Abstract:Robot navigation in safety-critical scenarios faces significant challenges from unforeseen semantic events, where collisions arise primarily from the unpredictable behaviors of dynamic agents rather than unseen objects. While large vision-language models (VLMs) offer remarkable capabilities in commonsense reasoning, frequently invoking them within the continuous control loop introduces severe computational latency, fundamentally destabilizing physical execution. To address these challenges, we propose event-adaptive motion planning (EAMP), an efficient framework for VLM-based robot navigation. Specifically, a prompt-configurable semantic event trigger (PC-SET) selectively activates semantic intervention by continuously monitoring short temporal clips for behavioral anomalies. Upon triggering, an event-triggered distilled SemNav-VLM, fine-tuned via physically verified semantic distillation, maps detected anomalies into discrete strategy-level decisions. Subsequently, a semantic model predictive control (SMPC) module translates these strategies into dynamic reconfigurations of optimization objectives and geometric references. Extensive experiments in safety-critical logistics scenarios demonstrate that EAMP effectively aligns high-level reasoning with low-level control, significantly improving dynamic safety margins over existing baselines while preserving real-time efficiency.
Abstract:In recent years, federated learning has garnered significant attention as an efficient and privacy-preserving distributed learning paradigm. In the Euclidean setting, Federated Averaging (FedAvg) and its variants are a class of efficient algorithms for expected (empirical) risk minimization. This paper develops and analyzes a Riemannian Federated Averaging Gradient Stream (RFedAGS) algorithm, which is a generalization of FedAvg, to problems defined on a Riemannian manifold. Under standard assumptions, the convergence rate of RFedAGS with fixed step sizes is proven to be sublinear for an approximate stationary solution. If decaying step sizes are used, the global convergence is established. Furthermore, assuming that the objective obeys the Riemannian Polyak-{\L}ojasiewicz property, the optimal gaps generated by RFedAGS with fixed step size are linearly decreasing up to a tiny upper bound, meanwhile, if decaying step sizes are used, then the gaps sublinearly vanish. Numerical simulations conducted on synthetic and real-world data demonstrate the performance of the proposed RFedAGS.