Glass-like carbon (GLC) is a complex structure with astonishing properties: isotropic sp 2
structure, low density and chemical robustness. Despite the expanded efforts to understand …

Persistent homology captures the topology of a filtration-a one-parameter family of
increasing spaces-in terms of a complete discrete invariant. This invariant is a multiset of …

We present an algorithm for determining the Morse complex of a two or three-dimensional
grayscale digital image. Each cell in the Morse complex corresponds to a topological …

The Vietoris-Rips complex characterizes the topology of a point set. This complex is popular
in topological data analysis as its construction extends easily to higher dimensions. We …

Abstract Machine Learning (ML) studies algorithms which can learn from data to gain
knowledge from experience and to make decisions and predictions. Health Informatics (HI) …

The theory of multidimensional persistence captures the topology of a multifiltration–a
multiparameter family of increasing spaces. Multifiltrations arise naturally in the topological …

Digital pathology is not only one of the most promising fields of diagnostic medicine, but at
the same time a hot topic for fundamental research. Digital pathology is not just the transfer …

Persistent homology, while ostensibly measuring changes in topology, captures multiscale
geometrical information. It is a natural tool for the analysis of point patterns. In this paper we …

We study the information content of summary statistics built from the multi-scale topology of
large-scale structures on primordial non-Gaussianity of the local and equilateral type. We …

A hybrid two-stage machine-learning architecture that addresses the problem of excessive
false positives (false alarms) in solar flare prediction systems is investigated. The first stage …