Notes on: Muandet, K., Fukumizu, K., Sriperumbudur, B., & Sch\"olkopf, Bernhard (2016): Kernel mean embedding of distributions: a review and beyond

Table of Contents

Overview

  • Embedding of a distributions in Hilbert space
  • Review of a framework for mapping distributions into reproducing kernel Hilbert space (RKHS)

Notation

  • Hilbert space muandet16_kernel_mean_embed_distr_04016c2db0a754f30f8b3b0b87bb4fa9ea1528a8.png is a real or complex inner product space which is also a complete metric space, i.e. all convergent sequences are Cauchy wrt. the distance function induced by the inner product.