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Volumn 110, Issue 45, 2013, Pages 18052-18057

Spectral multidimensional scaling

Author keywords

Big data; Diffusion geometry; Distance maps; Flat embedding

Indexed keywords

ACCURACY; ARTICLE; COST; DATA ANALYSIS; DATA PROCESSING; EMBEDDING; MEMORY; MODEL; MULTIDIMENSIONAL SCALING; OPERATOR; PRIORITY JOURNAL;

EID: 84887295087     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1308708110     Document Type: Article
Times cited : (78)

References (36)
  • 1
    • 0024737443 scopus 로고
    • A numerical solution to the generalized mapmaker's problem: Flattening nonconvex polyhedral surfaces
    • Schwartz EL, Shaw A, Wolfson E (1989) A numerical solution to the generalized mapmaker's problem: Flattening nonconvex polyhedral surfaces. IEEE Trans PAMI 11(9):1005-1008.
    • (1989) IEEE Trans PAMI , vol.11 , Issue.9 , pp. 1005-1008
    • Schwartz, E.L.1    Shaw, A.2    Wolfson, E.3
  • 2
    • 0030066206 scopus 로고    scopus 로고
    • Computerized mappings of the cerebral cortex: A multiresolution flattening method and a surface-based coordinate system
    • Drury HA, et al. (1996) Computerized mappings of the cerebral cortex: A multiresolution flattening method and a surface-based coordinate system. J Cogn Neurosci 8(1):1-28.
    • (1996) J Cogn Neurosci , vol.8 , Issue.1 , pp. 1-28
    • Drury, H.A.1
  • 3
    • 0032769093 scopus 로고    scopus 로고
    • Cortical surface-based analysis I Segmentation and surface reconstruction
    • Dale AM, Fischl B, Sereno MI (1999) Cortical surface-based analysis. I. Segmentation and surface reconstruction. Neuroimage 9(2):179-194.
    • (1999) Neuroimage , vol.9 , Issue.2 , pp. 179-194
    • Dale, A.M.1    Fischl, B.2    Sereno, M.I.3
  • 4
    • 0036529770 scopus 로고    scopus 로고
    • Texture mapping using surface flattening via multidimensional scaling
    • Zigelman G, Kimmel R, Kiryati N (2002) Texture mapping using surface flattening via multidimensional scaling. IEEE Trans Vis Comp Graph 8(2):198-207.
    • (2002) IEEE Trans Vis Comp Graph , vol.8 , Issue.2 , pp. 198-207
    • Zigelman, G.1    Kimmel, R.2    Kiryati, N.3
  • 5
    • 0036537997 scopus 로고    scopus 로고
    • Computational surface flattening: A voxelbased approach
    • Grossmann R, Kiryati N, Kimmel R (2002) Computational surface flattening: A voxelbased approach. IEEE Trans PAMI 24(4):433-441.
    • (2002) IEEE Trans PAMI , vol.24 , Issue.4 , pp. 433-441
    • Grossmann, R.1    Kiryati, N.2    Kimmel, R.3
  • 6
    • 0142103254 scopus 로고    scopus 로고
    • On bending invariant signatures for surfaces
    • Elad A, Kimmel R (2003) On bending invariant signatures for surfaces. IEEE Trans PAMI 25(10):1285-1295.
    • (2003) IEEE Trans PAMI , vol.25 , Issue.10 , pp. 1285-1295
    • Elad, A.1    Kimmel, R.2
  • 7
    • 0034850769 scopus 로고    scopus 로고
    • Template matching approach to content based image indexing by low dimensional euclidean embedding, computer vision 2001
    • IEEE, New York
    • Schweitzer H (2001) Template matching approach to content based image indexing by low dimensional Euclidean embedding. Computer Vision 2001. ICCV 2001: Proceedings of the Eighth International Conference on Computer Vision (IEEE, New York), pp 566-571.
    • (2001) ICCV 2001: Proceedings of the Eighth International Conference on Computer Vision , pp. 566-571
    • Schweitzer, H.1
  • 9
    • 33646697511 scopus 로고    scopus 로고
    • Representation analysis and synthesis of lip images using dimensionality reduction
    • Aharon M, Kimmel R (2006) Representation analysis and synthesis of lip images using dimensionality reduction. Int J Comput Vis 67(3):297-312.
    • (2006) Int J Comput Vis , vol.67 , Issue.3 , pp. 297-312
    • Aharon, M.1    Kimmel, R.2
  • 12
    • 79955913582 scopus 로고    scopus 로고
    • Modern multidimensional scaling: Theory and applications
    • Borg I, Groenen P (1997) Modern multidimensional scaling: Theory and applications. J Educ Meas 40(3):277-280.
    • (1997) J Educ Meas , vol.40 , Issue.3 , pp. 277-280
    • Borg, I.1    Groenen, P.2
  • 13
    • 0034704229 scopus 로고    scopus 로고
    • A global geometric framework for nonlinear dimensionality reduction
    • Tenenbaum JB, de Silva V, Langford JC (2000) A global geometric framework for nonlinear dimensionality reduction. Science 290(5500):2319-2323.
    • (2000) Science , vol.290 , Issue.5500 , pp. 2319-2323
    • Tenenbaum, J.B.1    De Silva, V.2    Langford, J.C.3
  • 14
    • 0032555230 scopus 로고    scopus 로고
    • Computing geodesic paths on manifolds
    • Kimmel R, Sethian JA (1998) Computing geodesic paths on manifolds. Proc Natl Acad Sci USA 95(15):8431-8435.
    • (1998) Proc Natl Acad Sci USA , vol.95 , Issue.15 , pp. 8431-8435
    • Kimmel, R.1    Sethian, J.A.2
  • 15
    • 0034704222 scopus 로고    scopus 로고
    • Nonlinear dimensionality reduction by locally linear embedding
    • Roweis ST, Saul LK (2000) Nonlinear dimensionality reduction by locally linear embedding. Science 290(5500):2323-2326.
    • (2000) Science , vol.290 , Issue.5500 , pp. 2323-2326
    • Roweis, S.T.1    Saul, L.K.2
  • 16
    • 0037948870 scopus 로고    scopus 로고
    • Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data
    • Donoho DL, Grimes C (2003) Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data. Proc Natl Acad Sci USA 100(10):5591-5596.
    • (2003) Proc Natl Acad Sci USA , vol.100 , Issue.10 , pp. 5591-5596
    • Donoho, D.L.1    Grimes, C.2
  • 17
    • 0043278893 scopus 로고    scopus 로고
    • Laplacian eigenmaps and spectral techniques for embedding and clustering
    • MIT Press, Cambridge, MA
    • Belkin M, Niyogi P (2001) Laplacian eigenmaps and spectral techniques for embedding and clustering. Advances in Neural Information Processing Systems (MIT Press, Cambridge, MA), pp 585-591.
    • (2001) Advances in Neural Information Processing Systems , pp. 585-591
    • Belkin, M.1    Niyogi, P.2
  • 19
    • 19644394100 scopus 로고    scopus 로고
    • Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
    • Coifman RR, et al. (2005)Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps. Proc Natl Acad Sci USA 102(21):7426-7431.
    • (2005) Proc Natl Acad Sci USA , vol.102 , Issue.21 , pp. 7426-7431
    • Coifman, R.R.1
  • 20
    • 84899009769 scopus 로고    scopus 로고
    • Global versus local methods in nonlinear dimensionality reduction
    • MIT Press, Cambridge, MA
    • de Silva V, Tenenbaum JB (2003) Global versus local methods in nonlinear dimensionality reduction. Advances in Neural Information Processing Systems (MIT Press, Cambridge, MA), pp 705-712.
    • (2003) Advances in Neural Information Processing Systems , pp. 705-712
    • De Silva, V.1    Tenenbaum, J.B.2
  • 21
    • 4344635655 scopus 로고    scopus 로고
    • Out-of-sample extensions for lle, isomap, mds, eigenmaps, and spectral clustering
    • MIT Press, Cambridge, MA
    • Bengio Y, Paiement JF, Vincent P (2003) Out-of-sample extensions for LLE, Isomap, MDS, eigenmaps, and spectral clustering. Advances in Neural Information Processing Systems (MIT Press, Cambridge, MA), pp 177-184.
    • (2003) Advances in Neural Information Processing Systems , pp. 177-184
    • Bengio, Y.1    Paiement, J.F.2    Vincent, P.3
  • 22
    • 84867964613 scopus 로고    scopus 로고
    • A, linear-space algorithm for distance preserving graph embedding
    • Asano T, et al. (2009) A linear-space algorithm for distance preserving graph embedding. Comput Geom Theory Appl 42(4):289-304.
    • (2009) Comput Geom Theory Appl , vol.42 , Issue.4 , pp. 289-304
    • Asano, T.1
  • 25
    • 77951298811 scopus 로고    scopus 로고
    • Nonlinear dimensionality reduction by topologically constrained isometric embedding
    • Rosman G, Bronstein MM, Bronstein AM, Kimmel R (2010) Nonlinear dimensionality reduction by topologically constrained isometric embedding. Int J Comput Vis 89(1):56-68.
    • (2010) Int J Comput Vis , vol.89 , Issue.1 , pp. 56-68
    • Rosman, G.1    Bronstein, M.M.2    Bronstein, A.M.3    Kimmel, R.4
  • 26
    • 83155164589 scopus 로고    scopus 로고
    • Interpolated eigenfunctions for volumetric shape processing
    • Rustamov RM (2011) Interpolated eigenfunctions for volumetric shape processing. Vis Comput 27(11):951-961.
    • (2011) Vis Comput , vol.27 , Issue.11 , pp. 951-961
    • Rustamov, R.M.1
  • 28
    • 84898939890 scopus 로고    scopus 로고
    • On a connection between kernel pca and metric multidimensional scaling
    • MIT Press, Cambridge, MA
    • Williams CKI (2001) On a connection between kernel PCA and metric multidimensional scaling. Advances in Neural Information Processing Systems (MIT Press, Cambridge, MA), pp 675-681.
    • (2001) Advances in Neural Information Processing Systems , pp. 675-681
    • Williams, C.K.I.1
  • 29
    • 0001199139 scopus 로고
    • Embedding riemannian manifolds by their heat kernel
    • Bérard P, Besson G, Gallot S (1994) Embedding Riemannian manifolds by their heat kernel. Geom Funct Anal 4(4):373-398.
    • (1994) Geom Funct Anal , vol.4 , Issue.4 , pp. 373-398
    • Bérard, P.1    Besson, G.2    Gallot, S.3
  • 30
    • 70049104712 scopus 로고    scopus 로고
    • A concise and provably informative multi-scale signature based on heat diffusion
    • Sun J, Ovsjanikov M, Guibas L (2009) A concise and provably informative multi-scale signature based on heat diffusion. Comp Graph Forum 28(5):1383-1392.
    • (2009) Comp Graph Forum , vol.28 , Issue.5 , pp. 1383-1392
    • Sun, J.1    Ovsjanikov, M.2    Guibas, L.3
  • 32
    • 53249149321 scopus 로고
    • Ramifications, old and new, of the eigenvalue problem
    • Weyl H (1950) Ramifications, old and new, of the eigenvalue problem. Bull Am Math Soc 56(2):115-139.
    • (1950) Bull Am Math Soc , vol.56 , Issue.2 , pp. 115-139
    • Weyl, H.1
  • 33
    • 84950826016 scopus 로고
    • Computing discrete minimal surfaces and their conjugates
    • Pinkall U, Polthier K (1993) Computing discrete minimal surfaces and their conjugates. Exper Math 2(1):15-36.
    • (1993) Exper Math , vol.2 , Issue.1 , pp. 15-36
    • Pinkall, U.1    Polthier, K.2
  • 36
    • 0032203257 scopus 로고    scopus 로고
    • Gradient-based learning applied to document recognition
    • LeCun Y, Bottou L, Bengio Y, Haffner P (1998) Gradient-based learning applied to document recognition. Proc IEEE 86(11):2278-2324.
    • (1998) Proc IEEE , vol.86 , Issue.11 , pp. 2278-2324
    • Lecun, Y.1    Bottou, L.2    Bengio, Y.3    Haffner, P.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.