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This paper introduces a novel framework and corresponding methods for sampling and reconstruction of sparse signals in shift-invariant (SI) spaces. We reinterpret the random demodulator, a system that acquires sparse bandlimited signals, as…

Signal Processing · Electrical Eng. & Systems 2022-01-24 Tin Vlašić , Damir Seršić

The reconstruction of unsteady flow fields from limited measurements is a challenging and crucial task for many engineering applications. Machine learning models are gaining popularity for solving this problem due to their ability to learn…

Fluid Dynamics · Physics 2026-01-09 Marc Amorós-Trepat , Luis Medrano-Navarro , Qiang Liu , Luca Guastoni , Nils Thuerey

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…

Lately, deep learning has been extensively investigated for accelerating dynamic magnetic resonance (MR) imaging, with encouraging progresses achieved. However, without fully sampled reference data for training, current approaches may have…

Image and Video Processing · Electrical Eng. & Systems 2022-08-09 Juan Zou , Cheng Li , Sen Jia , Ruoyou Wu , Tingrui Pei , Hairong Zheng , Shanshan Wang

In this paper, we present a computationally efficient sparse signal recovery scheme using Deep Neural Networks (DNN). The architecture of the introduced neural network is inspired from sparse Bayesian learning (SBL) and named as Learned-SBL…

Information Theory · Computer Science 2019-09-19 Rubin Jose Peter , Chandra R. Murthy

We present a computational imaging mode for large scale electron microscopy data, which retrieves a complex wave from noisy/sparse intensity recordings using a deep learning approach and subsequently reconstructs an image of the specimen…

Materials Science · Physics 2022-02-28 Thomas Friedrich , Chu-Ping Yu , Johan Verbeek , Timothy Pennycook , Sandra Van Aert

Three-dimensional synthetic aperture radar (3D SAR) is an advanced active microwave imaging technology widely utilized in remote sensing area. To achieve high-resolution 3D imaging,3D SAR requires observations from multiple aspects and…

Computer Vision and Pattern Recognition · Computer Science 2025-09-12 Da Li , Guoqiang Zhao , Chen Yao , Kaiqiang Zhu , Houjun Sun , Jiacheng Bao , Maokun Li

Analytical electron microscopy and spectroscopy of biological specimens, polymers, and other beam sensitive materials has been a challenging area due to irradiation damage. There is a pressing need to develop novel imaging and spectroscopic…

Machine Learning · Computer Science 2017-07-14 Yan Zhang , G. M. Dilshan Godaliyadda , Nicola Ferrier , Emine B. Gulsoy , Charles A. Bouman , Charudatta Phatak

Pre-trained large models attract widespread attention in recent years, but they face challenges in applications that require high interpretability or have limited resources, such as physical sensing, medical imaging, and bioinformatics.…

Machine Learning · Computer Science 2025-01-24 Chaoqing Tang , Huanze Zhuang , Guiyun Tian , Zhenli Zeng , Yi Ding , Wenzhong Liu , Xiang Bai

The problem of reconstructing and identifying intracellular protein signaling and biochemical networks is of critical importance in biology today. We sought to develop a mathematical approach to this problem using, as a test case, one of…

Data Analysis, Statistics and Probability · Physics 2012-06-15 D. Napoletani , T. Sauer , D. C. Struppa , E. Petricoin , L. Liotta

In the area of magnetic resonance imaging (MRI), an extensive range of non-linear reconstruction algorithms have been proposed that can be used with general Fourier subsampling patterns. However, the design of these subsampling patterns has…

Image and Video Processing · Electrical Eng. & Systems 2018-05-04 Baran Gözcü , Rabeeh Karimi Mahabadi , Yen-Huan Li , Efe Ilıcak , Tolga Çukur , Jonathan Scarlett , Volkan Cevher

We develop a novel transfer learning framework to tackle the challenge of limited training data in image reconstruction problems. The proposed framework consists of two training steps, both of which are formed as bi-level optimizations. In…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Yunmei Chen , Chi Ding , Xiaojing Ye

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

Magnetic resonance imaging has been widely applied in clinical diagnosis, however, is limited by its long data acquisition time. Although imaging can be accelerated by sparse sampling and parallel imaging, achieving promising reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Tieyuan Lu , Xinlin Zhang , Yihui Huang , Yonggui Yang , Gang Guo , Lijun Bao , Feng Huang , Di Guo , Xiaobo Qu

Magnetic resonance imaging is a powerful imaging modality that can provide versatile information but it has a bottleneck problem "slow imaging speed". Reducing the scanned measurements can accelerate MR imaging with the aid of powerful…

Image and Video Processing · Electrical Eng. & Systems 2020-12-17 Shanshan Wang , Taohui Xiao , Qiegen Liu , Hairong Zheng

We present a new deep supervised learning method for intrinsic decomposition of a single image into its albedo and shading components. Our contributions are based on a new fully convolutional neural network that estimates absolute albedo…

Computer Vision and Pattern Recognition · Computer Science 2018-03-21 Louis Lettry , Kenneth Vanhoey , Luc Van Gool

In this paper, we propose an extremely simple deep model for the unsupervised nonlinear dimensionality reduction -- deep distributed random samplings, which performs like a stack of unsupervised bootstrap aggregating. First, its network…

Machine Learning · Computer Science 2013-12-17 Xiao-Lei Zhang

We develop an end-to-end deep learning framework for downlink beamforming in large-scale sparse MIMO channels. The core is a deep EDN architecture with three modules: (i) an encoder NN, deployed at each user end, that compresses estimated…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Yubo Zhang , Jeremy Johnston , Xiaodong Wang

We investigate the problem of reconstructing signals from a subsampled convolution of their modulated versions and a known filter. The problem is studied as applies to specific imaging systems relying on spatial phase modulation by randomly…

Information Theory · Computer Science 2016-03-23 Sohail Bahmani , Justin Romberg

Deep neural networks give state-of-the-art accuracy for reconstructing images from few and noisy measurements, a problem arising for example in accelerated magnetic resonance imaging (MRI). However, recent works have raised concerns that…

Image and Video Processing · Electrical Eng. & Systems 2021-06-14 Mohammad Zalbagi Darestani , Akshay S. Chaudhari , Reinhard Heckel