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In phase retrieval, the goal is to recover a complex signal from the magnitude of its linear measurements. While many well-known algorithms guarantee deterministic recovery of the unknown signal using i.i.d. random measurement matrices,…

Information Theory · Computer Science 2017-03-24 Boshra Rajaei , Sylvain Gigan , Florent Krzakala , Laurent Daudet

Recovering a signal from its Fourier intensity underlies many important applications, including lensless imaging and imaging through scattering media. Conventional algorithms for retrieving the phase suffer when noise is present but display…

Image and Video Processing · Electrical Eng. & Systems 2020-03-05 Yaotian Wang , Xiaohang Sun , Jason W. Fleischer

Learning-based single image super-resolution (SISR) methods are continuously showing superior effectiveness and efficiency over traditional model-based methods, largely due to the end-to-end training. However, different from model-based…

Image and Video Processing · Electrical Eng. & Systems 2020-03-24 Kai Zhang , Luc Van Gool , Radu Timofte

Ability of deep networks to extract high level features and of recurrent networks to perform time-series inference have been studied. In view of universality of one hidden layer network at approximating functions under weak constraints, the…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Sharat C. Prasad , Piyush Prasad

We propose a learning-based compression scheme that envelopes a standard codec between pre and post-processing deep CNNs. Specifically, we demonstrate improvements over prior approaches utilizing a compression-decompression network by…

Image and Video Processing · Electrical Eng. & Systems 2023-11-03 Dipti Mishra , Satish Kumar Singh , Rajat Kumar Singh

Deep unfolding network (DUN) that unfolds the optimization algorithm into a deep neural network has achieved great success in compressive sensing (CS) due to its good interpretability and high performance. Each stage in DUN corresponds to…

Computer Vision and Pattern Recognition · Computer Science 2024-02-20 Jiechong Song , Bin Chen , Jian Zhang

We consider the problem of compressed sensing and of (real-valued) phase retrieval with random measurement matrix. We derive sharp asymptotics for the information-theoretically optimal performance and for the best known polynomial algorithm…

Statistics Theory · Mathematics 2020-09-04 Benjamin Aubin , Bruno Loureiro , Antoine Baker , Florent Krzakala , Lenka Zdeborová

Along with the deraining performance improvement of deep networks, their structures and learning become more and more complicated and diverse, making it difficult to analyze the contribution of various network modules when developing new…

Computer Vision and Pattern Recognition · Computer Science 2019-05-17 Dongwei Ren , Wangmeng Zuo , Qinghua Hu , Pengfei Zhu , Deyu Meng

Seismic data often contain gaps due to various obstacles in the investigated area and recording instrument failures. Deep learning techniques offer promising solutions for reconstructing missing data parts by leveraging existing…

Geophysics · Physics 2024-04-04 Mohammad Mahdi Abedi , David Pardo , Tariq Alkhalifah

The reconstruction of phase spaces is an essential step to analyze time series according to Dynamical System concepts. A regression performed on such spaces unveils the relationships among system states from which we can derive their…

Machine Learning · Computer Science 2020-06-23 Lucas Pagliosa , Alexandru Telea , Rodrigo Mello

Phase retrieval refers to the problem of recovering a signal $\mathbf{x}_{\star}\in\mathbb{C}^n$ from its phaseless measurements $y_i=|\mathbf{a}_i^{\mathrm{H}}\mathbf{x}_{\star}|$, where $\{\mathbf{a}_i\}_{i=1}^m$ are the measurement…

Information Theory · Computer Science 2020-09-10 Junjie Ma , Rishabh Dudeja , Ji Xu , Arian Maleki , Xiaodong Wang

High-resolution is a key trend in the development of synthetic aperture radar (SAR), which enables the capture of fine details and accurate representation of backscattering properties. However, traditional high-resolution SAR imaging…

Signal Processing · Electrical Eng. & Systems 2023-04-11 Guoru Zhou , Zhongqiu Xu , Yizhe Fan , Zhe Zhang , Xiaolan Qiu , Bingchen Zhang , Kun Fu , Yirong Wu

Positron Emission Tomography (PET) is an important molecular imaging tool widely used in medicine. Traditional PET systems rely on complete detector rings for full angular coverage and reliable data collection. However, incomplete-ring PET…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Yeqi Fang , Rong Zhou

Compressive phase retrieval refers to the problem of recovering a structured $n$-dimensional complex-valued vector from its phase-less under-determined linear measurements. The non-linearity of measurements makes designing…

Information Theory · Computer Science 2020-06-11 Milad Bakhshizadeh , Arian Maleki , Shirin Jalali

Phase retrieval in dynamical sampling is a novel research direction, where an unknown signal has to be recovered from the phaseless measurements with respect to a dynamical frame, i.e. a sequence of sampling vectors constructed by the…

Numerical Analysis · Mathematics 2021-03-19 Robert Beinert , Marzieh Hasannasab

A novel energy-efficient edge computing paradigm is proposed for real-time deep learning-based image upsampling applications. State-of-the-art deep learning solutions for image upsampling are currently trained using either resize or…

Computer Vision and Pattern Recognition · Computer Science 2021-07-27 Ian Colbert , Ken Kreutz-Delgado , Srinjoy Das

In this article, we address the issue of recovering latent transparent layers from superimposition images. Here, we assume we have the estimated transformations and extracted gradients of latent layers. To rapidly recover high-quality image…

Computer Vision and Pattern Recognition · Computer Science 2012-11-20 Han Li , Kun Gai , Pinghua Gong , Changshui Zhang

Diffusion has shown great success in improving accuracy of unsupervised image retrieval systems by utilizing high-order structures of image manifold. However, existing diffusion methods suffer from three major limitations: 1) they usually…

Computer Vision and Pattern Recognition · Computer Science 2020-06-15 Zhiyong Dou , Haotian Cui , Lin Zhang , Bo Wang

This paper investigates the downlink channel state information (CSI) sensing in 5G heterogeneous networks composed of user equipments (UEs) with different feedback capabilities. We aim to enhance the CSI accuracy of UEs only affording the…

Information Theory · Computer Science 2024-10-28 Lei Li , Xing Zeng , Ya-Feng Liu , Yanqing Xu , Tsung-Hui Chang

Phase retrieval (PR) reconstructs phase information from magnitude measurements, known as coded diffraction patterns (CDPs), whose quality depends on the number of snapshots captured using coded phase masks. High-quality phase estimation…

Image and Video Processing · Electrical Eng. & Systems 2025-08-25 Karen Fonseca , Leon Suarez-Rodriguez , Andres Jerez , Felipe Gutierrez-Barragan , Henry Arguello