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On the Security of Homomorphic Encryption Schemes with Restricted Decryption Oracles

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Journal of Systems Science & Complexity 2024年第5期37卷 2240-2261页

作者： MA Guangsheng li hongbo School of Mathematics and Physics North China Electric Power UniversityBeijing 100096China Academy of Mathematics and Systems Science Chinese Academy of SciencesBeijing 100190China University of Chinese Academy of Sciences Beijing 100049China

Fully homomorphic encryption(FHE)can be used for privacy-preserving aggregation of medical *** this typical application,the security against passive attacks has been well studied by li and Micciancio(2021).In this paper,the authors further consider a“nearly passive”kind of attack,where the attacker may behave like a passive attacker in the view of the third-party *** capture the security against this hard-to-detect attack,the authors propose a new notion of IND-CPA^(rD)*** authors show that the standard LWE encryption and its related FHE schemes can not defend against IND-CPA^(rD)attack,even under a stricter rule limiting the content and number of queries made by the *** make the application of FHE schemes more secure,the authors discuss some possible modifications that may serve as countermeasures to IND-CPA^(rD)attack.

关键词： Homomorphic encryption privacy secure cloud computing security

B-SPliNE PATCHES AND TRANSFINITE INTERPOLATION METHOD FOR PDE CONTROLLED SIMULATION

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Journal of Systems Science & Complexity 2012年第2期25卷 348-361页

作者： Yuanjie liU hongbo li Institute of Systems Science Academy of Mathematics and Systems ScienceChinese Academy of Sciences Graduate School of the Chinese Academy of Sciences

This paper is to discuss an approach which combines B-spline patches and transfinite interpolation to establish a linear algebraic system for solving partial differential equations and modify the WEB-spline method developed by Klaus Hollig to derive this new idea. First of all, the authors replace the R-function method with transfinite interpolation to build a function which vanishes on boundaries. Secondly, the authors simulate the partial differential equation by directly applying differential opera- tors to basis functions, which is similar to the RBF method rather than Hollig＇s method. These new strategies then make the constructing of bases and the linear system much more straightforward. And as the interpolation is brought in, the design of schemes for solving practical PDEs can be more flexi- ble. This new method is easy to carry out and suitable for simulations in the fields such as graphics to achieve rapid rendering. Especially when the specified much faster than WEB-spline method. precision is not very high, this method performs

关键词： B-spline representation finite element method RBF transfinite interpolation WEB-spline.

GEOMETRIC ERROR CONTROL IN THE PARABOLA-BLENDING liNEAR INTERPOLATOR

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Journal of Systems Science & Complexity 2013年第5期26卷 777-798页

作者： li hongbo ZHANG lixian Key Laboratory of Mathematics Mechanization Academy of Mathematics and Systems ScienceChinese Academy of Sciences

This paper considers geometric error control in the parabola-blending linear interpolation method(Zhang,et al.,2011).Classical model of chord error by approximation with contact circle on the parabolas leads to incorrect *** computing the geometric error directly without accumulating the approximation error and chord error,the authors realize correct geometric error control by establishing inequality constraints on the accelerations of the motion.

关键词： Chord error GO1 code interpolation geometric error NC machining parabola-blendinginterpolation.

Quantum Algorithm Design:Techniques and Applications

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Journal of Systems Science & Complexity 2019年第1期32卷 375-452页

作者： SHAO Changpeng li Yang li hongbo Academy of Mathematics and Systems Science University of Chinese Academy of Sciences Chinese Academy of Sciences

In recent years, rapid developments of quantum computer are witnessed in both the hardware and the algorithm domains, making it necessary to have an updated review of some major techniques and applications in quantum algorithm *** this survey as well as tutorial article, the authors ?rst present an overview of the development of quantum algorithms, then investigate ?ve important techniques: Quantum phase estimation, linear combination of unitaries, quantum linear solver, Grover search, and quantum walk, together with their applications in quantum state preparation, quantum machine learning, and quantum search. In the end, the authors collect some open problems in?uencing the development of future quantum algorithms.

关键词： Quantum algorithm quantum computation quantum machine learning quantum search quantum walk

INTRODUCTION TO THE SPECIAL ISSUE ON MATHEMATICS AND ALGORITHMS IN COMPUTER-AIDED MANUFACTURING,ENGINEERING,AND NUMERICAL CONTROL

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Journal of Systems Science & Complexity 2013年第5期26卷 665-666页

作者： li hongbo SHPITALNI Moshe Key Laboratory of Mathematics Mechanization Academy of Mathematics and Systems ScienceChinese Academy of Sciences Schlesinger Chair of Manufacturing Systems Technion Israel Institute of Technology

Sixty years have passed since numerical control of machine tools was first demonstrated at *** then,rapid developments in advanced manufacturing technology have posed new challenges and requirements,among them faster machining(high-speed machining),higher feed-rates,more accurate parts and better surface *** only are sophisticated computerenabling technologies needed to cope with these challenges,but also significantly improved

关键词：计算机辅助制造计算机辅助工程数学工具算法数控计算机应用技术计算机数字控制麻省理工学院

A statistical learning based image denoising approach

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Frontiers of Computer Science 2015年第5期9卷 713-719页

作者： Ke TU hongbo li Fuchun SUN Department of Computer Science and Technology State Key Laboratory of Intelligent Technology and Systems Tsinghua University Beijing 100084 China

The image denoising is a very basic but important issue in the field of image procession. Most of the existing methods addressing this issue only show desirable performance when the image complies with their underlying assumptions. Especially, when there is more than one kind of noises, most of the existing methods may fail to dispose the corresponding image. To address this problem, we propose a two-step image denoising method motivated by the statistical learning theory. Under the proposed framework, the type and variance of noise are estimated with support vector machine （SVM） first, and then this information is employed in the proposed denoising algorithm to further improve its denoising performance. Finally, comparative study is constructed to demonstrate the advantages and effectiveness of the proposed method.

关键词： SVM image denosing multiple noises

Estimation of detection threshold in multiple ship target situations with HF ground wave radar

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Journal of Systems Engineering and Electronics 2007年第4期18卷 739-744页

作者： li hongbo Shen Yiying liu Yongtan Research Institute of Electronics and Information Harbin Inst. of Technology Harbin 150001 P. R. China

A credible method of calculating the detection threshold is presented for the multiple target situations, which appear frequently in the lower Doppler velocity region during the surveillance of sea with HF ground wave radar. This method defines a whole-peak-outlier elimination （WPOE） criterion, which is based on in-peak-samples correlation of each target echo spectra, to trim off the target signals and abnormal disturbances with great amplitude from the complex spectra. Therefore, cleaned background noise samples are obtained to improve the accuracy and reliability of noise level estimation. When the background noise is nonhomogeneous, the detection samples are limited and often occupied heavily with outliers. In this case, the problem that the detection threshold is overvalued can be solved. In applications on experimental data, it is verified that this method can reduce the miss alarm rate of signal detection effectively in multiple target situations as well as make the adaptability of the detector better.

关键词： HF ground wave radar multiple target detection outlier elimination threshold estimation

Complex brackets and balanced complex 1st-order difference polynomials in 4-dimensional Minkowski space

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Science China Mathematics 2008年第12期51卷 2137-2148页

作者： HUANG Lei li hongbo Mathematics Mechanization Key Lab AMSSChinese Academy of SciencesBeijing 100080China

This paper investigates complex brackets and balanced complex 1st-order difference (BCD) polynomials. Then we propose an algorithm of O(n log n) complexity to check the equality of brackets. It substitutes exponential... 详细信息

关键词： conformal geometric algebra (CGA) null bracket algebra (NBA) geometric invariant mechanical proving normal forms 68T15 03B35

Analyzing space-time evolution of rural transition in a rapidly urbanizing region:A case study of Suzhou,China

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Journal of Geographical Sciences 2022年第7期32卷 1343-1356页

作者： ZHANG Ruoyan li hongbo YUAN Yuan Institute of Geographic Sciences and Natural Resources Research CASBeijing 100101China University of Chinese Academy of Sciences Beijing 100049China School of Geographical Science Nanjing Normal UniversityNanjing 210023China School of Public Administration Hohai UniversityNanjing 211100China

Influenced by globalization,rural transition in developed Western countries has experienced processes of productivism,post-productivism,and multifunctional *** contrast,rural transition in most developing countries has been accompanied by rapid urbanization,which has become a core topic in geography *** the world’s largest developing country,China has undergone profound development since the reform and ***,rural spaces in some eastern coastal areas have entered the stage of reconstruction after decades of industrialization and *** paper takes Suzhou as the case area and measures the process of rural transition from 1990 to 2015 by constructing an index *** then analyzes the characteristics of space-time evolution using exploratory spatial data analysis(ESDA)methods to reveal the influence of economic and social development on rural *** results show that rural transition,which generally entails the weakening of rurality and enhancing of urbanity on a macro scale,tends to be heterogeneous across different regions on a micro *** paper argues that multifunctionality will be the main future trend of rural transition in rapidly urbanizing *** experience in Suzhou could provide an example for establishing policies on sustainable development in rural spaces and achieving urban-rural co-governance.

关键词： rural transition multifunctionality rural revitalization Suzhou space-time evolution exploratory spatial data analysis(ESDA)