Characterization and classification of dynamical states of a system using persistent homology (PH) is proving to be rather fruitful in recent years. The marked success of the approach lies in mapping ...

Ripser.py is a lean persistent homology package for Python. Building on the blazing fast C++ Ripser package as the core computational engine, Ripser.py provides an intuitive interface for computing ...

Article subjects are automatically applied from the ACS Subject Taxonomy and describe the scientific concepts and themes of the article. To evaluate the defect formation energies, first-principles ...

Knot theory is a pivotal mathematical branch and has garnered tremendous research interest for over 200 years. Despite its broad applications, it has been limited to qualitative analysis. We introduce ...

This is a 2D & 3D membrane segmentation tool based on persistent homology. PomSeg employs persistent homology in a hierarchical manner. When provided with 2D image data, PomSeg utilizes grayscale ...

Quantifying and comparing complex spatial biological datasets is crucial for medical applications and remains an active area of research. As datasets become more heterogeneous and complicated, so must ...