6 papers
Learning Laplacian Forms for Graph Signal Processing via the Deformed Laplacian
Stefania Sardellitti
Learning the graph Laplacian from observed data is one of the most investigated and fundamental tasks in Graph Signal Processing (GSP). Different variants of the Laplacian, such as…
Multimodal Higher-Order Brain Networks: A Topological Signal Processing Perspective
Breno C. Bispo, Stefania Sardellitti, Juliano B. Lima +1
Brain connectomics is still largely dominated by pairwise-based models, such as graphs, which cannot represent circulatory or higher-order functional interactions. In this paper, w…
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…
Topological Signal Processing Over Cell MultiComplexes Via Cross-Laplacian Operators
Stefania Sardellitti, Breno C. Bispo, Fernando A. N. Santos +1
One of the key challenges in many research fields is uncovering how different interconnected systems interact within complex networks, typically represented as multi-layer networks…
Learning Higher-Order Interactions in Brain Networks via Topological Signal Processing
Breno C. Bispo, Stefania Sardellitti, Fernando A. N. Santos +1
Our goal in this paper is to leverage the potential of the topological signal processing (TSP) framework for analyzing brain networks. Representing brain data as signals over simpl…
Cross-Laplacians Based Topological Signal Processing over Cell MultiComplexes
Stefania Sardellitti, Breno C. Bispo, Fernando A. N. Santos +1
The study of the interactions among different types of interconnected systems in complex networks has attracted significant interest across many research fields. However, effective…