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This paper introduced a matrix parametrization method based on the Loeffler discrete cosine transform (DCT) algorithm. As a result, a new class of eight-point DCT approximations was proposed, capable of unifying the mathematical formalism…

Image and Video Processing · Electrical Eng. & Systems 2022-08-01 D. F. G. Coelho , R. J. Cintra , F. M. Bayer , S. Kulasekera , A. Madanayake , P. A. C. Martinez , T. L. T. Silveira , R. S. Oliveira , V. S. Dimitrov

The Internet has turned the entire world into a small village;this is because it has made it possible to share millions of images and videos. However, sending and receiving a huge amount of data is considered to be a main challenge. To…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Hassan Mohamed Muhi-Aldeen , Asma A. Abdulrahman , Jabbar Abed Eleiwy , Fouad S. Tahir , Yurii Khlaponin

The discrete Hartley transform (DHT) is a useful tool for medical image coding. The three-dimensional DHT (3D DHT) can be employed to compress medical image data, such as magnetic resonance and X-ray angiography. However, the computation of…

Signal Processing · Electrical Eng. & Systems 2022-06-02 V. A. Coutinho , F. M. Bayer , R. J. Cintra

The Karhunen-Loeve (KL) transform can compactly represent the information contained in large, complex datasets, cleanly eliminating noise from the data and identifying elements of the dataset with extreme or inconsistent characteristics. We…

Astrophysics of Galaxies · Physics 2015-05-18 Todd A. Boroson , Tod R. Lauer

Matrices are exceptionally useful in various fields of study as they provide a convenient framework to organize and manipulate data in a structured manner. However, modern matrices can involve billions of elements, making their storage and…

Machine Learning · Computer Science 2023-10-18 Rajarshi Saha , Varun Srivastava , Mert Pilanci

A low-complexity 8-point orthogonal approximate DCT is introduced. The proposed transform requires no multiplications or bit-shift operations. The derived fast algorithm requires only 14 additions, less than any existing DCT approximation.…

Multimedia · Computer Science 2017-02-06 F. M. Bayer , R. J. Cintra

Invertible image representation methods (transforms) are routinely employed as low-level image processing operations based on which feature extraction and recognition algorithms are developed. Most transforms in current use (e.g. Fourier,…

Computer Vision and Pattern Recognition · Computer Science 2016-01-20 Soheil Kolouri , Se Rim Park , Gustavo K. Rohde

An orthogonal 16-point approximate discrete cosine transform (DCT) is introduced. The proposed transform requires neither multiplications nor bit-shifting operations. A fast algorithm based on matrix factorization is introduced, requiring…

Computer Vision and Pattern Recognition · Computer Science 2016-06-24 T. L. T. Silveira , R. S. Oliveira , F. M. Bayer , R. J. Cintra , A. Madanayake

Images are a substantial portion of the internet, making efficient compression important for reducing storage and bandwidth demands. This study investigates the use of Singular Value Decomposition and low-rank matrix approximations for…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Justin Jiang

The application of the context-adaptive entropy model significantly improves the rate-distortion (R-D) performance, in which hyperpriors and autoregressive models are jointly utilized to effectively capture the spatial redundancy of the…

Image and Video Processing · Electrical Eng. & Systems 2022-09-09 Haisheng Fu , Feng Liang

With the increasing growth of technology and the entrance into the digital age, we have to handle a vast amount of information every time which often presents difficulties. So, the digital information must be stored and retrieved in an…

Multimedia · Computer Science 2012-08-15 Kamrul Hasan Talukder , Koichi Harada

We address the challenge of applying existing convolutional neural network (CNN) architectures to compressed images. Existing CNN architectures represent images as a matrix of pixel intensities with a specified dimension; this desired…

Computer Vision and Pattern Recognition · Computer Science 2019-11-22 Christopher A. George , Bradley M. West

Low-rank matrix approximation (LRMA) is a powerful technique for signal processing and pattern analysis. However, its potential for data compression has not yet been fully investigated in the literature. In this paper, we propose sparse…

Multimedia · Computer Science 2016-02-22 Junhui Hou , Lap-Pui Chau , Nadia Magnenat-Thalmann , Ying He

Light field (LF) images containing information for multiple views have numerous applications, which can be severely affected by low-light imaging. Recent learning-based methods for low-light enhancement have some disadvantages, such as a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Shansi Zhang , Nan Meng , Edmund Y. Lam

Current learned image compression models typically exhibit high complexity, which demands significant computational resources. To overcome these challenges, we propose an innovative approach that employs hierarchical feature extraction…

Image and Video Processing · Electrical Eng. & Systems 2025-05-01 Ayman A. Ameen , Thomas Richter , André Kaup

Near-lossless image compression-decompression scheme is proposed in this paper using Zipper Transformation (ZT) and inverse zipper transformation (iZT). The proposed ZT exploits the conjugate symmetry property of Discrete Fourier…

Image and Video Processing · Electrical Eng. & Systems 2017-10-11 Babajide O. Ayinde

In many state-of-the-art compression systems, signal transformation is an integral part of the encoding and decoding process, where transforms provide compact representations for the signals of interest. This paper introduces a class of…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Hilmi E. Egilmez , Yung-Hsuan Chao , Antonio Ortega

Due to the substantial scale of Large Language Models (LLMs), the direct application of conventional compression methodologies proves impractical. The computational demands associated with even minimal gradient updates present challenges,…

Machine Learning · Computer Science 2023-12-13 Arnav Chavan , Nahush Lele , Deepak Gupta

Kernel logistic regression (KLR) is a conventional nonlinear classifier in machine learning. With the explosive growth of data size, the storage and computation of large dense kernel matrices is a major challenge in scaling KLR. Even the…

Machine Learning · Computer Science 2022-07-29 Junna Zhang , Shuisheng Zhou , Cui Fu , Feng Ye

We consider the case when a set of spatially distributed sensors make local observations which are noisy versions of a signal of interest. Each sensor transmits compressed information about its measurements to the fusion center which should…

Information Theory · Computer Science 2015-08-20 Alex Grant , Anatoli Torokhti , Pablo Soto-Quiros