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We propose a robust and efficient approach to the problem of compressive phase retrieval in which the goal is to reconstruct a sparse vector from the magnitude of a number of its linear measurements. The proposed framework relies on…

信息论 · 计算机科学 2015-10-28 Sohail Bahmani , Justin Romberg

Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

统计力学 · 物理学 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

Compressive sensing is a methodology for the reconstruction of sparse or compressible signals using far fewer samples than required by the Nyquist criterion. However, many of the results in compressive sensing concern random sampling…

信息论 · 计算机科学 2013-06-11 Atul Divekar , Deanna Needell

We propose a compressive sensing algorithm that exploits geometric properties of images to recover images of high quality from few measurements. The image reconstruction is done by iterating the two following steps: 1) estimation of normal…

计算机视觉与模式识别 · 计算机科学 2015-06-11 Virginia Estellers , Jean-Philippe Thiran , Xavier Bresson

The goal of phase-only compressed sensing is to recover a structured signal $\mathbf{x}$ from the phases $\mathbf{z} = {\rm sign}(\mathbf{\Phi}\mathbf{x})$ under some complex-valued sensing matrix $\mathbf{\Phi}$. Exact reconstruction of…

信息论 · 计算机科学 2025-01-22 Junren Chen , Lexiao Lai , Arian Maleki

We consider the question of estimating a real low-complexity signal (such as a sparse vector or a low-rank matrix) from the phase of complex random measurements. We show that in this "phase-only compressive sensing" (PO-CS) scenario, we can…

信息论 · 计算机科学 2020-01-17 Laurent Jacques , Thomas Feuillen

In the compressive phase retrieval problem, or phaseless compressed sensing, or compressed sensing from intensity only measurements, the goal is to reconstruct a sparse or approximately $k$-sparse vector $x \in \mathbb{R}^n$ given access to…

数据结构与算法 · 计算机科学 2020-03-03 Yi Li , Vasileios Nakos

We develop a lensless compressive imaging architecture, which consists of an aperture assembly and a single sensor, without using any lens. An anytime algorithm is proposed to reconstruct images from the compressive measurements; the…

计算机视觉与模式识别 · 计算机科学 2015-08-17 Xin Yuan , Hong Jiang , Gang Huang , Paul Wilford

We develop a fast phase retrieval method which can utilize a large class of local phaseless correlation-based measurements in order to recover a given signal ${\bf x} \in \mathbb{C}^d$ (up to an unknown global phase) in near-linear…

数值分析 · 数学 2016-07-12 Mark Iwen , Aditya Viswanathan , Yang Wang

Compressive sensing achieves effective dimensionality reduction of signals, under a sparsity constraint, by means of a small number of random measurements acquired through a sensing matrix. In a signal processing system, the problem arises…

信息论 · 计算机科学 2014-03-13 Diego Valsesia , Enrico Magli

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,…

信息论 · 计算机科学 2017-03-24 Boshra Rajaei , Sylvain Gigan , Florent Krzakala , Laurent Daudet

We present an end-to-end image compression system based on compressive sensing. The presented system integrates the conventional scheme of compressive sampling and reconstruction with quantization and entropy coding. The compression…

计算机视觉与模式识别 · 计算机科学 2020-01-22 Xin Yuan , Raziel Haimi-Cohen

We demonstrate that a sparse signal can be estimated from the phase of complex random measurements, in a "phase-only compressive sensing" (PO-CS) scenario. With high probability and up to a global unknown amplitude, we can perfectly recover…

信息论 · 计算机科学 2020-11-13 Laurent Jacques , Thomas Feuillen

We present a filter correlation based model compression approach for deep convolutional neural networks. Our approach iteratively identifies pairs of filters with the largest pairwise correlations and drops one of the filters from each such…

计算机视觉与模式识别 · 计算机科学 2020-01-17 Pravendra Singh , Vinay Kumar Verma , Piyush Rai , Vinay P. Namboodiri

Compressive lensless imagers enable novel applications in an extremely compact device, requiring only a phase or amplitude mask placed close to the sensor. They have been demonstrated for 2D and 3D microscopy, single-shot video, and…

图像与视频处理 · 电气工程与系统科学 2021-06-23 Kristina Monakhova , Vi Tran , Grace Kuo , Laura Waller

In this paper, the problem of compressive imaging is addressed using natural randomization by means of a multiply scattering medium. To utilize the medium in this way, its corresponding transmission matrix must be estimated. To calibrate…

计算机视觉与模式识别 · 计算机科学 2016-08-26 Boshra Rajaei , Eric W. Tramel , Sylvain Gigan , Florent Krzakala , Laurent Daudet

Deep learning models have significantly improved the visual quality and accuracy on compressive sensing recovery. In this paper, we propose an algorithm for signal reconstruction from compressed measurements with image priors captured by a…

机器学习 · 计算机科学 2020-03-20 Shaojie Xu , Sihan Zeng , Justin Romberg

Phase retrieval refers to a classical nonconvex problem of recovering a signal from its Fourier magnitude measurements. Inspired by the compressed sensing technique, signal sparsity is exploited in recent studies of phase retrieval to…

计算物理 · 物理学 2013-02-04 Zai Yang , Cishen Zhang , Lihua Xie

This paper addresses the problem of correlation estimation in sets of compressed images. We consider a framework where images are represented under the form of linear measurements due to low complexity sensing or security requirements. We…

计算机视觉与模式识别 · 计算机科学 2011-12-20 Vijayaraghavan Thirumalai , Pascal Frossard

Noiseless compressive sensing is a two-steps setting that allows for undersampling a sparse signal and then reconstructing it without loss of information. The LASSO algorithm, based on $\lone$ regularization, provides an efficient and…

信息论 · 计算机科学 2025-11-13 Damien Barbier , Carlo Lucibello , Luca Saglietti , Florent Krzakala , Lenka Zdeborová
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