9 papers
Topological Signal Processing for 3D Point Cloud Data
Tiziana Cattai, Stefania Sardellitti, Stefania Colonnese +1
Our goal in this paper is to apply the topological signal processing (TSP) framework to the analysis of 3D Point Clouds (PCs) represented on simplicial complexes. Building on Discr…
Learning Dirac Spectral Transforms for Topological Signals
Leonardo Di Nino, Tiziana Cattai, Sergio Barbarossa +2
The Dirac operator provides a unified framework for processing signals defined over different order topological domains, such as node and edge signals. Its eigenmodes define a spec…
Physics-Informed Topological Signal Processing for Water Distribution Network Monitoring
Tiziana Cattai, Stefania Sardellitti, Stefania Colonnese +2
Water management is one of the most critical aspects of our society, together with population increase and climate change. Water scarcity requires a better characterization and mon…
Introducing the modularity graph: an application to brain functional networks
Tiziana Cattai, Camilla Caporali, Marie-Constance Corsi +1
In signal processing, exploring complex systems through network representations has become an area of growing interest. This study introduces the modularity graph, a new graph-base…
Community Detection from Multiple Observations: from Product Graph Model to Brain Applications
Tiziana Cattai, Gaetano Scarano, Marie-Constance Corsi +2
This paper proposes a multilayer graph model for the community detection from multiple observations. This is a very frequent situation, when different estimators are applied to inf…
SWI-FEED: Smart Water IoT Framework for Evaluation of Energy and Data in Massive Scenarios
Antonino Pagano, Domenico Garlisi, Fabrizio Giuliano +2
This paper presents a comprehensive framework designed to facilitate the widespread deployment of the Internet of Things (IoT) for enhanced monitoring and optimization of Water Dis…