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Advanced representation learning techniques require reliable and general evaluation methods. Recently, several algorithms based on the common idea of geometric and topological analysis of a manifold approximated from the learned data…

Machine Learning · Computer Science 2022-02-15 Petra Poklukar , Vladislav Polianskii , Anastasia Varava , Florian Pokorny , Danica Kragic

Prevalent predictive coding-based video compression methods rely on a heavy encoder to reduce temporal redundancy, which makes it challenging to deploy them on resource-constrained devices. Since the 1970s, distributed source coding theory…

Image and Video Processing · Electrical Eng. & Systems 2023-04-04 Xinjie Zhang , Jiawei Shao , Jun Zhang

We present a new straightforward principal component analysis (PCA) method based on the diagonalization of the weighted variance-covariance matrix through two spectral decomposition methods: power iteration and Rayleigh quotient iteration.…

Instrumentation and Methods for Astrophysics · Physics 2014-12-16 Ludovic Delchambre

Motivated by the work of Uehara et al. [1], an improved method to recover DC coefficients from AC coefficients of DCT-transformed images is investigated in this work, which finds applications in cryptanalysis of selective multimedia…

Multimedia · Computer Science 2015-03-13 Shujun Li , Junaid Jameel Ahmad , Dietmar Saupe , C. -C. Jay Kuo

Principal components analysis (PCA) is a well-known technique for approximating a tabular data set by a low rank matrix. Here, we extend the idea of PCA to handle arbitrary data sets consisting of numerical, Boolean, categorical, ordinal,…

Machine Learning · Statistics 2015-05-06 Madeleine Udell , Corinne Horn , Reza Zadeh , Stephen Boyd

Multimodal image registration is a challenging but essential step for numerous image-guided procedures. Most registration algorithms rely on the computation of complex, frequently non-differentiable similarity metrics to deal with the…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Matteo Ronchetti , Wolfgang Wein , Nassir Navab , Oliver Zettinig , Raphael Prevost

DPICT is the first learning-based image codec supporting fine granular scalability. In this paper, we describe how to implement two key components of DPICT efficiently: trit-plane slicing and rate-distortion-optimized (RD-optimized) coding.…

Image and Video Processing · Electrical Eng. & Systems 2022-05-10 Seungmin Jeon , Jae-Han Lee , Chang-Su Kim

Quantitative imaging is an important feature of spectral X-ray and CT systems, especially photon-counting CT (PCCT) imaging systems, which is achieved through material decomposition (MD) using spectral measurements. In this work, we present…

Medical Physics · Physics 2026-03-04 Sen Wang , Yirong Yang , Jooho Lee , Grant M. Stevens , Adam S. Wang

FPGAs provide a flexible and efficient platform to accelerate rapidly-changing algorithms for computer vision. The majority of existing work focuses on accelerating image classification, while other fundamental vision problems, including…

Image and Video Processing · Electrical Eng. & Systems 2020-03-25 Qijing Huang , Dequan Wang , Yizhao Gao , Yaohui Cai , Zhen Dong , Bichen Wu , Kurt Keutzer , John Wawrzynek

Joint Photographic Experts Group (JPEG) achieves data compression by quantizing Discrete Cosine Transform (DCT) coefficients, which inevitably introduces compression artifacts. Most existing JPEG quality enhancement methods operate in the…

Image and Video Processing · Electrical Eng. & Systems 2025-06-27 Jing Yang , Qunliang Xing , Mai Xu , Minglang Qiao

The accurate segmentation of Coronary Computed Tomography Angiography (CCTA) images holds substantial clinical value for the early detection and treatment of Coronary Heart Disease (CHD). The Transformer, utilizing a self-attention…

Image and Video Processing · Electrical Eng. & Systems 2023-10-10 Chenchu Xu , Meng Li , Xue Wu

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…

Image and Video Processing · Electrical Eng. & Systems 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 foundational technique in machine learning for dimensionality reduction of high-dimensional datasets. However, PCA could lead to biased outcomes that disadvantage certain subgroups of the underlying…

Machine Learning · Computer Science 2025-03-04 Junhui Shen , Aaron J. Davis , Ding Lu , Zhaojun Bai

{The study of frequency components derived from Discrete Cosine Transform (DCT) has been widely used in image analysis. In recent years it has been observed that significant information can be extrapolated from them about the lifecycle of…

Computer Vision and Pattern Recognition · Computer Science 2024-03-25 Claudio Vittorio Ragaglia , Francesco Guarnera , Sebastiano Battiato

Hyperspectral image classification presents challenges due to spectral redundancy and complex spatial-spectral dependencies. This paper proposes a novel framework, DCT-Mamba3D, for hyperspectral image classification. DCT-Mamba3D…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Weijia Cao , Xiaofei Yang , Yicong Zhou , Zheng Zhang

Principal Component Analysis (PCA) is a commonly used tool for dimension reduction in analyzing high dimensional data; Multilinear Principal Component Analysis (MPCA) has the potential to serve the similar function for analyzing tensor…

Statistics Theory · Mathematics 2011-04-29 Hung Hung , Pei-Shien Wu , I-Ping Tu , Su-Yun Huang

Principal components analysis (PCA) is a classical method for the reduction of dimensionality of data in the form of n observations (or cases) of a vector with p variables. For a simple model of factor analysis type, it is proved that…

Statistics Theory · Mathematics 2009-01-29 Iain M Johnstone , Arthur Yu Lu

Recently, introducing Tensor Decomposition (TD) techniques into unsupervised feature selection (UFS) has been an emerging research topic. A tensor structure is beneficial for mining the relations between different modes and helps relieve…

Machine Learning · Computer Science 2025-07-04 Junjing Zheng , Xinyu Zhang , Weidong Jiang , Xiangfeng Qiu , Mingjian Ren

In this thesis, a completely revisited data protection scheme based on selective encryption is presented. First, this new scheme is agnostic in term of data format, second it has a parallel architecture using GPGPU allowing performance to…

Cryptography and Security · Computer Science 2018-03-14 Han Qiu

Principal component analysis (PCA) can be significantly limited when there is too few examples of the target data of interest. We propose a transfer learning approach to PCA (TL-PCA) where knowledge from a related source task is used in…

Machine Learning · Computer Science 2024-10-15 Sharon Hendy , Yehuda Dar
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