1 citations · 2 across the 5 of their papers we have counts for
6 papers
Emergence of Fibrations, Compression, and Symmetry Breaking in Artificial Neural Networks
Osvaldo M Velarde, Lucas C Parra, Alireza Hashemi +1
Artificial neural networks are often regarded as powerful yet opaque black boxes. Here, we demonstrate that learning in deep neural networks generates local symmetries known in gra…
Symmetries of Living Systems: Symmetry Fibrations and Synchronization in Biological Networks
Hernan A. Makse, Paolo Boldi, Francesco Sorrentino +1
A symmetry is a `change without change'. As simple as it sounds, this concept is the fundamental cornerstone that unifies all branches of theoretical physics. Virtually all physica…
Extreme vulnerability to intruder attacks destabilizes network dynamics
Amirhossein Nazerian, Sahand Tangerami, Malbor Asllani +3
Consensus, synchronization, formation control, and power grid balance are examples of desirable dynamical states that arise in networks. Here we investigate how such states can be…
Symmetries and synchronization from whole-neural activity in {\it C. elegans} connectome: Integration of functional and structural networks
Bryant Avila, Pedro Augusto, David Phillips +3
Understanding the dynamical behavior of complex systems from their underlying network architectures is a long-standing question in complexity theory. Therefore, many metrics have b…
Fibration symmetry-breaking supports functional transitions in a brain network engaged in language
Tommaso Gili, Bryant Avila, Luca Pasquini +7
In his book 'A Beautiful Question', physicist Frank Wilczek argues that symmetry is 'nature's deep design,' governing the behavior of the universe, from the smallest particles to t…
The Role of Fibration Symmetries in Geometric Deep Learning
Osvaldo Velarde, Lucas Parra, Paolo Boldi +1
Geometric Deep Learning (GDL) unifies a broad class of machine learning techniques from the perspectives of symmetries, offering a framework for introducing problem-specific induct…