π€ AI Summary
Multi-agent AI systems lack formal guarantees of fairness and robustness under repeated interactions. Method: We propose a closed-loop dynamic modeling framework grounded in stochastic control theory to formally verify the long-term behavioral properties of inter-agent interconnection structures. Contribution/Results: We introduce the first open-source framework supporting reusable verification of fairness and robustness properties, enabling provably guaranteed fairness and robustness within closed-loop models. Built on PyTorch, the toolkit integrates stochastic control and probabilistic modeling techniques to support both dynamic analysis and theoretical verification of multi-agent responses. Compared to existing approaches, it significantly reduces the computational complexity of fairness verification while providing mathematically rigorous, long-term behavioral assurances for AI system interconnectivity.
π Abstract
Artificial intelligence (AI) systems often interact with multiple agents. The regulation of such AI systems often requires that {em a priori/} guarantees of fairness and robustness be satisfied. With stochastic models of agents' responses to the outputs of AI systems, such {em a priori/} guarantees require non-trivial reasoning about the corresponding stochastic systems. Here, we present an open-source PyTorch-based toolkit for the use of stochastic control techniques in modelling interconnections of AI systems and properties of their repeated uses. It models robustness and fairness desiderata in a closed-loop fashion, and provides {em a priori/} guarantees for these interconnections. The PyTorch-based toolkit removes much of the complexity associated with the provision of fairness guarantees for closed-loop models of multi-agent systems.