Search Results for author:
Found 8 papers, 3 papers with code
Fibration symmetry uncovers minimal regulatory networks for logical computation in bacteria
Symmetry principles have proven important in physics, deep learning and geometry, allowing for the reduction of complicated systems to simpler, more comprehensible models that preserve the system's features of interest.
Symmetry-driven network reconstruction through pseudobalanced coloring optimization
For that reason, a method to find pseudosymmetries and repair networks based on those symmetries is important when analyzing real world networks.
Quasifibrations of Graphs to Find Symmetries in Biological Networks
A fibration of graphs is an homomorphism that is a local isomorphism of in-neighbourhoods, much in the same way a covering projection is a local isomorphism of neighbourhoods.
Matryoshka and Disjoint Cluster Synchronization of Networks
For each pair of clusters, we distinguish between three different cases: Matryoshka Cluster Synchronization (when the range of the stability of the synchronous solution for one cluster is included in that of the other cluster), Partially Disjoint Cluster Synchronization (when the ranges of stability of the synchronous solutions partially overlap), and Complete Disjoint Cluster Synchronization (when the ranges of stability of the synchronous solutions do not overlap.)
Fast algorithm to identify cluster synchrony through fibration symmetries in large information-processing networks
Recent studies revealed an important interplay between the detailed structure of fibration symmetric circuits and the functionality of biological and non-biological networks within which they have be identified.
Predicting synchronized gene coexpression patterns from fibration symmetries in gene regulatory networks in bacteria
We have recently shown that synchronized gene expression may be predicted from symmetries in the gene regulatory networks (GRN) and described by the concept of symmetry fibrations.
Circuits with broken fibration symmetries perform core logic computations in biological networks
We show that logic computational circuits in gene regulatory networks arise from a fibration symmetry breaking in the network structure.
Fibration symmetries uncover the building blocks of biological networks
Thus, symmetry fibrations describe how complex networks are built from the bottom up to process information through the synchronization of their constitutive building blocks.
