Pub Date : 2022-05-10DOI: 10.1142/s0219691322500175
Zijie Dong, Jiawen Gong, Bin Zou, Yichi Wang, Jie Xu
{"title":"Generalization and learning rate of multi-class support vector classification and regression","authors":"Zijie Dong, Jiawen Gong, Bin Zou, Yichi Wang, Jie Xu","doi":"10.1142/s0219691322500175","DOIUrl":"https://doi.org/10.1142/s0219691322500175","url":null,"abstract":"","PeriodicalId":158567,"journal":{"name":"Int. J. Wavelets Multiresolution Inf. Process.","volume":"28 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123544493","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 : 2022-04-25DOI: 10.1142/s021969132250014x
Chao Ma, Shanshan Pei, Guoliang Sun, Ran Meng, Luo Kun
{"title":"Disparity estimation based on fusion of vision and LiDAR","authors":"Chao Ma, Shanshan Pei, Guoliang Sun, Ran Meng, Luo Kun","doi":"10.1142/s021969132250014x","DOIUrl":"https://doi.org/10.1142/s021969132250014x","url":null,"abstract":"","PeriodicalId":158567,"journal":{"name":"Int. J. Wavelets Multiresolution Inf. Process.","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125882775","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 : 2022-04-25DOI: 10.1142/s0219691322500151
Yu Bai, J. Pei, Min Li
{"title":"Nonlinear subspace clustering using non-convex Schatten-p norm regularization","authors":"Yu Bai, J. Pei, Min Li","doi":"10.1142/s0219691322500151","DOIUrl":"https://doi.org/10.1142/s0219691322500151","url":null,"abstract":"","PeriodicalId":158567,"journal":{"name":"Int. J. Wavelets Multiresolution Inf. Process.","volume":"15 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120927480","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 : 2022-04-19DOI: 10.1142/s0219691322500114
A. T. Mithun, M. C. Lineesh
A multiscaling equation in the Fourier domain accommodates a trigonometric matrix polynomial. This trigonometric matrix polynomial is known as the symbol function. The existence and properties of a multiscaling function, which is the solution of a multiscaling equation, depend on the symbol function. It is possible to construct symbol functions corresponding to compactly supported and symmetric multiscaling functions from standard pairs. A standard pair carries the spectral information about the symbol function. In this paper, we briefly explain the construction of compactly supported and symmetric multiscaling functions and the corresponding mulitwavelets using standard pairs. We derive the necessary as well as sufficient condition, on the eigenspace of the square matrix in the standard pair, for the existence of a symbol function corresponding to a multiscaling equation with a compactly supported solution. We create a pseudo bi-orthogonal pair of symmetric and compactly supported multiscaling functions and the corresponding multiwavelets using standard pairs.
{"title":"Construction of symmetric multiwavelets using standard pairs","authors":"A. T. Mithun, M. C. Lineesh","doi":"10.1142/s0219691322500114","DOIUrl":"https://doi.org/10.1142/s0219691322500114","url":null,"abstract":"A multiscaling equation in the Fourier domain accommodates a trigonometric matrix polynomial. This trigonometric matrix polynomial is known as the symbol function. The existence and properties of a multiscaling function, which is the solution of a multiscaling equation, depend on the symbol function. It is possible to construct symbol functions corresponding to compactly supported and symmetric multiscaling functions from standard pairs. A standard pair carries the spectral information about the symbol function. In this paper, we briefly explain the construction of compactly supported and symmetric multiscaling functions and the corresponding mulitwavelets using standard pairs. We derive the necessary as well as sufficient condition, on the eigenspace of the square matrix in the standard pair, for the existence of a symbol function corresponding to a multiscaling equation with a compactly supported solution. We create a pseudo bi-orthogonal pair of symmetric and compactly supported multiscaling functions and the corresponding multiwavelets using standard pairs.","PeriodicalId":158567,"journal":{"name":"Int. J. Wavelets Multiresolution Inf. Process.","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116796834","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 : 2022-04-12DOI: 10.1142/s0219691322500023
Yiqiao Zhang, Qiuhui Chen
In this paper, a nonlinear modulation [Formula: see text] and a frequency-varying dilation [Formula: see text] both with Poisson kernel are introduced. Two classes of time-frequency atoms [Formula: see text] are designed from a basic atom [Formula: see text] in the Schwartz class [Formula: see text] acted upon by three operators: translation, nonlinear modulation and dilation. Two time-frequency transformations [Formula: see text] are constructed based on the above designed time-frequency atoms, where [Formula: see text] maps [Formula: see text] into [Formula: see text] with Lebesgue measure while [Formula: see text] maps [Formula: see text] into [Formula: see text] with Haar measure. The corresponding inversion formulae are established and the reproducing kernel Hilbert space property of the images of [Formula: see text] is proved. This strategy offers a unified understanding of dilation frequency and Fourier (modulation) frequency.
{"title":"Time-frequency transforms with Poisson kernel modulation","authors":"Yiqiao Zhang, Qiuhui Chen","doi":"10.1142/s0219691322500023","DOIUrl":"https://doi.org/10.1142/s0219691322500023","url":null,"abstract":"In this paper, a nonlinear modulation [Formula: see text] and a frequency-varying dilation [Formula: see text] both with Poisson kernel are introduced. Two classes of time-frequency atoms [Formula: see text] are designed from a basic atom [Formula: see text] in the Schwartz class [Formula: see text] acted upon by three operators: translation, nonlinear modulation and dilation. Two time-frequency transformations [Formula: see text] are constructed based on the above designed time-frequency atoms, where [Formula: see text] maps [Formula: see text] into [Formula: see text] with Lebesgue measure while [Formula: see text] maps [Formula: see text] into [Formula: see text] with Haar measure. The corresponding inversion formulae are established and the reproducing kernel Hilbert space property of the images of [Formula: see text] is proved. This strategy offers a unified understanding of dilation frequency and Fourier (modulation) frequency.","PeriodicalId":158567,"journal":{"name":"Int. J. Wavelets Multiresolution Inf. Process.","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132390675","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 : 2022-04-12DOI: 10.1142/s0219691322500102
Bing Jiang, Peixin Ye, Wenhui Zhang
In this paper, we obtain the unified error estimate for some weak biorthogonal greedy algorithms with respect to dictionaries in Banach spaces by using some kind of [Formula: see text]-functional. From this estimate, we derive the sufficient conditions for the convergence and the convergence rates on sparse classes induced by the [Formula: see text]-functional. The results on convergence and the convergence rates are sharp.
{"title":"Unified error estimate for weak biorthogonal Greedy algorithms","authors":"Bing Jiang, Peixin Ye, Wenhui Zhang","doi":"10.1142/s0219691322500102","DOIUrl":"https://doi.org/10.1142/s0219691322500102","url":null,"abstract":"In this paper, we obtain the unified error estimate for some weak biorthogonal greedy algorithms with respect to dictionaries in Banach spaces by using some kind of [Formula: see text]-functional. From this estimate, we derive the sufficient conditions for the convergence and the convergence rates on sparse classes induced by the [Formula: see text]-functional. The results on convergence and the convergence rates are sharp.","PeriodicalId":158567,"journal":{"name":"Int. J. Wavelets Multiresolution Inf. Process.","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127521027","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 : 2022-03-07DOI: 10.1142/s0219691322500047
T. Kumar, G. Suresh, Kalaiselvi Kaliannan
{"title":"Optimization-enabled deep convolutional network for the generation of normal speech from non-audible murmur based on multi-kernel-based features","authors":"T. Kumar, G. Suresh, Kalaiselvi Kaliannan","doi":"10.1142/s0219691322500047","DOIUrl":"https://doi.org/10.1142/s0219691322500047","url":null,"abstract":"","PeriodicalId":158567,"journal":{"name":"Int. J. Wavelets Multiresolution Inf. Process.","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114745762","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 : 2022-03-07DOI: 10.1142/s0219691322500011
Jay Singh Maurya, S. Upadhyay
{"title":"The Bessel wavelet transform of distributions in βμ′-space","authors":"Jay Singh Maurya, S. Upadhyay","doi":"10.1142/s0219691322500011","DOIUrl":"https://doi.org/10.1142/s0219691322500011","url":null,"abstract":"","PeriodicalId":158567,"journal":{"name":"Int. J. Wavelets Multiresolution Inf. Process.","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121062684","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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