3 citations · 3 across the 7 of their papers we have counts for
8 papers
From Graphical Lasso to Atomic Norms: High-Dimensional Pattern Recovery
Piotr Graczyk, Bartosz Kołodziejek, Hideto Nakashima +1
We study high-dimensional precision-matrix estimation with polyhedral atomic-norm penalties on the off-diagonal entries. This framework covers the graphical lasso, -ty…
An example of homogeneous cones whose basic relative invariant has maximal degree
Hideto Nakashima
It is known that degrees of basic relative invariants of homogeneous open convex cones of rank are less than or equal to . In this article, we show that there exists a…
Prehomogeneous vector spaces obtained from triangle arrangements
Takeyoshi Kogiso, Hideto Nakashima
In this paper, we construct a new series of prehomogeneous vector spaces from figures made up of triangles, called triangle arrangements. Our main theorem states that, under suitab…
On gamma matrices of local zeta functions associated with homogeneous cones
Hideto Nakashima
The purpose of this paper is to investigate coefficient matrices of functional equations of zeta functions associated with homogeneous cones, which are given explicitly in the prev…
Algebraic proof of explicit formulas of basic relative invariants of homogeneous cones
Hideto Nakashima
The aim of this paper is to give another proof to a result on the image of a homogeneous quadratic map which is positive with respect to a homogeneous cone, given by Graczyk and Is…
Completion of local zeta functions associated with a certain class of homogeneous cones
Hideto Nakashima
It is well known that the Riemann zeta function can be completed to the Riemann xi function in the sense that its functional equation has a higher symmetric form $ξ(1-s)=ξ(s…
Analysis on Lambert-Tsallis functions
Hideto Nakashima, Piotr Graczyk
In this paper, we study the Lambert-Tsallis function, which is a generalization of the Lambert function with two real parameters. We give a condition on the parameters such that th…
Wigner and Wishart Ensembles for graphical models
Hideto Nakashima, Piotr Graczyk
Vinberg cones and the ambient vector spaces are important in modern statistics of sparse models and of graphical models. The aim of this paper is to study eigenvalue distributions…