5 papers
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…
Intermediate time scale in the first product formation time distribution of Michaelis-Menten kinetics with inhibitors
Arthur M. S. Carvalho, Gerson C. Duarte-Filho, Fernando A. N. Santos
Michaelis-Menten kinetics is one of the most recognized models in enzyme kinetics, crucial for the understanding of biochemical reactions in several metabolic processes. In this st…
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…
Beyond Signal and Noise: Unraveling Scale Invariance in Neuroscience and Financial Networks with Topological Data Analysis
Roel Gisolf, Fernando A. N. Santos, Felix Wierstra
Topological Data Analysis (TDA) is increasingly crucial in investigating the shape of complex data structures across scientific fields, particularly in neuroscience and finance. Th…