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Compressive imaging aims to recover a latent image from under-sampled measurements, suffering from a serious ill-posed inverse problem. Recently, deep neural networks have been applied to this problem with superior results, owing to the…

图像与视频处理 · 电气工程与系统科学 2021-10-26 Yixiao Yang , Ran Tao , Kaixuan Wei , Ying Fu

Electromagnetic (EM) imaging is an important tool for non-invasive sensing with low-cost and portable devices. One emerging application is EM stroke imaging, which enables early diagnosis and continuous monitoring of brain strokes.…

信号处理 · 电气工程与系统科学 2025-09-08 Rui Guo , Yi Zhang , Yhonatan Kvich , Tianyao Huang , Maokun Li , Yonina C. Eldar

Blind Perspective-n-Point (PnP) is the problem of estimating the position and orientation of a camera relative to a scene, given 2D image points and 3D scene points, without prior knowledge of the 2D-3D correspondences. Solving for pose and…

计算机视觉与模式识别 · 计算机科学 2020-09-09 Dylan Campbell , Liu Liu , Stephen Gould

In recent years, numerous vision and learning tasks have been (re)formulated as nonconvex and nonsmooth programmings(NNPs). Although some algorithms have been proposed for particular problems, designing fast and flexible optimization…

计算机视觉与模式识别 · 计算机科学 2017-07-03 Yiyang Wang , Risheng Liu , Xiaoliang Song , Zhixun Su

State-of-the-art algorithms for imaging inverse problems (namely deblurring and reconstruction) are typically iterative, involving a denoising operation as one of its steps. Using a state-of-the-art denoising method in this context is not…

计算机视觉与模式识别 · 计算机科学 2016-08-03 Afonso M. Teodoro , José M. Bioucas-Dias , Mário A. T. Figueiredo

In this paper we study an algorithm for solving a minimization problem composed of a differentiable (possibly non-convex) and a convex (possibly non-differentiable) function. The algorithm iPiano combines forward-backward splitting with an…

计算机视觉与模式识别 · 计算机科学 2014-04-21 Peter Ochs , Yunjin Chen , Thomas Brox , Thomas Pock

Removal of noise from an image is an extensively studied problem in image processing. Indeed, the recent advent of sophisticated and highly effective denoising algorithms lead some to believe that existing methods are touching the ceiling…

计算机视觉与模式识别 · 计算机科学 2017-09-05 Yaniv Romano , Michael Elad , Peyman Milanfar

The ability to predict trajectories of surrounding agents and obstacles is a crucial component in many robotic applications. Data-driven approaches are commonly adopted for state prediction in scenarios where the underlying dynamics are…

机器人学 · 计算机科学 2025-04-28 Kaiyuan Tan , Peilun Li , Jun Wang , Thomas Beckers

Selecting an appropriate prior to compensate for information loss due to the measurement operator is a fundamental challenge in imaging inverse problems. Implicit priors based on denoising neural networks have become central to widely-used…

图像与视频处理 · 电气工程与系统科学 2025-06-10 Matthieu Terris , Ulugbek S. Kamilov , Thomas Moreau

We propose a new method that uses deep learning techniques to accelerate the popular alternating direction method of multipliers (ADMM) solution for inverse problems. The ADMM updates consist of a proximity operator, a least squares…

计算机视觉与模式识别 · 计算机科学 2017-11-16 Qi Wei , Kai Fan , Lawrence Carin , Katherine A. Heller

We propose an inexact proximal augmented Lagrangian method (P-ALM) for nonconvex structured optimization problems. The proposed method features an easily implementable rule not only for updating the penalty parameters, but also for…

最优化与控制 · 数学 2025-09-04 Adeyemi D. Adeoye , Puya Latafat , Alberto Bemporad

Deep image prior (DIP) serves as a good inductive bias for diverse inverse problems. Among them, denoising is known to be particularly challenging for the DIP due to noise fitting with the requirement of an early stopping. To address the…

图像与视频处理 · 电气工程与系统科学 2021-08-31 Yeonsik Jo , Se Young Chun , Jonghyun Choi

In this paper we develop proximal methods for statistical learning. Proximal point algorithms are useful in statistics and machine learning for obtaining optimization solutions for composite functions. Our approach exploits closed-form…

机器学习 · 统计学 2015-06-02 Nicholas G. Polson , James G. Scott , Brandon T. Willard

Learning-based model predictive control (MPC) is an approach designed to reduce the computational cost of MPC. In this paper, a constrained deep neural network (DNN) design is proposed to learn MPC policy for nonlinear systems. Using…

系统与控制 · 电气工程与系统科学 2023-03-30 Farshid Asadi

We propose a new plug-and-play priors (PnP) based MR image reconstruction method that systematically enforces data consistency while also exploiting deep-learning priors. Our prior is specified through a convolutional neural network (CNN)…

图像与视频处理 · 电气工程与系统科学 2022-04-12 Weijie Gan , Cihat Eldeniz , Jiaming Liu , Sihao Chen , Hongyu An , Ulugbek S. Kamilov

This paper introduces an optimal control framework to address the inverse problem using a learned regularizer, with applications in image reconstruction. We build upon the concept of Learnable Optimization Algorithms (LOA), which combine…

最优化与控制 · 数学 2024-09-04 Wanyu Bian

In this paper, we develop a parameterized proximal point algorithm (P-PPA) for solving a class of separable convex programming problems subject to linear and convex constraints. The proposed algorithm is provable to be globally convergent…

最优化与控制 · 数学 2018-12-11 Jianchao Bai , Hongchao Zhang , Jicheng Li

We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized under the constraint that the solution explains the observations…

最优化与控制 · 数学 2012-10-10 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo

In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the…

数值分析 · 数学 2021-04-15 Babak Maboudi Afkham , Julianne Chung , Matthias Chung

Iterative thresholding algorithms are well-suited for high-dimensional problems in sparse recovery and compressive sensing. The performance of this class of algorithms depends heavily on the tuning of certain threshold parameters. In…

信息论 · 计算机科学 2013-11-04 Ali Mousavi , Arian Maleki , Richard G. Baraniuk
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