3 papers
math.GT2025
Data Driven Perspectives on Knot Theory
Pawel Dlotko, Davide Gurnari, Radmila Sazdanovic
Data science offers a powerful tool to understand objects in multiple sciences. In this paper we utilize concept of data science, most notably topological data analysis, to extend…
math.HO2025
Consonance in music -- the Pythagorean approach revisited
Jan Cichowlas, PaweÅ DÅotko, Marek KuÅ +1
The Pythagorean school attributed consonance in music to simplicity of frequency ratios between musical tones. In the last two centuries, the consonance curves developed by Helmhol…
cs.CG2024
ClusterGraph: a new tool for visualization and compression of multidimensional data
PaweÅ DÅotko, Davide Gurnari, Mathis Hallier +1
Understanding the global organization of complicated and high dimensional data is of primary interest for many branches of applied sciences. It is typically achieved by applying di…