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Low rank orthogonal tensor approximation (LROTA) is an important problem in tensor computations and their applications. A classical and widely used algorithm is the alternating polar decomposition met...
为解决现阶段园林绿化企业目标成本测算过程未充分考虑项目特色、测算结果误差较大、不具备实际指导意义的问题,在园林绿化项目工作分解结构的基础上,结合粗糙集和支持向量机理论构建园林绿化项目目标成本测算模型。模型首先采用粗糙集理论对园林绿化项目工作包的成本影响因素进行约简,并依据约简属性集从实例库中抽取样本数据;然后,通过支持向量机的回归估计测算出园林绿化项目的目标成本;最后,以某园林绿化企业的绿化种植工...
本文研究了一类非光滑半无限多目标优化问题,并讨论它的鞍点准则.首先,定义了这类半无限多目标优化问题的标量和向量情形的Lagrange函数和鞍点;其次,分别讨论了标量和向量情形的鞍点准则的必要性;最后,在非光滑(Φ,ρ)-不变凸性假设下给出这两种情形的鞍点准则的充分性.
We consider a process on a compact two-dimensional surface which consists of the fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise t...
We consider the problem of learning a coefficient vector x0 ∈ RN from noisy linear observation y = Ax0 + w ∈ Rn. In many contexts (ranging from model selection to image processing) it is desirable to...
行人检测是当前计算机视觉领域的挑战性课题之一.本文提出一种基于后验HOG特征的多姿态行人检测方法.首先,统计全部行人样本的梯度特征能量共性信息,对单个行人样本的HOG特征进行加权获得能够表现行人边缘轮廓的后验HOG特征,有效减少复杂背景的影响.其次,利用S-Isomap特征降维方法和K-means聚类方法对不同姿态和视角的行人做子类划分,并针对每一个子类训练子类分类器.最后,根据多个不同姿态的子类...
支持向量机(support vector machine,SVM)的参数选择对其性能有着重要的影响,使用穷举法优化参数需要大量的计算时间.为快速寻找最优参数组合,利用粒子群算法(particle swarm optimization,PSO)收敛速度快、简单易行等特点,将SVM参数作为粒子的解决方案.并利用图形处理器(graphics processing unit,GPU)并行化处理能力计算每个...
By proving an integral formula of the curvature tensor of E⊗detE, we observe that the curvature of E⊗detE is very similar to that of a line bundle and obtain certain new Kodaira-Akizuki-Na...
We study open point sets in Euclidean spaces $\mathbb{R}^d$ without a pair of points an integral distance apart. By a result of Furstenberg, Katznelson, and Weiss such sets must be of Lebesgue upper d...
Abstract: Let $\Gamma$ be a discrete group acting by isometries on a product $X=X_1\times X_2$ of Hadamard spaces. We further require that $X_1$, $X_2$ are locally compact and $\Gamma$ contains two el...
Abstract: In the present paper, we apply Alexandrov geometry methods to study geometric analysis aspects of infinite semiplanar graphs with nonnegative combinatorial curvature in the sense of Higuchi....
Abstract: We study normed groupoids with dilations and their induced deformations.
Abstract: This is a pedagogical introduction covering maps of metric spaces, Gromov-Hausdorff distance and its "physical" meaning, and dilation structures as a convenient simplification of an exhausti...
Abstract: In 1980, V.I. Arnold studied the classification problem for convex lattice polygons of given area. Since then this problem and its analogues have been studied by B'ar'any, Pach, Vershik, Liu...
Abstract: The assignment of the conjugate face is a natural mapping associated to a convex body and its polar convex body. We study its restriction to non-exposed faces. Conjugate faces of non-exposed...

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