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Semidefinite programming is an indispensable tool in computer vision, but general-purpose solvers for semidefinite programs are often too slow and memory intensive for large-scale problems. We propose a general framework to approximately…

计算机视觉与模式识别 · 计算机科学 2016-08-10 Sohil Shah , Abhay Kumar , Carlos Castillo , David Jacobs , Christoph Studer , Tom Goldstein

The objective of image super-resolution is to reconstruct a high-resolution (HR) image with the prior knowledge from one or several low-resolution (LR) images. However, in the real world, due to the limited complementary information, the…

图像与视频处理 · 电气工程与系统科学 2024-12-16 Jing Sun , Qiangqiang Yuan , Huanfeng Shen , Jie Li , Liangpei Zhang

Multiview super-resolution image reconstruction (SRIR) is often cast as a resampling problem by merging non-redundant data from multiple low-resolution (LR) images on a finer high-resolution (HR) grid, while inverting the effect of the…

计算机视觉与模式识别 · 计算机科学 2017-05-04 Vildan Atalay Aydin , Hassan Foroosh

In the paper, we develop a composite version of Mirror Prox algorithm for solving convex-concave saddle point problems and monotone variational inequalities of special structure, allowing to cover saddle point/variational analogies of what…

最优化与控制 · 数学 2014-05-23 Niao He , Anatoli Juditsky , Arkadi Nemirovski

Stereo Imaging technology integration into medical diagnostics and surgeries brings a great revolution in the field of medical sciences. Now, surgeons and physicians have better insight into the anatomy of patients' organs. Like other…

图像与视频处理 · 电气工程与系统科学 2024-09-01 Mansoor Hayat , Supavadee Armvith , Titipat Achakulvisut

We present a novel feature selection technique, Sparse Linear Centroid-Encoder (SLCE). The algorithm uses a linear transformation to reconstruct a point as its class centroid and, at the same time, uses the $\ell_1$-norm penalty to filter…

机器学习 · 计算机科学 2023-06-12 Tomojit Ghosh , Michael Kirby , Karim Karimov

The popular Lasso approach for sparse estimation can be derived via marginalization of a joint density associated with a particular stochastic model. A different marginalization of the same probabilistic model leads to a different…

机器学习 · 统计学 2013-02-28 Aleksandr Y. Aravkin , James V. Burke , Alessandro Chiuso , Gianluigi Pillonetto

Recent work has shown impressive localization performance using only images of ground textures taken with a downward facing monocular camera. This provides a reliable navigation method that is robust to feature sparse environments and…

机器人学 · 计算机科学 2023-03-13 Kyle M. Hart , Brendan Englot , Ryan P. O'Shea , John D. Kelly , David Martinez

In this paper, we investigate a class of nonconvex and nonsmooth fractional programming problems, where the numerator composed of two parts: a convex, nonsmooth function and a differentiable, nonconvex function, and the denominator consists…

最优化与控制 · 数学 2025-03-18 Deren Han , Min Tao , Zihao Xia

Lensless imaging is a popular research field for the advantages of small size, wide field-of-view and low aberration in recent years. However, some traditional lensless imaging methods suffer from slow convergence, mechanical errors and…

Traditional model-based image reconstruction (MBIR) methods combine forward and noise models with simple object priors. Recent application of deep learning methods for image reconstruction provides a successful data-driven approach to…

图像与视频处理 · 电气工程与系统科学 2022-05-20 Ling Chen , Zhishen Huang , Yong Long , Saiprasad Ravishankar

We propose a new mass-mapping algorithm, specifically designed to recover small-scale information from a combination of gravitational shear and flexion. Including flexion allows us to supplement the shear on small scales in order to…

宇宙学与河外天体物理 · 物理学 2016-06-08 Francois Lanusse , Jean-Luc Starck , Adrienne Leonard , Sandrine Pires

Inverse problems defined on the sphere arise in many fields, including seismology and cosmology where problems are defined on the globe and the cosmic sphere. These are generally high-dimensional and computationally very complex and, as a…

数据分析、统计与概率 · 物理学 2023-01-05 Augustin Marignier , Jason D. McEwen , Ana M. G. Ferreira , Thomas D. Kitching

Many imaging science tasks can be modeled as a discrete linear inverse problem. Solving linear inverse problems is often challenging, with ill-conditioned operators and potentially non-unique solutions. Embedding prior knowledge, such as…

数值分析 · 数学 2023-12-07 Elizabeth Newman , Jack Michael Solomon , Matthias Chung

We study the Sparse Plus Low-Rank decomposition problem (SLR), which is the problem of decomposing a corrupted data matrix into a sparse matrix of perturbations plus a low-rank matrix containing the ground truth. SLR is a fundamental…

机器学习 · 统计学 2023-11-15 Dimitris Bertsimas , Ryan Cory-Wright , Nicholas A. G. Johnson

Synthetic aperture radar automatic target recognition (SAR ATR) methods fall short with limited training data. In this letter, we propose a causal interventional ATR method (CIATR) to formulate the problem of limited SAR data which helps us…

图像与视频处理 · 电气工程与系统科学 2023-08-21 Chenwei Wang , Xin Chen , You Qin , Siyi Luo , Yulin Huang , Jifang Pei , Jianyu Yang

Short-and-sparse deconvolution (SaSD) aims to recover a short kernel and a long and sparse signal from their convolution. In the literature, formulations of blind deconvolution is either a convex programming via a matrix lifting of…

信号处理 · 电气工程与系统科学 2021-11-23 Cheng Cheng , Wei Dai

In this paper, we consider the challenge of reconstructing jointly sparse vectors from linear measurements. Firstly, we show that by utilizing the rank of the output data matrix we can reduce the problem to a full column rank case. This…

数值分析 · 数学 2019-05-28 Armenak Petrosyan , Hoang Tran , Clayton Webster

Thalamic alterations are relevant to many neurological disorders including Alzheimer's disease, Parkinson's disease and multiple sclerosis. Routine interventions to improve symptom severity in movement disorders, for example, often consist…

计算机视觉与模式识别 · 计算机科学 2018-07-31 Veronica Corona , Jan Lellmann , Peter Nestor , Carola-Bibiane Schoenlieb , Julio Acosta-Cabronero

Inverse medium scattering is an ill-posed, nonlinear wave-based imaging problem arising in medical imaging, remote sensing, and non-destructive testing. Machine learning (ML) methods offer increased inference speed and flexibility in…