Major advances in the precision of magnetic measurements bring us closer to quantum detection of individual spins at the single-atom level. On the quest for reducing both classical and quantum measurement noise, it is intriguing to look forward and searc
Finally, since building geometry is imperfect, simplification assumptions are often considered and constraints are commonly introduced. In order to keep the true geometry and to assess the quality of the as-built model, it is essential to integrate information about deviations of the model from the...
higher-order interactions; topological data analysis; persistent homology; simplicial complex; alpha shape; wrap complex; information theory; Shannon entropy; relative entropy; Bregman divergence; non-Euclidean geometry; Bregman geometry1. Introduction The motivation for the work reported in this paper is...
The resulting Bregman Itakura–Saito divergence [38] is used to compare speech samples, but little is known about the resulting geometry and how it compares with other geometries. Is there a deeper reason for the similarity of the studied geometries? For example: are there Pinsker-type ...
This isbecause learning-based features with a large receptive field can reason about local geometry using a wide range of textural information, making these features more robust in a homogeneous area. A handcrafted feature is more accurate than learning-based features to evaluate the similarity of ...