基于子空间流形的仿射光照不变形状识别

目标在成像过程中发生的几何变形在更多情形时用仿射变换来刻画,光照变化也是影响目标识别的重要因素.在一种典型的简化的光照变化约束下,将光照的灰度线性变化融入目标的几何变形,基于子空间流形理论,提出了仿射光照不变形状空间概念,分析了仿射光照不变形状空间的非线性几何结构,给出了仿射光照不变形状识别算法,模拟图像和真实图像序列实验验证了算法的有效性,该几何框架为研究几何和光照变化下的目标识别提供了新的途径.

子空间分布自适应的传感器在线漂移补偿算法

传感器漂移补偿方法针对电子鼻系统中气体传感器的输出响应随使用时间延伸发生改变,进而导致气体识别准确率下降这一问题提出,大多针对离线场景,在实际应用中存在定期进行系统人工校正所造成的成本高耗时长等困难。因此,本文提出了一种子空间分布自适应的传感器在线漂移补偿算法。算法通过构造测地线核将原始样本与漂移样本嵌入到流形子空间,然后引入条件分布自适应和流形正则化以减小样本特征的分布差异,并利用结构风险最小化原则构建分类器。分类模型的在线更新通过将每轮分类后获得预测标签的漂移样本引入到下一轮的模型训练过程中以实现。在公开数据集上进行漂移补偿实验,结果表明,提出的算法提高了漂移样本的分类准确率,有效地实现了传感器的在线漂移补偿。

基于Sinkhorn距离特征缩放的多约束非负矩阵分解算法

为了减少原始特征对非负矩阵分解(NMF)算法的共适应性干扰,并提高NMF的子空间学习能力与聚类性能,该文提出一种基于Sinkhorn距离特征缩放的多约束半监督非负矩阵分解算法。首先该算法通过Sinkhorn距离对原始输入矩阵进行特征缩放,提高空间内同类数据特征之间的关联性,然后结合样本标签信息的双图流形结构与范数稀疏约束作为双正则项,使分解后的基矩阵具有稀疏特性和较强的空间表达能力,最后,通过KKT条件对所提算法目标函数的进行优化推导,得到有效的乘法更新规则。通过在多个图像数据集以及平移噪声数据上的聚类实验结果对比分析,该文所提算法具有较强的子空间学习能力,且对平移噪声有更强的鲁棒性。

Some Inequalities for Submanifolds in Cosymplectic Space Forms

For submanifolds in a cosymplectic space form tangent to the structure vector field ξ, two important inequalities with Ricci curvature, scalar curvature and the squared mean curvature are obtained. These results are also applied to get corresponding consequences for anti-invariant submanifolds.

Totally Real Minimal Submanifolds in a Quaternion Projective Space

Some curvature pinching theorems for compact or complete totally real minimal submanifolds in a quaternion projective space are given,so that the corresponding results due to B. Y.Chen and C. S. Houh as well as Y. B. Shen are improved and generalized.

A Remark on Concircularly Flat Totally Real Minimal Submanifolds in CP^n

Let M be a concircularly fiat totally real minimal submanifold in CP4. The infimum Vm of the volume V （M） of M is obtained, also the necessary and sufficient conditions of ＂V（M）=Vm＂ is given.

On Two Conjectures Concerning the Veronese Generating submanifolds

The notion of finite type submanifolds was introduced by B. Y. Chen. In this paper the conjectures on scalar curvature of Veronese generating submanifolds in E~σ and the minimal conjecture on Veronese space-like submanifold Σ and Veronese pseudo-Riemannian submanifold in E_1~σ are proved. We have Σ is minimal in H^5. is minimal in S_1~5, Σ and are of 1-type in E_1~σ.

Complete Space-like Submanifolds with Constant Scalar Curvature in de Sitter Spaces

In this paper,we study the complete space-like submanifold Mn with constant scalar curvature R≤c in the de Sitter space Spn+p(c) and obtain a pinching condition for Mn to be totally umbilical ones.The result generalizes that in [5,Main Theorem] to higher codimension and give a complement for n=2 there.

Remarks on the Veronese Generating Submanifolds in Minkoski Space

In this paper,the minimal conjecture on the Veronese Generating submanifolds in S(1)5 is generalized to minmal submanifolds in Sm. Two classes of the Generating submanifolds of spherical minimal submanifolds in Minkowski space are respectively space-like Minimal submanifolds of Hyperbolic space and pseudo-Rie-mannian Minimal submanifolds of pseudo-Riemannian sphere and they are of 1-type submanifolds in Minkowski space is proved.

2-Harmonic Totally Real Submanifolds in a Complex Projective Space

In this paper, we discuss the relations between the 2-harmornic totally real submsnifold and the minimal totall real submanifold in the complex protective spsace, and obtain the pinching conductions for the second fundamental form and the Rieci curature of the 2-harmornic totally real submanifold in the complex projective space.

Finite Type Non-Minimal Submanifolds

The notion of finite type submanifolds was introduced by B. Y. Chen. In this paper we consider the characteristics and the classifications of finite type non-minimal submanifolds. The characteristic theorems of 2-type Chen submanifolds,mass-symmetrie hypersurfaces and Dupin hypersurfaces in E_3~m are obtained. The classification theorems of 3-type hypersurfaces and null 2-type curves in E_3~m are also proved.

Rigidity Theorems for Hypersurfaces in Real Space Form

In this paper, a rigidity theorem of hypersurface in real space form will be given. In addition, we obtain rigidity theorems of submanifold in sphere which improve the result of Hou and Xu.

Regular Submanifolds in Conformal Space Q_p^n

The authors study the regular submanifolds in the conformal space Qp^n and introduce the submanifold theory in the conformal space Qp^n. The first variation formula of the Willmore volume functional of pseudo-Riemannian submanifolds in the conformal space Qp^n is given. Finally, the conformal isotropic submanifolds in the conformal space

Mbius geometry of three-dimensional Wintgen ideal submanifolds in S^5

Wintgen ideal submanifolds in space forms are those ones attaining equality at every point in the socalled DDVV inequality which relates the scalar curvature,the mean curvature and the normal scalar curvature.This property is conformal invariant;hence we study them in the framework of Mbius geometry,and restrict to three-dimensional Wintgen ideal submanifolds in S5.In particular,we give Mbius characterizations for minimal ones among them,which are also known as(3-dimensional)austere submanifolds(in 5-dimensional space forms).

Moduli spaces of model real submanifolds:Two alternative approaches

Abstract Instead of the invariant theory approach employed by Beloshapka and Mamai for constructing the moduli spaces of Beloshapka＇s universal Cauchy-Riemann （CR） models, we consider two alternative approaches borrowed from the theories of equivalence problem and Lie symmetries, each of which having its own advan- tages. Also the moduli space M（1, 4） associated to the class of universal CR models of CR dimension 1 and codimension 4 is computed by means of the presented methods.