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This paper is concerned with estimating unknown multi-dimensional frequencies from linear compressive measurements. This is accomplished by employing the recently proposed atomic norm minimization framework to recover these frequencies…

信号处理 · 电气工程与系统科学 2018-11-07 Sebastian Semper , Florian Römer

Low rank matrix approximation (LRMA), which aims to recover the underlying low rank matrix from its degraded observation, has a wide range of applications in computer vision. The latest LRMA methods resort to using the nuclear norm…

计算机视觉与模式识别 · 计算机科学 2016-11-03 Yuan Xie , Shuhang Gu , Yan Liu , Wangmeng Zuo , Wensheng Zhang , Lei Zhang

Radio maps reflect the spatial distribution of signal strength and are essential for applications like smart cities, IoT, and wireless network planning. However, reconstructing accurate radio maps from sparse measurements remains…

计算机视觉与模式识别 · 计算机科学 2025-07-09 Chuyun Deng , Na Liu , Wei Xie , Lianming Xu , Li Wang

High-resolution data are desired in many data-driven applications; however, in many cases only data whose resolution is lower than expected are available due to various reasons. It is then a challenge how to obtain as much useful…

信号处理 · 电气工程与系统科学 2020-10-27 Jieyi Lu , Baihong Jin

Low rank matrix approximation (LRMA) has drawn increasing attention in recent years, due to its wide range of applications in computer vision and machine learning. However, LRMA, achieved by nuclear norm minimization (NNM), tends to…

计算机视觉与模式识别 · 计算机科学 2020-06-24 Yanchi Su , Zhanshan Li , Haihong Yu , Zeyu Wang

We address the problem of solving mixed random linear equations. We have unlabeled observations coming from multiple linear regressions, and each observation corresponds to exactly one of the regression models. The goal is to learn the…

机器学习 · 统计学 2020-08-13 Avishek Ghosh , Kannan Ramchandran

Sparse signal recovery based on nonconvex and nonsmooth optimization problems has significant applications and demonstrates superior performance in signal processing and machine learning. This work deals with a scale-invariant…

最优化与控制 · 数学 2025-09-29 Lang Yu , Nanjing Huang

Single-image super-resolution is the process of increasing the resolution of an image, obtaining a high-resolution (HR) image from a low-resolution (LR) one. By leveraging large training datasets, convolutional neural networks (CNNs)…

计算机视觉与模式识别 · 计算机科学 2021-09-29 Marija Vella , João F. C. Mota

This work aims to reconstruct image sequences with Total Variation regularity in super-resolution. We consider, in particular, images of scenes for which the point-to-point image transformation is a plane projective transformation. We first…

计算机视觉与模式识别 · 计算机科学 2025-02-18 Mouhamad Chehaitly

This work is concerned with applying iterative image reconstruction, based on constrained total-variation minimization, to low-intensity X-ray CT systems that have a high sampling rate. Such systems pose a challenge for iterative image…

医学物理 · 物理学 2016-11-17 Emil Y. Sidky , Rick Chartrand , Yuval Duchin , Christer Ullberg , Xiaochuan Pan

Analog-to-digital (quantization) and digital-to-analog (de-quantization) conversion are fundamental operations of many information processing systems. In practice, the precision of these operations is always bounded, first by the random…

信息论 · 计算机科学 2018-12-12 Diu Khue Luu , Anh Tuan Nguyen , Zhi Yang

This paper introduces a framework for super-resolution of scalable video based on compressive sensing and sparse representation of residual frames in reconnaissance and surveillance applications. We exploit efficient compressive sampling…

计算机视觉与模式识别 · 计算机科学 2017-08-01 Mohammad Hossein Moghaddam , Mohammad Javad Azizipour , Saeed Vahidian , Besma Smida

Recently, learning algorithms motivated from sharpness of loss surface as an effective measure of generalization gap have shown state-of-the-art performances. Nevertheless, sharpness defined in a rigid region with a fixed radius, has a…

机器学习 · 计算机科学 2021-06-30 Jungmin Kwon , Jeongseop Kim , Hyunseo Park , In Kwon Choi

This paper provides a theoretical analysis of diffraction-limited superresolution, demonstrating that arbitrarily close point sources can be resolved in ideal situations. Precisely, we assume that the incoming signal is a linear combination…

最优化与控制 · 数学 2015-08-14 Geoffrey Schiebinger , Elina Robeva , Benjamin Recht

In order to reduce hardware complexity and power consumption, massive multiple-input multiple-output (MIMO) systems employ low-resolution analog-to-digital converters (ADCs) to acquire quantized measurements $\boldsymbol y$. This poses new…

信息论 · 计算机科学 2021-02-12 Shuai Huang , Deqiang Qiu , Trac D. Tran

In recent years several methods to overcome diffraction limit in the far field microscopy have been demonstrated. Still the problem of superresolution is reliably solved only for fluorescent microscopy, giving a resolution of up to 20-30nm.…

光学 · 物理学 2013-09-03 Yu. V. Miklyaev , S. A. Asselborn , K. A. Zaytsev , M. Ya. Darscht

Frequency recovery/estimation from discrete samples of superimposed sinusoidal signals is a classic yet important problem in statistical signal processing. Its research has recently been advanced by atomic norm techniques which exploit…

信息论 · 计算机科学 2016-05-31 Zai Yang , Lihua Xie

Herein, an atomic norm based method for accurately estimating the location and orientation of a target from millimeter-wave multi-input-multi-output (MIMO) orthogonal frequency-division multiplexing (OFDM) signals is presented. A novel…

信号处理 · 电气工程与系统科学 2022-09-21 Jianxiu Li , Maxime Ferreira Da Costa , Urbashi Mitra

Image quality is the basis of image communication and understanding tasks. Due to the blur and noise effects caused by imaging, transmission and other processes, the image quality is degraded. Blind image restoration is widely used to…

图像与视频处理 · 电气工程与系统科学 2021-01-26 Ningshan Xu

A Rotating Modulator (RM) is one of a class of techniques for indirect imaging of an object scene by modulation and detection of incident photons. Comparison of the RM to more common imaging techniques, the Rotating Modulation Collimator…

天体物理仪器与方法 · 物理学 2010-10-14 B. Budden , G. L. Case , M. L. Cherry