12 citations · 19 across the 11 of their papers we have counts for
13 papers
Invariant statistical connections on the multivariate centered Gaussian model and their moduli spaces
Hideyuki Ishi, Hikozo Kobayashi, Takayuki Okuda
We study invariant statistical connections on the space of zero-mean multivariate normal distributions (the multivariate centered Gaussian model) equipped with th…
A new class of colored Gaussian graphical models with explicit normalizing constants
Adam Chojecki, Piotr Graczyk, Hideyuki Ishi +1
We study Bayesian model selection in colored Gaussian graphical models (CGGMs), which combine sparsity of conditional independencies with symmetry constraints encoded by vertex- an…
Joint Group Invariant Functions on Data-Parameter Domain Induce Universal Neural Networks
Sho Sonoda, Hideyuki Ishi, Isao Ishikawa +1
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 inv…
Graphical Gaussian models associated to a homogeneous graph with permutation symmetries
Piotr Graczyk, Hideyuki Ishi, Bartosz Kołodziejek
We consider multivariate centered Gaussian models for the random vector , whose conditional structure is described by a homogeneous graph and which is invariant…
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…
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…