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Privacy-Preserving Recommendation Based on Kernel Method in Cloud Computing

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Computers, Materials & Continua 2021年第1期66卷 779-791页

作者： Tao Li Qi Qian Yongjun Ren Yongzhen Ren Jinyue Xia College of Artificial Intelligence Nanjing University of Information Science and TechnologyNanjing210044China College of Electronic and Information Engineering Nanjing University of Information Science and TechnologyNanjing210044China College of Computer and Software Nanjing University of Information Science and TechnologyNanjing210044China International Business Machines Corporation(IBM) NYUSA

The application field of the Internet of Things(IoT)involves all aspects,and its application in the fields of industry,agriculture,environment,transportation,logistics,security and other infrastructure has effectively promoted the intelligent development of these *** the IoT has gradually grown in recent years,there are still many problems that need to be overcome in terms of technology,management,cost,policy,and *** need to constantly weigh the benefits of trusting IoT products and the risk of leaking private *** avoid the leakage and loss of various user data,this paper developed a hybrid algorithm of kernel function and random perturbation method based on the algorithm of non-negative matrix factorization,which realizes personalized recommendation and solves the problem of user privacy data protection in the process of personalized *** to non-negative matrix factorization privacy-preserving algorithm,the new algorithm does not need to know the detailed information of the data,only need to know the connection between each data;and the new algorithm can process the data points with negative *** show that the new algorithm can produce recommendation results with certain accuracy under the premise of preserving users’personal privacy.

关键词： IoT kernel method privacy-preserving personalized recommendation random perturbation

High-order numerical method for the derivative nonlinear Schrodinger equation

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International Journal of Modeling, Simulation, and Scientific Computing 2017年第1期8卷 258-270页

作者： Shu-Cun Li Xiang-Gui Li Jun-Jie Cao Wen-Bo Li School of Applied ScienceBeijing Information Science and Technology UniversityBeijing 100192P.R.China

In this work,a fourth-order numerical scheme in space and two second-order numerical schemes in both time and space are proposed for the derivative nonlinear Schrodinger *** verify the mass conservation for the two-level implicit *** influence on the soliton solution by adding a small random perturbation to the initial condition is *** numerical experiments are given to test the accuracy order for different schemes,*** also test the conservative property of mass and Hamiltonian for these schemes from the numerical point of view.

关键词： Derivative nonlinear Schrodinger equation finite difference soliton solution random perturbation

Global Optimization Using Diffusion perturbations with Large Noise Intensity

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Acta Mathematicae Applicatae Sinica 2006年第4期22卷 529-542页

作者： G. Yin K. Yin Department of Mathematics Wayne State University Detroit MI 48202 Department of Bio-based Products University of Minnesota Saint Paul MN 55108

This work develops an algorithm for global optimization. The algorithm is of gradient ascent type and uses random perturbations. In contrast to the annealing type procedures, the perturbation noise intensity is large. We demonstrate that by properly varying the noise intensity, approximations to the global maximum can be achieved. We also show that the expected time to reach the domain of attraction of the global maximum, which can be approximated by the solution of a boundary value problem, is finite. Discrete-time algorithms are proposed; recursive algorithms with occasional perturbations involving large noise intensity are developed. Numerical examples are provided for illustration.

关键词： Global optimization random perturbation diffusion

Dynamic Behaviour of Oilfield ‘A’ Form Derricks

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Tsinghua Science and Technology 2001年第1期6卷 57-62页

作者：胡少伟聂建国 Department of Civil Engineering Tsinghua University Beijing 100084 China

This paper analyses the natural frequencies and modes of ‘A’ form derricks. Using the random perturbative finite element methods, the first-order and second-order sensitivities are calculated when several structural parameters of elements are changed randomly. The expressions of the random structural eigenvalues of ‘A’ form derricks are given. The results and conclusions are valuable for designing new oilfield derricks in the future.

关键词： A’ form derricks dynamic characteristics random perturbation sensitivity

Time Series of random Macro-price and Application

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Chinese Quarterly Journal of Mathematics 2008年第1期23卷 144-155页

作者：耿显民 College of Science Nanjing University of Aeronautics and Astronautics

This paper tries to utilize the methods of stochastic analysis and matrix analysis to research the existential problem of price series. By using the means of time series analysis, the input-output, Markov processes and the modern matrix analysis, the limiting problem of price balance and vibration in stochastic economic environment has been researched, and surprising conclusions obtained are as following： the probability that the economic collapse time is equal ∞ is 0.

关键词： input-output coefficient matrix economic collapse time maximum eigne value random perturbation Markov process