no code implementations • 5 Oct 2023 • Sho Sonoda, Hideyuki Ishi, Isao Ishikawa, Masahiro Ikeda
The symmetry and geometry of input data are considered to be encoded in the internal data representation inside the neural network, but the specific encoding rule has been less investigated.
no code implementations • 22 Dec 2020 • Hideyuki Ishi, Khalid Koufany
We investigate the semigroup associated to the dual Vinberg cone and prove its triple and Ol'shanski\u{\i} polar decompositions.
Group Theory Primary 20M20. Secondary 22E10