33 citations · 150 across the 7 of their papers we have counts for
7 papers
Dirac signal processing of higher-order topological signals
Lucille Calmon, Michael T. Schaub, Ginestra Bianconi
Higher-order networks can sustain topological signals which are variables associated not only to the nodes, but also to the links, to the triangles and in general to the higher dim…
Higher-order signal processing with the Dirac operator
Lucille Calmon, Michael T. Schaub, Ginestra Bianconi
The processing of signals on simplicial and cellular complexes defined by nodes, edges, and higher-order cells has recently emerged as a principled extension of graph signal proces…
Local Dirac Synchronization on Networks
Lucille Calmon, Sanjukta Krishnagopal, Ginestra Bianconi
We propose Local Dirac Synchronization which uses the Dirac operator to capture the dynamics of coupled nodes and link signals on an arbitrary network. In Local Dirac Synchronizati…
Diffusion-driven instability of topological signals coupled by the Dirac operator
Lorenzo Giambagli, Lucille Calmon, Riccardo Muolo +2
The study of reaction-diffusion systems on networks is of paramount relevance for the understanding of nonlinear processes in systems where the topology is intrinsically discrete,…
Calabi-Yau Metrics, Energy Functionals and Machine-Learning
Anthony Ashmore, Lucille Calmon, Yang-Hui He +1
We apply machine learning to the problem of finding numerical Calabi-Yau metrics. We extend previous work on learning approximate Ricci-flat metrics calculated using Donaldson's al…
Dirac synchronization is rhythmic and explosive
Lucille Calmon, Juan G. Restrepo, Joaquín J. Torres +1
Topological signals defined on nodes, links and higher dimensional simplices define the dynamical state of a network or of a simplicial complex. As such, topological signals are at…
Longest Path in the Price Model
Tim S. Evans, Lucille Calmon, Vaiva Vasiliauskaite
The Price model, the directed version of the Barabási-Albert model, produces a growing directed acyclic graph. We look at variants of the model in which directed edges are added to…