Decorrelation of Vector Fields with Speed of Varifolds

Watch a 24-minute mathematics lecture exploring the decorrelation of vector fields through varifold speed analysis, presented at the Erwin Schrödinger International Institute's Thematic Programme on "Infinite-dimensional Geometry." Learn how different types of diffeomorphic deformations can be combined in registration tasks while maintaining their distinct properties and preventing overlap. Discover a novel approach to quantifying correlation between deformations by examining the speed differences of varifolds associated with shapes in relation to their representative vector fields. Gain insights into improving model interpretability through the strategic combination of deformation types while preserving their individual characteristics and incorporating prior knowledge such as modules.