12 citations · 19 across the 11 of their papers we have counts for
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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…
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…
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…
Wishart laws and variance function on homogeneous cones
Piotr Graczyk, Hideyuki Ishi, Bartosz Kołodziejek
We present a systematic study of Riesz measures and their natural exponential families of Wishart laws on a homogeneous cone. We compute explicitly the inverse of the mean map and…
Wishart exponential families on cones related to An graphs
Piotr Graczyk, Hideyuki Ishi, Salha Mamane
Let G = An be the graph corresponding to the graphical model of nearest neighbour interaction in a Gaussian character. We study Natural Exponential Families( NEF) ofWishart distrib…