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利用H增生映射的性质，证明了含有广义（p，q）-Laplacian算子的非线性椭圆系统存在唯一解的结论.证明方法简单且研究结果展示了H增生映射和非线性椭圆系统之间的关系，推广和补充了以往的相关研究工作.
含有广义p-Laplacian边值问题与m增生映射
单调映射 增生映射 零点 广义p-Laplacian算子 非线性椭圆边值问题
2019/4/17
证明了m增生映射的一个值域扰动结论并用于讨论一类含有广义p-Laplacian算子的非线性椭圆边值问题在L2（Ω）中解的存在性.探究了非线性椭圆边值问题的解与m增生映射零点的关系.构造了迭代序列用以弱收敛或强收敛到非线性椭圆边值问题的解.本文采用了构造新算子和拆分方程的技巧，推广和补充了以往的相关研究成果.
基于测度优化Laplacian SVM的中文指代消解方法
测度优化 Laplacian SVM 中文指代消解 半监督学习 自然语言处理
2016/12/24
相比于传统的基于半监督学习的指代消解方法，Laplacian SVM（Support Vector Machine）能有效的挖掘已标注样本和未标注样本的相似性和关联性，更好的推导模型的分类边界.而传统Laplacian SVM采用欧式距离度量样本之间的距离，使得异类样本之间的相似性可能过大，不利于样本的准确分类.对此，提出一种基于数据驱动学习最优测度Laplacian SVM算法以解决中文指代消解...
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators
Harmonic function boundary Harnack principle gradient estimate non-local operator Green function Poisson kernel
2016/1/26
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators.
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators
Harmonic function boundary Harnack principle gradient estimate
2016/1/20
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators.
Laplacian pyramid based Laurent polynomial (LP2) matrices are generated by Laurent polynomial column vectors and have long been studied in connection with Laplacian pyramidal algorithms in Signal Proc...
讨论一类带有p-Laplacian算子非线性分数阶微分方程耦合系统边值问题解的存在性,给出解的存在性条件,利用不动点定理进行讨论.
Convex optimization of graph Laplacian eigenvalues
Graph theory Laplacian matrix Convex optimization Semidefinite pro-gramming Markov chain Distributed averaging Effective resistance
2015/8/10
We consider the problem of choosing the edge weights of an undirected graph so as to maximize or minimize some function of the eigenvalues of the associated Laplacian matrix, subject to some constrain...
Hypoelliptic Laplacian and Chern-Weil.
We develop a nonlinear spectral graph theory, in which the Laplace
operator is replaced by the 1 Laplacian ∆1
. The eigenvalue problem is to
solve a nonlinear system, involving a set valued f...
Fractional Laplacian in conformal geometry
Conformal geometry Fractional Laplacian Conformally covariant operators Dirichlet-to-Neumann operators Asymptotically hyperbolic manifolds
2014/4/3
In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli and Silvestre and a class of conformally covariant operators in conformal...
Embedding Riemannian Manifolds by the Heat Kernel of the Connection Laplacian
Embedding Riemannian Manifolds Heat Kernel Connection Laplacian
2013/6/17
Given a class of closed Riemannian manifolds with prescribed geometric conditions, we introduce an embedding of the manifolds into $\ell^2$ based on the heat kernel of the Connection Laplacian associa...
带跳跃非线性项的p-Laplacian问题的结点解
Fuč ik谱 结点解 跳跃非线性项
2014/5/5
研究了带跳跃非线性项的p-Laplacian方程结点解的存在性.如果该问题的非线性项跨越其对应齐次问题的Fučik谱,我们证明了该问题至少存在一个结点解.
时标上二阶带p-Laplacian算子的脉冲边值问题单调迭代正解的存在性
时标 脉冲边值问题 p-Laplacian算子 正解
2013/10/17
论文利用单调迭代的方法证明了时标上二阶 带p-Laplacian算子的脉冲边值问题的正解存在性.同时,举例阐述了主要结果.
针对由光谱仪器测得的拉曼光谱数据经常会受到随机噪声和仪器误差等的影响而导致低分辨率的问题，文中提出了一种能在恢复光谱结构的同时又能抑制光谱噪声的方法，即基于Laplacian-Markov约束的数据加权光谱反卷积模型。该模型将退化光谱中恢复真实光谱的问题转化为最大后验概率的求解问题，推导出了拉曼光谱恢复的变分模型。模型中利用Laplacian-Markov作为光谱数据的光滑性先验，提出加权光谱反卷...