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math.GR2020
The compression semigroup of the dual Vinberg cone
Hideyuki Ishi, Khalid Koufany
We investigate the semigroup associated to the dual Vinberg cone and prove its triple and Ol'shanski\uı polar decompositions. Moreover, we show that the semigroup does not have the…
math.ST2020
Model selection in the space of Gaussian models invariant by symmetry
Piotr Graczyk, Hideyuki Ishi, Bartosz Kołodziejek +1
We consider multivariate centered Gaussian models for the random variable , invariant under the action of a subgroup of the group of permutations on $\{1,\ldot…