강연 / 세미나
MINDS Seminar on Data ScienceㅣStability theorem of bigraded persistence barcodes
분야Field | |||
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날짜Date | 2023-05-02 ~ 2023-05-02 | 시간Time | 17:00 ~ 18:00 |
장소Place | 초청자Host | ||
연사Speaker | Jongbaek Song | 소속Affiliation | Pusan National University |
TOPIC | MINDS Seminar on Data ScienceㅣStability theorem of bigraded persistence barcodes | ||
소개 및 안내사항Content | Given a simplicial complex K, one can define a topological space Z(K) called the moment-angle complex associated with K. The cohomology ring of Z(K) is captured by the Tor-algebra of the face ring of K. In this talk, we introduce the bigraded persistent homology modules and the bigraded barcodes of a finite pseudo-metric space using the ordinary and double cohomology of Z(K). Then we discuss the stability theorem for the bigraded persistent homology modules and barcodes.
https://us06web.zoom.us/j/6888961076?pwd=ejYxN05jNmhUa25PU2JzSUJvQ1haQT09 ID : 688 896 1076 / PW : 54321 |
학회명Field | MINDS Seminar on Data ScienceㅣStability theorem of bigraded persistence barcodes | ||
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날짜Date | 2023-05-02 ~ 2023-05-02 | 시간Time | 17:00 ~ 18:00 |
장소Place | 초청자Host | ||
소개 및 안내사항Content | Given a simplicial complex K, one can define a topological space Z(K) called the moment-angle complex associated with K. The cohomology ring of Z(K) is captured by the Tor-algebra of the face ring of K. In this talk, we introduce the bigraded persistent homology modules and the bigraded barcodes of a finite pseudo-metric space using the ordinary and double cohomology of Z(K). Then we discuss the stability theorem for the bigraded persistent homology modules and barcodes.
https://us06web.zoom.us/j/6888961076?pwd=ejYxN05jNmhUa25PU2JzSUJvQ1haQT09 ID : 688 896 1076 / PW : 54321 |
성명Field | MINDS Seminar on Data ScienceㅣStability theorem of bigraded persistence barcodes | ||
---|---|---|---|
날짜Date | 2023-05-02 ~ 2023-05-02 | 시간Time | 17:00 ~ 18:00 |
소속Affiliation | Pusan National University | 초청자Host | |
소개 및 안내사항Content | Given a simplicial complex K, one can define a topological space Z(K) called the moment-angle complex associated with K. The cohomology ring of Z(K) is captured by the Tor-algebra of the face ring of K. In this talk, we introduce the bigraded persistent homology modules and the bigraded barcodes of a finite pseudo-metric space using the ordinary and double cohomology of Z(K). Then we discuss the stability theorem for the bigraded persistent homology modules and barcodes.
https://us06web.zoom.us/j/6888961076?pwd=ejYxN05jNmhUa25PU2JzSUJvQ1haQT09 ID : 688 896 1076 / PW : 54321 |
성명Field | MINDS Seminar on Data ScienceㅣStability theorem of bigraded persistence barcodes | ||
---|---|---|---|
날짜Date | 2023-05-02 ~ 2023-05-02 | 시간Time | 17:00 ~ 18:00 |
호실Host | 인원수Affiliation | Jongbaek Song | |
사용목적Affiliation | 신청방식Host | Pusan National University | |
소개 및 안내사항Content | Given a simplicial complex K, one can define a topological space Z(K) called the moment-angle complex associated with K. The cohomology ring of Z(K) is captured by the Tor-algebra of the face ring of K. In this talk, we introduce the bigraded persistent homology modules and the bigraded barcodes of a finite pseudo-metric space using the ordinary and double cohomology of Z(K). Then we discuss the stability theorem for the bigraded persistent homology modules and barcodes.
https://us06web.zoom.us/j/6888961076?pwd=ejYxN05jNmhUa25PU2JzSUJvQ1haQT09 ID : 688 896 1076 / PW : 54321 |