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Despite the groundbreaking success of diffusion models in generating high-fidelity images, their latent space remains relatively under-explored, even though it holds significant promise for enabling versatile and interpretable image editing…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Li Wang , Boyan Gao , Yanran Li , Zhao Wang , Xiaosong Yang , David A. Clifton , Jun Xiao

Variational autoencoders (VAEs) have witnessed great success in performing the compression of image datasets. This success, made possible by the bits-back coding framework, has produced competitive compression performance across many…

Image and Video Processing · Electrical Eng. & Systems 2022-04-06 Tom Ryder , Chen Zhang , Ning Kang , Shifeng Zhang

Quantum-inspired singular value decomposition (SVD) is a technique to perform SVD in logarithmic time with respect to the dimension of a matrix, given access to the matrix embedded in a segment-tree data structure. The speedup is possible…

Quantum Physics · Physics 2022-09-27 Iori Takeda , Souichi Takahira , Kosuke Mitarai , Keisuke Fujii

Singular Value Decomposition (SVD) is a technique based on linear projection theory, which has been frequently used for data analysis. It constitutes an optimal (in the sense of least squares) decomposition of a matrix in the most relevant…

Data Analysis, Statistics and Probability · Physics 2015-03-17 Pau Erola , Javier Borge-Holthoefer , Sergio Gomez , Alex Arenas

Higher-order singular value decomposition (HOSVD) is one of the most efficient tensor decomposition techniques. It has the salient ability to represent high_dimensional data and extract features. In more recent years, the quaternion has…

Image and Video Processing · Electrical Eng. & Systems 2021-01-05 Jifei Miao , Kit Ian Kou

The generalized singular value decomposition (GSVD) is a valuable tool that has many applications in computational science. However, computing the GSVD for large-scale problems is challenging. Motivated by applications in hyper-differential…

Numerical Analysis · Mathematics 2020-02-10 Arvind K. Saibaba , Joseph Hart , Bart van Bloemen Waanders

We compare calcium ion signaling ($\mathrm {Ca}^{2+}$) between two exposures; the data are present as movies, or, more prosaically, time series of images. This paper describes novel uses of singular value decompositions (SVD) and weighted…

Deep Neural Networks (DNNs) have encountered an emerging deployment challenge due to large and expensive memory and computation requirements. In this paper, we present a new Adaptive-Rank Singular Value Decomposition (ARSVD) method that…

Machine Learning · Computer Science 2025-05-13 Kalyan Cherukuri , Aarav Lala

In this job we have introduced a filtered adaptive technique that allows highlighting selective seismic events according to its polarization. This technique consists in the implementation of a polarizing filter based on the Single Value…

Geophysics · Physics 2013-11-18 Luque Rubén , Hurtado Nuri y Ovalles Asdrúbal

We propose a compression based continual task learning method that can dynamically grow a neural network. Inspired from the recent model compression techniques, we employ compression-aware training and perform low-rank weight approximations…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Varigonda Pavan Teja , Priyadarshini Panda

This paper presents a randomized quaternion singular value decomposition (QSVD) algorithm for low-rank matrix approximation problems, which are widely used in color face recognition, video compression, and signal processing problems. With…

Numerical Analysis · Mathematics 2021-12-28 Qiaohua Liu , Sitao Ling , Zhigang Jia

To analyze the abundance of multidimensional data, tensor-based frameworks have been developed. Traditionally, the matrix singular value decomposition (SVD) is used to extract the most dominant features from a matrix containing the…

Machine Learning · Computer Science 2021-11-02 Katherine Keegan , Tanvi Vishwanath , Yihua Xu

The tensor-train (TT) decomposition is widely used to compress large tensors into a more compact form by exploiting their inherent data structures. A fundamental approach for constructing the TT format is the well-known TT-SVD method, which…

Numerical Analysis · Mathematics 2026-05-26 Yuchao Wang , Maolin Che , Yimin Wei

Lossy image compression is generally formulated as a joint rate-distortion optimization to learn encoder, quantizer, and decoder. However, the quantizer is non-differentiable, and discrete entropy estimation usually is required for rate…

Computer Vision and Pattern Recognition · Computer Science 2017-09-20 Mu Li , Wangmeng Zuo , Shuhang Gu , Debin Zhao , David Zhang

In this paper, we propose an image compression algorithm called Microshift. We employ an algorithm hardware co-design methodology, yielding a hardware-friendly compression approach with low power consumption. In our method, the image is…

Image and Video Processing · Electrical Eng. & Systems 2021-04-21 Bo Zhang , Pedro V. Sander , Chi-Ying Tsui , Amine Bermak

It has long been considered a significant problem to improve the visual quality of lossy image and video compression. Recent advances in computing power together with the availability of large training data sets has increased interest in…

Multimedia · Computer Science 2017-03-30 Aaditya Prakash , Nick Moran , Solomon Garber , Antonella DiLillo , James Storer

Many current watermarking algorithms insert data in the spatial or transform domains like the discrete cosine, the discrete Fourier, and the discrete wavelet transforms. In this paper, we present a data-hiding algorithm that exploits the…

Multimedia · Computer Science 2010-12-13 Rashmi Agarwal , M. S. Santhanam

Learning-based lossy image compression usually involves the joint optimization of rate-distortion performance. Most existing methods adopt spatially invariant bit length allocation and incorporate discrete entropy approximation to constrain…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Mu Li , Wangmeng Zuo , Shuhang Gu , Jane You , David Zhang

The randomized singular value decomposition (SVD) is a popular and effective algorithm for computing a near-best rank $k$ approximation of a matrix $A$ using matrix-vector products with standard Gaussian vectors. Here, we generalize the…

Numerical Analysis · Mathematics 2022-01-24 Nicolas Boullé , Alex Townsend

This paper proposes a novel fragile watermarking scheme for digital image authentication which is based on Singular Value Decomposition(SVD) and grouped blocks. The watermark bits which include two types of bits are inserted into the least…

Cryptography and Security · Computer Science 2015-02-12 Qingbo Kang , Ke Li , Hu Chen
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