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Optimization, Acceleration and Out of Sample Extensions

In: Nonlinear Dimensionality Reduction Techniques

Author

Listed:
  • Sylvain Lespinats

    (Grenoble Alpes University, National Institute of Solar Energy (INES))

  • Benoit Colange

    (Grenoble Alpes University, National Institute of Solar Energy (INES))

  • Denys Dutykh

    (Université Grenoble Alpes, Université Savoie Mont Blanc, Campus Scientifique, CNRS - LAMA UMR 5127)

Abstract

This chapter details the challenges involved for the optimization of the stress functions presented in the previous chapters, as well as the solutions effectively used (Sect. 7.1). It then addresses the issue of time and space complexity and DR techniques acceleration (Sect. 7.2). Finally, it dives into out of sample extension of the mapping, which allows to position new data points a posteriori onto a given map (Sect. 7.3).

Suggested Citation

  • Sylvain Lespinats & Benoit Colange & Denys Dutykh, 2022. "Optimization, Acceleration and Out of Sample Extensions," Springer Books, in: Nonlinear Dimensionality Reduction Techniques, chapter 0, pages 157-176, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-81026-9_7
    DOI: 10.1007/978-3-030-81026-9_7
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