Vectors, Matrices, Maps and the finite-dimensional RKHSs

Speaker: Ömür Uğur (Institute of Applied Mathematics, METU)

Date / Time: Tuesday, March 12, 2024 / 15:40

Place: S-212 @ IAM / Online Participation (please self-register first)

Abstract: In this talk, we will be reviewing the vectors and matrices to prepare ourselves for the inner products as well as the maps that are essential for RKHSs. Hopefully, many examples will be provided to illustrate and possibly to verify the underlying idea and the key points in and usage of the finite-dimensional RKHSs in applications. The talk will be somewhat a modified version of the Second Chapter of the book “A Primer on Reproducing Kernel Hilbert Spaces” by J. H. Manton and P.-O. Amblard (Manton & Amblard, 2015); and hopefully, it will bridge the gap between applications and theoretical considerations of RKHS that will follow within these seminar series.

Manton, J. H., & Amblard, P.-O. (2015). A Primer on Reproducing Kernel Hilbert Spaces. https://doi.org/10.1561/2000000050
```
@misc{Manton15,
  title = {A Primer on Reproducing Kernel {H}ilbert Spaces},
  author = {Manton, Jonathan H. and Amblard, Pierre-Olivier},
  year = {2015},
  eprint = {1408.0952},
  archiveprefix = {arXiv},
  primaryclass = {math.HO},
  doi = {10.1561/2000000050}
}
```

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