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Quantum photon pairs play a pivotal role in many quantum applications. Metasurfaces, two-dimensional arrays of nanostructures, have been studied intensively to enhance and control pair generation via spontaneous parametric downconversion…

Recently, the deep learning technology has been successfully applied in the field of image compression, leading to superior rate-distortion performance. However, a challenge of many learning-based approaches is that they often achieve…

Image and Video Processing · Electrical Eng. & Systems 2023-08-24 Yongqiang Wang , Feng Liang , Haisheng Fu , Jie Liang , Haipeng Qin , Junzhe Liang

Tensor networks, a model that originated from quantum physics, has been gradually generalized as efficient models in machine learning in recent years. However, in order to achieve exact contraction, only tree-like tensor networks such as…

Computer Vision and Pattern Recognition · Computer Science 2021-03-17 Song Cheng , Lei Wang , Pan Zhang

Low-rank regularization-based deep unrolling networks have achieved remarkable success in various inverse imaging problems (IIPs). However, the singular value decomposition (SVD) is non-differentiable when duplicated singular values occur,…

Numerical Analysis · Mathematics 2024-11-22 Yinghao Zhang , Yue Hu

Transformers have demonstrated promising performance in computer vision tasks, including image super-resolution (SR). The quadratic computational complexity of window self-attention mechanisms in many transformer-based SR methods forces the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Fayaz Ali , Muhammad Zawish , Steven Davy , Radu Timofte

Tensor network methods have proved to be highly effective in addressing a wide variety of physical scenarios, including those lacking an intrinsic one-dimensional geometry. In such contexts, it is possible for the problem to exhibit a weak…

The effective utilization of observational data is frequently hindered by insufficient resolution. To address this problem, we present a new spatio-temporal super-resolution (STSR) model, called InWaveSR. It is built on a deep learning…

Signal Processing · Electrical Eng. & Systems 2025-09-19 Xinjie Wang , Zhongrui Li , Peng Han , Chunxin Yuan , Jiexin Xu , Zhiqiang Wei , Jie Nie

This article provides next step towards solving speed bottleneck of any system that intensively uses convolutions operations (e.g. CNN). Method described in the article is applied on deformable part models (DPM) algorithm. Method described…

Computer Vision and Pattern Recognition · Computer Science 2017-07-12 D. V. Parkhomenko , I. L. Mazurenko

Objective: Ultrasound Shear Wave Elastography (SWE) demonstrates great potential in assessing soft-tissue pathology by mapping tissue stiffness, which is linked to malignancy. Traditional SWE methods have shown promise in estimating tissue…

Image and Video Processing · Electrical Eng. & Systems 2025-05-27 Ahsan Habib Akash , MD Jahin Alam , Md. Kamrul Hasan

We present an extension of the summation-by-parts (SBP) framework to tensor-product spectral-element operators in collapsed coordinates. The proposed approach enables the construction of provably stable discretizations of arbitrary order…

Numerical Analysis · Mathematics 2025-04-29 Tristan Montoya , David W. Zingg

The big data era is swamping areas including data analysis, machine/deep learning, signal processing, statistics, scientific computing, and cloud computing. The multidimensional feature and huge volume of big data put urgent requirements to…

Numerical Analysis · Computer Science 2017-05-05 Xiao-Yang Liu , Xiaodong Wang

To design semiconductor-based optical devices, the optical properties of the used semiconductor materials must be precisely measured over a large band. Transmission spectroscopy stands out as an inexpensive and widely available method for…

Although tensor product real-valued wavelets have been successfully applied to many high-dimensional problems, they can only capture well edge singularities along the coordinate axis directions. As an alternative and improvement of tensor…

Information Theory · Computer Science 2013-07-11 Bin Han , Qun Mo , Zhenpeng Zhao

We present a wavelet-based dual-stream network that addresses color cast and blurry details in underwater images. We handle these artifacts separately by decomposing an input image into multiple frequency bands using discrete wavelet…

Computer Vision and Pattern Recognition · Computer Science 2022-04-28 Ziyin Ma , Changjae Oh

The factorization of three-dimensional data continues to gain attention due to its relevance in representing and compressing large-scale datasets. The linear-map-based tensor-tensor multiplication is a matrix-mimetic operation that extends…

Numerical Analysis · Mathematics 2026-02-11 Susana Lopez-Moreno , June-Ho Lee , Taehyeong Kim

We present a spatially efficient decomposition of matrices and arbitrary-order tensors as linear combinations of tensor products of $\{-1, 1\}$-valued vectors. For any matrix $A \in \mathbb{R}^{m \times n}$, $$A - R_w = S_w C_w T_w^\top =…

Combinatorics · Mathematics 2024-10-03 Alex W. Neal Riasanovsky , Sarah El Kazdadi

Recent advances in meta-optics have enabled diverse functionalities in compact optical devices; however, conventional forward design approaches become inadequate as device complexity and scale grow. Inverse design offers a powerful…

This work presents an independent reproducibility study of a lossy image compression technique that integrates singular value decomposition (SVD) and wavelet difference reduction (WDR). The original paper claims that combining SVD and WDR…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Alena Makarova

We propose a new operator defined between two tensors, the broadcast product. The broadcast product calculates the Hadamard product after duplicating elements to align the shapes of the two tensors. Complex tensor operations in libraries…

Machine Learning · Computer Science 2024-09-27 Yusuke Matsui , Tatsuya Yokota

Weak spectral responses in hyperspectral images are often obscured by dominant endmembers and sensor noise, resulting in inaccurate abundance estimation. This paper introduces WS-Net, a deep unmixing framework specifically designed to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Zekun Long , Ali Zia , Guanyiman Fu , Vivien Rolland , Jun Zhou