17 citations · 36 across the 14 of their papers we have counts for
4 papers · 1 filter
Multidimensional Persistence Module Classification via Lattice-Theoretic Convolutions
Hans Riess, Jakob Hansen, Robert Ghrist
Multiparameter persistent homology has been largely neglected as an input to machine learning algorithms. We consider the use of lattice-based convolutional neural network layers a…
Quiver Signal Processing (QSP)
Alejandro Parada-Mayorga, Hans Riess, Alejandro Ribeiro +1
In this paper we state the basics for a signal processing framework on quiver representations. A quiver is a directed graph and a quiver representation is an assignment of vector s…
A Temporal Logic-Based Hierarchical Network Connectivity Controller
Hans Riess, Yiannis Kantaros, George Pappas +1
In this paper, we consider networks of static sensors with integrated sensing and communication capabilities. The goal of the sensors is to propagate their collected information to…
Cellular Sheaves of Lattices and the Tarski Laplacian
Robert Ghrist, Hans Riess
This paper initiates a discrete Hodge theory for cellular sheaves taking values in a category of lattices and Galois connections. The key development is the Tarski Laplacian, an en…