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Large deviations under a viewpoint of metric geometry:Measure-valued process cases

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Science China Mathematics 2013年第11期56卷 2335-2351页

作者： xiang kainan School of Mathematical Sciences LPMC Nankai University

We illustrate a metric geometry viewpoint for large deviation principles by analyzing the proof of a long-standing conjecture on an explicit Schilder-type theorem for super-Brownian motions given by the authors recent... 详细信息

关键词： large deviation super-Brownian motion Fleming-Viot process metric geometry of path space

On a class of measure-valued processes:singular cases

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Science China Mathematics 2006年第10期49卷 1315-1326页

作者： WANG Bin xiang kainan YANG xiangqun Department of Mathematics Hunan Normal University Changsha 410081 China Department of Mathematics Hunan Normal University Changsha 410081 China Department of Mathematics Hunan Normal University Changsha 410081 China

A measure-valued diffusion process describing how the measures evolve under flows or "imaginary" flows on Rd is constructed in this paper. The interest of the process is that on the one hand, it can be viewed as a mea... 详细信息

关键词： flow, "imaginary" flow, measure-valued process.

On strong Markov property for Fleming-Viot processes

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Science China Mathematics 2013年第10期56卷 2123-2133页

作者： LI QinFeng MA ChunHua xiang kainan School of Mathematical Sciences LPMC Nankai University

In this note,we prove that any Fleming-Viot process on a Polish space is strongly Markovian provided so is the mutation process.

关键词： superprocess Fleming-Viot process strong Markov property

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单模随机网络的有限逼近

中国科学：数学 2019年第3期49卷 553-580页

作者：向开南南开大学数学科学学院基础数学和组合数学重点实验室天津300071

随机图极限理论是一个十分活跃且充满挑战性的研究领域,关于单模随机网络有限逼近的Aldous-Lyons猜想是该领域的一个核心重大问题,本论文是关于它的一个综述.

关键词：图极限局部极限单模随机网络有限逼近

On Tanaka formulae for (α,d,β)-superprocesses

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Science China Mathematics 2005年第9期 44-58页

作者： xiang kainan Department of Mathematics,Hunan Normal University,Changsha 410081,China

In this paper,Tanaka formulae for (α,d,β)-superprocesses in the dimensions where the local time exists are established under the optimal initial condition.

关键词： local time Tanaka formula (α,d,β)-superprocess.

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关于流形上鞅的内向爆发(英文)

数学进展 2000年第4期29卷 307-312页

作者：雷晓莉向开南北京142中学北京100013 中国科学院应用数学所北京100080

在本文中，我们构造了一个２维完备黎曼流形５其上的布朗运动是非内向爆发的，且存在一个对应于负Ｌｅｖｉ－Ｃｉｖｉｔａ联络的内向爆发鞅．此外，我们也考虑了布朗运动的非内向爆发．

关键词：鞅内向爆发完备黎曼流形维纳过程布朗运动

二甲双胍抑制PI3K/AKT/mTOR信号通路保护骨关节炎模型大鼠关节软骨

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中国组织工程研究 2025年第5期29卷 1003-1012页

作者：徐田杰樊佳欣郭小玲贾祥赵兴旺刘凯楠王茜华北理工大学基础医学院河北省唐山市063000 华北理工大学附属医院骨科河北省唐山市063000 邢台医学高等专科学校河北省邢台市054000

背景:研究表明,二甲双胍具有抗炎、抗肿瘤、抗衰老与血管保护作用,可抑制骨关节炎的进展,但其具体的作用机制仍不明确。目的:探讨二甲双胍对骨关节炎模型大鼠软骨保护的作用机制。方法:取40只雄性SD大鼠,采用随机数字表法分4组(n=10):... 详细信息

背景:研究表明,二甲双胍具有抗炎、抗肿瘤、抗衰老与血管保护作用,可抑制骨关节炎的进展,但其具体的作用机制仍不明确。目的:探讨二甲双胍对骨关节炎模型大鼠软骨保护的作用机制。方法:取40只雄性SD大鼠,采用随机数字表法分4组(n=10):空白组不进行任何手术,假手术组暴露关节腔,模型组、二甲双胍组采用改良Hulth法建立骨关节炎模型;造模后1 d,二甲双胍组大鼠灌胃给予二甲双胍200 mg/(kg·d),模型组、空白组、假手术组灌胃给予生理盐水,连续给药4周。给药结束后,苏木精-伊红、甲苯胺蓝和番红O-固绿染色观察大鼠膝关节软骨病理形态,免疫组化染色与Western blotting检测大鼠软骨组织中SOX9、Ⅱ型胶原、ADAMTS5、Beclin1、P62、p-PI3K、PI3K、p-AKT、AKT、p-mTOR、mTOR的蛋白表达。结果与结论:①苏木精-伊红、甲苯胺蓝和番红O-固绿染色结果显示,空白组、假手术组大鼠膝关节软骨表面光滑,组织形态正常;模型组大鼠膝关节软骨表面不规则,软骨组织出现缺损,软骨细胞数量减少,软骨基质中蛋白多糖含量减少;相较于模型组,二甲双胍组大鼠膝关节软骨结构损伤有明显改善,软骨表面趋于平整,软骨细胞数量与软骨基质中蛋白多糖含量增加;②免疫组化染色与Western blotting检测结果显示,与空白组、假手术组比较,模型组大鼠软骨组织中SOX9、Ⅱ型胶原、Beclin1蛋白表达降低(P<0.05),ADAMTS5、P62及p-PI3K、p-AKT、p-mTOR蛋白表达升高(P<0.05);与模型组比较,二甲双胍组大鼠软骨组织中SOX9、Ⅱ型胶原、Beclin1蛋白表达升高(P<0.05),ADAMTS5、P62及p-PI3K、p-AKT、p-mTOR蛋白表达降低(P<0.05);③结果表明,二甲双胍可通过抑制PI3K/AKT/mTOR信号通路的活化提高骨关节炎模型大鼠软骨细胞自噬活性、减少软骨基质降解,进而发挥关节软骨保护作用。

关键词：骨关节炎关节软骨自噬二甲双胍 PI3K/AKT/mTOR信号通路

Link-Privacy Preserving Graph Embedding Data Publication with Adversarial Learning

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Tsinghua Science and Technology 2022年第2期27卷 244-256页

作者： kainan Zhang Zhi Tian Zhipeng Cai Daehee Seo the Department of Computer Science Georgia State UniversityAtlantaGA 30303USA the Department of Electrical and Computer Engineering George Mason UniversityFairfaxVA 22030USA the National Center of Excellence in Software Sangmyung UniversitySeoul 03016Republic of Korea

The inefficient utilization of ubiquitous graph data with combinatorial structures necessitates graph embedding methods,aiming at learning a continuous vector space for the graph,which is amenable to be adopted in traditional machine learning algorithms in favor of vector *** embedding methods build an important bridge between social network analysis and data analytics,as social networks naturally generate an unprecedented volume of graph data *** social network data not only brings benefit for public health,disaster response,commercial promotion,and many other applications,but also gives birth to threats that jeopardize each individual’s privacy and ***,most existing works in publishing social graph embedding data only focus on preserving social graph structure with less attention paid to the privacy issues inherited from social *** be specific,attackers can infer the presence of a sensitive relationship between two individuals by training a predictive model with the exposed social network *** this paper,we propose a novel link-privacy preserved graph embedding framework using adversarial learning,which can reduce adversary’s prediction accuracy on sensitive links,while persevering sufficient non-sensitive information,such as graph topology and node attributes in graph *** experiments are conducted to evaluate the proposed framework using ground truth social network datasets.

关键词： graph embedding privacy preservation adversarial learning

Analysis of transmitter-side control methods in wireless EV charging systems

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Science China(Technological Sciences) 2018年第10期61卷 1492-1501页

作者： LIU Fang CHEN kainan ZHAO ZhengMing LI Kai Department of Electrical Engineering Tsinghua University

The wireless electric vehicle(EV) charging system is highly safe and flexible. To reduce the weight and cost of EVs, the wireless charging system, which simplifies the structure inside an EV and utilizes the transmitter-side control method, has become popular. This study investigates the transmitter-side control methods in a wireless EV charging system. First, a universal wireless charging system is introduced, and the function of its transfer power is derived. It is observed that the transfer power can be controlled by regulating either the phase-shift angle or the DC-link voltage. Further, the influence of the control variables is studied using numerical analysis. Additionally, the corresponding control methods, namely the phase-shift angle and the DC-link voltage control, are compared by calculation and simulation. It is found that:(1) the system efficiency is low with the phase-shift control method because of the converter switching loss;(2) the dynamic response is slow with the DC-link voltage control method because of the large inertia of the inductor and capacitor;(3) both the control methods have limitations in their adjustable power range. Therefore, a combined control method is proposed, with the advantages of high system efficiency, fast dynamic response, and wide adjustable power range. Finally, experiments are performed to verify the validity of the theoretical analysis and the effectiveness of the proposed method. This study provides a detailed and comprehensive analysis of the transmitter-side control methods in the wireless charging system, considering the sensitivity of parameters, converter losses, system efficiency,and dynamic performance, with the dead-time effect taken into consideration. Moreover, the proposed control method can be used to realize the optimal combination of the phase-shift angle and the DC-link voltage with good dynamic performance, and it is useful for the optimal operation of the wireless charging system.

关键词： clean-energy vehicles EV charging system wireless power transfer (WPT) transmitter-side control phase-shift control DC-link voltage control combined control method