11 citations · 22 across the 17 of their papers we have counts for
4 papers · 1 filter
Properties and applications of Fisher distribution on the rotation group
Tomonari Sei, Hiroki Shibata, Akimichi Takemura +2
We study properties of Fisher distribution (von Mises-Fisher distribution, matrix Langevin distribution) on the rotation group SO(3). In particular we apply the holonomic gradient…
Cones of elementary imsets and supermodular functions: a review and some new results
Takuya Kashimura, Tomonari Sei, Akimichi Takemura +1
In this paper we give a review of the method of imsets introduced by Studeny (2005) from a geometric point of view. Elementary imsets span a polyhedral cone and its dual cone is th…
On optimal stationary couplings between stationary processes
Ludger Rueschendorf, Tomonari Sei
By a classical result of Gray, Neuhoff and Shields (1975) the distance between stationary processes is identified with an optimal stationary coupling problem of the c…
Properties of semi-elementary imsets as sums of elementary imsets
Takuya Kashimura, Tomonari Sei, Akimichi Takemura +1
We study properties of semi-elementary imsets and elementary imsets introduced by Studeny (2005). The rules of the semi-graphoid axiom (decomposition, weak union and contraction) f…