Analysis via Orthonormal Systems in Reproducing Kernel Hilbert $C^*$-Modules and Applications

no code implementations • 2 Mar 2020 • Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Takeshi Katsura, Yoshinobu Kawahara

Kernel methods have been among the most popular techniques in machine learning, where learning tasks are solved using the property of reproducing kernel Hilbert space (RKHS).

Kernel Mean Embeddings of Von Neumann-Algebra-Valued Measures

no code implementations • 29 Jul 2020 • Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Yoshinobu Kawahara

Kernel mean embedding (KME) is a powerful tool to analyze probability measures for data, where the measures are conventionally embedded into a reproducing kernel Hilbert space (RKHS).

Reproducing kernel Hilbert C*-module and kernel mean embeddings

no code implementations • 27 Jan 2021 • Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Takeshi Katsura, Yoshinobu Kawahara

Kernel methods have been among the most popular techniques in machine learning, where learning tasks are solved using the property of reproducing kernel Hilbert space (RKHS).