9 citations · 18 across the 4 of their papers we have counts for
4 papers
The persistent homology of a sampled map: From a viewpoint of quiver representations
Hiroshi Takeuchi
This paper aims to introduce a filtration analysis of sampled maps based on persistent homology, providing a new method for reconstructing the underlying maps. The key idea is to e…
Matrix Method for Persistence Modules on Commutative Ladders of Finite Type
Hideto Asashiba, Emerson G. Escolar, Yasuaki Hiraoka +1
The theory of persistence modules on the commutative ladders provides an extension of persistent homology. However, an efficient algorithm to compute the generalized pers…
Spinning exact solutions with Sasakian structure in Gauss-Bonnet Maxwell gravity
Hiroshi Takeuchi
We obtain new exact solutions in Einstein Gauss-Bonnet gravity of every odd dimension higher than three. These new spacetimes are stationary but non-static, coupled with the Maxwel…
A Deformation of Sasakian Structure in the Presence of Torsion and Supergravity Solutions
Tsuyoshi Houri, Hiroshi Takeuchi, Yukinori Yasui
We discuss a deformation of Sasakian structure in the presence of totally skew-symmetric torsion by introducing odd dimensional manifolds whose metric cones are Kähler with torsion…