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020 ▼a 9781085614276
035 ▼a (MiAaPQ)AAI13859794
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 310
1001 ▼a Bohannon, Addison W.
24510 ▼a Stochastic Processes on Graphs: Learning Representations and Applications.
260 ▼a [S.l.]: ▼b University of Maryland, College Park., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 157 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 81-02, Section: B.
500 ▼a Advisor: Balan, Radu V.
5021 ▼a Thesis (Ph.D.)--University of Maryland, College Park, 2019.
506 ▼a This item must not be sold to any third party vendors.
520 ▼a In this work, we are motivated by discriminating multivariate time-series with an underlying graph topology. Graph signal processing has developed various tools for the analysis of scalar signals on graphs. Here, we extend the existing techniques to design filters for multivariate time-series that have non-trivial spatiotemporal graph topologies. We show that such a filtering approach can discriminate signals that cannot otherwise be discriminated by competing approaches. Then, we consider how to identify spatiotemporal graph topology from signal observations. Specifically, we consider a generative model that yields a bilinear inverse problem with an observation-dependent left multiplication. We propose two algorithms for solving the inverse problem and provide probabilistic guarantees on recovery. We apply the technique to identify spatiotemporal graph components in electroencephalogram (EEG) recordings. The identified components are shown to discriminate between various cognitive task conditions in the data.
590 ▼a School code: 0117.
650 4 ▼a Applied mathematics.
650 4 ▼a Statistics.
690 ▼a 0364
690 ▼a 0463
71020 ▼a University of Maryland, College Park. ▼b Applied Mathematics and Scientific Computation.
7730 ▼t Dissertations Abstracts International ▼g 81-02B.
773 ▼t Dissertation Abstract International
790 ▼a 0117
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15490896 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1008102
991 ▼a E-BOOK