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KSKV:Key-Strategy for Key-Value Data Collection with Local Differential Privacy
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作者 Dan Zhao Yang You +2 位作者 Chuanwen Luo Ting Chen Yang Liu 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第6期3063-3083,共21页
In recent years,the research field of data collection under local differential privacy(LDP)has expanded its focus fromelementary data types to includemore complex structural data,such as set-value and graph data.Howev... In recent years,the research field of data collection under local differential privacy(LDP)has expanded its focus fromelementary data types to includemore complex structural data,such as set-value and graph data.However,our comprehensive review of existing literature reveals that there needs to be more studies that engage with key-value data collection.Such studies would simultaneously collect the frequencies of keys and the mean of values associated with each key.Additionally,the allocation of the privacy budget between the frequencies of keys and the means of values for each key does not yield an optimal utility tradeoff.Recognizing the importance of obtaining accurate key frequencies and mean estimations for key-value data collection,this paper presents a novel framework:the Key-Strategy Framework forKey-ValueDataCollection under LDP.Initially,theKey-StrategyUnary Encoding(KS-UE)strategy is proposed within non-interactive frameworks for the purpose of privacy budget allocation to achieve precise key frequencies;subsequently,the Key-Strategy Generalized Randomized Response(KS-GRR)strategy is introduced for interactive frameworks to enhance the efficiency of collecting frequent keys through group-anditeration methods.Both strategies are adapted for scenarios in which users possess either a single or multiple key-value pairs.Theoretically,we demonstrate that the variance of KS-UE is lower than that of existing methods.These claims are substantiated through extensive experimental evaluation on real-world datasets,confirming the effectiveness and efficiency of the KS-UE and KS-GRR strategies. 展开更多
关键词 KEY-VALUE local differential privacy frequency estimation mean estimation data perturbation
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Modified filter for mean elements estimation with state jumping
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作者 YU Yanjun YUE Chengfei +2 位作者 LI Huayi WU Yunhua CHEN Xueqin 《Journal of Systems Engineering and Electronics》 SCIE CSCD 2024年第4期999-1012,共14页
To investigate the real-time mean orbital elements(MOEs)estimation problem under the influence of state jumping caused by non-fatal spacecraft collision or protective orbit trans-fer,a modified augmented square-root u... To investigate the real-time mean orbital elements(MOEs)estimation problem under the influence of state jumping caused by non-fatal spacecraft collision or protective orbit trans-fer,a modified augmented square-root unscented Kalman filter(MASUKF)is proposed.The MASUKF is composed of sigma points calculation,time update,modified state jumping detec-tion,and measurement update.Compared with the filters used in the existing literature on MOEs estimation,it has three main characteristics.Firstly,the state vector is augmented from six to nine by the added thrust acceleration terms,which makes the fil-ter additionally give the state-jumping-thrust-acceleration esti-mation.Secondly,the normalized innovation is used for state jumping detection to set detection threshold concisely and make the filter detect various state jumping with low latency.Thirdly,when sate jumping is detected,the covariance matrix inflation will be done,and then an extra time update process will be con-ducted at this time instance before measurement update.In this way,the relatively large estimation error at the detection moment can significantly decrease.Finally,typical simulations are per-formed to illustrated the effectiveness of the method. 展开更多
关键词 unscented Kalman filter mean orbital elements(MOEs)estimation state jumping detection nonlinear system
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SOME INTEGRAL MEAN ESTIMATES FOR POLYNOMIALS 被引量:1
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作者 A. Aziz W. M. Shah 《Analysis in Theory and Applications》 2007年第2期101-111,共11页
In this paper we establish L^q inequalities for polynomials, which in particular yields interesting generalizations of some Zygmund-type inequalities.
关键词 POLYNOMIAL Bernstein's inequality L^q mean estimate zero
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Ultra-High Dimensional Feature Selection and Mean Estimation under Missing at Random
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作者 Wanhui Li Guangming Deng Dong Pan 《Open Journal of Statistics》 2023年第6期850-871,共22页
Next Generation Sequencing (NGS) provides an effective basis for estimating the survival time of cancer patients, but it also poses the problem of high data dimensionality, in addition to the fact that some patients d... Next Generation Sequencing (NGS) provides an effective basis for estimating the survival time of cancer patients, but it also poses the problem of high data dimensionality, in addition to the fact that some patients drop out of the study, making the data missing, so a method for estimating the mean of the response variable with missing values for the ultra-high dimensional datasets is needed. In this paper, we propose a two-stage ultra-high dimensional variable screening method, RF-SIS, based on random forest regression, which effectively solves the problem of estimating missing values due to excessive data dimension. After the dimension reduction process by applying RF-SIS, mean interpolation is executed on the missing responses. The results of the simulated data show that compared with the estimation method of directly deleting missing observations, the estimation results of RF-SIS-MI have significant advantages in terms of the proportion of intervals covered, the average length of intervals, and the average absolute deviation. 展开更多
关键词 Ultrahigh-Dimensional Data Missing Data Sure Independent Screening Mean Estimation
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THE SUPERIORITY OF EMPIRICAL BAYES ESTIMATION OF PARAMETERS IN PARTITIONED NORMAL LINEAR MODEL 被引量:4
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作者 张伟平 韦来生 《Acta Mathematica Scientia》 SCIE CSCD 2008年第4期955-962,共8页
In this article,the empirical Bayes(EB)estimators are constructed for the estimable functions of the parameters in partitioned normal linear model.The superiorities of the EB estimators over ordinary least-squares... In this article,the empirical Bayes(EB)estimators are constructed for the estimable functions of the parameters in partitioned normal linear model.The superiorities of the EB estimators over ordinary least-squares(LS)estimator are investigated under mean square error matrix(MSEM)criterion. 展开更多
关键词 Partitioned linear model empirical Bayes estimator least-squares estimator mean square error matrix
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Calculation of Significant Wave Height Using the Linear Mean Square Estimation Method 被引量:2
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作者 GAO Yangyang YU Dingyong +1 位作者 LI Cuilin XU Delun 《Journal of Ocean University of China》 SCIE CAS 2010年第4期327-332,共6页
Significant wave height is an important criterion in designing coastal and offshore structures.Based on the orthogonality principle, the linear mean square estimation method is applied to calculate significant wave he... Significant wave height is an important criterion in designing coastal and offshore structures.Based on the orthogonality principle, the linear mean square estimation method is applied to calculate significant wave height in this paper.Twenty-eight-year time series of wave data collected from three ocean buoys near San Francisco along the California coast are analyzed.It is proved theoretically that the computation error will be reduced by using as many measured data as possible for the calculation of significant wave height.Measured significant wave height at one buoy location is compared with the calculated value based on the data from two other adjacent buoys.The results indicate that the linear mean square estimation method can be well applied to the calculation and prediction of significant wave height in coastal regions. 展开更多
关键词 significant wave height linear mean square estimation method orthogonality principle
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Using self-location to calibrate the errors of observer positions for source localization 被引量:2
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作者 Wanchun Li Wanyi Zhang Liping Li 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第2期194-202,共9页
The uncertainty of observers' positions can lead to significantly degrading in source localization accuracy. This pa-per proposes a method of using self-location for calibrating the positions of observer stations in ... The uncertainty of observers' positions can lead to significantly degrading in source localization accuracy. This pa-per proposes a method of using self-location for calibrating the positions of observer stations in source localization to reduce the errors of the observer positions and improve the accuracy of the source localization. The relative distance measurements of the two coordinative observers are used for the linear minimum mean square error (LMMSE) estimator. The results of computer si-mulations prove the feasibility and effectiveness of the proposed method. With the general estimation errors of observers' positions, the MSE of the source localization with self-location calibration, which is significantly lower than that without self-location calibra-tion, is approximating to the Cramer-Rao lower bound (CRLB). 展开更多
关键词 self-location errors of the observer positions linearminimum mean square error (LMMSE) estimator accuracy of thesource localization Cramer-Rao lower bound (CRLB).
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A KERNEL ESTIMATOR OF A DENSITY FUNCTION IN MULTIVARIATE CASE FROM RANDOMLY CENSORED DATA
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作者 周勇 《Acta Mathematica Scientia》 SCIE CSCD 1996年第2期170-180,共11页
A kernel density estimator is proposed when tile data are subject to censorship in multivariate case. The asymptotic normality, strong convergence and asymptotic optimal bandwidth which minimize the mean square error ... A kernel density estimator is proposed when tile data are subject to censorship in multivariate case. The asymptotic normality, strong convergence and asymptotic optimal bandwidth which minimize the mean square error of the estimator are studied. 展开更多
关键词 Kernel density estimator asymptotic normality product-limit estimator mean square error and censored data.
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Interference cancellation scheme for uplink cognitive radio systems
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作者 武卓 晏立佳 《Journal of Shanghai University(English Edition)》 CAS 2011年第1期16-20,共5页
This paper investigates the interference cancellation (IC) scheme for uplink cognitive radio systems, using the spectrum underlay strategy where the primary users (PUs) and the secondary users (SUs) coexist and ... This paper investigates the interference cancellation (IC) scheme for uplink cognitive radio systems, using the spectrum underlay strategy where the primary users (PUs) and the secondary users (SUs) coexist and operate in the same spectrum. Joint MMSE-based parallel interference cancellation (PIC) and Turbo decoding scheme is proposed to reduce the interference to the PUs, as well as to the SUs, in which the minimum mean square estimation (MMSE) filter is only employed in the first iteration, regarded as the "weakest link" of the whole detection process, to improve the quality of the preliminary detections results before they are fed to the Turbo decoder. Simulation results show that the proposed scheme can efficiently eliminate the interference to the PUs, as well as to the SUs. 展开更多
关键词 cognitive radio parallel interference cancellation (PIC) Turbo decoding minimum mean square estimation (MMSE) spectrum underlay
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SOME RESULTS CONCERNING GROWTH OF POLYNOMIALS
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作者 Abdul Liman Sajad Amin Baba 《Analysis in Theory and Applications》 2008年第4期351-363,共13页
In this paper, we establish inequalities for polynomials with restricted zeros, which in particular yields interesting generalizations of some Zygmund type inequalities for polynomial.
关键词 POLYNOMIAL integral mean estimate
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Image enhancement via MMSE estimation of Gaussian scale mixture with Maxwell density in AWGN
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作者 Pichid Kittisuwan Faculty of Engineering 《Journal of Innovative Optical Health Sciences》 SCIE EI CAS 2016年第2期86-93,共8页
In optical techniques,noise signal is a classical problem in medical image processing.Recently,there has been considerable interest in using the wavelet transform with Bayesian estimation as a powerful tool for recove... In optical techniques,noise signal is a classical problem in medical image processing.Recently,there has been considerable interest in using the wavelet transform with Bayesian estimation as a powerful tool for recovering image from noisy data.In wavelet domain,if Bayesian estimator is used for denoising problem,the solution requires a prior knowledge about the distribution of wavelet coeffcients.Indeed,wavelet coeffcients might be better modeled by super Gaussian density.The super Gaussian density can be generated by Gaussian scale mixture(GSM).So,we present new minimum mean square error(MMSE)estimator for spherically-contoured GSM with Maxwell distribution in additive white Gaussian noise(AWGN).We compare our proposed method to current state-of-the-art method applied on standard test image and we quantify achieved performance improvement. 展开更多
关键词 Gaussian scale mixture minimum mean square error estimation image denoising wavelet transforms
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Statistical-mechanical analysis of multiuser channel capacity with imperfect channel state information
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作者 汪辉松 曾贵华 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第12期4451-4457,共7页
In this paper, the effect of imperfect channel state information at the receiver, which is caused by noise and other interference, on the multi-access channel capacity is analysed through a statistical-mechanical appr... In this paper, the effect of imperfect channel state information at the receiver, which is caused by noise and other interference, on the multi-access channel capacity is analysed through a statistical-mechanical approach. Replica analyses focus on analytically studying how the minimum mean square error (MMSE) channel estimation error appears in a multiuser channel capacity formula. And the relevant mathematical expressions are derived. At the same time, numerical simulation results are demonstrated to validate the Replica analyses. The simulation results show how the system parameters, such as channel estimation error, system load and signal-to-noise ratio, affect the channel capacity. 展开更多
关键词 statistical mechanics channel capacity minimum mean square error channel estimation code division multiple access (CDMA)
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Estimation of Parameters of Boundary Value Problems for Linear Ordinary Differential Equations with Uncertain Data
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作者 Yury Shestopalov Yury Podlipenko Olexandr Nakonechnyi 《Advances in Pure Mathematics》 2014年第4期118-146,共29页
In this paper we construct optimal, in certain sense, estimates of values of linear functionals on solutions to two-point boundary value problems (BVPs) for systems of linear first-order ordinary differential equation... In this paper we construct optimal, in certain sense, estimates of values of linear functionals on solutions to two-point boundary value problems (BVPs) for systems of linear first-order ordinary differential equations from observations which are linear transformations of the same solutions perturbed by additive random noises. It is assumed here that right-hand sides of equations and boundary data as well as statistical characteristics of random noises in observations are not known and belong to certain given sets in corresponding functional spaces. This leads to the necessity of introducing minimax statement of an estimation problem when optimal estimates are defined as linear, with respect to observations, estimates for which the maximum of mean square error of estimation taken over the above-mentioned sets attains minimal value. Such estimates are called minimax mean square or guaranteed estimates. We establish that the minimax mean square estimates are expressed via solutions of some systems of differential equations of special type and determine estimation errors. 展开更多
关键词 Optimal Minimax Mean Square estimates Uncertain Data Two-Point Boundary Value Problems Random Noises Observations
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Performance of cumulant-based rank reduction estimator in presence of unexpected modeling errors
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作者 王鼎 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第3期992-1001,共10页
Compared with the rank reduction estimator(RARE) based on second-order statistics(called SOS-RARE), the RARE based on fourth-order cumulants(referred to as FOC-RARE) can handle more sources and restrain the negative i... Compared with the rank reduction estimator(RARE) based on second-order statistics(called SOS-RARE), the RARE based on fourth-order cumulants(referred to as FOC-RARE) can handle more sources and restrain the negative impacts of the Gaussian colored noise. However, the unexpected modeling errors appearing in practice are known to significantly degrade the performance of the RARE. Therefore, the direction-of-arrival(DOA) estimation performance of the FOC-RARE is quantitatively derived. The explicit expression for direction-finding(DF) error is derived via the first-order perturbation analysis, and then the theoretical formula for the mean square error(MSE) is given. Simulation results demonstrate the validation of the theoretical analysis and reveal that the FOC-RARE is more robust to the unexpected modeling errors than the SOS-RARE. 展开更多
关键词 fourth-order cumulants(FOC) rank reduction estimator(RARE) modeling error mean square error(MSE)
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Forcibly Re-scrambled Randomized Response Model for Simultaneous Estimation of Means of Two Sensitive Variables
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作者 Segun Ahmed Stephen A.Sedory Sarjinder Singh 《Communications in Mathematics and Statistics》 SCIE 2020年第1期23-45,共23页
Recently,Ahmed et al.(Commun Stat Theory Methods 47(2):324-343,2018)have introduced the idea of simultaneously estimating means of two sensitive variables by collecting one scrambled response and another pseudo-respon... Recently,Ahmed et al.(Commun Stat Theory Methods 47(2):324-343,2018)have introduced the idea of simultaneously estimating means of two sensitive variables by collecting one scrambled response and another pseudo-response.In this paper,we extend their idea to the simultaneous estimation of two means by making use of the forced quantitative randomized response model of Gjestvang and Singh(Metrika 66(2):243-257,2007)but then re-scrambling the scrambled scores.This idea of re-scrambling already scrambled responses seems completely new in the field of randomized response sampling.The performance of the proposed forced quantitative randomized response model has been investigated analytically as well as empirically. 展开更多
关键词 Estimation of means of two sensitive characteristics Randomized response technique Re-scrambling Variance and relative efficiency
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On the Third and Fourth Power Moments of Fourier Coefficients of Cusp Forms 被引量:2
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作者 Cai Yingchun Department of Mathematics, Shandong Normal University, Jinan 250014, China 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1997年第4期443-452,共10页
The asymptotic formulae for the third and fourth power moments of Fourier coefficients of cusp forms are proved in this paper.
关键词 Cusp form Fourier coefficients The estimation of mean value Asymptotic formula
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Mean estimation over numeric data with personalized local differential privacy 被引量:2
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作者 Qiao XUE Youwen ZHU Jian WANG 《Frontiers of Computer Science》 SCIE EI CSCD 2022年第3期183-192,共10页
The fast development of the Internet and mobile devices results in a crowdsensing business model,where individuals(users)are willing to contribute their data to help the institution(data collector)analyze and release ... The fast development of the Internet and mobile devices results in a crowdsensing business model,where individuals(users)are willing to contribute their data to help the institution(data collector)analyze and release useful information.However,the reveal of personal data will bring huge privacy threats to users,which will impede the wide application of the crowdsensing model.To settle the problem,the definition of local differential privacy(LDP)is proposed.Afterwards,to respond to the varied privacy preference of users,resear-chers propose a new model,i.e.,personalized local differential privacy(PLDP),which allow users to specify their own privacy parameters.In this paper,we focus on a basic task of calculating the mean value over a single numeric attribute with PLDP.Based on the previous schemes for mean estimation under LDP,we employ PLDP model to design novel schemes(LAP,DCP,PWP)to provide personalized privacy for each user.We then theoretically analysis the worst-case variance of three proposed schemes and conduct experiments on synthetic and real datasets to evaluate the performance of three methods.The theoretical and experimental results show the optimality of PWP in the low privacy regime and a slight advantage of DCP in the high privacy regime. 展开更多
关键词 personalized local differential privacy mean estimation crowdsensing model
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Bayesian edge detector for SAR imagery using discontinuity-adaptive Markov random feld modeling 被引量:2
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作者 Yuan Zhan He You Cai Fuqing 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2013年第6期1534-1543,共10页
Synthetic aperture radar(SAR)image is severely affected by multiplicative speckle noise,which greatly complicates the edge detection.In this paper,by incorporating the discontinuityadaptive Markov random feld(DAMRF... Synthetic aperture radar(SAR)image is severely affected by multiplicative speckle noise,which greatly complicates the edge detection.In this paper,by incorporating the discontinuityadaptive Markov random feld(DAMRF)and maximum a posteriori(MAP)estimation criterion into edge detection,a Bayesian edge detector for SAR imagery is accordingly developed.In the proposed detector,the DAMRF is used as the a priori distribution of the local mean reflectivity,and a maximum a posteriori estimation of it is thus obtained by maximizing the posteriori energy using gradient-descent method.Four normalized ratios constructed in different directions are computed,based on which two edge strength maps(ESMs)are formed.The fnal edge detection result is achieved by fusing the results of two thresholded ESMs.The experimental results with synthetic and real SAR images show that the proposed detector could effciently detect edges in SAR images,and achieve better performance than two popular detectors in terms of Pratt's fgure of merit and visual evaluation in most cases. 展开更多
关键词 Discontinuity-adaptive Markov random feld(DAMRF) Edge detection Local mean reflectivity Maximum a posteriori(MAP) estimation Synthetic aperture radar(SAR
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Estimating mean trabecular bone spacing based on the combination of Hilbert transform and fundamental frequency estimation
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作者 李颖 徐峰 +3 位作者 刘成成 许凯亮 他得安 王威琪 《Science Foundation in China》 CAS 2017年第3期57-71,共15页
Ultrasonic backscatter signals from cancellous bone are sensitive to the microstructure of trabecular bone,and thus enable the feasibility to extract microstructural information of trabecular bone.The mean trabecular ... Ultrasonic backscatter signals from cancellous bone are sensitive to the microstructure of trabecular bone,and thus enable the feasibility to extract microstructural information of trabecular bone.The mean trabecular bone spacing(MTBS)is an important parameter for characterizing bone microstructure.This paper proposes an MTBS estimation method based on the combination of Hilbert transform and fundamental frequency estimation(CHF). The CHF was verified with ultrasonic backscatter signals from simulations and in vitro measurements at a central frequency of 5MHz.The CHF method was compared with the simplified inverse filter tracking(SIFT)method,Simons' Quadratic Transformation(QT)method,Singular Spectrum Analysis(SSA)method,and Spectral Autocorrelation(SAC)method.Monte-Carlo simulations were performed by varying the MTBS,signal-to-noise ratio(SNR),standard deviation of regular spacing(SDRS),amplitude ratio of diffuse scattering to regular scattering(Ad)and frequency dependent attenuation(nBUA).The simulation results showed that the CHF method had a better performance in MTBS estimation under almost all the examination conditions except for SNR.The estimation percentage correct(EPC)was greater than 90% when the MTBS was in the range of 0.4to 1.4mm.In the in vitro measurements,the estimated EPC by the CHF method was91.25±7.81%(mean±standard deviation).A significant correlation was observed for the CHF-estimated MTBS and micro-computed tomography(μ-CT)-measured values(R^2=0.75,p<0.01).These results demonstrate that the CHF method is anti-interference for MTBS estimation and can be used to estimate trabecular bone spacing. 展开更多
关键词 Ultrasonic backscatter Mean trabecular bone spacing estimation Hilbert transform and fundamental frequency estimation Cancellous bone microstructure
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