Pub Date : 2024-05-07DOI: 10.1142/s021969132450022x
Zhao Luo, Yonghong Lan, Litao Zheng, Lei Ding
{"title":"Improved-Equivalent-Input-Disturbance-Based Preview Repetitive Control for Takagi-Sugeno Fuzzy System with State Delay","authors":"Zhao Luo, Yonghong Lan, Litao Zheng, Lei Ding","doi":"10.1142/s021969132450022x","DOIUrl":"https://doi.org/10.1142/s021969132450022x","url":null,"abstract":"","PeriodicalId":508116,"journal":{"name":"International Journal of Wavelets, Multiresolution and Information Processing","volume":"163 S3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141001808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-25DOI: 10.1142/s0219691324500218
M. L. Arenas-Blazquez, A. San-Antolin
{"title":"Some Compactly Supported Dual Wavelets Associated to The Quincunx Matrix in ℝ3","authors":"M. L. Arenas-Blazquez, A. San-Antolin","doi":"10.1142/s0219691324500218","DOIUrl":"https://doi.org/10.1142/s0219691324500218","url":null,"abstract":"","PeriodicalId":508116,"journal":{"name":"International Journal of Wavelets, Multiresolution and Information Processing","volume":"13 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140653188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-24DOI: 10.1142/s021969132450019x
Jyoti, L. K. Vashisht
{"title":"On Matrix-Valued Riesz Bases Over LCA Groups","authors":"Jyoti, L. K. Vashisht","doi":"10.1142/s021969132450019x","DOIUrl":"https://doi.org/10.1142/s021969132450019x","url":null,"abstract":"","PeriodicalId":508116,"journal":{"name":"International Journal of Wavelets, Multiresolution and Information Processing","volume":"66 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140660068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-22DOI: 10.1142/s0219691324500139
Baohuai Sheng
We consider bounded linear operators from the view of functional reproducing property. For some bounded linear operators associated with orthogonal polynomials we define an inner product space associated with a kernel constructed with orthogonal polynomials, show that it is a functional reproducing kernel Hilbert space (FRKHS) associated with these bounded linear operators and give decay rate for the best FRKHS approximation with a [Formula: see text]-functional associated with the FRKHS. On this basis, we provide a learning rate for kernel regularized regression whose hypothesis space is the defined FRKHS. As applications, we define some concrete FRKHSs associated with polynomial operators such as the Bernstein–Durrmeyer operators, the de la Vallée Poussin operators on both the unit sphere [Formula: see text] and the unit ball [Formula: see text]. We show that these polynomial operators have reproducing property with respect to the corresponding concrete FRKHSs and show the learning rate for the kernel regularized regression. In short, we provide a way of constructing FRKHS operators with Fourier multipliers and show a learning framework from the view of operator approximation.
我们从函数再现特性的角度来考虑有界线性算子。对于一些与正交多项式相关的有界线性算子，我们定义了一个与用正交多项式构造的核相关的内积空间，证明它是一个与这些有界线性算子相关的函数再现核希尔伯特空间（FRKHS），并给出了与 FRKHS 相关的[公式：见正文]函数的最佳 FRKHS 近似的衰减率。在此基础上，我们给出了以定义的 FRKHS 为假设空间的核正则化回归的学习率。作为应用，我们定义了一些与多项式算子相关的具体 FRKHS，如伯恩斯坦-杜尔迈耶算子、单位球上的 de la Vallée Poussin 算子[公式：见正文]和单位球上的 de la Vallée Poussin 算子[公式：见正文]。我们证明了这些多项式算子对相应的具体 FRKHS 具有重现特性，并展示了核正则化回归的学习率。总之，我们提供了一种用傅里叶乘数构造 FRKHS 算子的方法，并从算子近似的角度展示了一个学习框架。
{"title":"Reproducing property of bounded linear operators and kernel regularized least square regressions","authors":"Baohuai Sheng","doi":"10.1142/s0219691324500139","DOIUrl":"https://doi.org/10.1142/s0219691324500139","url":null,"abstract":"We consider bounded linear operators from the view of functional reproducing property. For some bounded linear operators associated with orthogonal polynomials we define an inner product space associated with a kernel constructed with orthogonal polynomials, show that it is a functional reproducing kernel Hilbert space (FRKHS) associated with these bounded linear operators and give decay rate for the best FRKHS approximation with a [Formula: see text]-functional associated with the FRKHS. On this basis, we provide a learning rate for kernel regularized regression whose hypothesis space is the defined FRKHS. As applications, we define some concrete FRKHSs associated with polynomial operators such as the Bernstein–Durrmeyer operators, the de la Vallée Poussin operators on both the unit sphere [Formula: see text] and the unit ball [Formula: see text]. We show that these polynomial operators have reproducing property with respect to the corresponding concrete FRKHSs and show the learning rate for the kernel regularized regression. In short, we provide a way of constructing FRKHS operators with Fourier multipliers and show a learning framework from the view of operator approximation.","PeriodicalId":508116,"journal":{"name":"International Journal of Wavelets, Multiresolution and Information Processing","volume":"20 23","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140674080","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-19DOI: 10.1142/s0219691324500152
Jiaqi Song, Lian Zou, Liqing Zhou, Ziao Liu, Cien Fan, Bin Wang
{"title":"Complex-valued Temporal Convolutional Network for Speech Enhancement","authors":"Jiaqi Song, Lian Zou, Liqing Zhou, Ziao Liu, Cien Fan, Bin Wang","doi":"10.1142/s0219691324500152","DOIUrl":"https://doi.org/10.1142/s0219691324500152","url":null,"abstract":"","PeriodicalId":508116,"journal":{"name":"International Journal of Wavelets, Multiresolution and Information Processing","volume":" 25","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140683419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-19DOI: 10.1142/s0219691324500140
C. Hon, Zige Liu, Tao Qian, Wei Qu, Jiman Zhao
{"title":"Trends by Adaptive Fourier Decomposition and Application in Prediction","authors":"C. Hon, Zige Liu, Tao Qian, Wei Qu, Jiman Zhao","doi":"10.1142/s0219691324500140","DOIUrl":"https://doi.org/10.1142/s0219691324500140","url":null,"abstract":"","PeriodicalId":508116,"journal":{"name":"International Journal of Wavelets, Multiresolution and Information Processing","volume":" 705","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140681981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-19DOI: 10.1142/s0219691324500188
Xuehui Mei, Jingjing Ren, Yang Xia, Haijun Jiang
{"title":"Dynamic analysis of the IEASWR information propagation model with Holling-type II functional response","authors":"Xuehui Mei, Jingjing Ren, Yang Xia, Haijun Jiang","doi":"10.1142/s0219691324500188","DOIUrl":"https://doi.org/10.1142/s0219691324500188","url":null,"abstract":"","PeriodicalId":508116,"journal":{"name":"International Journal of Wavelets, Multiresolution and Information Processing","volume":" May","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140682937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-19DOI: 10.1142/s0219691324500176
Xizhe Xie, Ning Bi, Wengu Chen
{"title":"Sparse Recovery with Coherent Frames via ℓ1-2–Analysis","authors":"Xizhe Xie, Ning Bi, Wengu Chen","doi":"10.1142/s0219691324500176","DOIUrl":"https://doi.org/10.1142/s0219691324500176","url":null,"abstract":"","PeriodicalId":508116,"journal":{"name":"International Journal of Wavelets, Multiresolution and Information Processing","volume":" 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140684384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-19DOI: 10.1142/s0219691324500164
Brody Johnson, Simon McCreary-Ellis
{"title":"Stability of the a trous algorithm under iteration","authors":"Brody Johnson, Simon McCreary-Ellis","doi":"10.1142/s0219691324500164","DOIUrl":"https://doi.org/10.1142/s0219691324500164","url":null,"abstract":"","PeriodicalId":508116,"journal":{"name":"International Journal of Wavelets, Multiresolution and Information Processing","volume":" 17","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140685561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-08DOI: 10.1142/s0219691324500206
Su-Xi Yu, Jing-Yuan He, Yi Wang, Yu-Jiao Cai, Jun Yang, Bo Lin, Weibin Yang, Jian Ruan
Graves' disease is a common condition that is diagnosed clinically by determining the smoothness of the thyroid texture and its morphology in ultrasound images. Currently, the most widely used approach for the automated diagnosis of Graves' disease utilizes Convolutional Neural Networks (CNNs) for both feature extraction and classification. However, these methods demonstrate limited efficacy in capturing texture features. Given the high capacity of wavelets in describing texture features, this research integrates learnable wavelet modules utilizing the Lifting Scheme into CNNs and incorporates a parallel wavelet branch into the ResNet18 model to enhance texture feature extraction. Our model can analyze texture features in spatial and frequency domains simultaneously, leading to optimized classification accuracy. We conducted experiments on collected ultrasound datasets and publicly available natural image texture datasets, our proposed network achieved 97.27% accuracy and 95.60% recall on ultrasound datasets, 60.765% accuracy on natural image texture datasets, surpassing the accuracy of ResNet and conrming the effectiveness of our approach.
{"title":"Texture Classification Network Integrating Adaptive Wavelet Transform","authors":"Su-Xi Yu, Jing-Yuan He, Yi Wang, Yu-Jiao Cai, Jun Yang, Bo Lin, Weibin Yang, Jian Ruan","doi":"10.1142/s0219691324500206","DOIUrl":"https://doi.org/10.1142/s0219691324500206","url":null,"abstract":"Graves' disease is a common condition that is diagnosed clinically by determining the smoothness of the thyroid texture and its morphology in ultrasound images. Currently, the most widely used approach for the automated diagnosis of Graves' disease utilizes Convolutional Neural Networks (CNNs) for both feature extraction and classification. However, these methods demonstrate limited efficacy in capturing texture features. Given the high capacity of wavelets in describing texture features, this research integrates learnable wavelet modules utilizing the Lifting Scheme into CNNs and incorporates a parallel wavelet branch into the ResNet18 model to enhance texture feature extraction. Our model can analyze texture features in spatial and frequency domains simultaneously, leading to optimized classification accuracy. We conducted experiments on collected ultrasound datasets and publicly available natural image texture datasets, our proposed network achieved 97.27% accuracy and 95.60% recall on ultrasound datasets, 60.765% accuracy on natural image texture datasets, surpassing the accuracy of ResNet and conrming the effectiveness of our approach.","PeriodicalId":508116,"journal":{"name":"International Journal of Wavelets, Multiresolution and Information Processing","volume":"5 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140729735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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