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We propose a novel method for compressed sensing recovery using untrained deep generative models. Our method is based on the recently proposed Deep Image Prior (DIP), wherein the convolutional weights of the network are optimized to match…

Imaging through scattering is an important, yet challenging problem. Tremendous progress has been made by exploiting the deterministic input-output "transmission matrix" for a fixed medium. However, this "one-to-one" mapping is highly…

Image and Video Processing · Electrical Eng. & Systems 2018-09-27 Yunzhe Li , Yujia Xue , Lei Tian

Statistically correcting measured cross sections for detector effects is an important step across many applications. In particle physics, this inverse problem is known as unfolding. In cases with complex instruments, the distortions they…

Machine learning has shown promising results for communications system problems. We present results on the use of deep auto-encoders in order to learn a transceiver for the multiuser degraded broadcast channel, and see that the auto encoder…

Information Theory · Computer Science 2019-03-21 Erik Stauffer , Andy Wang , Nihar Jindal

We consider the optimization of deep convolutional neural networks (CNNs) such that they provide good performance while having reduced complexity if deployed on either conventional systems with spatial-domain convolution or lower-complexity…

Computer Vision and Pattern Recognition · Computer Science 2019-02-25 Yoojin Choi , Mostafa El-Khamy , Jungwon Lee

Training deep neural networks on large datasets containing high-dimensional data requires a large amount of computation. A solution to this problem is data-parallel distributed training, where a model is replicated into several…

Machine Learning · Computer Science 2021-03-18 Lusine Abrahamyan , Yiming Chen , Giannis Bekoulis , Nikos Deligiannis

This paper discusses the recovery of an unknown signal $x\in \mathbb{R}^L$ through the result of its convolution with an unknown filter $h \in \mathbb{R}^L$. This problem, also known as blind deconvolution, has been studied extensively by…

Information Theory · Computer Science 2017-09-28 Augustin Cosse

In computer-aided diagnosis (CAD) focused on microscopy, denoising improves the quality of image analysis. In general, the accuracy of this process may depend both on the experience of the microscopist and on the equipment sensitivity and…

Image and Video Processing · Electrical Eng. & Systems 2021-05-04 Fabio Hernán Gil Zuluaga , Francesco Bardozzo , Jorge Iván Ríos Patiño , Roberto Tagliaferri

In this paper, utilizing techniques in compressed sensing, parallel optimization and deep learning, we propose a model-driven approach to jointly design the common measurement matrix and GROUP LASSO-based jointly sparse signal recovery…

Information Theory · Computer Science 2020-02-10 Shuaichao Li , Wanqing Zhang , Ying Cui

Non-linear manifold learning enables high-dimensional data analysis, but requires out-of-sample-extension methods to process new data points. In this paper, we propose a manifold learning algorithm based on deep learning to create an…

Machine Learning · Statistics 2015-06-26 Gal Mishne , Uri Shaham , Alexander Cloninger , Israel Cohen

Over-the-air computation (AirComp) has emerged as a promising technology that enables simultaneous transmission and computation through wireless channels. In this paper, we investigate the networked AirComp in multiple clusters allowing…

Signal Processing · Electrical Eng. & Systems 2025-05-19 Xiao Tang , Huirong Xiao , Chao Shen , Li Sun , Qinghe Du , Dusit Niyato , Zhu Han

Manifold learning is a central task in modern statistics and data science. Many datasets (cells, documents, images, molecules) can be represented as point clouds embedded in a high dimensional ambient space, however the degrees of freedom…

Machine Learning · Statistics 2025-02-18 Stephen Zhang , Gilles Mordant , Tetsuya Matsumoto , Geoffrey Schiebinger

We propose a novel deep neural network, coined DeepFPC-$\ell_2$, for solving the 1-bit compressed sensing problem. The network is designed by unfolding the iterations of the fixed-point continuation (FPC) algorithm with one-sided…

Machine Learning · Computer Science 2020-10-16 Y. Yang , P. Xiao , B. Liao , N. Deligiannis

We solve the compressive sensing problem via convolutional factor analysis, where the convolutional dictionaries are learned {\em in situ} from the compressed measurements. An alternating direction method of multipliers (ADMM) paradigm for…

Machine Learning · Statistics 2017-01-12 Xin Yuan , Yunchen Pu , Lawrence Carin

High resolution ultrasound image reconstruction from a reduced number of measurements is of great interest in ultrasound imaging, since it could enhance both the frame rate and image resolution. Compressive deconvolution, combining…

Computer Vision and Pattern Recognition · Computer Science 2015-12-18 Zhouye Chen , Adrian Basarab , Denis Kouamé

Compressive imaging is an emerging application of compressed sensing, devoted to acquisition, encoding and reconstruction of images using random projections as measurements. In this paper we propose a novel method to provide a scalable…

Information Theory · Computer Science 2013-10-07 Diego Valsesia , Enrico Magli

Principal component analysis, dictionary learning, and auto-encoders are all unsupervised methods for learning representations from a large amount of training data. In all these methods, the higher the dimensions of the input data, the…

Machine Learning · Computer Science 2019-08-27 Thomas Chang , Bahareh Tolooshams , Demba Ba

Several recent works have empirically observed that Convolutional Neural Nets (CNNs) are (approximately) invertible. To understand this approximate invertibility phenomenon and how to leverage it more effectively, we focus on a theoretical…

Machine Learning · Statistics 2017-05-25 Anna C. Gilbert , Yi Zhang , Kibok Lee , Yuting Zhang , Honglak Lee

Convolution is a central operation in Convolutional Neural Networks (CNNs), which applies a kernel to overlapping regions shifted across the image. However, because of the strong correlations in real-world image data, convolutional kernels…

Parameterized mathematical models play a central role in understanding and design of complex information systems. However, they often cannot take into account the intricate interactions innate to such systems. On the contrary, purely…

Signal Processing · Electrical Eng. & Systems 2019-12-02 Shahin Khobahi , Mojtaba Soltanalian