{"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}
{"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}
{"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}
{"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}
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}
{"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}
{"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}
{"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}
{"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}
Su-Xi Yu, Jing-Yuan He, Yi Wang, Yu-Jiao Cai, Jun Yang, Bo Lin, Weibin Yang, Jian Ruan
{"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}