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We consider the problem of reconstructing signals and images from periodic nonlinearities. For such problems, we design a measurement scheme that supports efficient reconstruction; moreover, our method can be adapted to extend to…

Machine Learning · Statistics 2017-10-03 Viraj Shah , Mohammadreza Soltani , Chinmay Hegde

Phase retrieval is a nonlinear inverse problem that arises in a wide range of imaging modalities, from electron microscopy to Fourier ptychography. In particular, the reconstruction is facilitated when the sensing matrix is i.i.d. random,…

We propose an end-to-end approach for solving inverse problems for a class of complex astronomical signals, namely Spectral Energy Distributions (SEDs). Our goal is to reconstruct such signals from scarce and/or unreliable measurements. We…

Instrumentation and Methods for Astrophysics · Physics 2020-12-14 Agapi Rissaki , Orestis Pavlou , Dimitris Fotakis , Vicky Papadopoulou , Andreas Efstathiou

In this paper, we consider the problem of subsampling and reconstruction of signals that reside on the vertices of a product graph, such as sensor network time series, genomic signals, or product ratings in a social network. Specifically,…

Signal Processing · Electrical Eng. & Systems 2018-07-03 Guillermo Ortiz-Jiménez , Mario Coutino , Sundeep Prabhakar Chepuri , Geert Leus

We explore artificial neural networks as a tool for the reconstruction of spectral functions from imaginary time Green's functions, a classic ill-conditioned inverse problem. Our ansatz is based on a supervised learning framework in which…

With the rapid development of neural networks in recent years, the ability of various networks to enhance the magnitude spectrum of noisy speech in the single-channel speech enhancement domain has become exceptionally outstanding. However,…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-05 Shiqi Zhang , Zheng Qiu , Daiki Takeuchi , Noboru Harada , Shoji Makino

Common problem in signal processing is reconstruction of the missing signal samples. Missing samples can occur by intentionally omitting signal coefficients to reduce memory requirements, or to speed up the transmission process. Also, noisy…

Information Theory · Computer Science 2015-03-02 Slavoljub Jokić , Ljindita Niković , Jelena Kadović

Magnetic resonance imaging (MRI) is one of the best medical imaging modalities as it offers excellent spatial resolution and soft-tissue contrast. But, the usage of MRI is limited by its slow acquisition time, which makes it expensive and…

Image and Video Processing · Electrical Eng. & Systems 2019-08-27 Balamurali Murugesan , Vijaya Raghavan S , Kaushik Sarveswaran , Keerthi Ram , Mohanasankar Sivaprakasam

Fourier phase retrieval (FPR) is an inverse problem that recovers the signal from its Fourier magnitude measurement, it's ill-posed especially when the sampling rates are low. In this paper, an untrained generative prior is introduced to…

Signal Processing · Electrical Eng. & Systems 2022-10-25 Liyuan Ma , Hongxia Wang , Ningyi Leng , Ziyang Yuan

The paper presents a novel approach of spoofing wireless signals by using a general adversarial network (GAN) to generate and transmit synthetic signals that cannot be reliably distinguished from intended signals. It is of paramount…

Signal Processing · Electrical Eng. & Systems 2019-05-09 Yi Shi , Kemal Davaslioglu , Yalin E. Sagduyu

The key ingredient to retrieving a signal from its Fourier magnitudes, namely, to solve the phase retrieval problem, is an effective prior on the sought signal. In this paper, we study the phase retrieval problem under the prior that the…

Signal Processing · Electrical Eng. & Systems 2025-04-30 Tamir Bendory , Nadav Dym , Dan Edidin , Arun Suresh

Limited angle CT reconstruction is an under-determined linear inverse problem that requires appropriate regularization techniques to be solved. In this work we study how pre-trained generative adversarial networks (GANs) can be used to…

Image and Video Processing · Electrical Eng. & Systems 2020-01-30 Rushil Anirudh , Hyojin Kim , Jayaraman J. Thiagarajan , K. Aditya Mohan , Kyle M. Champley

Generative adversarial network (GAN) still exists some problems in dealing with speech enhancement (SE) task. Some GAN-based systems adopt the same structure from Pixel-to-Pixel directly without special optimization. The importance of the…

Audio and Speech Processing · Electrical Eng. & Systems 2021-03-09 Huixiang Huang , Renjie Wu , Jingbiao Huang , Jucai Lin , Jun Yin

Signal reconstruction is a challenging aspect of computational imaging as it often involves solving ill-posed inverse problems. Recently, deep feed-forward neural networks have led to state-of-the-art results in solving various inverse…

Computer Vision and Pattern Recognition · Computer Science 2018-04-25 Akshat Dave , Anil Kumar Vadathya , Ramana Subramanyam , Rahul Baburajan , Kaushik Mitra

Computed medical imaging systems require a computational reconstruction procedure for image formation. In order to recover a useful estimate of the object to-be-imaged when the recorded measurements are incomplete, prior knowledge about the…

Image and Video Processing · Electrical Eng. & Systems 2022-02-21 Varun A. Kelkar , Mark A. Anastasio

Phase retrieval (PR) aims to recover a signal from the magnitudes of a set of inner products. This problem arises in many audio signal processing applications which operate on a short-time Fourier transform magnitude or power spectrogram,…

Sound · Computer Science 2021-02-24 Pierre-Hugo Vial , Paul Magron , Thomas Oberlin , Cédric Févotte

A recently published method for audio style transfer has shown how to extend the process of image style transfer to audio. This method synthesizes audio "content" and "style" independently using the magnitudes of a short time Fourier…

Sound · Computer Science 2017-12-01 Parag K. Mital

Phase recovery of modified spectrograms is a major issue in audio signal processing applications, such as source separation. This paper introduces a novel technique for estimating the phases of components in complex mixtures within onset…

Sound · Computer Science 2016-11-17 Paul Magron , Roland Badeau , Bertrand David

The adversarial attack methods based on gradient information can adequately find the perturbations, that is, the combinations of rewired links, thereby reducing the effectiveness of the deep learning model based graph embedding algorithms,…

Social and Information Networks · Computer Science 2020-12-22 Jinyin Chen , Yixian Chen , Haibin Zheng , Shijing Shen , Shanqing Yu , Dan Zhang , Qi Xuan

Due to inappropriate sample selection and limited training data, a distribution shift often exists between the training and test sets. This shift can adversely affect the test performance of Graph Neural Networks (GNNs). Existing approaches…

Machine Learning · Computer Science 2023-10-16 Rui Ding , Jielong Yang , Feng Ji , Xionghu Zhong , Linbo Xie