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This paper proposes an estimation framework to assess the performance of sorting over perturbed/noisy data. In particular, the recovering accuracy is measured in terms of Minimum Mean Square Error (MMSE) between the values of the sorting…

信息论 · 计算机科学 2019-09-04 Alex Dytso , Martina Cardone , H. Vincent Poor

In various Computer Vision and Signal Processing applications, noise is typically perceived as a drawback of the image capturing system that ought to be removed. We, on the other hand, claim that image noise, just as texture, is important…

计算机视觉与模式识别 · 计算机科学 2018-03-28 Renata Khasanova , Jan Wassenberg , Jyrki Alakuijala

Image denoising has achieved unprecedented progress as great efforts have been made to exploit effective deep denoisers. To improve the denoising performance in realworld, two typical solutions are used in recent trends: devising better…

图像与视频处理 · 电气工程与系统科学 2022-04-06 Yunhao Zou , Ying Fu

In this paper we propose a measure of anisotropy as a quality parameter to estimate the amount of noise in noisy images. The anisotropy of an image can be determined through a directional measure, using an appropriate statistical…

计算机视觉与模式识别 · 计算机科学 2011-06-30 Salvador Gabarda , Gabriel Cristobal

Tensor completion can estimate missing values of a high-order data from its partially observed entries. Recent works show that low rank tensor ring approximation is one of the most powerful tools to solve tensor completion problem. However,…

数值分析 · 数学 2021-01-03 Abdul Ahad , Zhen Long , Ce Zhu , Yipeng Liu

Recently, the low-rank property of different components extracted from the image has been considered in man hyperspectral image denoising methods. However, these methods usually unfold the 3D tensor to 2D matrix or 1D vector to exploit the…

计算机视觉与模式识别 · 计算机科学 2021-11-16 Hang Zhou , Yanchi Su , Zhanshan Li

Filtering multi-dimensional images such as color images, color videos, multispectral images and magnetic resonance images is challenging in terms of both effectiveness and efficiency. Leveraging the nonlocal self-similarity (NLSS)…

图像与视频处理 · 电气工程与系统科学 2020-11-09 Zhaoming Kong , Xiaowei Yang , Lifang He

Tensor clustering, which seeks to extract underlying cluster structures from noisy tensor observations, has gained increasing attention. One extensively studied model for tensor clustering is the tensor block model, which postulates the…

统计理论 · 数学 2023-11-07 Yuchen Zhou , Yuxin Chen

The denoising process of diffusion models can be interpreted as an approximate projection of noisy samples onto the data manifold. Moreover, the noise level in these samples approximates their distance to the underlying manifold. Building…

计算机视觉与模式识别 · 计算机科学 2025-06-03 Abulikemu Abuduweili , Chenyang Yuan , Changliu Liu , Frank Permenter

In this paper we suggest a new algorithm for determination of signal-to-noise ratio (SNR). SNR is a quantitative measure widely used in science and engineering. Generally, methods for determination of SNR are based on using of…

数据分析、统计与概率 · 物理学 2016-09-30 Z. Zh. Zhanabaev , S. N. Akhtanov , E. T. Kozhagulov , B. A Karibayev

Tensor completion is a technique of filling missing elements of the incomplete data tensors. It being actively studied based on the convex optimization scheme such as nuclear-norm minimization. When given data tensors include some noises,…

计算机视觉与模式识别 · 计算机科学 2018-01-11 Tatsuya Yokota , Hidekata Hontani

Tensor train (TT) decomposition, a powerful tool for analyzing multidimensional data, exhibits superior performance in many machine learning tasks. However, existing methods for TT decomposition either suffer from noise overfitting, or…

信号处理 · 电气工程与系统科学 2023-06-27 Le Xu , Lei Cheng , Ngai Wong , Yik-Chung Wu

From linear classifiers to neural networks, image classification has been a widely explored topic in mathematics, and many algorithms have proven to be effective classifiers. However, the most accurate classifiers typically have…

机器学习 · 统计学 2017-06-30 Elizabeth Newman , Misha Kilmer , Lior Horesh

With the proliferation of algorithmic decision-making, increased scrutiny has been placed on these systems. This paper explores the relationship between the quality of the training data and the overall fairness of the models trained with…

计算机视觉与模式识别 · 计算机科学 2023-05-03 Aki Barry , Lei Han , Gianluca Demartini

A deep convolutional neural network has been developed to denoise atomic-resolution TEM image datasets of nanoparticles acquired using direct electron counting detectors, for applications where the image signal is severely limited by shot…

This paper proposes a new methodology to predict and update the residual useful lifetime of a system using a sequence of degradation images. The methodology integrates tensor linear algebra with traditional location-scale regression widely…

应用统计 · 统计学 2017-06-13 Xiaolei Fang , Kamran Paynabar , Nagi Gebraeel

As a 3-order tensor, a multi-spectral image (MSI) has dozens of spectral bands, which can deliver more information for real scenes. However, real MSIs are often corrupted by noises in the sensing process, which will further deteriorate the…

图像与视频处理 · 电气工程与系统科学 2018-12-10 Xiao Gong , Wei Chen

With the inexorable digitalisation of the modern world, every subset in the field of technology goes through major advancements constantly. One such subset is digital images which are ever so popular. Images can not always be as visually…

计算机视觉与模式识别 · 计算机科学 2022-07-26 Prashanth Venkataraman

Autonomous machines must self-maintain proper functionality to ensure the safety of humans and themselves. This pertains particularly to its cameras as predominant sensors to perceive the environment and support actions. A fundamental…

计算机视觉与模式识别 · 计算机科学 2024-04-05 Maik Wischow , Patrick Irmisch , Anko Boerner , Guillermo Gallego

Characterization of noise in current near-term quantum devices is of paramount importance to fully use their computational power. However, direct quantum process tomography becomes unfeasible for systems composed of tens of qubits. A…