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Random Topological Structures
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| 자료유형 | E-Book |
|---|---|
| 개인저자 | Chai, Wei. |
| 단체저자명 | The University of Chicago. Mathematics. |
| 서명/저자사항 | Random Topological Structures. |
| 발행사항 | [S.l.] : The University of Chicago., 2018 |
| 발행사항 | Ann Arbor : ProQuest Dissertations & Theses, 2018 |
| 형태사항 | 105 p. |
| 소장본 주기 | School code: 0330. |
| ISBN | 9780438371040 |
| 일반주기 |
Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
Adviser: Shmuel Weinberger. |
| 요약 | Data science is a recent focus across many fields such as mathematics, statistics and computer sciences aiming at discovering and understand patterns from data. Topological data analysis (TDA) is a solution to discover the underlying topological |
| 요약 | The first part of this thesis is on the random coverage. We estimate the number of data points to cover an underlying manifold with possibly boundaries or singularities and with possibly non-uniform probability distribution. In general, the expe |
| 요약 | The second part is about the thresholds of correct Cech homology on a flat torus Td. The thresholds are estimated by the critical points of distance function and Morse theory. This thesis examines a special type of critical points and makes an i |
| 요약 | The last part proposes a method to detect topological periodicity in a time series. Topological periodicity allows distortion of the function's domain. The proposed method is about encoding the topological information of a function by a tree. Co |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 기본자료 저록 | Dissertation Abstracts International80-01B(E). Dissertation Abstract International |
| 대출바로가기 | http://www.riss.kr/pdu/ddodLink.do?id=T14999771 |
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| No. | 등록번호 | 청구기호 | 소장처 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
|---|---|---|---|---|---|---|---|---|
| 1 | WE00025617 | DP 510 | 가야대학교/전자책서버(컴퓨터서버)/ | 대출불가(별치) |
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