Optimization, Acceleration and Out of Sample Extensions

Sylvain Lespinats, Benoit Colange and Denys Dutykh
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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

Chapter Chapter 7 in Nonlinear Dimensionality Reduction Techniques, 2022, pp 157-176 from Springer

Abstract: 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).

Date: 2022
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DOI: 10.1007/978-3-030-81026-9_7

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