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The Modular Inversion Hidden Number Problem (MIHNP), which was proposed at Asiacrypt 2001 by Boneh, Halevi, and Howgrave-Graham, is summarized as follows: Assume that the $\delta $ most significant bi...
By utilizing the so-called Doss–Sussman transformation, we link our stochastic 3D Burgers equation with linear multiplicative noise to a random 3D Burger equation. With the help of techniques from par...
In this paper, we study the large-scale boundary regularity for the Stokes system in periodically oscillating John domains. Our main contribution is the construction of boundary layer correctors of ar...
A line search penalty-free sequential quadratic programming method is proposed for nonlinear equality-constrained optimization. Generally, feasible directions are used to minimize the measurement of t...
考虑Pythagorean模糊数在应用领域的优越性和广泛性,提出一种Pythagorean模糊非线性规划模型,并研究其在模糊多属性群决策中的应用。提出一种基于Pythagorean模糊非线性规划的群决策专家权重模型和属性权重模型,给出一种Pythagorean模糊非线性规划的模糊多属性群决策方法,并以航空公司机型选择为例说明了该方法的可行性和有效性。
在确定海平面上升速率时,传统方法是利用最小二乘拟合获取特定时间段内的平均速率.事实上,由于海平面是一种非稳态变化,其速率随着时间变化.本文使用集成经验模态分解获取海平面变化在2002-2014年间的非线性趋势,然后通过三次样条函数平滑拟合非线性趋势得到连续的一阶导数,即为海平面变化的瞬时速率.结果表明,全球平均海平面的瞬时速率先降后升:从2002的2.7 mm·a-1缓慢下降至2010年的2.5 ...
微观结构对复合材料的宏观力学性能具有至关重要的影响, 通过合理设计复合材料微观结构可以得到期望的宏观性能. 均质化方法作为一种有效的设计方法, 它从微观结构的角度出发, 利用均匀化的概念, 实现了对复合材料宏观力学性能的预测和设计. 而当考虑非线性因素, 均质化的实现就非常困难. 本文利用双渐近展开方法, 将位移按照宏观位移和微观位移展开, 推导了非线性弹性均质化方程. 通过直接迭代法, 对非线性...
本文综述了具有幂次非线性或耗散形式的非线性 4 阶薛定谔方程小振幅解的全局存在性和渐近行为的一些最新研究结果.考虑了散射问题的超临界非线性和临界非线性情况.
We point out some connections between applications of semidefinite programming in control and in combinatorial optimization. In both fields semidefinite programs arise as convex relaxations of NP-hard...
We consider the design of finite impulse response (FIR) filters subject to upper and lower bounds on the frequency response magnitude. The associated optimization problems, with the filter coefficient...
Since 1984 there has been a concentrated effort to develop efficient interior-point methods for linear programming (LP). In the last few years researchers have begun to appreciate a very important pro...
Convex programming is a subclass of nonlinear programming (NLP) that unifies and generalizes least squares (LS), linear programming (LP), and convex quadratic programming (QP). It has become quite pop...
This paper derives several properties unique to nonlinear model hypothesis testing problems involving linear or nonlinear inequality constraints in the null or alternative hypothesis. The paper is...
In this thesis we study the central limit theorem (CLT) for nonuniformly hy- perbolic dynamical systems. We examine cases in which polynomial decay of cor- relations leads to a CLT with a non-standard...
提出一种融合高斯过程回归(GPR) 的无模型容积卡尔曼滤波(MF-CKF) 方法. 容积卡尔曼滤波(CKF) 是一种新的非线性高斯滤波方法, 比无迹卡尔曼滤波(UKF) 更具优势. 为了克服建模不准确时容积卡尔曼滤波精度下降问题, 通过将高斯过程回归引入到容积卡尔曼滤波之中, 对训练数据学习建立系统非线性模型, 从而有效地避免模型不准确造成的滤波性能下降. 仿真结果验证了无模型容积卡尔曼滤波在系统...

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