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Tensor models play an increasingly prominent role in many fields, notably in machine learning. In several applications, such as community detection, topic modeling and Gaussian mixture learning, one must estimate a low-rank signal from a…

Machine Learning · Statistics 2022-06-16 José Henrique de Morais Goulart , Romain Couillet , Pierre Comon

In this paper, we study multi-dimensional image recovery. Recently, transform-based tensor nuclear norm minimization methods are considered to capture low-rank tensor structures to recover third-order tensors in multi-dimensional image…

Image and Video Processing · Electrical Eng. & Systems 2022-06-15 Yi-Si Luo , Xi-Le Zhao , Tai-Xiang Jiang , Yi Chang , Michael K. Ng , Chao Li

Image quality is an important practical challenge that is often overlooked in the design of machine vision systems. Commonly, machine vision systems are trained and tested on high quality image datasets, yet in practical applications the…

Computer Vision and Pattern Recognition · Computer Science 2016-04-25 Samuel Dodge , Lina Karam

We present a deep neural network to reduce coherent noise in three-dimensional quantitative phase imaging. Inspired by the cycle generative adversarial network, the denoising network was trained to learn a transform between two image…

The current methods for learning representations with auto-encoders almost exclusively employ vectors as the latent representations. In this work, we propose to employ a tensor product structure for this purpose. This way, the obtained…

Machine Learning · Computer Science 2023-09-01 Michael Rotman , Amit Dekel , Shir Gur , Yaron Oz , Lior Wolf

Current top-notch deep learning (DL) based vision models are primarily based on exploring and exploiting the inherent correlations between training data samples and their associated labels. However, a known practical challenge is their…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Chao-Han Huck Yang , I-Te Danny Hung , Yi-Chieh Liu , Pin-Yu Chen

Tensors, which give a faithful and effective representation to deliver the intrinsic structure of multi-dimensional data, play a crucial role in an increasing number of signal processing and machine learning problems. However, tensor data…

Machine Learning · Statistics 2026-02-17 Tong Wu

Access to quantum computing is steadily increasing each year as the speed advantage of quantum computers solidifies with the growing number of usable qubits. However, the inherent noise encountered when running these systems can lead to…

Quantum Physics · Physics 2024-09-24 Jon Gardeazabal-Gutierrez , Erik B. Terres-Escudero , Pablo García Bringas

Tensor decomposition of high-dimensional data often struggles to capture semantically or physically meaningful structures, particularly when relying on reconstruction objectives and fixed-rank constraints. We introduce a no-rank tensor…

Machine Learning · Computer Science 2026-03-03 Maryam Bagherian

Noise in image sensors led to the development of a whole range of denoising filters. A noisy image can become hard to recognize and often require several types of post-processing compensation circuits. This paper proposes an adaptive…

Image and Video Processing · Electrical Eng. & Systems 2022-09-27 O. Krestinskaya , K. N. Salama , A. P. James

Denoising Score Matching estimates the score of a noised version of a target distribution by minimizing a regression loss and is widely used to train the popular class of Denoising Diffusion Models. A well known limitation of Denoising…

Machine Learning · Computer Science 2024-02-14 Valentin De Bortoli , Michael Hutchinson , Peter Wirnsberger , Arnaud Doucet

Treating images as data has become increasingly popular in political science. While existing classifiers for images reach high levels of accuracy, it is difficult to systematically assess the visual features on which they base their…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Stefan Scholz , Nils B. Weidmann , Zachary C. Steinert-Threlkeld , Eda Keremoğlu , Bastian Goldlücke

Decoding algorithms based on approximate tensor network contraction have proven tremendously successful in decoding 2D local quantum codes such as surface/toric codes and color codes, effectively achieving optimal decoding accuracy. In this…

Quantum Physics · Physics 2024-10-10 Christophe Piveteau , Christopher T. Chubb , Joseph M. Renes

Currently, many blind deblurring methods assume blurred images are noise-free and perform unsatisfactorily on the blurry images with noise. Unfortunately, noise is quite common in real scenes. A straightforward solution is to denoise images…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Si Miao , Yongxin Zhu

An unbiased estimator for the ellipticity of an object in a noisy image is given in terms of the image moments. Three assumptions are made: i) the pixel noise is normally distributed, although with arbitrary covariance matrix, ii) the image…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-09 Nicolas Tessore

Images captured in low-light environment often suffer from complex degradation. Simply adjusting light would inevitably result in burst of hidden noise and color distortion. To seek results with satisfied lighting, cleanliness, and realism…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Qiming Hu , Xiaojie Guo

The presence of noise is common in signal processing regardless the signal type. Deep neural networks have shown good performance in noise removal, especially on the image domain. In this work, we consider deep neural networks as a…

Machine Learning · Computer Science 2020-07-07 Leslie Casas , Attila Klimmek , Nassir Navab , Vasileios Belagiannis

High-order clustering aims to classify objects in multiway datasets that are prevalent in various fields such as bioinformatics, recommendation systems, and social network analysis. Such data are often sparse and high-dimensional, posing…

Statistics Theory · Mathematics 2025-12-05 Ian Välimaa , Lasse Leskelä

Higher-order tensor datasets arise commonly in recommendation systems, neuroimaging, and social networks. Here we develop probable methods for estimating a possibly high rank signal tensor from noisy observations. We consider a generative…

Methodology · Statistics 2023-04-11 Chanwoo Lee , Miaoyan Wang

Imaging polarimetry allows more information to be extracted from a scene than conventional intensity or colour imaging. However, a major challenge of imaging polarimetry is image degradation due to noise. This paper investigates the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-09 Alexander B. Tibbs , Ilse M. Daly , Nicholas W. Roberts , David R. Bull