“The circular coordinates algorithm of de Silva, Morozov, and Vejdemo-Johansson takes as input a dataset together with a cohomology class representing a 1-dimensional hole in the data; the output is a map from the data into the circle that captures this hole, and that is of minimum energy in a suitable sense. However, when applied to several cohomology classes, the output circle-valued maps can be ‘geometrically correlated’ even if the chosen cohomology classes are linearly independent. … We identify a formal notion of geometric correlation between circle-valued maps.”

Find the paper and full list of authors at Dagstuhl Research Online.