Random-Priority Frontier Routing: Tight $Θ(n^c)$ Bounds Against $c$-Node Cartels
研究通过随机优先级边界路由方法解决在信任节点网络中路径多样化问题,以抵御c个节点组成的卡特尔攻击。
研究通过随机优先级边界路由方法解决在信任节点网络中路径多样化问题,以抵御c个节点组成的卡特尔攻击。
本文解决了证书复杂度与近似度之间关系的问题,通过构造特定布尔函数族证明了证书复杂度可以比近似度大四次方,改进了之前的结果。
本文提出了一种超富集俱乐部分析方法,通过超边编码高阶交互作用来检测复杂网络中的结构,适用于广义有向超图。
This work addresses the challenges of high inference cost, deployment difficulty, and opaque decision-making in deep reinforcement learning for power grid topology control. The authors propose a stress-focused data collection strategy to train a Proximal Policy Optimization (PPO) teacher model and, for the first time, distill it into interpretable, lightweight agents—specifically decision trees and random forests—targeting high-load critical states. The distilled models not only surpass the original PPO policy in average reward and survival duration while significantly reducing inference overhead, but also maintain highly consistent action outputs, enabling human auditability. Furthermore, the study reveals fundamental differences in feature dependencies between neural policies and tree-based models, achieving a balanced trade-off among performance, real-time responsiveness, and interpretability.
This work investigates the classical simulability of the Quantum Approximate Optimization Algorithm (QAOA) under varying degrees of interaction graphs to delineate the boundary of its quantum advantage. Focusing on QAOA with two-local cost functions, the study integrates computational complexity theory, quantum sampling analysis, and graph-theoretic techniques to establish a sharp threshold between graph degrees 2 and 3. It demonstrates that for degree-2 graphs and circuit depth O(log n), an n-qubit QAOA instance admits efficient exact classical sampling. In contrast, for degree-3 graphs—even when the cost function is trivially optimizable—approximate sampling would imply a collapse of the polynomial hierarchy to its third level, indicating computational hardness for classical simulation. This result precisely characterizes the complexity boundary for classically simulating QAOA.
研究通过随机优先级边界路由方法解决在信任节点网络中路径多样化问题,以抵御c个节点组成的卡特尔攻击。
本文解决了证书复杂度与近似度之间关系的问题,通过构造特定布尔函数族证明了证书复杂度可以比近似度大四次方,改进了之前的结果。
本文提出了一种超富集俱乐部分析方法,通过超边编码高阶交互作用来检测复杂网络中的结构,适用于广义有向超图。
This work addresses the challenges of high inference cost, deployment difficulty, and opaque decision-making in deep reinforcement learning for power grid topology control. The authors propose a stress-focused data collection strategy to train a Proximal Policy Optimization (PPO) teacher model and, for the first time, distill it into interpretable, lightweight agents—specifically decision trees and random forests—targeting high-load critical states. The distilled models not only surpass the original PPO policy in average reward and survival duration while significantly reducing inference overhead, but also maintain highly consistent action outputs, enabling human auditability. Furthermore, the study reveals fundamental differences in feature dependencies between neural policies and tree-based models, achieving a balanced trade-off among performance, real-time responsiveness, and interpretability.
This work investigates the classical simulability of the Quantum Approximate Optimization Algorithm (QAOA) under varying degrees of interaction graphs to delineate the boundary of its quantum advantage. Focusing on QAOA with two-local cost functions, the study integrates computational complexity theory, quantum sampling analysis, and graph-theoretic techniques to establish a sharp threshold between graph degrees 2 and 3. It demonstrates that for degree-2 graphs and circuit depth O(log n), an n-qubit QAOA instance admits efficient exact classical sampling. In contrast, for degree-3 graphs—even when the cost function is trivially optimizable—approximate sampling would imply a collapse of the polynomial hierarchy to its third level, indicating computational hardness for classical simulation. This result precisely characterizes the complexity boundary for classically simulating QAOA.