메뉴 건너뛰기




Volumn 35, Issue 5, 2013, Pages 1274-1280

Schroedinger eigenmaps for the analysis of biomedical data

Author keywords

barrier potential; dimension reduction; Laplacian Eigenmaps; manifold learning; Schroedinger Eigenmaps; Schroedinger operator on a graph

Indexed keywords

BARRIER POTENTIAL; DIMENSION REDUCTION; LAPLACIAN EIGENMAPS; MANIFOLD LEARNING; SCHROEDINGER EIGENMAPS; SCHROEDINGER OPERATOR ON A GRAPH;

EID: 84875418338     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2012.270     Document Type: Article
Times cited : (60)

References (49)
  • 4
    • 0042378381 scopus 로고    scopus 로고
    • Laplacian eigenmaps for dimensionality reduction and data representation
    • DOI 10.1162/089976603321780317
    • M. Belkin and P. Niyogi, "Laplacian Eigenmaps for Dimensionality Reduction and Data Representation," Neural Computation, vol. 15, no. 6, pp. 1373-1396, 2003. (Pubitemid 37049796)
    • (2003) Neural Computation , vol.15 , Issue.6 , pp. 1373-1396
    • Belkin, M.1    Niyogi, P.2
  • 5
    • 3142725535 scopus 로고    scopus 로고
    • Semi-supervised learning on riemannian manifolds
    • M. Belkin and P. Niyogi, "Semi-Supervised Learning on Riemannian Manifolds," Machine Learning, vol. 56, pp. 209-239, 2004.
    • (2004) Machine Learning , vol.56 , pp. 209-239
    • Belkin, M.1    Niyogi, P.2
  • 6
    • 55449104028 scopus 로고    scopus 로고
    • Towards a theoretical foundation for laplacian-based manifold methods
    • M. Belkin and P. Niyogi, "Towards a Theoretical Foundation for Laplacian-Based Manifold Methods," J. Computer and System Sciences, vol. 74, no. 8, pp. 1289-1308, 2008.
    • (2008) J. Computer and System Sciences , vol.74 , Issue.8 , pp. 1289-1308
    • Belkin, M.1    Niyogi, P.2
  • 7
    • 33750729556 scopus 로고    scopus 로고
    • Manifold regularization: A geometric framework for learning from labeled and unlabeled examples
    • M. Belkin, P. Niyogi, and V. Sindhwani, "Manifold Regularization: A Geometric Framework for Learning from Labeled and Unlabeled Examples," J. Machine Learning Research, vol. 7, pp. 2399-2434, Nov. 2006. (Pubitemid 44708005)
    • (2006) Journal of Machine Learning Research , vol.7 , pp. 2399-2434
    • Belkin, M.1    Niyogi, P.2    Sindhwani, V.3
  • 9
    • 0028934221 scopus 로고
    • An international classification and grading system for age-related maculopathy and age-related macular degeneration. The international ARM epidemiological study group
    • Mar Apr
    • A.C. Bird et al., "An International Classification and Grading System for Age-Related Maculopathy and Age-Related Macular Degeneration. The International ARM Epidemiological Study Group," Survey of Ophthalmology, vol. 39, no. 5, pp. 367-374, Mar.-Apr. 1995.
    • (1995) Survey of Ophthalmology , vol.39 , Issue.5 , pp. 367-374
    • Bird, A.C.1
  • 10
    • 0030726659 scopus 로고    scopus 로고
    • Laser capture microdissection: Molecular analysis of tissue
    • R.F. Bonner et al., "Laser Capture Microdissection: Molecular Analysis of Tissue," Science, vol. 21, no. 278, pp. 1481-1483, 1997.
    • (1997) Science , vol.21 , Issue.278 , pp. 1481-1483
    • Bonner, R.F.1
  • 12
    • 60849094464 scopus 로고    scopus 로고
    • Expression profiling during ocular development identifies 2 nlz genes with a critical role in optic fissure closure
    • Feb
    • J.D. Brown et al., "Expression Profiling during Ocular Development Identifies 2 Nlz Genes with a Critical Role in Optic Fissure Closure," Proc. Nat'l Academy of Sciences USA, vol. 106, no. 5, pp. 1462-1467, Feb. 2009.
    • (2009) Proc. Nat'l Academy of Sciences USA , vol.106 , Issue.5 , pp. 1462-1467
    • Brown, J.D.1
  • 13
    • 58849097042 scopus 로고    scopus 로고
    • Risk of advanced age-related macular degeneration after cataract surgery in the age-related eye disease study: Areds report 25
    • Feb
    • E.Y. Chew et al., "Risk of Advanced Age-Related Macular Degeneration after Cataract Surgery in the Age-Related Eye Disease Study: Areds Report 25," Ophthalmology, vol. 116, no. 2, pp. 297-303, Feb. 2009.
    • (2009) Ophthalmology , vol.116 , Issue.2 , pp. 297-303
    • Chew, E.Y.1
  • 14
    • 73349142716 scopus 로고    scopus 로고
    • Summary results and recommendations from the age-related eye disease study
    • and Age-Related Eye Disease Study Research Group Dec
    • E.Y. Chew, A.S. Lindblad, T. Clemons, andAge-Related Eye Disease Study Research Group, "Summary Results and Recommendations from the Age-Related Eye Disease Study," Archives of Ophthalmology, vol. 127, no. 12, pp. 1678-9, Dec. 2009.
    • (2009) Archives of Ophthalmology , vol.127 , Issue.12 , pp. 1678-1679
    • Chew, E.Y.1    Lindblad, A.S.2    Clemons, T.3
  • 16
    • 33745398604 scopus 로고    scopus 로고
    • Geometric harmonics: A novel tool for multiscale out-of-sample extension of empirical functions
    • DOI 10.1016/j.acha.2005.07.005, PII S1063520306000522
    • R.R. Coifman and S. Lafon, "Geometric Harmonics: A Novel Tool for Multiscale Out-of-Sample Extension of Empirical Functions," Applied and Computational Harmonic Analysis, vol. 21, no. 1, pp. 31-52, 2006. (Pubitemid 43947617)
    • (2006) Applied and Computational Harmonic Analysis , vol.21 , Issue.1 , pp. 31-52
    • Coifman, R.R.1    Lafon, S.2
  • 18
  • 19
    • 56249140828 scopus 로고    scopus 로고
    • Age-related macular degeneration
    • Nov
    • H.R. Coleman, C. Chan, F.L. Ferris, and E.Y. Chew, "Age-Related Macular Degeneration," Lancet, vol. 372, no. 9652, pp. 1835-1845, Nov. 2008.
    • (2008) Lancet , vol.372 , Issue.9652 , pp. 1835-1845
    • Coleman, H.R.1    Chan, C.2    Ferris, F.L.3    Chew, E.Y.4
  • 24
    • 79955778381 scopus 로고    scopus 로고
    • Modeling photo-bleaching kinetics to map local variations in rod rhodopsin density
    • M. Ehler et al., "Modeling Photo-Bleaching Kinetics to Map Local Variations in Rod Rhodopsin Density," SPIE Medical Imaging, Computer-Aided Diagnosis, vol. 7963, 2011.
    • (2011) SPIE Medical Imaging, Computer-Aided Diagnosis , pp. 7963
    • Ehler, M.1
  • 26
    • 81355144460 scopus 로고    scopus 로고
    • Nonlinear gene cluster analysis with labeling for microarray gene expression data in organ development
    • M. Ehler, V.N. Rajapakse, B. Zeeberg, B. Brooks, J. Brown, W. Czaja, and R.F. Bonner, "Nonlinear Gene Cluster Analysis with Labeling for Microarray Gene Expression Data in Organ Development," BMC Proc., vol. 5, no. suppl 2, p. S3, 2011.
    • (2011) BMC Proc , vol.5 , Issue.SUPPL. 2
    • Ehler, M.1    Rajapakse, V.N.2    Zeeberg, B.3    Brooks, B.4    Brown, J.5    Czaja, W.6    Bonner, R.F.7
  • 27
    • 35648972713 scopus 로고    scopus 로고
    • The prediction of breast cancer biopsy outcomes using two CAD approaches that both emphasize an intelligible decision process
    • DOI 10.1118/1.2786864
    • M. Elter, R. Schulz-Wendtland, and T. Wittenberg, "The Prediction of Breast Cancer Biopsy Outcomes Using Two CAD Approaches That Both Emphasize an Intelligible Decision Process," Medical Physics, vol. 34, no. 11, pp. 4164-4172, 2007. (Pubitemid 350029638)
    • (2007) Medical Physics , vol.34 , Issue.11 , pp. 4164-4172
    • Elter, M.1    Schulz-Wendtland, R.2    Wittenberg, T.3
  • 28
    • 34547991612 scopus 로고    scopus 로고
    • Robust non-linear dimensionality reduction using successive 1-dimensional laplacian eigenmaps
    • S. Gerber, T. Tasdizen, and R. Whitaker, "Robust Non-Linear Dimensionality Reduction Using Successive 1-Dimensional Laplacian Eigenmaps," Proc. 24th Int'l Conf. Machine Learning, 281-288, 2007.
    • (2007) Proc. 24th Int'l Conf. Machine Learning , pp. 281-288
    • Gerber, S.1    Tasdizen, T.2    Whitaker, R.3
  • 30
  • 31
    • 0034832029 scopus 로고    scopus 로고
    • An integrated hypothesis that considers drusen as biomarkers of immune-mediated processes at the RPE-Bruch's membrane interface in aging and age-related macular degeneration
    • DOI 10.1016/S1350-9462(01)00010-6, PII S1350946201000106
    • G.S. Hageman et al., "An Integrated Hypothesis That Considers Drusen as Biomarkers of Immune-Mediated Processes at the RPE-Bruch's Membrane Interface in Aging and Age-Related Macular Degeneration," Progress in Retina and Eye Research, vol. 20, no. 6, pp. 705-732, 2001. (Pubitemid 32918285)
    • (2001) Progress in Retinal and Eye Research , vol.20 , Issue.6 , pp. 705-732
    • Hageman, G.S.1    Luthert, P.J.2    Victor Chong, N.H.3    Johnson, L.V.4    Anderson, D.H.5    Mullins, R.F.6
  • 34
    • 79952199054 scopus 로고    scopus 로고
    • Principal component model of multi spectral data for near real-time skin chromophore mapping
    • J. Kainerstorfer et al., "Principal Component Model of Multi Spectral Data for Near Real-Time Skin Chromophore Mapping," J. Biomedical Optics, vol. 15, p. 046007, 2010.
    • (2010) J. Biomedical Optics , vol.15 , pp. 046007
    • Kainerstorfer, J.1
  • 36
    • 17244364817 scopus 로고    scopus 로고
    • A model of spectral filtering to reduce photochemical damage in age-related macular degeneration
    • S.M. Meyers, M.A. Ostrovsky, and R.F. Bonner, "A Model of Spectral Filtering to Reduce Photochemical Damage in Age-Related Macular Degeneration," Trans. Am. Ophthalmology Soc., vol. 102, pp. 83-93, 2004.
    • (2004) Trans. Am. Ophthalmology Soc , vol.102 , pp. 83-93
    • Meyers, S.M.1    Ostrovsky, M.A.2    Bonner, R.F.3
  • 37
    • 0034704222 scopus 로고    scopus 로고
    • Nonlinear dimensionality reduction by locally linear embedding
    • DOI 10.1126/science.290.5500.2323
    • S.T. Roweis and L.K. Saul, "Nonlinear Dimensionality Reduction by Locally Linear Embedding," Science, vol. 290, no. 5500, pp. 2323-2326, 2000. (Pubitemid 32041578)
    • (2000) Science , vol.290 , Issue.5500 , pp. 2323-2326
    • Roweis, S.T.1    Saul, L.K.2
  • 38
    • 0035706899 scopus 로고    scopus 로고
    • A new approach of geodesic reconstruction for drusen segmentation in eye fundus images
    • DOI 10.1109/42.974927, PII S0278006201111419
    • Z.B. Sbeh and L.D. Cohen, "A New Approach of Geodesic Reconstruction for Drusen Segmentation in Eye Fundus Images," IEEE Trans. Medical Imaging, vol. 20, no. 12, pp. 1321-1333, Dec. 2001. (Pubitemid 34125141)
    • (2001) IEEE Transactions on Medical Imaging , vol.20 , Issue.12 , pp. 1321-1333
    • Sbeh, Z.B.1    Cohen, L.D.2    Mimoun, G.3    Coscas, G.4
  • 40
    • 50249135567 scopus 로고    scopus 로고
    • Model-driven segmentation of articulating humans in laplacian eigenspace
    • Oct
    • A. Sundaresan and R. Chellappa, "Model-Driven Segmentation of Articulating Humans in Laplacian Eigenspace," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 30, no. 10, pp. 1771-1785, Oct. 2008.
    • (2008) IEEE Trans. Pattern Analysis and Machine Intelligence , vol.30 , Issue.10 , pp. 1771-1785
    • Sundaresan, A.1    Chellappa, R.2
  • 41
    • 50949129496 scopus 로고    scopus 로고
    • Regularization on graphs with function-adapted diffusion processes
    • A.D. Szlam, M. Maggioni, and R.R. Coifman, "Regularization on Graphs with Function-Adapted Diffusion Processes," J. Machine Learning Research, vol. 9, pp. 1711-1739, 2008.
    • (2008) J. Machine Learning Research , vol.9 , pp. 1711-1739
    • Szlam, A.D.1    Maggioni, M.2    Coifman, R.R.3
  • 42
    • 0034704229 scopus 로고    scopus 로고
    • A global geometric framework for nonlinear dimensionality reduction
    • DOI 10.1126/science.290.5500.2319
    • J.B. Tenenbaum, V. de Silva, and J.C. Langford, "A Global Geometric Framework for Nonlinear Dimensionality Reduction," Science, vol. 290, no. 5500, pp. 2319-2323, Dec. 2000. (Pubitemid 32041577)
    • (2000) Science , vol.290 , Issue.5500 , pp. 2319-2323
    • Tenenbaum, J.B.1    De Silva, V.2    Langford, J.C.3
  • 44
    • 51049104834 scopus 로고    scopus 로고
    • Consistency of spectral clustering
    • U. von Luxburg, M. Belkin, and O. Bousquet, "Consistency of Spectral Clustering," Annals of Statics, vol. 36, no. 2, pp. 555-586, 2008.
    • (2008) Annals of Statics , vol.36 , Issue.2 , pp. 555-586
    • Von Luxburg, U.1    Belkin, M.2    Bousquet, O.3
  • 45
    • 77956402099 scopus 로고    scopus 로고
    • Abundant lipid and protein components of drusen
    • L. Wang et al., "Abundant Lipid and Protein Components of Drusen," PLoS One, vol. 5, no. 4, p. e10329, 2010.
    • (2010) PLoS One , vol.5 , Issue.4
    • Wang, L.1
  • 48
    • 0038175144 scopus 로고    scopus 로고
    • Go miner: A resource for biological interpretation of genomic and proteomic data
    • B. Zeeberg et al., "GoMiner: A Resource for Biological Interpretation of Genomic and Proteomic Data," Genome Biology, vol. 4, no. 4, p. R28, 2003.
    • (2003) Genome Biology , vol.4 , Issue.4
    • Zeeberg, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.