Distributed Cooperative AI for Large-Scale Eigenvalue Computations Using Neural Networks

Abstract

This paper presents a novel method for eigenvalue computation using a distributed cooperative neural network framework. Unlike traditional techniques that struggle with scalability in large systems, our decentralized algorithm enables multiple autonomous agents to collaboratively estimate the smallest eigenvalue of large matrices. Each agent uses a localized neural network model, refining its estimates through inter-agent communication. Our approach guarantees convergence to the true eigenvalue, even with communication failures or network disruptions. Theoretical analysis confirms the robustness and accuracy of the method, while empirical results demonstrate its better performance compared to some traditional centralized algorithms