Abstract Systems neuroscience is facing an ever-growing mountain of data. Recent
advances in protein engineering and microscopy have together led to a paradigm shift in …

This paper introduces cellular sheaf theory to graphical methods and reciprocal
constructions in structural engineering. The elementary mechanics and statics of trusses are …

We set up the theory for a distributed algorithm for computing persistent homology. For this
purpose we develop linear algebra of persistence modules. We present bases of …

We introduce decorated mapper graphs as a generalization of mapper graphs capable of
capturing more topological information of a data set. A decorated mapper graph can be …

We expand the toolbox of (co) homological methods in computational topology by applying
the concept of persistence to sheaf cohomology. Since sheaves (of modules) combine …

Probing the developing neural circuitry in Caenorhabditis elegans has enhanced our
understanding of nervous systems. The C. elegans connectome, like those of other species …

Latent space matching, which consists of matching distributions of features in latent space, is
a crucial component for tasks such as adversarial attacks and defenses, domain adaptation …

We discuss the Mayer-Vietoris spectral sequence as an invariant in the context of persistent
homology. In particular, we introduce the notion of εacyclic carriers and ε-acyclic …

We extend the persistence algorithm, viewed as an algorithm computing the homology of a
complex of free persistence or graded modules, to complexes of modules that are not free …

The goal of Delay Tolerant Networking (DTN) is to provide the missing ingredient for the
ever-growing collection of communicating nodes in our solar system to become a Solar …