{'fraction_non_alphanumeric': 0.02176696542893726, 'fraction_numerical': 0.0, 'mean_word_length': 5.516666666666667, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
A Scalable Distributed algorithm for Least Squares Solutions in Double-layered Multi-agent Networks

In this paper, we propose a scalable distributed algorithm for double-layered multi-agent network to cooperatively find the least square solutions to an over-determined linear equation. Compared with existing consensus-based distributed linear equation solvers, the double-layered network structure allows us to implement two types of coordination, namely consensus and conservation, simultaneously. As a result, the proposed algorithm has achieved better scalability in the sense that each agent does not need to know a full row of the overall equation. The convergence of our algorithm is exponential, which has been validated by both analytical proof and numerical simulations.