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Recently, studies have shown the potential of integrating field-type iterative methods with deep learning (DL) techniques in solving inverse scattering problems (ISPs). In this article, we propose a novel Variational Born Iterative Network,…

信号处理 · 电气工程与系统科学 2025-02-04 Ziqing Xing , Zhaoyang Zhang , Zirui Chen , Yusong Wang , Haoran Ma , Zhun Wei

Adherent biological cells generate traction forces on a substrate that play a central role for migration, mechanosensing, differentiation, and collective behavior. The established method for quantifying this cell-substrate interaction is…

细胞行为 · 定量生物学 2020-05-05 Yunfei Huang , Gerhard Gompper , Benedikt Sabass

Bayesian networks (BN) are used in a big range of applications but they have one issue concerning parameter learning. In real application, training data are always incomplete or some nodes are hidden. To deal with this problem many learning…

人工智能 · 计算机科学 2012-04-12 Fradj Ben Lamine , Karim Kalti , Mohamed Ali Mahjoub

Electrical impedance tomography (EIT) provides functional images of an electrical conductivity distribution inside the human body. Since the 1980s, many potential clinical applications have arisen using inexpensive portable EIT devices. EIT…

偏微分方程分析 · 数学 2017-03-07 Kyounghun Lee , Eung Je Woo , Jin Keun Seo

Weight initialization plays a crucial role in the optimization behavior and convergence efficiency of neural networks. Most existing initialization methods, such as Xavier and Kaiming initializations, rely on random sampling and do not…

机器学习 · 计算机科学 2026-02-09 Shaowen Wang , Tariq Alkhalifah

A variety of deep neural network (DNN)-based image denoising methods have been proposed for use with medical images. These methods are typically trained by minimizing loss functions that quantify a distance between the denoised image, or a…

图像与视频处理 · 电气工程与系统科学 2022-11-28 Kaiyan Li , Hua Li , Mark A. Anastasio

EM algorithm is a convenient tool for maximum likelihood model fitting when the data are incomplete or when there are latent variables or hidden states. In this review article we explain that EM algorithm is a natural computational scheme…

统计方法学 · 统计学 2011-04-13 Zhangzhang Si , Haifeng Gong , Song-Chun Zhu , Ying Nian Wu

The affine rank minimization (ARM) problem arises in many real-world applications. The goal is to recover a low-rank matrix from a small amount of noisy affine measurements. The original problem is NP-hard, and so directly solving the…

信息论 · 计算机科学 2020-01-08 Zhipeng Xue , Xiaojun Yuan , Junjie Ma , Yi Ma

Total variation (TV) regularization is popular in image restoration and reconstruction due to its ability to preserve image edges. To date, most research activities on TV models concentrate on image restoration from blurry and noisy…

最优化与控制 · 数学 2010-01-13 Yunhai Xiao , Junfeng Yang

Learned iterative shrinkage thresholding algorithm (LISTA), which adopts deep learning techniques to learn optimal algorithm parameters from labeled training data, can be successfully applied to small-scale multidimensional harmonic…

信号处理 · 电气工程与系统科学 2021-07-21 Rong Fu , Yimin Liu , Tianyao Huang , Yonina C. Eldar

Image matting is an important vision problem. The main stream methods for it combine sampling-based methods and propagation-based methods. In this paper, we deal with the combination with a normalized weighting parameter, which could well…

计算机视觉与模式识别 · 计算机科学 2017-10-30 Ping Li , Tingyan Duan , Yongfeng Cao

Plug-and-play priors (PnP) is a powerful framework for regularizing imaging inverse problems by using advanced denoisers within an iterative algorithm. Recent experimental evidence suggests that PnP algorithms achieve state-of-the-art…

计算机视觉与模式识别 · 计算机科学 2021-03-25 Yu Sun , Brendt Wohlberg , Ulugbek S. Kamilov

Currently, the deep neural network is the mainstream for machine learning, and being actively developed for biomedical imaging applications with an increasing emphasis on tomographic reconstruction for MRI, CT, and other imaging modalities.…

医学物理 · 物理学 2018-05-31 Qing Lyu , Tao Xu , Hongming Shan , Ge Wang

Ill-posed linear inverse problems (ILIP), such as restoration and reconstruction, are a core topic of signal/image processing. A standard approach to deal with ILIP uses a constrained optimization problem, where a regularization function is…

最优化与控制 · 数学 2016-11-15 Manya V. Afonso , Jose M. Bioucas-Dias , Mario A. T. Figueiredo

We present a novel approach for the inverse problem in electrical impedance tomography based on regularized quadratic regression. Our contribution introduces a new formulation for the forward model in the form of a nonlinear integral…

地球物理 · 物理学 2012-05-29 Nick Polydorides , Alireza Aghasi , Eric L. Miller

The performance of Deep Neural Networks (DNNs) keeps elevating in recent years with increasing network depth and width. To enable DNNs on edge devices like mobile phones, researchers proposed several network compression methods including…

计算机视觉与模式识别 · 计算机科学 2020-01-27 Yuhui Xu , Yuxi Li , Shuai Zhang , Wei Wen , Botao Wang , Yingyong Qi , Yiran Chen , Weiyao Lin , Hongkai Xiong

Iterative regularization exploits the implicit bias of an optimization algorithm to regularize ill-posed problems. Constructing algorithms with such built-in regularization mechanisms is a classic challenge in inverse problems but also in…

最优化与控制 · 数学 2022-02-02 Cesare Molinari , Mathurin Massias , Lorenzo Rosasco , Silvia Villa

Objective: This paper investigates how generative models, trained on ground-truth images, can be used \changes{as} priors for inverse problems, penalizing reconstructions far from images the generator can produce. The aim is that learned…

图像与视频处理 · 电气工程与系统科学 2023-08-07 Margaret Duff , Ivor J. A. Simpson , Matthias J. Ehrhardt , Neill D. F. Campbell

The stochastic gradient descent (SGD) algorithm has achieved remarkable success in training deep learning models. However, it has several limitations, including susceptibility to vanishing gradients, sensitivity to input data, and a lack of…

机器学习 · 计算机科学 2025-03-14 Chengcheng Yan , Jiawei Xu , Qingsong Wang , Zheng Peng

Restricted Boltzmann machines (RBMs) are energy-based neural-networks which are commonly used as the building blocks for deep architectures neural architectures. In this work, we derive a deterministic framework for the training,…

机器学习 · 计算机科学 2018-10-17 Eric W. Tramel , Marylou Gabrié , Andre Manoel , Francesco Caltagirone , Florent Krzakala