3 papers
cs.CG2026
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…
math.AT2024
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…
math.RA2019
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…