3 papers
cs.LG2026
Understanding the geometry of deep learning with decision boundary volume
Matthew Burfitt, Jacek Brodzki, Pawel DÅotko
For classification tasks, the performance of a deep neural network is determined by the structure of its decision boundary, whose geometry directly affects essential properties of…
cs.LG2025
Pattern recognition in complex systems via vector-field representations of spatio-temporal data
Ingrid Amaranta Membrillo Solis, Maria van Rossem, Tristan Madeleine +5
A complex system comprises multiple interacting entities whose interdependencies form a unified whole, exhibiting emergent behaviours not present in individual components. Examples…
cond-mat.soft2025
Multiscale geometrical and topological learning in the analysis of soft matter collective dynamics
Tetiana Orlova, Amaranta Membrillo Solis, Hayley R. O. Sohn +5
Understanding the behavior and evolution of a dynamical many-body system by analyzing patterns in their experimentally captured images is a promising method relevant for a variety…