…

Hardware Architecture · Computer Science 2014-05-05 F. M. Bayer , R. J. Cintra , A. Madanayake , U. S. Potluri

A realistic 3D anthropomorphic software model of microcalcifications may serve as a useful tool to assess the performance of breast imaging applications through simulations. We present a method allowing to simulate visually realistic…

The $k$-principal component analysis ($k$-PCA) problem is a fundamental algorithmic primitive that is widely-used in data analysis and dimensionality reduction applications. In statistical settings, the goal of $k$-PCA is to identify a top…

Numerical Analysis · Mathematics 2024-06-12 Arun Jambulapati , Syamantak Kumar , Jerry Li , Shourya Pandey , Ankit Pensia , Kevin Tian

Recently the widely used multi-view learning model, Canonical Correlation Analysis (CCA) has been generalised to the non-linear setting via deep neural networks. Existing deep CCA models typically first decorrelate the feature dimensions of…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Xiaobin Chang , Tao Xiang , Timothy M. Hospedales

Principal component analysis (PCA) is a widely employed statistical tool used primarily for dimensionality reduction. However, it is known to be adversely affected by the presence of outlying observations in the sample, which is quite…

Methodology · Statistics 2023-09-26 Subhrajyoty Roy , Ayanendranath Basu , Abhik Ghosh

Face Recognition using Discrete Cosine Transform (DCT) for Local and Global Features involves recognizing the corresponding face image from the database. The face image obtained from the user is cropped such that only the frontal face image…

Computer Vision and Pattern Recognition · Computer Science 2020-09-02 Aman R. Chadha , Pallavi P. Vaidya , M. Mani Roja

Patch-based low-rank minimization for image processing attracts much attention in recent years. The minimization of the matrix rank coupled with the Frobenius norm data fidelity can be solved by the hard thresholding filter with principle…

Computer Vision and Pattern Recognition · Computer Science 2018-02-22 Haijuan Hu , Jacques Froment , Quansheng Liu