2 papers
math.OC2026
Distributed Optimization over Simplicial Complexes via Topological Dirac Synchronization
Christian D. Rodríguez-Camargo, Andrés F. Urquijo-Rodríguez, Eduardo A. Mojica-Nava
We introduce a distributed optimization framework for systems with higher-order interactions represented by simplicial and cell complexes. Specializing global topological Dirac syn…
math.OC2023
Consensus-based Distributed Optimization for Multi-agent Systems over Multiplex Networks
C. D. Rodríguez-Camargo, A. F. Urquijo-Rodríguez, E. A. Mojica-Nava
Multilayer networks provide a more comprehensive framework for exploring real-world and engineering systems than traditional single-layer networks, consisting of multiple interacti…