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Jensen's Inequality for Backward Stochastic Differential Equations

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Chinese Annals of mathematics,Series B 2006年第5期27卷 553-564页

作者： long jiang department of mathematics, china university of mining and technology, xuzhou 221008, jiangsu, china School of Mathematical Sciences, Fudan university, Shanghai 200433, china School of mathematics and System Sciences, Shandong university, Jinan 250100, china. department of mathematics China University of Mining and Technology Xuzhou 221008 Jiangsu China School of Mathematical Sciences Fudan University Shanghai 200433 China School of mathematics and System Sciences Shandong University Jinan 250100 China

Under the Lipschitz assumption and square integrable assumption on g, the author proves that Jensen＇s inequality holds for backward stochastic differential equations with generator g if and only if g is independent of y, g（t, 0）≡ 0 and g is super homogeneous with respect to z. This result generalizes the known results on Jensen＇s inequality for gexpectation in [4, 7-9].

关键词： Backward stochastic differential equation g-Expectation Jensen's inequality for g-expectation Jensen's inequality for BSDEs

ON JENSEN'S INEQUALITY FOR g-EXPECTATION

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Chinese Annals of mathematics,Series B 2004年第3期25卷 401-412页

作者： jiang long CHEN ZENGJING School of mathematics and System Sciences, Shandong university, Jinan 250100, china. department of mathematics, china university of mining and technology, xuzhou 221008, jiangsu,china. E-mail: jianglong@*** School of mathematics and System Sciences, Shandong university, Jinan 250100, china. School of mathematics and System Sciences Shandong University Jinan 250100 China department of mathematics China University of Mining and Technology Xuzhou 221008 Jiangsu China

Briand et al. gave a counterexample showing that given g, Jensen's inequality for g-expectation usually does not hold in general This paper proves that Jensen's inequality for g-expectation holds in general if and onl... 详细信息

关键词： Backward stochastic differential equation Jensen's inequality g-expectaation Conditional g-expectation Comparison theorem

FIELD-NETWORK MODEL FOR MINE FIRE SMOKE MOVEMENT

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中国有色金属学会会刊：英文版 1997年第4期7卷 165-169页

作者： jiang Juncheng, Wang Xingshen department of mining Engineering, china university of mining and technology, xuzhou 221008

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ＦＩＥＬＤＮＥＴＷＯＲＫＭＯＤＥＬＦＯＲＭＩＮＥＦＩＲＥＳＭＯＫＥＭＯＶＥＭＥＮＴ①ＪｉａｎｇＪｕｎｃｈｅｎｇ，ＷａｎｇＸｉｎｇｓｈｅｎＤｅｐａｒｔｍｅｎｔｏｆＭｉｎｉｎｇＥｎｇｉｎｅｒｉｎｇ，ＣｈｉｎａＵｎｉｖｅｒｓｉｔｙｏｆＭｉｎｉｎｇａｎｄＴ...

关键词： mine fire computer simulation field network model

A NONLINEAR GALERKIN METHOD WITH VARIABLEMODES FOR KURAMOTO-SIVASHINSKY EQUATION

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Journal of Computational mathematics 1999年第3期17卷 243-256页

作者： Yu-jiang wu(Depadrtment of mathematics, Shanghai university, Jiadiap Shanghai 201800, china department of mathematics, Lanzhou university, Lanzhou 750000, china) 上海大学数学系上海

This article proposes a kind of nonlinear Galerkin methods with variable modes for the long-term integration of Kuramoto-Sivashinsky equation. It consists of finding an appropriate or best number of modes in the correction of the method. Convergence results and error estimates are derived for this method. Numerical examples show also the efficiency and advantage of our method over the usual nonlinear Galerkin method and the classical Galerkin method.

关键词： Kuramoto-Sivaskinsky equation nonlinear Galerkin method approximation convergence

Component modeling and updating method of integrated energy systems based on knowledge distillation

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Energy and AI 2024年第2期16卷 184-199页

作者： Xueru Lin Wei Zhong Xiaojie Lin Yi Zhou long jiang Liuliu Du-Ikonen long Huang Shanghai Institute for Advanced Study Zhejiang UniversityShanghaiChina College of Energy Engineering Zhejiang UniversityHangzhouChina Jiaxing Research Institute Zhejiang UniversityJiaxingChina department of Sustainability Science LUT UniversityLappeenrantaFinland School of Intelligent Manufacturing Ecosystem Xi'an Jiaotong-Liverpool UniversitySuzhouChina

Amid the backdrop of carbon neutrality, traditional energy production is transitioning towards integrated energy systems (IES), where model-based scheduling is key in scenarios with multiple uncertainties on both supply and demand sides. The development of artificial intelligence algorithms, has resolved issues related to model accuracy. However, under conditions of high proportion renewable energy integration, component load adjustments require increased flexibility, so the mathematical model of the component must adapt to constantly changing operating conditions. Therefore, the identification of operating condition changes and rapid model updating are pressing issues. This study proposes a modeling and updating method for IES components based on knowledge distillation. The core of this modeling method is the light weighting of the model, which is achieved through a knowledge distillation method, using a teacher-student mode to compress complex neural network models. The triggering of model updates is achieved through principal component analysis. The study also analyzes the impact of model errors caused by delayed model updates on the overall scheduling of IES. Case studies are conducted on critical components in IES, including coal-fired boilers and turbines. The results show that the time consumption for model updating is reduced by 76.67 % using the proposed method. Under changing conditions, compared with two traditional models, the average deviation of this method is reduced by 12.61 % and 3.49 %, respectively, thereby improving the model's adaptability. The necessity of updating the component model is further analyzed, as a 1.00 % mean squared error in the component model may lead to a power deviation of 0.075 MW. This method provides real-time, adaptable support for IES data modeling and updates.

关键词： Component modeling Adaptive update Knowledge distillation Variable operating conditions Integrated energy system Data-driven

Promoted hydrogenation of CO2 to methanol over single-atom Cu sites with Na+-decorated microenvironment

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National Science Review 2024年第6期11卷 264-272页

作者： Li-Li Ling Xinyu Guan Xiaoshuo Liu Xiao-Mei Lei Zhongyuan Lin Hai-long jiang Hefei National Research Center for Physical Sciences at the Microscale Department of Chemistry University of Science and Technology of China School of Energy and Power Engineering North China Electric Power University School of Energy and Environment Southeast University

Although single-atom Cu sites exhibit high efficiency in CO2hydrogenation to methanol,they are prone to forming Cu nanoparticles due to reduction and aggregation under reaction conditions,especially at high ***,single-atom Cu sites stabilized by adjacent Na+ions have been successfully constructed within a metal-organic framework（MOF）-based catalyst,namely *** is found that the electrostatic interaction between the Na+and Hδ-species plays a pivotal role in upholding the atomic dispersion of Cu in MOF-808-NaCu during CO2hydrogenation,even at temperatures of up to 275℃.This exceptional stabilization effect endows the catalyst with excellent activity(306 g·kgcat-1·h-1),high selectivity to methanol（93%） and long-term stability at elevated reaction temperatures,far surpassing the counterpart in the absence of Na+（denoted as MOF-808-Cu）.This work develops an effective strategy for the fabrication of stable single-atom sites for advanced catalysis by creating an alkali-decorated microenvironment in close proximity.

关键词： single-atom sites metal–organic framework CO2 hydrogenation heterogeneous catalysis alkali-metal decoration

IMTNet:Improved Multi-Task Copy-Move Forgery Detection Network with Feature Decoupling and Multi-Feature Pyramid

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Computers, Materials & Continua 2024年第9期80卷 4603-4620页

作者： Huan Wang Hong Wang Zhongyuan jiang Qing Qian Yong long School of Information Guizhou University of Finance and EconomicsGuiyang550025China College of Big Data Statistics Guizhou University of Finance and EconomicsGuiyang550025China

Copy-Move Forgery Detection(CMFD)is a technique that is designed to identify image tampering and locate suspicious ***,the practicality of the CMFD is impeded by the scarcity of datasets,inadequate quality and quantity,and a narrow range of applicable *** limitations significantly restrict the capacity and applicability of *** overcome the limitations of existing methods,a novel solution called IMTNet is proposed for CMFD by employing a feature decoupling ***,this study formulates the objective task and network relationship as an optimization problem using transfer ***,it thoroughly discusses and analyzes the relationship between CMFD and deep network architecture by employing ResNet-50 during the optimization solving ***,a quantitative comparison between fine-tuning and feature decoupling is conducted to evaluate the degree of similarity between the image classification and CMFD domains by the enhanced ***,suspicious regions are localized using a feature pyramid network with bottom-up path *** results demonstrate that IMTNet achieves faster convergence,shorter training times,and favorable generalization performance compared to ***,it is shown that IMTNet significantly outperforms fine-tuning based approaches in terms of accuracy and F_(1).

关键词： Image copy-move detection feature decoupling multi-scale feature pyramids passive forensics

A novel control scheme of 230kA DC power source using thyristor, Phase-shifting rectifier transformer and On-load tap changer

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A novel control scheme of 230kA DC power source using thyris...

Potential therapeutic role of spermine via Rac1 in osteoporosis:Insights from zebrafish and mice

CES/IEEE 5th International Power Electronics and Motion Control Conference

作者： Qiao Shutong jiang jianguo Member IEEE Zuo Dongsheng and Wu Xiaojie department of Electrical Engineering Shanghai Jiao Tong university Shanghai 200240 china china university of mining and technology xuzhou jiangsu 221008 china department of Electrical Engineering Shanghai Jiaotong University Shanghai China china university of mining and technology Xuzhou Jiangsu China

ISBN: (纸本)1424404487;9781424404483

＜正＞This 230kA DC Power source is composed of four set separated DC power in parallel operation. There are +3.75°,-3.75°, +11.25°, -11.25° phase shifting between each rectifier transformer and original source. Each set device mainly contains on-load tap changer, phase-shifting rectifier transformer and con-phase counter parallel rectifier. In this paper, a current control scheme is realized based on SIEMENS corp. product. According to the required function, the hardware is chose and described, and the software is designed and realized. The design control system is organized by current control level, logic control level and human level. The relation between these levels is determined. The system is validated by electrolytic aluminum plant. From the measured data, the current control precision can reach 0.1% in dynamic process. The rectifier efficiency is more than 97.5%. The whole control device’s realized zero current changing on-load tap changer. This developed DC power source can utilize for electrochemical, electro winning, plasma torches etc.

关键词： power source phase-shifting rectifier transformer Control system Parallel operation

来源： cnki会议评论

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Zoological Research 2024年第2期45卷 367-380页

作者： Rui-Xue jiang Nan Hu Yu-Wei Deng long-Wei Hu Hao Gu Nan Luo Jin Wen Xin-Quan jiang department of Prosthodontics Shanghai Ninth People’s HospitalShanghai Jiao Tong University School of MedicineShanghai 200011China College of Stomatology Shanghai Jiao Tong UniversityNational Center for StomatologyNational Clinical Research Center for Oral DiseasesShanghai Key Laboratory of StomatologyShanghai Research Institute of StomatologyShanghai Engineering Research Center of Advanced Dental Technology and MaterialsShanghai 200125China department of Endodontics Shanghai Ninth People’s HospitalShanghai Jiao Tong University School of MedicineShanghai Jiao Tong UniversityShanghai 200011China department of Oral and Maxillofacial-Head and Neck Oncology Shanghai Ninth People’s HospitalSchool of MedicineShanghai Jiao Tong UniversityShanghai 200011China department of Preventive Dentistry Shanghai Ninth People’s HospitalShanghai Jiao Tong University School of MedicineShanghai Jiao Tong UniversityShanghai 200011China

Osteoporosis(OP)is a prevalent metabolic bone *** drug therapy is essential to prevent bone loss in osteoporotic patients,current treatments are limited by side effects and high costs,necessitating the development of more effective and safer targeted *** a zebrafish(Danio rerio)larval model of osteoporosis,we explored the influence of the metabolite spermine on bone *** showed that spermine exhibited dual activity in osteoporotic zebrafish larvae by increasing bone formation and decreasing bone *** not only demonstrated excellent biosafety but also mitigated prednisolone-induced embryonic neurotoxicity and ***,spermine showcased protective attributes in the nervous systems of both zebrafish embryos and *** the molecular level,Rac1 was identified as playing a pivotal role in mediating the antiosteoporotic effects of spermine,with P53 potentially acting downstream of *** findings were confirmed using mouse(Mus musculus)models,in which spermine not only ameliorated osteoporosis but also promoted bone formation and mineralization under healthy conditions,suggesting strong potential as a bonestrengthening *** study underscores the beneficial role of spermine in osteoporotic bone homeostasis and skeletal system development,highlighting pivotal molecular *** their efficacy and safety,human endogenous metabolites like spermine are promising candidates for new anti-osteoporotic drug development and daily bone-fortifying agents.

关键词： Osteoporosis Spermine Rac1 Zebrafish Mice