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Volumn , Issue , 2012, Pages 1355-1370

Local homology transfer and stratification learning

Author keywords

[No Author keywords available]

Indexed keywords

CLUSTERING METHODS; EUCLIDEAN SPACES; EXPLICIT ALGORITHMS; NUMBER OF SAMPLES; PERSISTENT HOMOLOGY; PROBABILISTIC GUARANTEES; STRATIFIED SPACES; TOPOLOGICAL CONDITIONS;

EID: 84860142692     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1137/1.9781611973099.107     Document Type: Conference Paper
Times cited : (59)

References (34)
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    • Princeton, NJ, USA, Princeton University Press
    • J. Cheeger. A lower bound for the smallest eigenvalue of the Laplacian. In Problems in Analysis, pages 195-199, Princeton, NJ, USA, 1970. Princeton University Press.
    • (1970) Problems in Analysis , pp. 195-199
    • Cheeger, J.1
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    • A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory
    • M. Fiedler. A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory. Czechoslovak Mathematical Journal, 25:619-633, 1975.
    • (1975) Czechoslovak Mathematical Journal , vol.25 , pp. 619-633
    • Fiedler, M.1
  • 22
    • 28144453646 scopus 로고
    • Intersection cohomology of cs-spaces and Zeeman's filtration
    • N. Habegger and L. Saper. Intersection cohomology of cs-spaces and Zeeman's filtration. Inventions Mathematicae, 105:247-272, 1991.
    • (1991) Inventions Mathematicae , vol.105 , pp. 247-272
    • Habegger, N.1    Saper, L.2
  • 23
    • 58149529171 scopus 로고    scopus 로고
    • Stratification learning: Detecting mixed density and dimensionality in high dimensional point clouds
    • G. Haro, G. Randall, and G. Sapiro. Stratification learning: Detecting mixed density and dimensionality in high dimensional point clouds. Advances in Neural Information Processing Systems, 17, 2005.
    • (2005) Advances in Neural Information Processing Systems , pp. 17
    • Haro, G.1    Randall, G.2    Sapiro, G.3
  • 30
    • 40349102105 scopus 로고    scopus 로고
    • Finding the homology of submanifolds with high confidence from random samples
    • P. Niyogi, S. Smale, and S. Weinberger. Finding the homology of submanifolds with high confidence from random samples. Discrete Computational Geometry, 39:419-441, 2008.
    • (2008) Discrete Computational Geometry , vol.39 , pp. 419-441
    • Niyogi, P.1    Smale, S.2    Weinberger, S.3
  • 33
    • 0004082567 scopus 로고
    • The topological classification of stratified spaces
    • chapter University of Chicago Press, Chicago, IL
    • S. Weinberger. Chicago Lectures in Mathematics, chapter The topological classification of stratified spaces. University of Chicago Press, Chicago, IL, 1994.
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  • 34
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    • Computing persistent homology
    • DOI 10.1007/s00454-004-1146-y
    • A. Zomorodian and G. Carlsson. Computing persistent homology. Discrete and Computational Geometry, 33:249-274, 2005. (Pubitemid 40176437)
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.