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Journal of Nonlinear and Variational Analysis最新文献

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Adaptively weighted difference model of anisotropic and isotropic total variation for image denoising 各向异性和各向同性全变差自适应加权差分模型的图像去噪
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2023-08-01 DOI: 10.23952/jnva.7.2023.4.07
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引用次数: 0
Double inertial parameters forward-backward splitting method: Applications to compressed sensing, image processing, and SCAD penalty problems 双惯性参数前向后分裂方法:应用于压缩感知，图像处理，和SCAD罚问题
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2023-08-01 DOI: 10.23952/jnva.7.2023.4.10
{"title":"Double inertial parameters forward-backward splitting method: Applications to compressed sensing, image processing, and SCAD penalty problems","authors":"","doi":"10.23952/jnva.7.2023.4.10","DOIUrl":"https://doi.org/10.23952/jnva.7.2023.4.10","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73152317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weighted-type image segmentation model via coupling heat kernel convolution with high-order total variation 基于高阶总变分耦合热核卷积的加权图像分割模型
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2023-08-01 DOI: 10.23952/jnva.7.2023.4.03
{"title":"Weighted-type image segmentation model via coupling heat kernel convolution with high-order total variation","authors":"","doi":"10.23952/jnva.7.2023.4.03","DOIUrl":"https://doi.org/10.23952/jnva.7.2023.4.03","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82991406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sparse broadband beamformer design via proximal optimization Techniques 基于近邻优化技术的稀疏宽带波束形成器设计
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2023-08-01 DOI: 10.23952/jnva.7.2023.4.02
{"title":"Sparse broadband beamformer design via proximal optimization Techniques","authors":"","doi":"10.23952/jnva.7.2023.4.02","DOIUrl":"https://doi.org/10.23952/jnva.7.2023.4.02","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75886191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multitemporal image cloud removal using group sparsity and nonconvex low-rank approximation 基于群稀疏和非凸低秩逼近的多时相图像云去除
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2023-08-01 DOI: 10.23952/jnva.7.2023.4.05
{"title":"Multitemporal image cloud removal using group sparsity and nonconvex low-rank approximation","authors":"","doi":"10.23952/jnva.7.2023.4.05","DOIUrl":"https://doi.org/10.23952/jnva.7.2023.4.05","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84492041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Drop-DIP: A single-image denoising method based on deep image prior Drop-DIP:一种基于深度图像先验的单图像去噪方法
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2023-08-01 DOI: 10.23952/jnva.7.2023.4.04
Xueding Zhang, Zhemin Li, Hongxia Wang
{"title":"Drop-DIP: A single-image denoising method based on deep image prior","authors":"Xueding Zhang, Zhemin Li, Hongxia Wang","doi":"10.23952/jnva.7.2023.4.04","DOIUrl":"https://doi.org/10.23952/jnva.7.2023.4.04","url":null,"abstract":". Over the past few years, deep learning methods have emerged as powerful image denoising tools. Among them, unsupervised deep learning without external training data is more practical and challenging. Reducing noisy overfitting is challenging due to single-image unsupervised learning is prone to overfitting. In this paper, we propose a method named drop-DIP combing Deep Image Prior (DIP) with drop-out for the first time to solve the above problems. In our method, we construct new network training pairs by performing drop-out training on the Bernoulli sampling of the input and output, and then construct a regularization term by using the corrected bias of the output and the generated prior. Finally, update the parameters through the Alternating Direction Method of Multipliers (ADMM) algorithm. Experiments demonstrate that drop-DIP can alleviate the overfitting difficulty in DIP, facilitate the early stopping of the network, and is applicable to different noise models. Furthermore, our method has good performance on Peak Signal to Noise Ratio (PSNR), Structural Similarity (SSIM), and Learned Perceptual Image Patch Similarity (LPIPS) metrics validated by two different datasets.","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73993323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The sampling complexity on nonconvex sparse phase retrieval problem 非凸稀疏相位检索问题的采样复杂度
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2023-08-01 DOI: 10.23952/jnva.7.2023.4.09
{"title":"The sampling complexity on nonconvex sparse phase retrieval problem","authors":"","doi":"10.23952/jnva.7.2023.4.09","DOIUrl":"https://doi.org/10.23952/jnva.7.2023.4.09","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82516003","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Semi-implicit back propagation 半隐式反向传播
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2023-08-01 DOI: 10.23952/jnva.7.2023.4.08
{"title":"Semi-implicit back propagation","authors":"","doi":"10.23952/jnva.7.2023.4.08","DOIUrl":"https://doi.org/10.23952/jnva.7.2023.4.08","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84037292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Editorial: Special issue on fast algorithms and theories for applications in signal and image processing 社论:关于信号和图像处理应用的快速算法和理论的特刊
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2023-08-01 DOI: 10.23952/jnva.7.2023.4.01
{"title":"Editorial: Special issue on fast algorithms and theories for applications in signal and image processing","authors":"","doi":"10.23952/jnva.7.2023.4.01","DOIUrl":"https://doi.org/10.23952/jnva.7.2023.4.01","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80673693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Absolute value equations with data uncertainty in the $l_1$ and $l_infty$ norm balls 在$l_1$和$l_infty$范数球中具有数据不确定性的绝对值方程
IF 2.9 2区 数学
Journal of Nonlinear and Variational Analysis Pub Date : 2023-08-01 DOI: 10.23952/jnva.7.2023.4.06
{"title":"Absolute value equations with data uncertainty in the $l_1$ and $l_infty$ norm balls","authors":"","doi":"10.23952/jnva.7.2023.4.06","DOIUrl":"https://doi.org/10.23952/jnva.7.2023.4.06","url":null,"abstract":"","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75698150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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