Non-Linear Principal Component Analysis Algorithm

A Non-Linear Principal Component Analysis Algorithm is a Principal Component Analysis Algorithm that is a non-linear dimensionality compression algorithm.

• AKA: Non-Linear PCA.
  • …
• Counter-Example(s):
  • Linear Principal Component Analysis.
• See: Dimensionality Reduction Algorithm.

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References

2002

• (Fodor, 2002) ⇒ Imola K. Fodor. (2002). “A Survey of Dimension Reduction Techniques." LLNL technical report, UCRL ID-148494
  • Non-linear PCA introduces non-linearity in the objective function, but the resulting components are still linear combinations of the original variables. This method can also be thought of as a special case of independent component analysis, Section 5.1.4. As indicated in [31], there are different formulations of the non-linear PCA.

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