Nonlinear mapping using a hybrid of PARAMAP and Isomap approaches

Studies in Classification, Data Analysis, and Knowledge Organization

Volumn , Issue , 2010, Pages 371-380

  Akkucuk, Ulas ^a   Carroll, J Douglas ^b  

^a BOGAZICI UNIVERSITY   (Turkey)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

DIMENSIONALITY REDUCTION; MAPPING;

DIMENSIONAL REPRESENTATION; DIMENSIONAL STRUCTURES; HIGHER-DIMENSIONAL; ITERATIVE PROCESS; LOSS FUNCTIONS; NONLINEAR MAPPINGS; PARAMETRIC MAPPING; SATISFACTORY SOLUTIONS;

ITERATIVE METHODS;

EID: 84879577323     PISSN: 14318814     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-642-10745-0_40     Document Type: Conference Paper

References (6)

1. Akkucuk, U. (2004). Nonlinear mapping: Approaches based on optimizing an index of continuity and applying classical metric MDS to revised distances (Doctoral dissertation, Rutgers University, Newark, NJ, 2004). University Microfilms No. AAT 3148774.
2. Akkucuk, U., & Carroll, J. D. (2003). Nonlinear mapping: Approaches based on optimizing an index of continuity and applying classical metric mds to revised distances. Paper presented at DIMACS working group meeting, Tallahassee, Florida.
3. Akkucuk, U., & Carroll, J. D. (2006). PARAMAP vs. isomap: A comparison of two nonlinear mapping algorithms. Journal of Classification, 23, 221-254.
4. Balasubramanian, M., Schwartz, E. L., Tenenbaum, J. B., DeSilva, V., & Langford, J. C. (2002). The isomap algorithm and topological stability. Science, 295, 7a.
5. Shepard, R. N., & Carroll, J. D. (1966). Parametric representation of nonlinear data structures. In P. R. Krishnaiah (Ed.), Multivariate Analysis (pp. 561-592). New York: Academic Press.
6. Tenenbaum, J. B., DeSilva, V., & Langford, J. C. (2000). A global geometric framework for nonlinear dimensionality reduction. Science, 290, 2319-2323.