Abstract: Systems and methods are provided for using Connected Dominating Sets (CDS) in a Distributed Average Consensus (DAC) process to bridge the gap between a fully centralized consensus approach and a fully distributed one. Embodiments of the present disclosure provide a process for distributed network consensus using network node proxies based on CDS, demonstrating reductions in both the network-wide convergence time and required network communications to achieve agreement. In an embodiment, CDS are used to act as a subgraph of proxy agents for the network iterative communication and computation process, resulting in a network wide DAC result. Embodiments of the present disclosure reduce the required messages and overall delay needed to converge to a distributed group solution.

Abstract: Systems and methods are provided for a hypergraph representation and transformation process enabling the cogeneration and analysis of multiple system attributes alongside system node relationships within real world data models. Embodiments of the present disclosure allow for the cogeneration of attribute embeddings, along with node embeddings, within a single, graph-based data set model. Embodiments of the present disclosure provide a higher level of accuracy in problem space representation compared to conventional systems and methods and help to reveal more complex relationships in real world problems.

Abstract: Systems and methods are provided for a hypergraph representation and transformation process enabling the cogeneration and analysis of multiple system attributes alongside system node relationships within real world data models. Embodiments of the present disclosure allow for the cogeneration of attribute embeddings, along with node embeddings, within a single, graph-based data set model. Embodiments of the present disclosure provide a higher level of accuracy in problem space representation compared to conventional systems and methods and help to reveal more complex relationships in real world problems.