Schroedinger Eigenmaps for the Analysis of Biomedical Data

被引:53
作者
Czaja, Wojciech [1 ]
Ehler, Martin [2 ,3 ]
机构
[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA
[2] Helmholtz Zentrum Munchen, German Res Ctr Environm Hlth, Inst Biomath & Biometry, D-85764 Neuherberg, Germany
[3] Eunice Kennedy Shriver Natl Inst Child Hlth & Hum, NIH, Sect Med Biophys, Bethesda, MD 20892 USA
基金
美国国家科学基金会;
关键词
Schroedinger Eigenmaps; Laplacian Eigenmaps; Schroedinger operator on a graph; barrier potential; dimension reduction; manifold learning; DIMENSIONALITY REDUCTION; BRUCHS MEMBRANE; DRUSEN; REGULARIZATION; DIAGNOSIS; TOOL;
D O I
10.1109/TPAMI.2012.270
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We introduce Schroedinger Eigenmaps (SE), a new semi-supervised manifold learning and recovery technique. This method is based on an implementation of graph Schroedinger operators with appropriately constructed barrier potentials as carriers of labeled information. We use our approach for the analysis of standard biomedical datasets and new multispectral retinal images.
引用
收藏
页码:1274 / 1280
页数:7
相关论文
共 49 条
[31]   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 [J].
Hageman, GS ;
Luthert, PJ ;
Chong, NHV ;
Johnson, LV ;
Anderson, DH ;
Mullins, RF .
PROGRESS IN RETINAL AND EYE RESEARCH, 2001, 20 (06) :705-732
[32]  
Haimovici R, 2001, INVEST OPHTH VIS SCI, V42, P1592
[33]  
Halevy A., 2011, THESIS U MARYLAND
[34]   Principal component model of multispectral data for near real-time skin chromophore mapping [J].
Kainerstorfer, Jana M. ;
Ehler, Martin ;
Amyot, Franck ;
Hassan, Moinuddin ;
Demos, Stavros G. ;
Chernomordik, Victor ;
Hitzenberger, Christoph K. ;
Gandjbakhche, Amir H. ;
Riley, Jason D. .
JOURNAL OF BIOMEDICAL OPTICS, 2010, 15 (04)
[35]  
Kim M., 2009, P 12 INT C ART INT S
[36]  
Meyers Sanford M, 2004, Trans Am Ophthalmol Soc, V102, P83
[37]   Nonlinear dimensionality reduction by locally linear embedding [J].
Roweis, ST ;
Saul, LK .
SCIENCE, 2000, 290 (5500) :2323-+
[38]  
SBEH ZB, 2001, IEEE T MED IMAGING, V20, P1321
[39]  
Scholkopf B, 2002, Encyclopedia of Biostatistics
[40]   Model-driven segmentation of articulating humans in Laplacian Eigenspace [J].
Sundaresan, Aravind ;
Chellappa, Rama .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2008, 30 (10) :1771-1785