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020 ▼a 9780438153776
035 ▼a (MiAaPQ)AAI10787270
035 ▼a (MiAaPQ)umd:18856
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 510
1001 ▼a Li, Weilin. ▼0 (orcid)0000-0003-0345-4713.
24510 ▼a Topics in Harmonic Analysis, Sparse Representations, and Data Analysis.
260 ▼a [S.l.]: ▼b University of Maryland, College Park., ▼c 2018.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2018.
300 ▼a 170 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
500 ▼a Advisers: John J. Benedetto
5021 ▼a Thesis (Ph.D.)--University of Maryland, College Park, 2018.
520 ▼a Classical harmonic analysis has traditionally focused on linear and invertible transformations. Motivated by modern applications, there is a growing interest in non-linear analysis and synthesis operators. This thesis encompasses applications of
520 ▼a The first focus of this thesis deals with scattering transforms, which are particular realizations of convolutional neural networks. While the latter uses trained convolution kernels, scattering transforms use fixed ones, and this simplification
520 ▼a The second focus of this thesis pertains to the mathematical foundations of super-resolution, which is concerned with the recovery of fine details from low-resolution observations. This imaging model can be mathematically formulated as an ill-po
590 ▼a School code: 0117.
650 4 ▼a Mathematics.
650 4 ▼a Applied mathematics.
690 ▼a 0405
690 ▼a 0364
71020 ▼a University of Maryland, College Park. ▼b Mathematics.
7730 ▼t Dissertation Abstracts International ▼g 79-12B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0117
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14997386 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 201812 ▼f 2019
990 ▼a ***1012033