3 citations · 3 across the 4 of their papers we have counts for
4 papers
On Angle-optimization and Simplification of Degree-1 Homology Representatives
Emerson G. Escolar, Yuta Shimada
In topological data analysis, in particular persistent homology analysis, extracting "optimal" representatives for homology classes is crucial for identifying geometric regions of…
A topological analysis of the space of recipes
Emerson G. Escolar, Yuta Shimada, Masahiro Yuasa
In recent years, the use of data-driven methods has provided insights into underlying patterns and principles behind culinary recipes. In this exploratory work, we introduce the us…
Affine algebraic super-groups with integral
Akira Masuoka, Taiki Shibata, Yuta Shimada
We generalize to the super context, the known fact that if an affine algebraic group over a commutative ring acts freely (in an appropriate sense) on an affine scheme o…
Twisted forms of differential Lie algebras over associated with complex simple Lie algebras
Akira Masuoka, Yuta Shimada
Discussed here is descent theory in the differential context where everything is equipped with a differential operator. To answer a question personally posed by A. Pianzola, we det…