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This paper studies computationally efficient methods and their minimax optimality for high-dimensional clustering and signal recovery under block signal structures. We propose two sets of methods, cross-block feature aggregation PCA…

统计方法学 · 统计学 2025-04-14 Wu Su , Yumou Qiu

The well-known phase problem which means image reconstruction from only spectrum magnitude without using any spectrum phase information is considered basically in application to VLBI mapping of compact extragalactic radio sources (active…

天体物理仪器与方法 · 物理学 2012-11-13 A. T. Bajkova

We consider the problem of sparse phase retrieval from Fourier transform magnitudes to recover the $k$-sparse signal vector and its support $\mathcal{T}$. We exploit extended support estimate $\mathcal{E}$ with size larger than $k$…

机器学习 · 统计学 2019-10-02 Kyung-Su Kim , Sae-Young Chung

Deep Neural Network (DNN)-based image reconstruction, despite many successes, often exhibits uneven fidelity between high and low spatial frequency bands. In this paper we propose the Learning Synthesis by DNN (LS-DNN) approach where two…

计算机视觉与模式识别 · 计算机科学 2018-11-21 Mo Deng , Shuai Li , George Barbastathis

Diffusion models excel at image restoration via probabilistic modeling of forward noise addition and reverse denoising, and their ability to handle complex noise while preserving fine details makes them well-suited for Low-Light Image…

计算机视觉与模式识别 · 计算机科学 2026-04-08 Ying Liu , Junchao Zhang , Caiyun Wu

This paper presents a novel speech phase prediction model which predicts wrapped phase spectra directly from amplitude spectra by neural networks. The proposed model is a cascade of a residual convolutional network and a parallel estimation…

声音 · 计算机科学 2023-02-17 Yang Ai , Zhen-Hua Ling

In Bragg Coherent Diffraction Imaging (BCDI), Phase Retrieval of highly strained crystals is often challenging with standard iterative algorithms. This computational obstacle limits the potential of the technique as it precludes the…

We present a data analysis methodology for a model-independent reconstruction of the spectral shape of a stochastic gravitational wave background with LISA. We improve a previously proposed reconstruction algorithm that relied on a single…

宇宙学与河外天体物理 · 物理学 2021-02-17 Raphael Flauger , Nikolaos Karnesis , Germano Nardini , Mauro Pieroni , Angelo Ricciardone , Jesús Torrado

We address the problem of recovering a signal (up to global phase) from its short-time Fourier transform (STFT) magnitude measurements. This problem arises in several applications, including optical imaging and speech processing. In this…

信息论 · 计算机科学 2015-10-06 Tamir Bendory , Yonina C. Eldar

Structured low-rank (SLR) algorithms, which exploit annihilation relations between the Fourier samples of a signal resulting from different properties, is a powerful image reconstruction framework in several applications. This scheme relies…

机器学习 · 计算机科学 2020-08-11 Aniket Pramanik , Hemant Aggarwal , Mathews Jacob

In this paper, we propose a novel recurrent neural network architecture for speech separation. This architecture is constructed by unfolding the iterations of a sequential iterative soft-thresholding algorithm (ISTA) that solves the…

声音 · 计算机科学 2017-09-22 Scott Wisdom , Thomas Powers , James Pitton , Les Atlas

This paper proposes a Fast Graph Convolutional Neural Network (FGRNN) architecture to predict sequences with an underlying graph structure. The proposed architecture addresses the limitations of the standard recurrent neural network (RNN),…

信号处理 · 电气工程与系统科学 2020-01-28 Sai Kiran Kadambari , Sundeep Prabhakar Chepuri

In this paper, we develop a novel phase retrieval approach to reconstruct x-ray differential phase shift induced by an object. A primary advantage of our approach is a higher-order accuracy over that with the conventional linear…

医学物理 · 物理学 2010-03-18 Wenxiang Cong , Ge Wang

First-order methods such as stochastic gradient descent (SGD) are currently the standard algorithm for training deep neural networks. Second-order methods, despite their better convergence rate, are rarely used in practice due to the…

机器学习 · 计算机科学 2019-09-26 Tianle Cai , Ruiqi Gao , Jikai Hou , Siyu Chen , Dong Wang , Di He , Zhihua Zhang , Liwei Wang

The analog signals generated in the read-out electronics of radiation detectors are shaped prior to the digitization in order to improve the signal to noise ratio (SNR). The real amplitude of the analog signal is then obtained using digital…

仪器与探测器 · 物理学 2019-03-07 J. L. Ortiz , F. Carrió , A. Valero

Sparse modeling is one of the efficient techniques for imaging that allows recovering lost information. In this paper, we present a novel iterative phase-retrieval algorithm using a sparse representation of the object amplitude and phase.…

计算机视觉与模式识别 · 计算机科学 2011-08-17 Artem Migukin , Vladimir Katkovnik , Jaakko Astola

Time domain terahertz spectroscopy typically uses mechanical delay stages that inherently suffer from non-uniform sampling positions. We review, simulate, and experimentally test the ability of corrective cubic spline and Shannon…

光学 · 物理学 2019-03-20 A. M. Potts , T. T. Mai , M. T. Warren , R. Valdés Aguilar

Recurrent Neural Networks (RNNs) achieve state-of-the-art results in many sequence-to-sequence modeling tasks. However, RNNs are difficult to train and tend to suffer from overfitting. Motivated by the Data Processing Inequality (DPI), we…

机器学习 · 统计学 2018-05-24 Ziv Aharoni , Gal Rattner , Haim Permuter

Phase recovery from intensity-only measurements forms the heart of coherent imaging techniques and holography. Here we demonstrate that a neural network can learn to perform phase recovery and holographic image reconstruction after…

计算机视觉与模式识别 · 计算机科学 2017-12-13 Yair Rivenson , Yibo Zhang , Harun Gunaydin , Da Teng , Aydogan Ozcan

Recovering an unknown signal from quadratic measurements has gained popularity due to its wide range of applications, including phase retrieval, fusion frame phase retrieval, and positive operator-valued measures. In this paper, we employ a…

最优化与控制 · 数学 2024-09-02 Jun Fan , Jie Sun , Ailing Yan , Shenglong Zhou