Latent geometry emerging from network-driven processes

Abstract

Understanding network functionality requires integrating structure and dynamics, and emergent latent geometry induced by network-driven processes captures the low-dimensional spaces governing this interplay. Here, we focus on generative-model-based approaches, distinguishing two reconstruction classes: fixed-time methods, which infer geometry at specific temporal scales (e.g., equilibrium), and multi-scale methods, which integrate dynamics across near- and far-from-equilibrium scales. Over the past decade, these models have revealed functional organization in biological, social, and technological networks.

References in corpus (50)

• The structure and function of complex networks
• Maps of random walks on complex networks reveal community structure
• Temporal Networks
• Spatial Networks
• Critical phenomena in complex networks
• Graph Embedding Techniques, Applications, and Performance: A Survey
• Networks beyond pairwise interactions: structure and dynamics
• Self-similarity of complex networks
• Evolutionary dynamics of group interactions on structured populations: A review
• Hyperbolic Geometry of Complex Networks
• The map equation
• Adaptive Coevolutionary Networks: A Review
• Communicability in complex networks
• Control Principles of Complex Networks
• Popularity versus Similarity in Growing Networks
• Navigability of Complex Networks
• Random Walks, Markov Processes and the Multiscale Modular Organization of Complex Networks
• Laplacian Dynamics and Multiscale Modular Structure in Networks
• Self-similarity of complex networks and hidden metric spaces
• Geometry and non-adiabatic response in quantum and classical systems
• Skeleton and fractal scaling in complex networks
• Network Geometry
• Geometry of quantum phase transitions
• Small world-Fractal Transition in Complex Networks: Renormalization Group Approach
• Griffiths phases on complex networks
• Stochastic thermodynamic interpretation of information geometry
• Disentangling high-order mechanisms and high-order behaviours in complex systems
• Effective Distances for Epidemics Spreading on Complex Networks
• Global disease spread: statistics and estimation of arrival times
• Mapping higher-order network flows in memory and multilayer networks with Infomap
• Quantum information-geometry of dissipative quantum phase transitions
• Information Geometry and Phase Transitions
• Complex networks renormalization: flows and fixed points
• Diversity of information pathways drives scaling and sparsity in real-world networks
• Statistical physics of complex information dynamics
• Diffusion geometry unravels the emergence of functional clusters in collective phenomena
• How to predict community responses to perturbations in the face of imperfect knowledge and network complexity
• The Information Geometry of the Ising Model on Planar Random Graphs
• Unraveling the effects of multiscale network entanglement on disintegration of empirical systems
• Laplacian paths in complex networks: information core emerges from entropic transitions
• Information geometry in quantum field theory: lessons from simple examples
• Flow stability for dynamic community detection
• Diffusion geometry of multiplex and interdependent systems
• Generalized network density matrices for analysis of multiscale functional diversity
• Manifold Cities: Social variables of urban areas in the UK
• Dynamical Mean-Field Theory of Complex Systems on Sparse Directed Networks
• Zoo Guide to Network Embedding
• Exact solution of Dynamical Mean-Field Theory for a linear system with annealed disorder
• Information geometry and synchronization phase transition in Kuramoto model
• Griffiths phase emerging from strong mutualistic disorder in high-dimensional interacting systems