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The rapid proliferation of Internet of Things (IoT) devices has expanded the attack surface for cyber threats, necessitating real-time and scalable security solutions. Traditional Intrusion Detection Systems (IDS) require extensive data processing, which is computationally infeasible for resource-constrained IoT environments. This paper proposes a novel property testing-based anomaly detection framework that efficiently monitors IoT networks while reducing computational overhead. By leveraging sublinear-time statistical sampling and probabilistic validation, the proposed framework detects network anomalies, unauthorized access, and malware propagation without requiring full dataset analysis. A hybrid Edge AI and Federated Learning model is integrated to enhance security across distributed IoT nodes while ensuring data privacy. The system is evaluated against real-world IoT cybersecurity threats, demonstrating up to 70% reduction in processing time and a 92% accuracy rate in detecting intrusions with only 10% of the dataset analyzed. Compared to recent lightweight federated and sketch-based IDS models, the proposed framework improves F1-score by up to 11.3%, while reducing inference time and energy consumption by over 60%, highlighting its practical efficiency and scalability. These findings underscore the potential of property testing as an efficient alternative for real-time cybersecurity monitoring in IoT ecosystems.
Manuel J. C. S. Reis (Wed,) studied this question.