Learning Neural Representations and Local Embedding for Nonlinear Dimensionality Reduction Mapping
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- Gale Young & A. Householder, 1938. "Discussion of a set of points in terms of their mutual distances," Psychometrika, Springer;The Psychometric Society, vol. 3(1), pages 19-22, March.
- Jiarui Ding & Anne Condon & Sohrab P. Shah, 2018. "Interpretable dimensionality reduction of single cell transcriptome data with deep generative models," Nature Communications, Nature, vol. 9(1), pages 1-13, December.
- Warren Torgerson, 1952. "Multidimensional scaling: I. Theory and method," Psychometrika, Springer;The Psychometric Society, vol. 17(4), pages 401-419, December.
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Keywords
unsupervised learning; distance preserving mapping; nonlinear dimensionality reduction mapping; data visualization; topology preservation; data support approximation; nonlinear system solving; Levenberg-Marquardt learning; clustering analysis; principle component analysis; locally nonlinear embedding;All these keywords.
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