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Reproducing Kernel Hilbert Space, Representer Theorem

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Part of the book series: Mathematics in Industry ((MATHINDUSTRY,volume 37))

Abstract

One of the key concepts in machine learning is the feature space, which is often referred to as the latent space. A feature space is usually a higher or lower-dimensional space than the original one where the input data lie (which is often referred to as the ambient space).

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References

  1. B. Schölkopf, A. J. Smola, F. Bach et al., Learning with kernels: support vector machines, regularization, optimization, and beyond. MIT Press, 2002.

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  2. B. Schölkopf, R. Herbrich, and A. J. Smola, “A generalized representer theorem,” in International conference on computational learning theory. Springer, 2001, pp. 416–426.

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  3. G. Salton and M. McGill, Introduction to Modern Information Retrieval. McGraw Hill Book Company, 1983.

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Ye, J.C. (2022). Reproducing Kernel Hilbert Space, Representer Theorem. In: Geometry of Deep Learning. Mathematics in Industry, vol 37. Springer, Singapore. https://doi.org/10.1007/978-981-16-6046-7_4

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