개인구독
소속 기관이 없으신 경우, 개인 정기구독을 하시면 저렴하게
논문을 무제한 열람 이용할 수 있어요.
지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.27 No.4
- 발행연도
- 2023.12
- 수록면
- 324 - 341 (18page)
이용수
초록· 키워드
오류제보하기
Topological data analysis (TDA) is a data analysis technique, recently developed, that investigates the overall shape of a given dataset. The mapper algorithm is a TDA method that considers the connectivity of the given data and converts the data into a mapper graph. Compared to persistent homology, another popular TDA tool, that mainly focuses on the homological structure of the given data, the mapper algorithm is more of a visualization method that represents the given data as a graph in a lower dimension. As it visualizes the overall data connectivity, it could be used as a prediction method that visualizes the new input points on the mapper graph. The existing mapper packages such as Giotto-TDA, Gudhi and Kepler Mapper provide the descriptive mapper algorithm, that is, the final output of those packages is mainly the mapper graph. In this paper, we develop a simple predictive algorithm. That is, the proposed algorithm identifies the node information within the established mapper graph associated with the new emerging data point. By checking the feature of the detected nodes, such as the anomality of the identified nodes, we can determine the feature of the new input data point. As an example, we employ the fraud credit card transaction data and provide an example that shows how the developed algorithm can be used as a node prediction method.
목차
ABSTRACT
1. INTRODUCTION
2. MAPPER ALGORITHM
3. PREDICTION ALGORITHM
4. EXPERIMENT
5. CONCLUSION
REFERENCES
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Ohm-Mapper 연속측정을 적용한 저수지 누수탐지 연구 사례
대한지질학회 학술대회
2019 .10
-
Organic relationship between laws based on judicial precedents using topological data analysis
한국수학논문집
2021 .12
-
위상수학적 데이터 분석법을 이용한 수학학습 불안 분석 사례
East Asian Mathematical Journal
2018 .01
-
Topological Data Analysis 기법을 활용한 호텔 리뷰데이터의 감성 키워드 기반 호텔 관계망 구축
응용통계연구
2020 .02
-
Graph Equations Involving Tensor Product of Graphs
Kyungpook Mathematical Journal
2017 .06
-
Spectra of F-sum graphs and F-product graphs
Proceedings of the Jangjeon Mathematical Society
2018 .01
-
Induced signed graphs of some classes of graphs
Proceedings of the Jangjeon Mathematical Society
2020 .01
-
METRIC DIMENSION AND ITS VARIATIONS OF CHAIN GRAPHS
Proceedings of the Jangjeon Mathematical Society
2021 .07
-
Total domination number of central graphs
대한수학회보
2019 .01
-
Some Properties of q-Distance Energy
Advanced Studies in Contemporary Mathematics
2020 .01
-
ON HARMONIOUS COLORINGS OF LEXICOGRAPHIC PRODUCT OF GRAPHS
Advanced Studies in Contemporary Mathematics
2021 .04
-
On co-well covered graphs
대한수학회논문집
2020 .01
-
New results on the F-index of graphs based on Corona-type products of graphs
Proceedings of the Jangjeon Mathematical Society
2020 .01
-
CHARACTERISTIC POLYNOMIALS OF SUBDIVISION GRAPHS
Advanced Studies in Contemporary Mathematics
2021 .01
-
General sum connectivity energy of graph
Proceedings of the Jangjeon Mathematical Society
2024 .07
-
The Wiener Polynomial for the Subdivision Graph of Certain Classes of Graphs
Advanced Studies in Contemporary Mathematics
2015 .01
-
기계학습 알고리즘을 이용한 PM1.0 예측 모델 개발 및 평가 연구
한국대기환경학회 학술대회논문집
2022 .10
-
On rings whose annihilating-ideal graphs are blow-ups of a class of Boolean graphs
대한수학회지
2017 .01
-
Omega Invariant of Union, Join and Corona Product of Two Graphs
Advanced Studies in Contemporary Mathematics
2020 .01
-
Cross-index of a Graph
Kyungpook Mathematical Journal
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0
UCI(KEPA) : I410-151-24-02-089243170