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We address the problem of reconstructing sparse signals from noisy and compressive measurements using a feed-forward deep neural network (DNN) with an architecture motivated by the iterative shrinkage-thresholding algorithm (ISTA). We…

Machine Learning · Computer Science 2017-05-23 Debabrata Mahapatra , Subhadip Mukherjee , Chandra Sekhar Seelamantula

Recurrent Neural Networks (RNN) are a type of statistical model designed to handle sequential data. The model reads a sequence one symbol at a time. Each symbol is processed based on information collected from the previous symbols. With…

Machine Learning · Statistics 2019-02-18 Jared Ostmeyer , Lindsay Cowell

In recent years, unfolding iterative algorithms as neural networks has become an empirical success in solving sparse recovery problems. However, its theoretical understanding is still immature, which prevents us from fully utilizing the…

Machine Learning · Computer Science 2018-11-06 Xiaohan Chen , Jialin Liu , Zhangyang Wang , Wotao Yin

The idea of unfolding iterative algorithms as deep neural networks has been widely applied in solving sparse coding problems, providing both solid theoretical analysis in convergence rate and superior empirical performance. However, for…

Machine Learning · Computer Science 2020-10-27 Yuhai Song , Zhong Cao , Kailun Wu , Ziang Yan , Changshui Zhang

Recently, the study on learned iterative shrinkage thresholding algorithm (LISTA) has attracted increasing attentions. A large number of experiments as well as some theories have proved the high efficiency of LISTA for solving sparse coding…

Machine Learning · Computer Science 2021-06-24 Lin Kong , Wei Sun , Fanhua Shang , Yuanyuan Liu , Hongying Liu

The interpretability of deep learning models has raised extended attention these years. It will be beneficial if we can learn an interpretable structure from deep learning models. In this paper, we focus on Recurrent Neural Networks~(RNNs)…

Neural and Evolutionary Computing · Computer Science 2020-01-15 Bo-Jian Hou , Zhi-Hua Zhou

Various iterative reconstruction algorithms for inverse problems can be unfolded as neural networks. Empirically, this approach has often led to improved results, but theoretical guarantees are still scarce. While some progress on…

Statistics Theory · Mathematics 2021-08-16 Arash Behboodi , Holger Rauhut , Ekkehard Schnoor

Recurrent Neural Networks (RNNs) are used in state-of-the-art models in domains such as speech recognition, machine translation, and language modelling. Sparsity is a technique to reduce compute and memory requirements of deep learning…

Machine Learning · Computer Science 2017-11-09 Sharan Narang , Eric Undersander , Gregory Diamos

In this paper, we consider deep neural networks for solving inverse problems that are robust to forward model mis-specifications. Specifically, we treat sensing problems with model mismatch where one wishes to recover a sparse…

Machine Learning · Computer Science 2021-10-22 Wei Pu , Chao Zhou , Yonina C. Eldar , Miguel R. D. Rodrigues

Deep unfolding methods---for example, the learned iterative shrinkage thresholding algorithm (LISTA)---design deep neural networks as learned variations of optimization methods. These networks have been shown to achieve faster convergence…

Machine Learning · Computer Science 2020-03-19 Huynh Van Luong , Boris Joukovsky , Nikos Deligiannis

The design of novel algorithms for solving inverse problems in signal processing is an incredibly difficult, heuristic-driven, and time-consuming task. In this short paper, we the idea of automated algorithm discovery in the signal…

Machine Learning · Computer Science 2025-12-29 Patrick Yubeaton , Sarthak Gupta , M. Salman Asif , Chinmay Hegde

Time series models with recurrent neural networks (RNNs) can have high accuracy but are unfortunately difficult to interpret as a result of feature-interactions, temporal-interactions, and non-linear transformations. Interpretability is…

Machine Learning · Computer Science 2021-09-17 Asif Rahman , Yale Chang , Jonathan Rubin

Iterative shrinkage/thresholding algorithm (ISTA) is a well-studied method for finding sparse solutions to ill-posed inverse problems. In this letter, we present a data-driven scheme for learning optimal thresholding functions for ISTA. The…

Machine Learning · Computer Science 2016-05-04 Ulugbek S. Kamilov , Hassan Mansour

Deep learning for image super-resolution (SR) has been investigated by numerous researchers in recent years. Most of the works concentrate on effective block designs and improve the network representation but lack interpretation. There are…

Image and Video Processing · Electrical Eng. & Systems 2022-10-17 Yuqing Liu , Wei Zhang , Weifeng Sun , Zhikai Yu , Jianfeng Wei , Shengquan Li

Convolutional Sparse Coding (CSC) has been attracting more and more attention in recent years, for making full use of image global correlation to improve performance on various computer vision applications. However, very few studies focus…

Image and Video Processing · Electrical Eng. & Systems 2019-08-06 Menglei Zhang , Zhou Liu , Lei Yu

Compressed sensing has shown great potentials in accelerating magnetic resonance imaging. Fast image reconstruction and high image quality are two main issues faced by this new technology. It has been shown that, redundant image…

Medical Physics · Physics 2016-01-27 Yunsong Liu , Zhifang Zhan , Jian-Feng Cai , Di Guo , Zhong Chen , Xiaobo Qu

Model compression is significant for the wide adoption of Recurrent Neural Networks (RNNs) in both user devices possessing limited resources and business clusters requiring quick responses to large-scale service requests. This work aims to…

Machine Learning · Computer Science 2018-02-13 Wei Wen , Yuxiong He , Samyam Rajbhandari , Minjia Zhang , Wenhan Wang , Fang Liu , Bin Hu , Yiran Chen , Hai Li

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

Recurrent Neural Networks (RNNs) are powerful tools for solving sequence-based problems, but their efficacy and execution time are dependent on the size of the network. Following recent work in simplifying these networks with model pruning…

Neural and Evolutionary Computing · Computer Science 2018-04-30 Feiwen Zhu , Jeff Pool , Michael Andersch , Jeremy Appleyard , Fung Xie

Recurrent Neural Networks (RNNs), and specifically a variant with Long Short-Term Memory (LSTM), are enjoying renewed interest as a result of successful applications in a wide range of machine learning problems that involve sequential data.…

Machine Learning · Computer Science 2015-11-18 Andrej Karpathy , Justin Johnson , Li Fei-Fei
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