This paper focuses on the continuity of the truncated Hardy-Littlewood maximal function.We first show that the truncated Hardy-Littlewood maximal function is lower semi-continuous.Then by investigating the behavior of...This paper focuses on the continuity of the truncated Hardy-Littlewood maximal function.We first show that the truncated Hardy-Littlewood maximal function is lower semi-continuous.Then by investigating the behavior of the truncated Hardy-Littlewood maximal function when the truncated parameterγchanges,we obtain an equivalent condition of the continuity of the truncated Hardy-Littlewood maximal function.展开更多
The problems of stability and stabilization for the discrete Takagi-Sugeno（T-S） fuzzy time-delay system are investigated.By constructing a discrete piecewise Lyapunov-Krasovskii function（PLKF） in each maximal over...The problems of stability and stabilization for the discrete Takagi-Sugeno（T-S） fuzzy time-delay system are investigated.By constructing a discrete piecewise Lyapunov-Krasovskii function（PLKF） in each maximal overlapped-rules group（MORG）,a new sufficient stability condition for the open-loop discrete T-S fuzzy time-delay system is proposed and proved.Then the systematic design of the fuzzy controller is investigated via the parallel distributed compensation control scheme,and a new stabilization condition for the closed-loop discrete T-S fuzzy time-delay system is proposed.The above two sufficient conditions only require finding common matrices in each MORG.Compared with the common Lyapunov-Krasovskii function（CLKF） approach and the fuzzy Lyapunov-Krasovskii function（FLKF） approach,these proposed sufficient conditions can not only overcome the defect of finding common matrices in the whole feasible region but also largely reduce the number of linear matrix inequalities to be solved.Finally,simulation examples show that the proposed PLKF approach is effective.展开更多
在连续且密集奖励的任务中,离线强化学习取得了显著的效果.然而由于其训练过程不与环境交互,泛化能力降低,在离散且稀疏奖赏的环境下性能难以得到保证.扩散模型通过加噪结合样本数据邻域的信息,生成贴近样本数据分布的动作,强化智能体...在连续且密集奖励的任务中,离线强化学习取得了显著的效果.然而由于其训练过程不与环境交互,泛化能力降低,在离散且稀疏奖赏的环境下性能难以得到保证.扩散模型通过加噪结合样本数据邻域的信息,生成贴近样本数据分布的动作,强化智能体的学习和泛化能力.针对以上问题,提出一种扩散模型期望最大化的离线强化学习方法(offline reinforcement learning with diffusion models and expectation maximization,DMEM).该方法通过极大似然对数期望最大化更新目标函数,使策略具有更强的泛化性.将扩散模型引入策略网络中,利用扩散的特征,增强策略学习数据样本的能力.同时从高维空间的角度看期望回归更新价值函数,引入一个惩戒项使价值函数评估更准确.将DMEM应用于一系列离散且稀疏奖励的任务中,实验表明,与其他经典的离线强化学习方法相比,DMEM性能上具有较大的优势.展开更多
目的观察心气虚证冠心病(Coronary heart disease,CHD)患者的认知功能和心脑电耦合特点,探究二者的关联。方法纳入符合心气虚证和CHD诊断标准的患者30例,同时纳入30例非心气虚证、非CHD志愿者作为对照组。使用可重复成套神经心理状态评...目的观察心气虚证冠心病(Coronary heart disease,CHD)患者的认知功能和心脑电耦合特点,探究二者的关联。方法纳入符合心气虚证和CHD诊断标准的患者30例,同时纳入30例非心气虚证、非CHD志愿者作为对照组。使用可重复成套神经心理状态评定量表(Repeatable battery for the assessment of neuropsychological status,RBANS)对两组被试进行认知能力测试,记录两组被试的静息状态心电和脑电信号,计算心脑电之间的最大信息系数(Maximal information coefficient,MIC)值来量化心脑耦合程度。结果心气虚证CHD患者的RBANS总分和即时记忆、视觉空间/构造能力和注意力领域得分较低,心气虚证CHD患者组和对照组在一些通道上心率变异性(Heart rate variability,HRV)-脑电图的MIC值存在显著差异(P<0.05),FC1通道上HRV-Beta和F2通道上HRV-Delta的MIC值与RBANS总分呈显著正相关(P<0.05)。结论心气虚证CHD患者的认知功能下降,心脑耦合程度发生改变。心脑相互作用可能有助于更好地理解该人群认知功能下降的病理机制。展开更多
针对支持网络功能虚拟化的移动边缘计算网络中,移动用户的数据流请求通常需要经过由前向和后向服务功能链(Service Function Chain,SFC)共同组成的混合服务功能链(Hybrid SFC,H-SFC)进行处理.首先联合考虑移动用户的位置逗留概率及网络...针对支持网络功能虚拟化的移动边缘计算网络中,移动用户的数据流请求通常需要经过由前向和后向服务功能链(Service Function Chain,SFC)共同组成的混合服务功能链(Hybrid SFC,H-SFC)进行处理.首先联合考虑移动用户的位置逗留概率及网络资源约束,以最大化网络吞吐量为目标定义了移动用户的H-SFC部署问题,利用整数线性规划对该问题建模.然后设计了一个动态辅助边权图,以保证H-SFC的顺序需求,部署最少的H-SFC覆盖最多的移动逗留位置为目标,提出了由H-SFC预部署和H-SFC调整两个子算法构成的移动感知混合服务功能链部署算法(Mobility-Aware H-SFC Deployment Algorithm,MA-HSFC-DA)对原问题进行求解.仿真结果表明,与其它算法相比,MA-HSFC-DA可以显著提高网络资源的利用率,获得更高的流接受率和网络吞吐量.展开更多
基金Supported by NSF of Zhejiang Province of China(LQ18A010002,LQ17A010002)。
文摘This paper focuses on the continuity of the truncated Hardy-Littlewood maximal function.We first show that the truncated Hardy-Littlewood maximal function is lower semi-continuous.Then by investigating the behavior of the truncated Hardy-Littlewood maximal function when the truncated parameterγchanges,we obtain an equivalent condition of the continuity of the truncated Hardy-Littlewood maximal function.
基金supported in part by the Scientific Research Project of Heilongjiang Province Education Bureau(12541200)
文摘The problems of stability and stabilization for the discrete Takagi-Sugeno（T-S） fuzzy time-delay system are investigated.By constructing a discrete piecewise Lyapunov-Krasovskii function（PLKF） in each maximal overlapped-rules group（MORG）,a new sufficient stability condition for the open-loop discrete T-S fuzzy time-delay system is proposed and proved.Then the systematic design of the fuzzy controller is investigated via the parallel distributed compensation control scheme,and a new stabilization condition for the closed-loop discrete T-S fuzzy time-delay system is proposed.The above two sufficient conditions only require finding common matrices in each MORG.Compared with the common Lyapunov-Krasovskii function（CLKF） approach and the fuzzy Lyapunov-Krasovskii function（FLKF） approach,these proposed sufficient conditions can not only overcome the defect of finding common matrices in the whole feasible region but also largely reduce the number of linear matrix inequalities to be solved.Finally,simulation examples show that the proposed PLKF approach is effective.
文摘在连续且密集奖励的任务中,离线强化学习取得了显著的效果.然而由于其训练过程不与环境交互,泛化能力降低,在离散且稀疏奖赏的环境下性能难以得到保证.扩散模型通过加噪结合样本数据邻域的信息,生成贴近样本数据分布的动作,强化智能体的学习和泛化能力.针对以上问题,提出一种扩散模型期望最大化的离线强化学习方法(offline reinforcement learning with diffusion models and expectation maximization,DMEM).该方法通过极大似然对数期望最大化更新目标函数,使策略具有更强的泛化性.将扩散模型引入策略网络中,利用扩散的特征,增强策略学习数据样本的能力.同时从高维空间的角度看期望回归更新价值函数,引入一个惩戒项使价值函数评估更准确.将DMEM应用于一系列离散且稀疏奖励的任务中,实验表明,与其他经典的离线强化学习方法相比,DMEM性能上具有较大的优势.
文摘目的观察心气虚证冠心病(Coronary heart disease,CHD)患者的认知功能和心脑电耦合特点,探究二者的关联。方法纳入符合心气虚证和CHD诊断标准的患者30例,同时纳入30例非心气虚证、非CHD志愿者作为对照组。使用可重复成套神经心理状态评定量表(Repeatable battery for the assessment of neuropsychological status,RBANS)对两组被试进行认知能力测试,记录两组被试的静息状态心电和脑电信号,计算心脑电之间的最大信息系数(Maximal information coefficient,MIC)值来量化心脑耦合程度。结果心气虚证CHD患者的RBANS总分和即时记忆、视觉空间/构造能力和注意力领域得分较低,心气虚证CHD患者组和对照组在一些通道上心率变异性(Heart rate variability,HRV)-脑电图的MIC值存在显著差异(P<0.05),FC1通道上HRV-Beta和F2通道上HRV-Delta的MIC值与RBANS总分呈显著正相关(P<0.05)。结论心气虚证CHD患者的认知功能下降,心脑耦合程度发生改变。心脑相互作用可能有助于更好地理解该人群认知功能下降的病理机制。
