针对行人轨迹预测中存在的时序特征建模不足、多尺度融合缺乏明确区分以及多任务训练不稳定等问题,提出一种基于矩阵记忆长短期记忆网络(matrix long short-term memory, mLSTM)的纯时序预测算法。该算法构建以mLSTM为核心的编码器-解...针对行人轨迹预测中存在的时序特征建模不足、多尺度融合缺乏明确区分以及多任务训练不稳定等问题,提出一种基于矩阵记忆长短期记忆网络(matrix long short-term memory, mLSTM)的纯时序预测算法。该算法构建以mLSTM为核心的编码器-解码器架构,挖掘轨迹的时间依赖特征;设计多尺度轨迹特征融合模块,采用双向策略实现短期与长期特征的层次化表达;引入指数移动平均标准化的多任务机制,提升训练的稳定性与模型的泛化能力。在ETH和UCY数据集上的实验结果表明,该算法相较于Trajectory-Transformer和SGCN,在平均位移误差上分别降低14.81%和16.21%,在最终位移误差上分别降低19.66%和4.62%,展现出良好的预测精度与鲁棒性,为行人轨迹预测提供稳健有效的基础模型。展开更多
The message blinding method is the most efficient and secure countermeasure against first-order differential power analysis(DPA).Although cross correlation attacks(CCAs) were given for defeating message blinding metho...The message blinding method is the most efficient and secure countermeasure against first-order differential power analysis(DPA).Although cross correlation attacks(CCAs) were given for defeating message blinding methods,however searching for correlation points is difficult for noise,misalignment in practical environment.In this paper,we propose an optimized cross correlation power attack for message blinding exponentiation algorithms.The attack method can select the more correlative power points of share one operation in the modular multiplication by comparing variances between correlation coefficients.Further we demonstrate that the attack method is more efficient in experiments with hardware implementation of RSA on a crypto chip card.In addition to the proposed CCA method can recovery all 1024 bits secret key and recognition rate increases to 100%even when the recorded signals are noisy.展开更多
In this paper,we study the uniqueness of positive solutions to the following semilinear equations{-Δu=λ|x|^(α)ue^(u^(2)),in B_(1),u=0,onδB_(1)ueu2;in B_(1);u=0;on@B_(1);whereλ>0,α>-2;B_(1)denotes the unit ...In this paper,we study the uniqueness of positive solutions to the following semilinear equations{-Δu=λ|x|^(α)ue^(u^(2)),in B_(1),u=0,onδB_(1)ueu2;in B_(1);u=0;on@B_(1);whereλ>0,α>-2;B_(1)denotes the unit disk in R^(2):By delicate and relatively complicated computation of radial solutions to the above equation and the asymptotic expansion of solutions near the boundary of B_(1),the uniqueness of positive solutions is obtained.The results of this paper extend the uniqueness result for the semilinear equation with critical exponential growth in CHEN et al.(2022)to the case that includes a Henon term.展开更多
滑坡预警预报是滑坡研究的热点和难点。速度倒数模型的简捷性和有效性使之成为广泛使用的临滑预报模型。滑坡变形加速开始点(Onset of Acceleration)直接影响到速度倒数模型的预报精度。本文基于经济学领域广泛使用的指数移动平均线,提...滑坡预警预报是滑坡研究的热点和难点。速度倒数模型的简捷性和有效性使之成为广泛使用的临滑预报模型。滑坡变形加速开始点(Onset of Acceleration)直接影响到速度倒数模型的预报精度。本文基于经济学领域广泛使用的指数移动平均线,提出了准确识别滑坡变形加速开始点的方法:(1)将滑坡速度绝对值化;(2)定义趋势变化指数ω,利用滑动时间窗口法,识别滑坡加速趋势区;(3)对加速趋势区进行速度倒数线性拟合,根据线性拟合的相关性系数,识别滑坡加速变形开始点。在此基础上,以云南省区布嘎渐变型滑坡为例,对模型识别出的OOA点准确性进行了验证,结果表明:利用本文提出的方法,可准确识别渐变型滑坡的OOA点,利用识别的OOA点对后续数据进行线性回归,其相关性系数在0.8以上,预测误差在4 d以下,显示出较好的预测结果。展开更多
A novel aperiodically intermittent impulse control(AIIC)method is proposed to investigate the exponential synchronization in mean square(ESMS)of a class of impulsive stochastic infinite-dimensional systems with Poisso...A novel aperiodically intermittent impulse control(AIIC)method is proposed to investigate the exponential synchronization in mean square(ESMS)of a class of impulsive stochastic infinite-dimensional systems with Poisson jumps(ISIDSP).The AIIC control strategy inherits the flexibility of aperiodically intermittent control,including the variable control period,adjustable control interval length,and the discretization of impulsive control.In addition,this article introduces a novel mild Itô's formula.By leveraging semigroup theory,the contraction mapping principle,and graph theory,along with constructing the Lyapunov function,the criterion for the existence and uniqueness of a mild solution of ISIDSP is thereby established.Furthermore,the mean-square exponential synchronization problem of the above systems is resolved,and the constraints within the mild solution domain are alleviated.These criteria clarify the impact of control parameters,control intervals and network topology on ESMS.The theoretical results are subsequently applied to a class of neural networks with reaction-diffusion processes,and the validity of the results is verified using numerical simulations.展开更多
A model for dynamic frictionless contact between a viscoelastic body and foundation is considered.The viscoelastic constitutive law is assumed to be nonlinear and the contact is modelled with the normal compliance con...A model for dynamic frictionless contact between a viscoelastic body and foundation is considered.The viscoelastic constitutive law is assumed to be nonlinear and the contact is modelled with the normal compliance condition.We obtain the well-posedness using nonlinear semigroup theory arguments.Moreover,the exponential stability result of the solution is shown by using the energy method to produce a suitable Lyapunov function.展开更多
文摘针对行人轨迹预测中存在的时序特征建模不足、多尺度融合缺乏明确区分以及多任务训练不稳定等问题,提出一种基于矩阵记忆长短期记忆网络(matrix long short-term memory, mLSTM)的纯时序预测算法。该算法构建以mLSTM为核心的编码器-解码器架构,挖掘轨迹的时间依赖特征;设计多尺度轨迹特征融合模块,采用双向策略实现短期与长期特征的层次化表达;引入指数移动平均标准化的多任务机制,提升训练的稳定性与模型的泛化能力。在ETH和UCY数据集上的实验结果表明,该算法相较于Trajectory-Transformer和SGCN,在平均位移误差上分别降低14.81%和16.21%,在最终位移误差上分别降低19.66%和4.62%,展现出良好的预测精度与鲁棒性,为行人轨迹预测提供稳健有效的基础模型。
基金supported in part by National Natural Science Foundation of China Project(Grant No.60873216) Scientific and Technological Research Priority Projects of Sichuan Province(Grant No. 2012GZ0017)
文摘The message blinding method is the most efficient and secure countermeasure against first-order differential power analysis(DPA).Although cross correlation attacks(CCAs) were given for defeating message blinding methods,however searching for correlation points is difficult for noise,misalignment in practical environment.In this paper,we propose an optimized cross correlation power attack for message blinding exponentiation algorithms.The attack method can select the more correlative power points of share one operation in the modular multiplication by comparing variances between correlation coefficients.Further we demonstrate that the attack method is more efficient in experiments with hardware implementation of RSA on a crypto chip card.In addition to the proposed CCA method can recovery all 1024 bits secret key and recognition rate increases to 100%even when the recorded signals are noisy.
基金Supported by the Natural Science Foundation of China(12571122,12061010)。
文摘In this paper,we study the uniqueness of positive solutions to the following semilinear equations{-Δu=λ|x|^(α)ue^(u^(2)),in B_(1),u=0,onδB_(1)ueu2;in B_(1);u=0;on@B_(1);whereλ>0,α>-2;B_(1)denotes the unit disk in R^(2):By delicate and relatively complicated computation of radial solutions to the above equation and the asymptotic expansion of solutions near the boundary of B_(1),the uniqueness of positive solutions is obtained.The results of this paper extend the uniqueness result for the semilinear equation with critical exponential growth in CHEN et al.(2022)to the case that includes a Henon term.
文摘滑坡预警预报是滑坡研究的热点和难点。速度倒数模型的简捷性和有效性使之成为广泛使用的临滑预报模型。滑坡变形加速开始点(Onset of Acceleration)直接影响到速度倒数模型的预报精度。本文基于经济学领域广泛使用的指数移动平均线,提出了准确识别滑坡变形加速开始点的方法:(1)将滑坡速度绝对值化;(2)定义趋势变化指数ω,利用滑动时间窗口法,识别滑坡加速趋势区;(3)对加速趋势区进行速度倒数线性拟合,根据线性拟合的相关性系数,识别滑坡加速变形开始点。在此基础上,以云南省区布嘎渐变型滑坡为例,对模型识别出的OOA点准确性进行了验证,结果表明:利用本文提出的方法,可准确识别渐变型滑坡的OOA点,利用识别的OOA点对后续数据进行线性回归,其相关性系数在0.8以上,预测误差在4 d以下,显示出较好的预测结果。
基金supported in part by the National Natural Science Foundation of China(12471422,62573274,12371173)the Natural Science Foundation of Shandong Province of China(ZR2022LLZ003,ZR2024MF001)the Funding for Visiting Studies and Research by Teachers in Ordinary Undergraduate Colleges and Universities in Shandong Province。
文摘A novel aperiodically intermittent impulse control(AIIC)method is proposed to investigate the exponential synchronization in mean square(ESMS)of a class of impulsive stochastic infinite-dimensional systems with Poisson jumps(ISIDSP).The AIIC control strategy inherits the flexibility of aperiodically intermittent control,including the variable control period,adjustable control interval length,and the discretization of impulsive control.In addition,this article introduces a novel mild Itô's formula.By leveraging semigroup theory,the contraction mapping principle,and graph theory,along with constructing the Lyapunov function,the criterion for the existence and uniqueness of a mild solution of ISIDSP is thereby established.Furthermore,the mean-square exponential synchronization problem of the above systems is resolved,and the constraints within the mild solution domain are alleviated.These criteria clarify the impact of control parameters,control intervals and network topology on ESMS.The theoretical results are subsequently applied to a class of neural networks with reaction-diffusion processes,and the validity of the results is verified using numerical simulations.
文摘A model for dynamic frictionless contact between a viscoelastic body and foundation is considered.The viscoelastic constitutive law is assumed to be nonlinear and the contact is modelled with the normal compliance condition.We obtain the well-posedness using nonlinear semigroup theory arguments.Moreover,the exponential stability result of the solution is shown by using the energy method to produce a suitable Lyapunov function.
