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通过引入弱π缠绕结构(A,C)π-ψ的正规化积分概念, 证明了弱π缠绕模的Maschke型定理: 给定一个弱π缠绕结构(A,C)π-ψ, 假设存在正规化积分θ={θα: Cα→Hom(Cα-1,Aα)}α∈π,对于任意的f={fα: Mα→Nα}α∈π∈Uπ-CA(ψ), 则当单(满)态射fe视为Ae模态射可分裂时, 必有单(满)态射f={fα: Mα→Nα}α∈π在Uπ-CA(ψ)中可分...
利用Schauder不动点定理研究二阶非自治半正的耦合微分方程组Neumann边值问题正解的存在性. 在扰动项积分值符号同正、 同负和异号的情况下, 分别获得了该奇异耦合微分方程组Neumann边值问题存在正解的条件.
利用广义Hermite矩阵探讨一类二次矩阵方程的求解问题, 得到了矩阵方程XAX=A存在广义Hermite矩阵解的充分必要条件及其相应解的表达式, 并给出了矩阵方程XAY=B当A,B可逆时的通解表达式.
We study the problem of solving simple stochastic games, and give both an interesting new algorithm and a hardness result. We show a reduction from fine approximation of simple stochastic games to co...
Abstract: Recently Batsidis \textit{et al.} (2011) have presented a new procedure based on divergence measures for testing the hypothesis of the existence of a change point in exponential populations....
给出集值映射二阶导数的定义, 并讨论了其相关性质. 运用此二阶导数及二阶相依导数, 建立了约束集值优化问题的二阶必要最优性条件. 在有限维空间中得到了约束集值优化问题的二阶充分最优性条件.
In some real world applications, such as spectrometry, functional models achieve better predictive performances if they work on the derivatives of order m of their inputs rather than on the original...
We consider the problem of learning a distance metric from a limited amount of pairwise information as effectively as possible. The proposed SERAPH (SEmi-supervised metRic leArning Paradigm with Hyper...
Given a node-weighted graph, the minimum-weighted dominating set (MWDS) problem is to find a minimum-weighted vertex subset such that, for any vertex, it is contained in this subset or it has a neighb...
给出了k-广义Hermite矩阵的概念, 并给出了它的性质及其与酉矩阵、 Hermite矩阵、 Hamilton矩阵和广义逆矩阵之间的关系及其在解矩阵方程中的应用, 取得了一些新结果, 推广了酉矩阵、 Hermite矩阵及广义次对称矩阵的相应结果, 特别地将正交阵的广义Cayley分解推广到了k-广义酉矩阵和k-广义Hermite矩阵上, 从而统一了各类Hermite矩阵及广义逆矩阵.
利用最小二乘方法和临近支持向量机(PSVM)算法,并结合双胞支持向量机(TSVR),提出了最小二乘双胞支持向量回归机(LSTSVR).作为对照,TSVR需要求解2个二次规划问题,而LSTSVR仅需求解2个线性方程组.最后利用不同的实例验证了所提算法的可行性和有效性.
Single fault sequential change point problems have become important in modeling for various phenomena in large distributed systems, such as sensor networks. But such systems in many situations presen...
This paper provides a full geometric development of a new technique called un-reduction, for dealing with dynamics and optimal control problems posed on spaces that are unwieldy for numerical implemen...
c     localization  L{é}vy operators  mathematical finances       2011/1/21
We study the uniform H¨older continuity of the solutions of the following problem.F(x,∇v(x),∇2v(x)) −Z RN [v(x + z) − v(x)−1|z|<1h∇v(x), zi]c(z)dz − g(x) = 0 ...
This paper develops an analytical relation on probability to obtain a condition on stability of steady states of open systems which represents the condition of quasi-ergodicity for the open systems to...

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