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Interpretation of Deep Neural Networks (DNNs) training as an optimal control problem with nonlinear dynamical systems has received considerable attention recently, yet the algorithmic development remains relatively limited. In this work, we…

Machine Learning · Computer Science 2021-06-14 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

Deep neural network based methods are the state of the art in various image restoration problems. Standard supervised learning frameworks require a set of noisy measurement and clean image pairs for which a distance between the output of…

Image and Video Processing · Electrical Eng. & Systems 2021-03-31 Rihuan Ke , Carola-Bibiane Schönlieb

Deep Neural Networks (DNNs) have obtained impressive performance across tasks, however they still remain as black boxes, e.g., hard to theoretically analyze. At the same time, Polynomial Networks (PNs) have emerged as an alternative method…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Grigorios G Chrysos , Bohan Wang , Jiankang Deng , Volkan Cevher

We propose a novel multi-layer neural network architecture that gives a promising neural network empowered optimization approach to the image restoration problem. The proposed architecture is motivated by the recent study of monotone…

Optimization and Control · Mathematics 2025-10-27 Haruya Shimizu , Masahiro Yukawa

While the depth of convolutional neural networks has attracted substantial attention in the deep learning research, the width of these networks has recently received greater interest. The width of networks, defined as the size of the…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Peng Liu , Xiaoxiao Zhou , Yangjunyi Li , El Basha Mohammad D , Ruogu Fang

Although sparse-view computed tomography (CT) has significantly reduced radiation dose, it also introduces severe artifacts which degrade the image quality. In recent years, deep learning-based methods for inverse problems have made…

Image and Video Processing · Electrical Eng. & Systems 2024-01-02 Shuo Xu , Yucheng Zhang , Gang Chen , Xincheng Xiang , Peng Cong , Yuewen Sun

In this paper, we will introduce a novel deep model named Reconciled Polynomial Network (RPN) for deep function learning. RPN has a very general architecture and can be used to build models with various complexities, capacities, and levels…

Machine Learning · Computer Science 2024-07-09 Jiawei Zhang

Poisson-Gaussian noise describes the noise of various imaging systems thus the need of efficient algorithms for Poisson-Gaussian image restoration. Deep learning methods offer state-of-the-art performance but often require sensor-specific…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Maud Biquard , Marie Chabert , Florence Genin , Christophe Latry , Thomas Oberlin

The ongoing decarbonisation of power systems is driving an increasing reliance on distributed energy resources, which introduces complex and nonlinear interactions that are difficult to capture in conventional optimisation models. As a…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Yogesh Pipada Sunil Kumar , S. Ali Pourmousavi , Jon A. R. Liisberg , Julian Lesmos-Vinasco

Deep reinforcement learning (DRL) has seen several successful applications to process control. Common methods rely on a deep neural network structure to model the controller or process. With increasingly complicated control structures, the…

Deep Reinforcement Learning (DRL) is emerging as a promising approach to generate adaptive behaviors for robotic platforms. However, a major drawback of using DRL is the data-hungry training regime that requires millions of trial and error…

The massive integration of renewable-based distributed energy resources (DERs) inherently increases the energy system's complexity, especially when it comes to defining its operational schedule. Deep reinforcement learning (DRL) algorithms…

Systems and Control · Electrical Eng. & Systems 2023-05-10 Hou Shengren , Pedro P. Vergara , Edgar Mauricio Salazar Duque , Peter Palensky

Relying on either deep models or physical models are two mainstream approaches for solving inverse sample reconstruction problems in programmable illumination computational microscopy. Solutions based on physical models possess strong…

Image and Video Processing · Electrical Eng. & Systems 2024-03-21 Ruiqing Sun , Delong Yang , Shaohui Zhang , Qun Hao

As an integral component of blind image deblurring, non-blind deconvolution removes image blur with a given blur kernel, which is essential but difficult due to the ill-posed nature of the inverse problem. The predominant approach is based…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Dong Gong , Zhen Zhang , Qinfeng Shi , Anton van den Hengel , Chunhua Shen , Yanning Zhang

Objective: Acquiring fully sampled training data is challenging for many MRI applications. We present a self-supervised image reconstruction method, termed ReSiDe, capable of recovering images solely from undersampled data. Materials and…

Image and Video Processing · Electrical Eng. & Systems 2024-11-26 Muhammad Shafique , Sizhuo Liu , Philip Schniter , Rizwan Ahmad

While machine learning approaches to image restoration offer great promise, current methods risk training models fixated on performing well only for image corruption of a particular level of difficulty---such as a certain level of noise or…

Computer Vision and Pattern Recognition · Computer Science 2017-08-03 Ruohan Gao , Kristen Grauman

Alternating direction method of multiplier (ADMM) is a widely used algorithm for solving constrained optimization problems in image restoration. Among many useful features, one critical feature of the ADMM algorithm is its modular structure…

Computer Vision and Pattern Recognition · Computer Science 2016-11-14 Stanley H. Chan , Xiran Wang , Omar A. Elgendy

Plug-and-Play Alternating Direction Method of Multipliers (PnP-ADMM) is a widely-used algorithm for solving inverse problems by integrating physical measurement models and convolutional neural network (CNN) priors. PnP-ADMM has been…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Chicago Park , Shirin Shoushtari , Weijie Gan , Ulugbek S. Kamilov

Deep neural networks (DNNs) have been widely applied to solve real-world regression problems. However, selecting optimal network structures remains a significant challenge. This study addresses this issue by linking neuron selection in DNNs…

Computation · Statistics 2025-09-30 Noah Yi-Ting Hung , Li-Hsiang Lin , Vince D. Calhoun

We propose a new approach for non-Cartesian magnetic resonance image reconstruction. While unrolled architectures provide robustness via data-consistency layers, embedding measurement operators in Deep Neural Network (DNN) can become…

Image and Video Processing · Electrical Eng. & Systems 2024-05-29 Yiwei Chen , Chao Tang , Amir Aghabiglou , Chung San Chu , Yves Wiaux
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