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Volumn 58, Issue , 2008, Pages 219-237

Beyond the concept of manifolds: principal trees, metro maps, and elastic cubic complexes

Author keywords

Data visualization; Elastic functional; Principal manifolds; principal trees; Topological grammars

Indexed keywords

BACTERIAL GENOMES; CDNA MICROARRAYS; COMPLEX CONSTRUCTION; COMPLEX DATA; COMPLEX TOPOLOGY; ELASTIC ENERGY; ELASTIC FUNCTIONAL; METRO MAPS; MULTIDIMENSIONAL DATA; NON-LINEAR; PRINCIPAL MANIFOLDS; PRINCIPAL TREES; TOPOLOGICAL GRAMMARS;

EID: 78651593347     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-73750-6_9     Document Type: Conference Paper
Times cited : (15)

References (32)
  • 2
    • 0000818999 scopus 로고
    • General nature of the genetic code for proteins
    • Crick, F.H.C., Barnett, L., Brenner, S., and Watts-Tobin, R.J.: General nature of the genetic code for proteins. Nature, 192, 1227-1232 (1961)
    • (1961) Nature , vol.192 , pp. 1227-1232
    • Crick, F.H.C.1    Barnett, L.2    Brenner, S.3    Watts-Tobin, R.J.4
  • 5
    • 0026436795 scopus 로고
    • Self-organizing maps: Ordering, convergence properties and energy functions
    • Erwin, E., Obermayer, K., and Schulten, K.: Self-organizing maps: ordering, convergence properties and energy functions. Biological Cybernetics 67, 47-55 (1992)
    • (1992) Biological Cybernetics , vol.67 , pp. 47-55
    • Erwin, E.1    Obermayer, K.2    Schulten, K.3
  • 6
    • 18844426538 scopus 로고    scopus 로고
    • Codon usage trajectories and 7-cluster structure of 143 complete bacterial genomic sequences
    • Gorban, A.N., Popova, T.G., and Zinovyev, A.Yu.: Codon usage trajectories and 7-cluster structure of 143 complete bacterial genomic sequences. Physica A: Statistical and Theoretical Physics, 353, 365-387 (2005)
    • (2005) Physica A: Statistical and Theoretical Physics , vol.353 , pp. 365-387
    • Gorban, A.N.1    Popova, T.G.2    Zinovyev, A.Y.3
  • 7
    • 23744452722 scopus 로고    scopus 로고
    • Four basic symmetry types in the universal 7-cluster structure of 143 complete bacterial genomic sequences
    • Gorban, A.N., Zinovyev, A.Yu., and Popova, T.G.: Four basic symmetry types in the universal 7-cluster structure of 143 complete bacterial genomic sequences. In Silico Biology 5, 0025 (2005)
    • (2005) In Silico Biology , vol.5 , pp. 0025
    • Gorban, A.N.1    Zinovyev, A.Y.2    Popova, T.G.3
  • 10
    • 78651533943 scopus 로고    scopus 로고
    • Gorban, A.N. and Zinovyev, A.Y.: Visualization of data by method of elastic maps and its applications in genomics, economics and sociology Preprint of Institut des Hautes Etudes Scientiques, M/01/36 (2001) http://www.ihes.fr/ PREPRINTS/M01/Resu/resu-M01-36.html
    • Gorban, A.N. and Zinovyev, A.Y.: Visualization of data by method of elastic maps and its applications in genomics, economics and sociology Preprint of Institut des Hautes Etudes Scientiques, M/01/36 (2001) http://www.ihes.fr/ PREPRINTS/M01/Resu/resu-M01-36.html
  • 11
    • 0141574573 scopus 로고    scopus 로고
    • Method of elastic maps and its applications in data visualization and data modeling
    • CHAOS
    • Gorban, A.N. and Zinovyev, A.Y.: Method of elastic maps and its applications in data visualization and data modeling. International Journal of Computing Anticipatory Systems, CHAOS, 12, 353-369 (2001)
    • (2001) International Journal of Computing Anticipatory Systems , vol.12 , pp. 353-369
    • Gorban, A.N.1    Zinovyev, A.Y.2
  • 14
    • 24644477028 scopus 로고    scopus 로고
    • Elastic Principal Graphs and Manifolds and their Practical Applications
    • Gorban, A. and Zinovyev, A.: Elastic Principal Graphs and Manifolds and their Practical Applications. Computing 75, 359-379 (2005)
    • (2005) Computing , vol.75 , pp. 359-379
    • Gorban, A.1    Zinovyev, A.2
  • 15
    • 78651539883 scopus 로고    scopus 로고
    • Gorban, A.N. and Zinovyev, A.Y, Elastic maps and nets for approximating principal manifolds and their application to microarray data visualization. In this book
    • Gorban, A.N. and Zinovyev, A.Y.: Elastic maps and nets for approximating principal manifolds and their application to microarray data visualization. In this book.
  • 16
    • 4344641854 scopus 로고    scopus 로고
    • Finite element mapping for spring network representations of the mechanics of solids
    • Gusev, A.: Finite element mapping for spring network representations of the mechanics of solids. Phys. Rev. Lett. 93 (2), 034302 (2004)
    • (2004) Phys. Rev. Lett , vol.93 , Issue.2 , pp. 034302
    • Gusev, A.1
  • 19
    • 0020068152 scopus 로고
    • Self-organized formation of topologically correct feature maps
    • Kohonen, T.: Self-organized formation of topologically correct feature maps. Biological Cybernetics 43, 59-69 (1982)
    • (1982) Biological Cybernetics , vol.43 , pp. 59-69
    • Kohonen, T.1
  • 20
    • 0242317346 scopus 로고    scopus 로고
    • Fundamentals of cDNA microarray data analysis
    • Leung, Y.F. and Cavalieri, D.: Fundamentals of cDNA microarray data analysis. Trends Genet. 19 (11), 649-659 (2003)
    • (2003) Trends Genet , vol.19 , Issue.11 , pp. 649-659
    • Leung, Y.F.1    Cavalieri, D.2
  • 21
    • 0027558267 scopus 로고
    • Algebraic approach to single-pushout graph transformation
    • Löwe, M.: Algebraic approach to single-pushout graph transformation. Theor. Comp. Sci. 109, 181-224 (1993)
    • (1993) Theor. Comp. Sci , vol.109 , pp. 181-224
    • Löwe, M.1
  • 22
    • 0027632248 scopus 로고
    • Neural-gas network for vector quantization and its application to time-series prediction
    • Martinetz, T.M., Berkovich, S.G., and Schulten K.J.: Neural-gas network for vector quantization and its application to time-series prediction. IEEE Transactions on Neural Networks, 4 4, 558-569 (1993)
    • (1993) IEEE Transactions on Neural Networks , vol.4 , Issue.4 , pp. 558-569
    • Martinetz, T.M.1    Berkovich, S.G.2    Schulten, K.J.3
  • 23
    • 78651531323 scopus 로고    scopus 로고
    • Matveev, S. and Polyak, M.: Cubic complexes and finite type invariants. In: Geometry & Topology Monographs, 4: Invariants of knots and 3-manifolds. Kyoto, 215-233 (2001)
    • Matveev, S. and Polyak, M.: Cubic complexes and finite type invariants. In: Geometry & Topology Monographs, Vol. 4: Invariants of knots and 3-manifolds. Kyoto, 215-233 (2001)
  • 24
    • 0029410705 scopus 로고
    • Self-organization as an iterative kernel smoothing process
    • Mulier, F. and Cherkassky, V.: Self-organization as an iterative kernel smoothing process. Neural Computation 7, 1165-1177 (1995)
    • (1995) Neural Computation , vol.7 , pp. 1165-1177
    • Mulier, F.1    Cherkassky, V.2
  • 25
    • 78651546254 scopus 로고    scopus 로고
    • Principal manifolds for data cartography and dimension reduction, Leicester, UK, August 2006. A web-page with test microarrays datasets provided for participants of the workshop: http://www.ihes.fr/ ̃zinovyev/princmanif2006
    • "Principal manifolds for data cartography and dimension reduction", Leicester, UK, August 2006. A web-page with test microarrays datasets provided for participants of the workshop: http://www.ihes.fr/ ̃zinovyev/princmanif2006
  • 26
    • 0000325341 scopus 로고
    • On lines and planes of closest fit to systems of points in space
    • Pearson, K.: On lines and planes of closest fit to systems of points in space. Philosophical Magazine, series 6 (2), 559-572 (1901)
    • (1901) Philosophical Magazine, series 6 , vol.2 , pp. 559-572
    • Pearson, K.1
  • 27
    • 26844498200 scopus 로고    scopus 로고
    • A DNA microarray survey of gene expression in normal human tissues
    • Shyamsundar, R., Kim, Y.H., Higgins, J.P. et al.: A DNA microarray survey of gene expression in normal human tissues. Genome Biology, 6, R22 (2005)
    • (2005) Genome Biology , vol.6
    • Shyamsundar, R.1    Kim, Y.H.2    Higgins, J.P.3
  • 28
    • 0016900245 scopus 로고
    • Formal languages of labelled graphs
    • Nagl, M.: Formal languages of labelled graphs: Computing, 16, 113-137 (1976)
    • (1976) Computing , vol.16 , pp. 113-137
    • Nagl, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.