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First Passage Models for Denumerable Semi-Markov Decision Processes with Nonnegative Discounted Costs

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Acta Mathematicae Applicatae Sinica 2011年第2期27卷 177-190页

作者： Yong-hui Huang xian-ping guo School of Mathematics and Computational Science Sun Yat-Sen University Guangzhou 510275 China

This paper considers a first passage model for discounted semi-Markov decision processes with denumerable states and nonnegative costs. The criterion to be optimized is the expected discounted cost incurred during a first passage time to a given target set. We first construct a semi-Markov decision process under a given semi-Markov decision kernel and a policy. Then, we prove that the value function satisfies the optimality equation and there exists an optimal （or ε-optimal） stationary policy under suitable conditions by using a minimum nonnegative solution approach. Further we give some properties of optimal policies. In addition, a value iteration algorithm for computing the value function and optimal policies is developed and an example is given. Finally, it is showed that our model is an extension of the first passage models for both discrete-time and continuous-time Markov decision processes.

关键词： Semi-Markov decision processes target set first passage time discounted cost optimal policy

Construction and Regularity of Transition Functions on Polish Spaces under Measurability Conditions

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Acta Mathematicae Applicatae Sinica 2013年第1期29卷 1-14页

作者： Liu-er Ye xian-ping guo College of Economics Jinan University School of Mathematics and Computational Science Guangdong Province Key Laboratory of Computational Science Sen-Yat Sen University

This paper concerns the construction and regularity of a transition （probability） function of a nonhomogeneous continuous-time Maxkov process with given transition rates and a general state space. Motivating from a lot of restriction in applications of a transition function with continuous （in t ≥0） and consewative transition rates q（t, x, A）, we consider the case that q（t, x, A） axe only required to satisfy a mild measurability （in t ≥ O） condition, which is a generalization of the continuity condition. Under the measurability condition we construct a transition function with the given transition rates, provide a necessary and sufficient condition for it to be regular, and further obtain some interesting additional results.

关键词： Transition rate transition function construction and regularity measurability condition

First Passage Risk Probability Minimization for Piecewise Deterministic Markov Decision Processes

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Acta Mathematicae Applicatae Sinica 2022年第3期38卷 549-567页

作者： Xin WEN Hai-feng HUO xian-ping guo School of Mathematics Sun Yat-sen UniversityGuangzhou 510275China Guangdong Province Key Laboratory of Computational Science Sun Yat-sen UniversityGuangzhou 510275China School of Science Guangxi University of Science and TechnologyLiuzhou 545006China

This paper is an attempt to study the minimization problem of the risk probability of piecewise deterministic Markov decision processes(PDMDPs)with unbounded transition rates and Borel *** from the expected discounted and average criteria in the existing literature,we consider the risk probability that the total rewards produced by a system do not exceed a prescribed goal during a first passage time to some target set,and aim to find a policy that minimizes the risk probability over the class of all history-dependent *** suitable conditions,we derive the optimality equation(OE)for the probability criterion,prove that the value function of the minimization problem is the unique solution to the OE,and establish the existence ofε(≥0)-optimal ***,we provide two examples to illustrate our results.

关键词： piecewise deterministic Markov decision processes risk probability first passage time ε-optimal policy

Near-Optimal Controls of Differential Systems with Switching and Random Jumps Subject to Fast Switching and Wideband Noise Perturbation

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Acta Mathematicae Applicatae Sinica 2016年第1期32卷 17-34页

作者： G.YIN xian-ping guo Yousef TALAFHA Nicholas A.BARAN Department of Mathematics Wayne State UniversityU.S.A School of Mathematics and Computational Science Zhongshan UniversityZhongshan 224002China Department of Mathematics and Computer Science Tafila Technical UniversityJordan Department of Mathematics Wayne State UniversityDetroitMI 48202U.S.A.

This work develops near-optimal controls for systems given by differential equations with wideband noise and random *** random switching is modeled by a continuous-time,time-inhomogeneous Markov *** broad conditions,it is shown that there is an associated limit problem,which is a switching jump *** near-optimal controls of the limit system,we then build controls for the original *** is shown that such constructed controls are nearly optimal.

关键词： regime switching jump diffusion wideband noise martingale problem relaxed control near-optimal control

HYDROTHERMAL SYNTHESIS OF ZEOLITE NaA BY MICROWAVE RADIATION

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Chinese Chemical Letters 1992年第1期3卷 69-70页

作者： xian ping MENG Wen guo XU Si Qing TANG Wen Qin PANG Department of Chemistry,Jilin University,Changchun,130023

In this paper,we report a novel application of microwave radiation for the synthesis of zeolite NaA in a fraction of the time required for conventional synthetic method under very mild *** pure product was obtained un... 详细信息

关键词： HYDROTHERMAL SYNTHESIS OF ZEOLITE NaA BY MICROWAVE RADIATION

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非负费用折扣半马氏决策过程

数学学报（中文版） 2010年第3期53卷 503-514页

作者：黄永辉郭先平中山大学数学与计算科学学院广州510275

本文考虑可数状态非负费用的折扣半马氏决策过程.首先在给定半马氏决策核和策略下构造一个连续时间半马氏决策过程,然后用最小非负解方法证明值函数满足最优方程和存在ε-最优平稳策略,并进一步给出最优策略的存在性条件及其一些性质.最... 详细信息

本文考虑可数状态非负费用的折扣半马氏决策过程.首先在给定半马氏决策核和策略下构造一个连续时间半马氏决策过程,然后用最小非负解方法证明值函数满足最优方程和存在ε-最优平稳策略,并进一步给出最优策略的存在性条件及其一些性质.最后,给出了值迭代算法和一个数值算例.

关键词：半马氏决策过程折扣费用最优策略

人工智能文生视频大模型Sora对科技伦理的冲击及应对

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新疆师范大学学报（哲学社会科学版） 2025年第1期46卷 142-148页

作者：曹贤平南昌工程学院马克思主义学院江西南昌330099

Sora的推出是人类社会发展和人工智能进步的标志性事件,凸显出生成式人工智能的强大功能。Sora的爆火离不开规模化数据、先进算法和规模化算力,其内在运行机制紧扣文本输入、文本编码、视频生成和视频输出的基本逻辑,在人类社会具有广... 详细信息

Sora的推出是人类社会发展和人工智能进步的标志性事件,凸显出生成式人工智能的强大功能。Sora的爆火离不开规模化数据、先进算法和规模化算力,其内在运行机制紧扣文本输入、文本编码、视频生成和视频输出的基本逻辑,在人类社会具有广阔应用前景。但Sora在技术更迭和运用过程中可能给科技伦理带来诸如冲击人的主体性地位、导致人们认知的混乱性、冲击伦理规则的适用性、冲击数字隐私伦理并造成数字歧视等风险。因此,要坚持以人为本,运用技术手段增强Sora的数据筛选力度和敏捷治理效度,防止数据泄露和侵犯隐私,进行伦理设计实现科技伦理与时俱进,辅之必要的教育培训,以此提升全民运用人工智能技术的能力。

关键词： Sora 生成式人工智能科技伦理

Two Labdane Diterpenes from Leonurus heterophyllus

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Chinese Chemical Letters 2006年第10期17卷 1321-1324页

作者： xian ZHANG guo ping PENG School of Pharmacy Shanghai University of Traditional Chinese Medicine Shanghai 201203 Botanical Refinement Engineering Research Center Nanjing University-of Traditional Chinese Medicine Nanjing 210029

Two new labdane diterpenoids named heteronone A （1） and heteronone B （2） were isolated from the aerial parts of Leonurus heterophyllus Sweet. Their structures were established by various spectroscopic means, and t... 详细信息

关键词： Labdane diterpenes leonurus heterophyllus Sweet. X-ray diffraction analysis

New Wronskian Representation of Solution for a Variable-Coefficient Kadomtsev-Petviashvili Equation

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Chinese Physics Letters 2013年第6期30卷 46-49页

作者： WU Jian-ping GENG xian-guo Department of Mathematics Zhengzhou University100 Kexue RoadZhengzhou 450001

Utilizing the Wronskian technique,a new Wronskian representation is proposed for a variable-coefficient Kadomtsev–Petviashvili(vcKP)***,some particular forms of Wronskian determinant solutions,includingN-soliton solu... 详细信息

关键词： equation. soliton rational