Evaluation of Representation Fidelity to Similarity in ChronoView

ChronoView is a visualization method representing periodic features of event occurrence times. It represents each event group (i.e., each set of time stamps) as a position on a plane. While ChronoView has high space efficiency, it has representational ambiguity. For example, while two similar sets must be placed at positions close to each other, two sets placed at positions close to each other need not always be similar. A three-dimensional development of ChronoView has been proposed to solve this problem. This paper presents a numerical experiment to evaluate how similarities between event groups are faithfully represented by Euclidean distance in a presentation space. The experiment shows that the three-dimensional ChronoView's faithfulness is higher than that of two-dimensional ChronoView and lower than that of three-dimensional multidimensional scaling (MDS) but comparable to that of two-dimensional MDS.