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The convergence rate is analyzed for the SpaSRA algorithm (Sparse Reconstruction by Separable Approximation) for minimizing a sum $f (\m{x}) + \psi (\m{x})$ where $f$ is smooth and $\psi$ is convex, but possibly nonsmooth. It is shown that…

Optimization and Control · Mathematics 2009-12-10 William Hager , Dzung Phan , Hongchao Zhang

We present an improved method for topology optimization with both adaptive mesh refinement and derefinement. Since the total volume fraction in topology optimization is usually modest, after a few initial iterations the domain of…

Numerical Analysis · Mathematics 2010-09-28 Shun Wang , Eric de Sturler , Glaucio H. Paulino

Quantitative susceptibility mapping (QSM) involves acquisition and reconstruction of a series of images at multi-echo time points to estimate tissue field, which prolongs scan time and requires specific reconstruction technique. In this…

Image and Video Processing · Electrical Eng. & Systems 2022-11-03 Jinwei Zhang , Pascal Spincemaille , Hang Zhang , Thanh D. Nguyen , Chao Li , Jiahao Li , Ilhami Kovanlikaya , Mert R. Sabuncu , Yi Wang

NMR is a tool of choice for the measure of diffusion coefficients of species in solution. The DOSY experiment, a 2D implementation of this measure, has proven to be particularly useful for the study of complex mixtures, molecular…

Data Analysis, Statistics and Probability · Physics 2017-04-12 Afef Cherni , Emilie Chouzenoux , Marc-André Delsuc

The Atacama Large Millimeter/submillimeter Array (ALMA) offers new diagnostic possibilities that complement other commonly used diagnostics for the study of our Sun. In particular, ALMA's ability to serve as an essentially linear…

Reconstructing large-scale latent networks from observed dynamics is crucial for understanding complex systems. However, the existing methods based on compressive sensing are often rendered infeasible in practice by prohibitive…

Statistics Theory · Mathematics 2025-08-20 Zhaoyu Xing , Wei Zhong

One primary technical challenge in photoacoustic microscopy (PAM) is the necessary compromise between spatial resolution and imaging speed. In this study, we propose a novel application of deep learning principles to reconstruct…

Image and Video Processing · Electrical Eng. & Systems 2020-06-02 Anthony DiSpirito , Daiwei Li , Tri Vu , Maomao Chen , Dong Zhang , Jianwen Luo , Roarke Horstmeyer , Junjie Yao

We introduce SPRING, a novel stochastic proximal alternating linearized minimization algorithm for solving a class of non-smooth and non-convex optimization problems. Large-scale imaging problems are becoming increasingly prevalent due to…

Optimization and Control · Mathematics 2021-01-20 Derek Driggs , Junqi Tang , Jingwei Liang , Mike Davies , Carola-Bibiane Schönlieb

Assembly code analysis and comprehension play critical roles in applications like reverse engineering, yet they face substantial challenges due to low information density and a lack of explicit syntactic structures. While traditional masked…

Software Engineering · Computer Science 2025-05-23 Xinyi Wang , Jiashui Wang , Jinbo Su , Ke Wang , Peng Chen , Yanming Liu , Long Liu , Xiang Li , Yangdong Wang , Qiyuan Chen , Rongze Chen , Chunfu Jia

Spectral imaging enables spatially-resolved identification of materials in remote sensing, biomedicine, and astronomy. However, acquisition times require balancing spectral and spatial resolution with signal-to-noise. Hyperspectral imaging…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Nguyen Tran , Rupali Mankar , David Mayerich , Zhu Han

The graphical Lasso (GLASSO) is a widely used algorithm for learning high-dimensional undirected Gaussian graphical models (GGM). Given i.i.d. observations from a multivariate normal distribution, GLASSO estimates the precision matrix by…

Methodology · Statistics 2026-01-15 Ha Nguyen , Sumanta Basu

In recent years, many data augmentation techniques have been proposed to increase the diversity of input data and reduce the risk of overfitting on deep neural networks. In this work, we propose an easy-to-implement and model-free data…

Computer Vision and Pattern Recognition · Computer Science 2022-11-16 Kun He , Chang Liu , Stephen Lin , John E. Hopcroft

Fine-tuning large-scale pre-trained models with limited data presents significant challenges for generalization. While Sharpness-Aware Minimization (SAM) has proven effective in improving generalization by seeking flat minima, its…

Machine Learning · Computer Science 2026-04-21 Yuhang Liu , Tao Li , Zhehao Huang , Zuopeng Yang , Xiaolin Huang

Medical vision-language alignment through cross-modal contrastive learning shows promising performance in image-text matching tasks, such as retrieval and zero-shot classification. However, conventional cross-modal contrastive learning…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Chenyu Lian , Hong-Yu Zhou , Dongyun Liang , Jing Qin , Liansheng Wang

Massive MIMO is a variant of multiuser MIMO, where the number of antennas $M$ at the base-station is large, and generally much larger than the number of spatially multiplexed data streams to/from the users. It has been observed that in many…

Information Theory · Computer Science 2017-07-25 Saeid Haghighatshoar , Giuseppe Caire

Non-linear dimensionality reduction techniques such as manifold learning algorithms have become a common way for processing and analyzing high-dimensional patterns that often have attached a target that corresponds to the value of an…

Artificial Intelligence · Computer Science 2014-05-21 Ángela Fernández , Neta Rabin , Dalia Fishelov , José R. Dorronsoro

This study investigates the imaging ability of the time-domain linear sampling method (TLSM) when applied to laser ultrasonic (LU) tomography of subsurface defects from limited-aperture measurements. In this vein, the TLSM indicator and it…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Jian Song , Fatemeh Pourahmadian , Todd W. Murray , Venkatalakshmi V. Narumanchi

Next-generation radio interferometers, such as the Square Kilometre Array (SKA), will revolutionise our understanding of the universe through their unprecedented sensitivity and resolution. However, to realise these goals significant…

Instrumentation and Methods for Astrophysics · Physics 2017-11-20 Luke Pratley , Jason D. McEwen , Mayeul d'Avezac , Rafael E. Carrillo , Alexandru Onose , Yves Wiaux

This paper concerns the performance of the LASSO (also knows as basis pursuit denoising) for recovering sparse signals from undersampled, randomized, noisy measurements. We consider the recovery of the signal $x_o \in \mathbb{R}^N$ from $n$…

Statistics Theory · Mathematics 2013-09-26 Ali Mousavi , Arian Maleki , Richard G. Baraniuk

The purpose of image inpainting is to recover scratches and damaged areas using context information from remaining parts. In recent years, thanks to the resurgence of convolutional neural networks (CNNs), image inpainting task has made…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 Zeyu Lu , Junjun Jiang , Junqin Huang , Gang Wu , Xianming Liu