11,141 results
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2. A Study of Intelligent Paper Grouping Model for Adult Higher Education Based on Random Matrix.
- Author
-
Wang, Yan
- Subjects
ADULT education ,HIGHER education ,RANDOM matrices ,DATABASE design ,CHAOS theory ,COMPUTER architecture ,PARTICLE swarm optimization ,COVARIANCE matrices - Abstract
This paper presents a comprehensive study and analysis of the intelligent grouping of papers in adult higher education using a random matrix approach. Using the results of random matrix theory on the eigenvalues of the sample covariance matrix, the energy of each subspace is estimated, and the estimated energy is then used to construct a subspace weighting matrix. The statistical properties of the sample covariance matrix eigenvectors are analyzed using the first-order perturbation approximation, and then, asymptotic results from random matrix theory on the projection of the sample covariance matrix signal subspace to the real signal parametrization are used to obtain the weighting matrix based on the random matrix eigenvectors. Dynamic adjustment according to the fitness of individuals in the population is performed to ensure population diversity, while the combination of the small habitat technique can avoid the algorithm from falling into early convergence. The algorithm introduces chaos theory to optimize the population initialization process and uses the dynamic traversal randomness of chaos to select individuals in the population so that the initial population is close to the desired target solution. The design of the fitness function in the genetic algorithm generally maps the objective function of the problem to the fitness function. A good fitness function can directly reflect the quality of the individuals in the group. Based on the in-depth study of the basic attributes of the test questions and the principles of test paper evaluation, the mathematical model and objective function of intelligent paper grouping are determined by the difficulty, knowledge points, and cognitive level of the test questions as the main constraints, and NCAGA is applied to the intelligent paper grouping method, which better completes the intelligent paper grouping session for the computer system architecture course. In the process of designing the intelligent grouping algorithm, for the situations of premature convergence and convergence to locally optimal solutions that easily occur in the traditional genetic algorithm, this paper adopts the approach of adaptive adjustment of crossover probability and variation probability to improve the algorithm and achieves satisfactory results. Based on extensive business research, this paper completes the requirement analysis of the online practice system based on the intelligent grouping of papers and presents the functional design and database design of the key functional modules in the system in detail. Finally, this paper conducts functional tests on the system and analyses the test results. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
3. INTRODUCING THE DISCUSSION PAPER BY SZÉKELY AND RIZZO
- Author
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Newton, Michael A.
- Published
- 2009
- Full Text
- View/download PDF
4. Discussion of Paper by T. Tjur
- Author
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Bailey, R. A.
- Published
- 1984
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- View/download PDF
5. A Biometrics Invited Paper with Discussion. Some Aspects of Analysis of Covariance
- Author
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Cox, D. R. and McCullagh, P.
- Published
- 1982
- Full Text
- View/download PDF
6. Sparse Coding for Symmetric Positive Definite Matrices with Application to Image Set Classification
- Author
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Ren, Jieyi, Wu, Xiaojun, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, He, Xiaofei, editor, Gao, Xinbo, editor, Zhang, Yanning, editor, Zhou, Zhi-Hua, editor, Liu, Zhi-Yong, editor, Fu, Baochuan, editor, Hu, Fuyuan, editor, and Zhang, Zhancheng, editor
- Published
- 2015
- Full Text
- View/download PDF
7. Bidirectional Covariance Matrices: A Compact and Efficient Data Descriptor for Image Set Classification
- Author
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Ren, Jieyi, Wu, Xiaojun, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, He, Xiaofei, editor, Gao, Xinbo, editor, Zhang, Yanning, editor, Zhou, Zhi-Hua, editor, Liu, Zhi-Yong, editor, Fu, Baochuan, editor, Hu, Fuyuan, editor, and Zhang, Zhancheng, editor
- Published
- 2015
- Full Text
- View/download PDF
8. Comments on a Paper by I. Olkin and M. Vaeth on Two-Way Analysis of Variance with Correlated Errors
- Author
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Walters, D. E. and Rowell, J. G.
- Published
- 1982
- Full Text
- View/download PDF
9. A Comment on a Paper by Prabhakar Murthy concerning the Inverse of the Covariance Matrix for a First Order Moving Average Process
- Author
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Anderson, O. D.
- Published
- 1976
10. Corrections to Papers by Montgomery and Klatt
- Author
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Alt, Francis B.
- Published
- 1976
11. Dirty-Paper Coding Based Secure Transmission for Multiuser Downlink in Cellular Communication Systems.
- Author
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Wang, Bo and Mu, Pengcheng
- Subjects
- *
MULTIUSER channels , *LINEAR network coding , *WIRELESS communications , *BROADCAST channels , *COVARIANCE matrices , *PROBABILITY theory - Abstract
This paper studies the secure transmission in a multiuser broadcast channel where only the statistical channel state information of the eavesdropper is available. We propose to apply secret dirty-paper coding (S-DPC) in this scenario to support the secure transmission of one user and the normal (unclassified) transmission of the other users. By adopting the S-DPC and encoding the secret message in the first place, all the information-bearing signals of the normal transmission are treated as noise by potential eavesdroppers and thus provide secrecy for the secure transmission. In this way, the proposed approach exploits the intrinsic secrecy of multiuser broadcasting and can serve as an energy-efficient alternative to the traditional artificial noise (AN) scheme. To evaluate the secrecy performance of this approach and compare it with the AN scheme, we propose two S-DPC-based secure transmission schemes for maximizing the secrecy rate under constraints on the secrecy outage probability (SOP) and the normal transmission rates. The first scheme directly optimizes the covariance matrices of the transmit signals, and a novel approximation of the intractable SOP constraint is derived to facilitate the optimization. The second scheme combines zero-forcing dirty-paper coding and AN, and the optimization involves only power allocation. We establish efficient numerical algorithms to solve the optimization problems for both schemes. Theoretical and simulation results confirm that, in addition to supporting the normal transmission, the achievable secrecy rates of the proposed schemes can be close to that of the traditional AN scheme, which supports only the secure transmission of one user. [ABSTRACT FROM PUBLISHER]
- Published
- 2017
- Full Text
- View/download PDF
12. Regularization-Based Dual Adaptive Kalman Filter for Identification of Sudden Structural Damage Using Sparse Measurements.
- Author
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Lee, Se-Hyeok and Song, Junho
- Subjects
ADAPTIVE filters ,KALMAN filtering ,PARTICLE swarm optimization ,PARAMETER identification ,FILTER paper ,PARAMETER estimation ,COVARIANCE matrices - Abstract
Featured Application: The dual adaptive filter proposed in this paper can identify sudden change in structural systems under dynamic excitations. The proposed filter method including the tuning process can be applied to a variety of engineering areas in which near-real-time tracking of system parameter is needed. This paper proposes a dual adaptive Kalman filter to identify parameters of a dynamic system that may experience sudden damage by a dynamic excitation such as earthquake ground motion. While various filter techniques have been utilized to estimate system's states, parameters, input (force), or their combinations, the filter proposed in this paper focuses on tracking parameters that may change suddenly using sparse measurements. First, an advanced state-space model of parameter estimation employing a regularization technique is developed to overcome the lack of information in sparse measurements. To avoid inaccurate or biased estimation by conventional filters that use covariance matrices representing time-invariant artificial noises, this paper proposes a dual adaptive filtering, whose slave filter corrects the covariance of the artificial measurement noises in the master filter at every time-step. Since it is generally impossible to tune the proposed dual filter due to sensitivity with respect to parameters selected to describe artificial noises, particle swarm optimization (PSO) is adopted to facilitate optimal performance. Numerical investigations confirm the validity of the proposed method through comparison with other filters and emphasize the need for a thorough tuning process. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
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13. Optimal Sum Rate-Fairness Tradeoff for MIMO Downlink Communications Employing Successive Zero Forcing Dirty Paper Coding.
- Author
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Lu, Hsiao-Feng
- Abstract
New power allocation schemes taking both sum-rate and fairness into account for MIMO downlink communications employing successive zero-forcing dirty paper coding are presented in this letter. Specifically, using a revised l
1 -norm fairness measure that allows for a more comprehensive consideration when users have an unequal number of receive antennas, the optimal tradeoff between sum-rate and fairness for MIMO downlink communications with arbitrary channel statistics is completely characterized. A novel stochastic power allocation scheme capable of achieving this optimal tradeoff is also given. To put the optimal tradeoff into practical use, an explicit rule for selecting operating sum-rate from the tradeoff is then proposed. Simulation results show that the new scheme can yield higher sum-rate and better fairness at the same time. [ABSTRACT FROM AUTHOR]- Published
- 2021
- Full Text
- View/download PDF
14. Lithium Battery SoC Estimation Based on Improved Iterated Extended Kalman Filter.
- Author
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Wang, Xuetao, Gao, Yijun, Lu, Dawei, Li, Yanbo, Du, Kai, and Liu, Weiyu
- Subjects
KALMAN filtering ,ELECTRIC vehicle batteries ,LITHIUM cells ,HYBRID power ,COVARIANCE matrices ,ELECTRIC vehicles - Abstract
Featured Application: The LM-IEKF algorithm proposed in this paper can effectively estimate the state of charge of a lithium-ion battery, and it is suitable for the estimation of an electric vehicle. The error covariance matrix in the IKEF process is modified by the LM algorithm, and it can still maintain a good convergence speed and estimation accuracy in the face of severe current changes. With the application of lithium batteries more and more widely, in order to accurately estimate the state of charge (SoC) of the battery, this paper uses the iterated extended Kalman filter (IEKF) algorithm to estimate the SoC. The Levenberg–Marquardt (LM) method is used to optimize the error covariance matrix of IKEF. Based on the hybrid pulse power characteristics experiment, a second-order Thevenin model with variable parameters is established on the MATLAB platform. The experimental results show that the proposed model is effective under the constant current discharge condition, the Federal Urban Driving Schedule (FUDS) condition, and the Beijing dynamic stress test (BJDST) condition. The results show that the simulation error of the improved LM-IEKF algorithm is less than 2% under different working conditions, which is lower than that of the IKEF algorithm. The improved algorithm has a fast convergence speed to the true value, and it has a good estimation accuracy in the case of large changes in external input current. Additionally, the fluctuation of error is relatively stable, which proves the reliability of the algorithm. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
15. DISCUSSION OF "COAUTHORSHIP AND CITATION NETWORKS FOR STATISTICIANS"
- Author
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Wang, Song and Rohe, Karl
- Published
- 2016
16. Maximum Correntropy Criterion-Based UKF for Loosely Coupling INS and UWB in Indoor Localization.
- Author
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Yan Wang, You Lu, Yuqing Zhou, and Zhijian Zhao
- Subjects
INERTIAL navigation systems ,NONLINEAR regression ,COVARIANCE matrices ,NOISE measurement ,KALMAN filtering - Abstract
Indoor positioning is a key technology in today's intelligent environments, and it plays a crucial role in many application areas. This paper proposed an unscented Kalman filter (UKF) based on the maximum correntropy criterion (MCC) instead of the minimummean square error criterion (MMSE). This innovative approach is applied to the loose coupling of the Inertial Navigation System (INS) and Ultra-Wideband (UWB). By introducing the maximum correntropy criterion, the MCCUKF algorithm dynamically adjusts the covariance matrices of the system noise and the measurement noise, thus enhancing its adaptability to diverse environmental localization requirements. Particularly in the presence of non-Gaussian noise, especially heavy-tailed noise, the MCCUKF exhibits superior accuracy and robustness compared to the traditional UKF. The method initially generates an estimate of the predicted state and covariance matrix through the unscented transform (UT) and then recharacterizes the measurement information using a nonlinear regression method at the cost of theMCC. Subsequently, the state and covariance matrices of the filter are updated by employing the unscented transformation on the measurement equations. Moreover, to mitigate the influence of non-line-of-sight (NLOS) errors positioning accuracy, this paper proposes a k-medoid clustering algorithm based on bisection k-means (Bikmeans). This algorithm preprocesses the UWB distance measurements to yield a more precise position estimation. Simulation results demonstrate that MCCUKF is robust to the uncertainty of UWB and realizes stable integration of INS and UWB systems. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
17. Aviation fuel pump health state assessment based on evidential reasoning and random forests.
- Author
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Zhang, Bangcheng, Chen, Dianxin, Su, Wei, Liu, Tiejun, and Shao, Yubo
- Subjects
AIRCRAFT fuels ,RANDOM forest algorithms ,FUEL pumps ,EVOLUTIONARY algorithms ,COVARIANCE matrices - Abstract
As the power source of the engine, the Fuel Pump(FP) plays a vital role in the safe operation of the aircraft. Due to the complexity of the working mechanism of Aviation Fuel Pumps (AFP) and the strong correlation between the components, the assessment model cannot reflect the health state of the FPs better, while the initial parameters in the assessment model will affect the assessment effect of the model. Therefore, this paper proposes a health status assessment model that can fully integrate monitoring data. To improve the accuracy of the model parameters, the Random Forest algorithm is used to give the feature weights to make up for the limitation of relying on expert knowledge, and the model parameters are optimized by the Covariance Matrix Adaptive Evolutionary Strategy algorithm, which achieves an accurate assessment of the state. Finally, the AFP test bed was built and the AFP was tested. Compared with other methods, the accuracy of the proposed method in this question reaches 96%, which is greatly superior to other methods and verifies the effectiveness of the proposed method. It also provides an outlook on future research directions for health state assessment. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
18. Confidence Intervals for Diffusion Index Forecasts and Inference for Factor-Augmented Regressions
- Author
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Bai, Jushan and Ng, Serena
- Published
- 2006
19. Adaptive Navigation Performance Evaluation Method for Civil Aircraft Navigation Systems with Unknown Time-Varying Sensor Noise.
- Author
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Dai, Yuting, Lai, Jizhou, Zhang, Qieqie, Li, Zhimin, and Liu, Rui
- Subjects
COVARIANCE matrices ,TIME-varying systems ,PROBLEM solving ,EVALUATION methodology ,NAVIGATION - Abstract
During civil aviation flights, the aircraft needs to accurately monitor the real-time navigation capability and determine whether the onboard navigation system performance meets the required navigation performance (RNP). The airborne flight management system (FMS) uses actual navigation performance (ANP) to quantitatively calculate the uncertainty of aircraft position estimation, and its evaluation accuracy is highly dependent on the position estimation covariance matrix (PECM) provided by the airborne integrated navigation system. This paper proposed an adaptive PECM estimation method based on variational Bayes (VB) to solve the problem of ANP misevaluation, which is caused by the traditional simple ANP model failing to accurately estimate PECM under unknown time-varying noise. Combined with the 3D ANP model proposed in this paper, the accuracy of ANP evaluation can be significantly improved. This enhancement contributes to ensured navigation integrity and operational safety during civil flight. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
20. A Student Performance Prediction Model Based on Hierarchical Belief Rule Base with Interpretability.
- Author
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Liang, Minjie, Zhou, Guohui, He, Wei, Chen, Haobing, and Qian, Jidong
- Subjects
OPTIMIZATION algorithms ,BIOLOGICAL evolution ,EDUCATIONAL planning ,COVARIANCE matrices ,INDIVIDUALIZED instruction - Abstract
Predicting student performance in the future is a crucial behavior prediction problem in education. By predicting student performance, educational experts can provide individualized instruction, optimize the allocation of resources, and develop educational strategies. If the prediction results are unreliable, it is difficult to earn the trust of educational experts. Therefore, prediction methods need to satisfy the requirement of interpretability. For this reason, the prediction model is constructed in this paper using belief rule base (BRB). BRB not only combines expert knowledge, but also has good interpretability. There are two problems in applying BRB to student performance prediction: first, in the modeling process, the system is too complex due to the large number of indicators involved. Secondly, the interpretability of the model can be compromised during the optimization process. To overcome these challenges, this paper introduces a hierarchical belief rule base with interpretability (HBRB-I) for student performance prediction. First, it analyzes how the HBRB-I model achieves interpretability. Then, an attribute grouping method is proposed to construct a hierarchical structure by reasonably organizing the indicators, so as to effectively reduce the complexity of the model. Finally, an objective function considering interpretability is designed and the projected covariance matrix adaptive evolution strategy (P-CMA-ES) optimization algorithm is improved. The aim is to ensure that the model remains interpretable after optimization. By conducting experiments on the student performance dataset, it is demonstrated that the proposed model performs well in terms of both accuracy and interpretability. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
21. Dynamic phasor measurement algorithm based on high-precision time synchronization.
- Author
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Jie Zhang, Fuxin Li, Zhengwei Chang, Chunhua Hu, Chun Liu, and Sihao Tang
- Subjects
PHASOR measurement ,COVARIANCE matrices ,ELECTRIC power ,ELECTRIC power distribution grids ,SYNCHRONIZATION ,ALGORITHMS ,KALMAN filtering - Abstract
Ensuring the swift and precise tracking of power system signal parameters, especially the frequency, is imperative for the secure and stable operation of power grids. In instances of faults within the distribution network, abrupt changes in frequency may occur, presenting a challenge for existing algorithms that struggle to effectively track such signal variations. Addressing the need for enhanced performance in the face of frequency mutations, this paper introduces an innovative approach--the Covariance Reconstruction Extended Kalman Filter (CREKF) algorithm. Initially, the dynamic signal model of electric power is meticulously analyzed, establishing a dynamic signal relationship based on high-precision time source sampling tailored to the signal model's characteristics. Subsequently, the filter gain, covariance matrix, and variance iteration equation are determined based on the signal relationship among three sampling points. In a final step, recognizing the impact of the covariance matrix on algorithmic tracking ability, the paper proposes a covariance matrix reset mechanism utilizing hysteresis induced by output errors. Through extensive verification with simulated signals, the results conclusively demonstrate that the CREKF algorithm exhibits superior measurement accuracy and accelerated tracking speed when confronted with mutating signals. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
22. Blind Noisy Image Quality Assessment Using Spatial, Frequency and Wavelet Statistical Features.
- Author
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Nay Chi Lynn, Yosuke Sugiura, and Tetsuya Shimamura
- Subjects
IMAGE quality analysis ,FEATURE extraction ,COVARIANCE matrices ,STANDARD deviations ,POWER spectra - Abstract
In this paper, we propose a blind noisy image quality estimation method of simultaneously utilizing three statistical features extracted from three different domains of the input noisy image. The statistical features used in this paper are (i) eigen-based variance by the covariance matrix of image blocks in the spatial domain, (ii) the spectral entropy of the power spectrum in the frequency domain, and the standard deviation in the wavelet domain. The extracted statistical features are fed into an extreme learning machine algorithm for mapping into perceptual quality scores. The model is trained and tested on images with six common noise distortion types commonly occurring in real-world applications: additive white Gaussian noise, additive Gaussian noise in color component, high-frequency noise, masked noise, impulse noise, and multiplicative noise. For the CSIQ, TID2008, TID2013, and KADID10k databases, the experimental results show that our method covers noise distortions wider than those of the conventional methods and achieves consistently better performance for blind noisy image quality assessment. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
23. A topology optimization of on-chip planar inductor based on evolutional on/off method and CMA-ES.
- Author
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Sato, Takahiro and Watanabe, Kota
- Subjects
TOPOLOGY ,COVARIANCE matrices ,PROBLEM solving - Abstract
Purpose: There are few reports that evolutional topology optimization methods are applied to the conductor geometry design problems. This paper aims to propose an evolutional topology optimization method is applied to the conductor design problems of an on-chip inductor model. Design/methodology/approach: This paper presents a topology optimization method for conductor shape designs. This method is based on the normalized Gaussian network-based evolutional on/off topology optimization method and the covariance matrix adaptation evolution strategy. As a target device, an on-chip planer inductor is used, and single- and multi-objective optimization problems are defined. These optimization problems are solved by the proposed method. Findings: Through the single- and multi-objective optimizations of the on-chip inductor, it is shown that the conductor shapes of the inductor can be optimized based on the proposed methods. Originality/value: The proposed topology optimization method is applicable to the conductor design problems in that the connectivity of the shapes is strongly required. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
24. Discussion on the paper "Considerations of multiple imputation approaches for handling missing data in clinical trials", by H Quan, L Qi, X Luo, and L Darchy.
- Author
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Liu, Guanghan, Jin, Man, and Pang, Lei
- Subjects
- *
MULTIPLE imputation (Statistics) , *CLINICAL trials , *TREATMENT effectiveness , *INFERENTIAL statistics , *COVARIANCE matrices - Published
- 2020
- Full Text
- View/download PDF
25. The Covariance Structure of Earnings in Great Britain, 1991-1999
- Author
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Ramos, Xavier
- Published
- 2003
26. A Novel Weighted Block Sparse DOA Estimation Based on Signal Subspace under Unknown Mutual Coupling.
- Author
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Liu, Yulong, Yin, Yingzeng, Lu, Hongmin, and Tong, Kuan
- Subjects
COVARIANCE matrices ,PROBLEM solving ,EIGENVALUES - Abstract
In this paper, a novel weighted block sparse method based on the signal subspace is proposed to realize the Direction-of-Arrival (DOA) estimation under unknown mutual coupling in the uniform linear array. Firstly, the signal subspace is obtained by decomposing the eigenvalues of the sampling covariance matrix. Then, a block sparse model is established based on the deformation of the product of the mutual coupling matrix and the steering vector. Secondly, a suitable set of weighted coefficients is calculated to enhance sparsity. Finally, the optimization problem is transformed into a second-order cone (SOC) problem and solved. Compared with other algorithms, the simulation results of this paper have better performance on DOA accuracy estimation. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
27. 顾及时变特性的时序极化SAR图像自适应超像素生成方法.
- Author
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叶, 家伟, 汪, 长城, 高, 晗, 沈, 鹏, 宋, 天祎, and 胡, 驰浩
- Subjects
INFORMATION storage & retrieval systems ,COVARIANCE matrices ,DATA visualization ,HOMOGENEITY - Abstract
Copyright of Journal of Remote Sensing is the property of Editorial Office of Journal of Remote Sensing & Science Publishing Co. and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Published
- 2024
- Full Text
- View/download PDF
28. Pao-Lu Hsu (Xu, Bao-lu): The Grandparent of Probability and Statistics in China
- Author
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Chen, Dayue and Olkin, Ingram
- Published
- 2012
29. Impact of a time-dependent background error covariance matrix on air quality analysis.
- Author
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Jaumouille, E., Massart, S., Piacentini, A., Cariolle, D., and Peuch, V.-H.
- Subjects
OZONE ,COVARIANCE matrices ,AIR quality ,EARTH sciences - Abstract
The article presents a study which aims to describe the influence of different characteristics of assimilation system on the surface ozone in Europe. It states that the evaluation of the background error covariance matrix (BECM) was emphasized. The result of the study shows that the data assimilation system was efficient in bring the model assimilations closer to observations.
- Published
- 2012
- Full Text
- View/download PDF
30. Multivariate localization methods for ensemble Kalman filtering.
- Author
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Roh, S., Jun, M., Szunyogh, I., and Genton, M. G.
- Subjects
MULTIVARIATE analysis ,KALMAN filtering ,STATISTICAL ensembles ,COVARIANCE matrices ,LOCALIZATION (Mathematics) - Abstract
In ensemble Kalman filtering (EnKF), the small number of ensemble members that is feasible to use in a practical data assimilation application leads to sampling variability of the estimates of the background error covariances. The standard approach to reducing the effects of this sampling variability, which has also been found to be highly efficient in improving the performance of EnKF, is the localization of the estimates of the covariances. One family of localization techniques is based on taking the Schur (entry-wise) product of the ensemble-based sample covariance matrix and a correlation matrix whose entries are obtained by the discretization of a distance-dependent correlation function. While the proper definition of the localization function for a single state variable has been extensively investigated, a rigorous definition of the localization function for multiple state variables has been seldom considered. This paper introduces two strategies for the construction of localization functions for multiple state variables. The proposed localization functions are tested by assimilating simulated observations experiments into the bivariate Lorenz 95 model with their help. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
31. Interpreting SBUV smoothing errors: an example using the Quasi-Biennial Oscillation.
- Author
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Kramarova, N. A., Bhartia, P. K., Frith, S. M., McPeters, R. D., and Stolarski, R. S.
- Subjects
QUASI-biennial oscillation (Meteorology) ,ATMOSPHERIC research ,OZONE layer ,STRATOSPHERE ,COVARIANCE matrices - Abstract
The Solar Backscattered Ultraviolet (SBUV) observing system consists of a series of instruments that have been measuring both total ozone and the ozone profile since 1970. SBUV measures the profile in the upper stratosphere with a resolution that is adequate to resolve most of the important features of that region. In the lower stratosphere the limited vertical resolution of the SBUV system means that there are components of the profile variability that SBUV cannot measure. The smoothing error, as defined in the Optimal Estimation retrieval method, describes the components of the profile variability that the SBUV observing system cannot measure. In this paper we provide a simple visual interpretation of the SBUV smoothing error by comparing SBUV ozone anomalies in the lower tropical stratosphere associated with the Quasi Biennial Oscillation (QBO) to anomalies obtained from the Aura Microwave Limb Sounder (MLS). We describe a methodology for estimating the SBUV smoothing error for monthly zonal mean (mzm) profiles. We construct covariance matrices that describe the statistics of the inter-annual ozone variability using a 6-yr record of Aura MLS and ozonesonde data. We find that the smoothing error is of the order of 1% between 10 hPa and 1 hPa, increasing up to 15-20% in the troposphere and up to 5% in the mesosphere. The smoothing error for total ozone columns is small, mostly less than 0.5 %. We demonstrate that by merging the partial ozone columns from several layers in the lower strato sphere/troposphere into one thick layer, we can minimize the smoothing error. We recommend using the following layer combinations to reduce the smoothing error to about 1 %: surface to 25 hPa (16 hPa) outside (inside) of the narrow equatorial zone 20° S- 20° N. [ABSTRACT FROM AUTHOR]
- Published
- 2013
- Full Text
- View/download PDF
32. Performance of a Double RIS Communication System Aided by Partially Active Elements.
- Author
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Yoo, Seung-Geun, Kim, Min-A, Kim, Jin-Woo, Park, Sang-Wook, You, Young-Hwan, and Song, Hyoung-Kyu
- Subjects
SINGULAR value decomposition ,COVARIANCE matrices ,WIRELESS communications ,TELECOMMUNICATION systems ,ENERGY consumption - Abstract
Reconfigurable intelligent surface (RIS) has emerged as a promising technology to enhance the spectral efficiency of wireless communication systems. However, if there are many obstacles between the RIS and users, a single RIS may not provide sufficient performance. For this reason, a double RIS-aided communication system is proposed in this paper. However, this system also has a problem: the signal is attenuated three times due to the three channels created by the double RIS. To overcome these attenuations, an active RIS is proposed in this paper. An active RIS is almost the same as a conventional RIS, except for the included amplifier. Comprehensively, the proposed system overcomes various obstacles and attenuations. In this paper, an active RIS is applied to the second RIS. To reduce the power consumption of active elements, a partially active RIS is applied. To optimize the RIS elements, the sum of the covariance matrix is found by using channels related to each RIS, and the right singular vector is exploited using singular value decomposition for the sum of the covariance matrix. Then, the singular value of the sum of the covariance value is checked to determine which element is the active element. Simulation results show that the proposed system has better sum rate performance compared to a single RIS system. Although it has a lower sum rate performance compared to a double RIS with fully active elements, the proposed system will be more attractive in the future because it has much better energy efficiency. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
33. An Improved UWB/IMU Tightly Coupled Positioning Algorithm Study.
- Author
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Zou, Airu, Hu, Wenwu, Luo, Yahui, and Jiang, Ping
- Subjects
KALMAN filtering ,UNITS of measurement ,ALGORITHMS ,COVARIANCE matrices ,INFORMATION measurement - Abstract
The combination of ultra-wide band (UWB) and inertial measurement unit (IMU) positioning is subject to random errors and non-line-of-sight errors, and in this paper, an improved positioning strategy is proposed to address this problem. The Kalman filter (KF) is used to pre-process the original UWB measurements, suppressing the effect of range mutation values of UWB on combined positioning, and the extended Kalman filter (EKF) is used to fuse the UWB measurements with the IMU measurements, with the difference between the two measurements used as the measurement information. The non-line-of-sight (NLOS) measurement information is also used. The optimal estimate is obtained by adjusting the system measurement noise covariance matrix in real time, according to the judgment result, and suppressing the interference of non-line-of-sight factors. The optimal estimate of the current state is fed back to the UWB range value in the next state, and the range value is dynamically adjusted after one-dimensional filtering pre-processing. Compared with conventional tightly coupled positioning, the positioning accuracy of the method in this paper is improved by 46.15% in the field experimental positioning results. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
34. A DOA Estimation Method Based on an Improved Transformer Model for Uniform Linear Arrays with Low SNR.
- Author
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Wei Wang, Lang Zhou, Kun Ye, Haixin Sun, and Shaohua Hong
- Subjects
COVARIANCE matrices ,SIGNAL-to-noise ratio ,SONAR - Abstract
In this paper, the Star-Transformer model is improved to obtain more accurate direction of arrivals (DOA) estimation of underwater sonar uniform linear array (ULA) under low signal-to-noise ratio (SNR) conditions. The ideal real covariance matrix is divided into three channels: real part channel, imaginary part channel, and phase channel to obtain more input features. In training, the real covariance matrix is used under different SNRs. In testing, the covariance matrix of samples in the real environment is used as input. The on-grid form is used to estimate the DOA of multiple signal sources, which is modelled as a multilabel classification problem. The results show that the model can be effective and can still have a good DOA estimation performance under the conditions of trained and untrained SNRs, different snapshots, signal power mismatch, different separation angles, signal correlation, and so on. It shows that the model has excellent robustness. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
35. Event-Triggered State Filter Estimation for Nonlinear Systems with Packet Dropout and Correlated Noise.
- Author
-
Cheng, Guorui, Liu, Jingang, and Song, Shenmin
- Subjects
KALMAN filtering ,NONLINEAR estimation ,NONLINEAR systems ,COVARIANCE matrices ,DATA transmission systems ,RADIAL distribution function - Abstract
This paper begins by exploring the challenge of event-triggered state estimations in nonlinear systems, grappling with packet dropout and correlated noise. A communication mechanism is introduced that determines whether to transmit measurement values based on whether event-triggered conditions are violated, thereby minimizing redundant communication data. In designing the filter, noise decorrelation is initially conducted, followed by the integration of the event-triggered mechanism and the unreliable network transmission system for state estimator development. Subsequently, by combining the three-degree spherical–radial cubature rule, the numerical implementation steps of the proposed state estimation framework are outlined. The performance estimation analysis highlights that by adjusting the event-triggered threshold appropriately, the estimation performance and transmission rate can be effectively balanced. It is established that when there is a lower bound on the packet dropout rate, the covariance matrix of the state estimation error remains bounded, and the stochastic stability of the state estimation error is also confirmed. Ultimately, the algorithm and conclusions that are proposed in this paper are validated through a simulation example of a target tracking system. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
36. The Relative Importance of Permanent and Transitory Components: Identification and Some Theoretical Bounds
- Author
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Quah, Danny
- Published
- 1992
- Full Text
- View/download PDF
37. Linear hypothesis testing in high-dimensional one-way MANOVA: a new normal reference approach.
- Author
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Zhu, Tianming and Zhang, Jin-Ting
- Subjects
MULTIVARIATE analysis ,NULL hypothesis ,COVARIANCE matrices ,HYPOTHESIS ,SAMPLE size (Statistics) ,ONE-way analysis of variance - Abstract
For the general linear hypothesis testing problem for high-dimensional data, several interesting tests have been proposed in the literature. Most of them have imposed strong assumptions on the underlying covariance matrix so that their test statistics under the null hypothesis are asymptotically normally distributed. In practice, however, these strong assumptions may not be satisfied or hardly be checked so that these tests are often applied blindly in real data analysis. Their empirical sizes may then be much larger or smaller than the nominal size. For these tests, this is a size control problem which cannot be overcome via purely increasing the sample size to infinity. To overcome this difficulty, in this paper, a new normal-reference test using the centralized L 2 -norm based test statistic with three cumulant matched chi-square approximation is proposed and studied. Some theoretical discussion and two simulation studies demonstrate that in terms of size control, the new normal-reference test performs very well regardless of if the high-dimensional data are nearly uncorrelated, moderately correlated, or highly correlated and it outperforms two existing competitors substantially. Two real high-dimensional data examples motivate and illustrate the new normal-reference test. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
38. The risk interdependence of cryptocurrencies: Before and during the COVID-19 pandemic.
- Author
-
Zeng, Xinru, Li, Zhiyong, Yang, Weiwei, and Huang, Zhengyang
- Subjects
CRYPTOCURRENCIES ,COVID-19 pandemic ,GARCH model ,COVARIANCE matrices - Abstract
In this paper, we measure the risk interdependence of 12 major cryptocurrencies before and during the COVID-19 pandemic, based on a GARCH-Copula-VaR approach and a dynamic network analysis. We find that cryptocurrencies generally show high levels of volatility, speculation, homogeneity and tail risk contagion. Furthermore, the COVID-19 pandemic has a continuous impact on the cryptocurrency market. When financial institutions are increasingly investing in crypto assets, the hidden risks in the cryptocurrency market remain high. Therefore, this paper calls for attention on the cryptocurrency market from both investors and regulators. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
39. Investment and inclusive growth in sub-Saharan Africa.
- Author
-
Adeosun, Opeoluwa Adeniyi, Olomola, Philip Akani, Tabash, Mosab I., and Anagreh, Suhaib
- Subjects
GENERALIZED method of moments ,COVARIANCE matrices - Abstract
Purpose: This paper examined the inclusive growth position of sub-Saharan Africa (SSA) through the metrics of poverty-gap, bottom20 and employment. Through these indicators, the study investigated the effects of domestic-investment on inclusive-growth and established the moderating impact of governance in the domestic investment-inclusive growth nexus. It further accounted for potential nonlinearity and investigated the governance threshold that moderates domestic investment-inclusive growth relationships. Design/methodology/approach: Using a sample of 41-SSA countries, the paper employed the fixed effect (FE) with the Driscoll and Kraay nonparametric consistent covariance matrix estimator, the generalized method of moments (GMM) and the dynamic-panel threshold techniques. Findings: The poverty-gap metric showed that with increasing GDP-growth, the income of the poor falls below the poverty-line, suggesting that GDP-growth episodes may have widened the poverty-gap and contributed minimally to reducing it. Findings revealed insignificant effects of GDP-growth on the bottom-20 metric while the employment-metric indicated that the "jobless-growth" phenomenon remained valid. The authors essentially established that economic growth has not been inclusive but the complementary roles played by domestic-investments and governance are essential requirements for achieving inclusive growth. The threshold-modeling indicated that countries in the upper-regime of governance gained more in reducing poverty gaps, increasing income shared by the bottom-quintile and improving employment for every percentage increase in investment. The authors confirmed nonlinearity and showed that there exists a governance threshold that respective governments in Africa must reach for domestic-investment to enhance inclusive growth. Originality/value: The paper accounted for cross-sectional dependence, nonlinearity and the governance threshold needed for domestic-investment to stimulate inclusive growth. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
40. Bayesian model selection for D-vine pair-copula constructions
- Author
-
MIN, Aleksey and CZADO, Claudia
- Published
- 2011
41. Effects of management thinning on CO2 exchange by a plantation oak woodland in south-eastern England.
- Author
-
Wilkinson, M., Crow, P., Eaton, E. L., and Morison, J. I. L.
- Subjects
CARBON dioxide content of plants ,PLANTATIONS ,CARBON sequestration ,COVARIANCE matrices ,LIDAR - Abstract
Forest thinning, which removes some individual trees from a forest stand at intermediate stages of the rotation, is commonly used as a silvicultural technique and is a management practice that can substantially alter both forest canopy structure and carbon storage. Whilst a proportion of the standing biomass is removed through harvested timber, thinning also removes some of the photosynthetic leaf area and introduces a large pulse of woody residue (brash) to the soil surface which potentially can alter the balance of autotrophic and heterotrophic respiration. Using a combination of eddy covariance (EC) and aerial light detection and ranging (LiDAR) data, this study investi gated the effects of management thinning on the carbon balance and canopy structure in a commercially managed oak plantation in the south-east of England. Whilst thinning had a large effect on the canopy structure, increasing canopy complexity and gap fraction, the effects of thinning on the carbon balance were not as evident. In the first year post thinning, Net Ecosystem Exchange (NEE) was unaffected by the thinning, suggesting that the better illuminated ground vegetation and shrub layer partially compensated for the removed trees. NEE was reduced in the thinned area but not until two years after the thinning had been completed (2009); initially this was associated with an increase in ecosystem respiration (R
eco ). In subsequent years, NEE remained lower with reduced carbon sequestration in fluxes from the thinned area, which we suggest was in part due to heavy defoliation by caterpillars in 2010 reducing GPP in both sectors of the forest, but particularly in the east. [ABSTRACT FROM AUTHOR]- Published
- 2015
- Full Text
- View/download PDF
42. A Multi-Objective Intelligent Optimization Method for Sensor Array Optimization in Distributed SAR-GMTI Radar Systems.
- Author
-
Li, Xianghai, Wang, Rong, Liang, Gengchen, and Yang, Zhiwei
- Subjects
OPTIMIZATION algorithms ,SENSOR arrays ,COVARIANCE matrices ,RADAR ,PROBLEM solving - Abstract
The design and optimization of sensor array configurations is a significant challenge for distributed SAR-GMTI radar systems because the system performance of distributed array radar is a comprehensive result of several conflicting evaluation indicators. This paper developed a multi-objective intelligent optimization method to solve the global optimal problem of array configurations in terms of achieving optimal GMTI performance. Firstly, to formulate the relationship between array configuration and GMTI performance, we established three objective functions derived from evaluating indicators of SAR-GMTI performance. Specifically, in the objective functions, we proposed a novel clutter covariance matrix model that added several typical non-ideal factors of the real-world detection environment. This provides a way to build a bridge between the array configuration, environment clutter, and GMTI performance. Then, we proposed an improved multi-objective snake optimization algorithm (IMOSOA) that combined the Pareto optimization mechanism with snake optimization to solve the multi-objective optimization problem while reconciling the conflicts between different objective functions. Meanwhile, some significant improvements were made to speed up convergence. That is, tent chaotic mapping-based initialization, multi-group coevolution, and individual mutation strategies were applied to solve the non-convergence problem of global searching. Finally, in the case of an airborne SAR-GMTI system, numerical experiments demonstrated that the proposed IMOSOA has superior performance than other contrast methods, especially in terms of GMTI applications. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
43. A complex system health state assessment method with reference value optimization for interpretable BRB.
- Author
-
Zhang, Qingxi, Li, Kangle, Zhang, Guangling, Zhu, Hailong, and He, Wei
- Subjects
OPTIMIZATION algorithms ,REFERENCE values ,CONSTRAINT algorithms ,COVARIANCE matrices - Abstract
Health condition assessment is the basis for formulating and optimizing maintenance strategies of complex systems, which is crucial for ensuring the safe and stable operation of these systems. In complex system health condition assessment, it is not only necessary for the model to handle various uncertainties to ensure the accuracy of assessment results, but also to have a transparent and reasonable assessment process and interpretable, traceable assessment results. belief rule base (BRB) has been widely used as an interpretable modeling method in health condition assessment. However, BRB-based models currently face two issues: (1) inaccuracies in expert-provided parameters that can affect the model's accuracy, and (2) after model optimization, interpretability may be reduced. Therefore, this paper proposes a new method for complex system health condition assessment called interpretable BRB with reference value optimization (I-BRB). Firstly, to address the issue of inaccurate reference values, a reference value optimization algorithm with interpretability constraints is designed, which optimizes the reference values without compromising expert knowledge. Secondly, the remaining parameters are optimized using the projection covariance matrix adaptation evolution strategy (P-CMA-ES) with interpretability constraints to improve the model's accuracy. Finally, a case study evaluating the bearing components of a flywheel system is conducted to validate the proposed method. Experimental results demonstrate that I-BRB achieves higher accuracy in health condition assessment. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
44. Efficient and Robust Adaptive Beamforming Based on Coprime Array Interpolation.
- Author
-
Chen, Siming, Wu, Xiaochuan, Li, Shujie, Deng, Weibo, and Zhang, Xin
- Subjects
COVARIANCE matrices ,DEGREES of freedom ,BEAMFORMING ,COMPUTATIONAL complexity ,INTERPOLATION ,INTERPOLATION algorithms - Abstract
Unlike uniform linear arrays (ULAs), coprime arrays require fewer physical sensors yet provide higher degrees of freedom (DOF) and larger array apertures. However, due to the existence of "holes" in the differential co-array, the target detection performance deteriorates, especially in adaptive beamforming. To address these challenges, this paper proposes an efficient and robust adaptive beamforming algorithm leveraging coprime array interpolation. The algorithm eliminates unwanted signals and uses the Gauss–Legendre quadrature method to reconstruct an Interference-plus-Noise Covariance Matrix (INCM), thereby obtaining the beamforming coefficients. Unlike previous techniques, we utilize a virtual interpolated ULA to expand the aperture, enabling the acquisition of a high-dimensional covariance matrix. Additionally, a projection matrix is constructed to eliminate unwanted signals from the received data, greatly enhancing the accuracy of INCM reconstruction. To address the high computational complexity of integral operations used in most INCM reconstruction algorithms, we propose an approximation based on the Gauss–Legendre quadrature, which reduces the computational load while maintaining accuracy. This algorithm avoids the array aperture loss caused by using only the ULA segment in the difference co-array and improves the accuracy of INCM reconstruction. Simulation and experimental results show that the performance of the proposed algorithm is superior to the compared beamformers and is closer to the optimal beamformer in various scenarios. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
45. WS-ICNN algorithm for robust adaptive beamforming.
- Author
-
Liu, Fulai, Qin, Dongbao, Yang, Shuo, and Du, Ruiyan
- Subjects
CONVOLUTIONAL neural networks ,DIRECTION of arrival estimation ,ARRAY processing ,SIGNAL processing ,COVARIANCE matrices - Abstract
This paper presents a wideband signal (WS) beamforming method based on Inception convolutional neural network (ICNN), named as WS-ICNN algorithm. Firstly, an Inception module is constructed via some convolutional layers with feature maps of different sizes and a pooling layer. It can not only extract different scale information of covariance matrix, but also excavate the spatial correlation information about received wideband signals, so that the inception module can help neural network improve the beamforming output performance. On this basis, an ICNN model is established, which is suitable for wideband beamforming. Then, in order to obtain a good training label for the proposed ICNN model, a taper matrix and a second-order cone programming problem are introduced to calculate a wideband beamforming weight vector label. Based on this label, the training process of the proposed ICNN model is accomplished. Finally, the well-trained ICNN model accepts the input of the covariance matrix, and output the beamforming weight vector. Simulation results demonstrate the performance of the proposed algorithm in the cases of direction-of-arrival estimation error and sensor position error. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
46. Modififed Adaptive RFT with Sample Covariance Matrix Inversion Recursive Estimation.
- Author
-
Haibo Wang, Wenhua Huang, Haichuang Zhang, Tao Ba, and Zhiqiang Yang
- Subjects
MATRIX inversion ,COVARIANCE matrices ,DOPPLER effect ,COMPUTATIONAL complexity ,COUPLINGS (Gearing) - Abstract
Radon-Fourier transform (RFT) is able to effectively overcome the coupling between the range cell migration (RCM) effect and Doppler modulation by searching along range and velocity dimensions jointly for the moving target, which depends on envelope alignment and Doppler phase compensation. However, without effective clutter suppression, clutter would also be intergraded via RFT. Thus, adaptive RFT (ARFT) has been proposed to clutter suppression by introducing an optimal filter weight, which is determined from the clutter's covariance matrix as well as the steering vector. Nevertheless, the ARFT needs to address the difficulty for real implementation, i.e., computational complexity is too high to a large number of pulse samples. It is known that to obtain the inversion the sample covariance matrix (bR-1 cn) is order M3, i.e., O(M3), which is the most complexity consumed step in ARFT. In this paper, we propose a modified adaptive RFT (MARFT) method to obtainbR-1 cn with recursive calculation, which takes the complexity orderM2, i.e., O(M2). Simulations show that the proposed method has the same clutter suppression ability as the conventional ARFT method, while the computational complexity is much lower. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
47. Multi-Object Vehicle Detection and Tracking Algorithm Based on Improved YOLOv8 and ByteTrack.
- Author
-
You, Longxiang, Chen, Yajun, Xiao, Ci, Sun, Chaoyue, and Li, Rongzhen
- Subjects
TRACKING algorithms ,FEATURE extraction ,COMPUTER vision ,KALMAN filtering ,COVARIANCE matrices - Abstract
Vehicle detection and tracking technology plays a crucial role in Intelligent Transportation Systems. However, due to factors such as complex scenarios, diverse scales, and occlusions, issues like false detections, missed detections, and identity switches frequently occur. To address these problems, this paper proposes a multi-object vehicle detection and tracking algorithm based on CDS-YOLOv8 and improved ByteTrack. For vehicle detection, the Context-Guided (CG) module is introduced during the downsampling process to enhance feature extraction capabilities in complex scenarios. The Dilated Reparam Block (DRB) is reconstructed to tackle multi-scale issues, and Soft-NMS replaces the traditional NMS to improve performance in densely populated vehicle scenarios. For vehicle tracking, the state vector and covariance matrix of the Kalman filter are improved to better handle the nonlinear movement of vehicles, and Gaussian Smoothed Interpolation (GSI) is introduced to fill in trajectory gaps caused by detection misses. Experiments conducted on the UA-DETRAC dataset show that the improved algorithm increases detection performance, with mAP@0.5 and mAP@0.5:0.95 improving by 9% and 8.8%, respectively. In terms of tracking performance, mMOTA improves by 6.7%. Additionally, comparative experiments with mainstream detection and two-stage tracking algorithms demonstrate the superior performance of the proposed algorithm. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
48. Constrained minimum variance and covariance steering based on affine disturbance feedback control parameterization.
- Author
-
Balci, Isin M. and Bakolas, Efstathios
- Subjects
- *
STOCHASTIC control theory , *MINIMUM variance estimation , *COVARIANCE matrices , *UNCERTAIN systems , *CONVEX functions , *PARAMETERIZATION , *LINEAR matrix inequalities - Abstract
This paper deals with finite‐horizon minimum‐variance and covariance steering problems subject to constraints. The goal of the minimum variance problem is to steer the state mean of an uncertain system to a prescribed vector while minimizing the trace of its terminal state covariance whereas the goal in the covariance steering problem is to steer the covariance matrix of the terminal state to a prescribed positive definite matrix. The paper proposes a solution approach that relies on a stochastic version of the affine disturbance feedback control parametrization. In this control policy parametrization, the control input at each stage is expressed as an affine function of the history of disturbances that have acted upon the system. It is shown that this particular parametrization reduces the stochastic optimal control problems considered in this paper into tractable convex programs or difference of convex functions programs with essentially the same decision variables. In addition, the paper proposes a variation of this control parametrization that relies on truncated histories of past disturbances, which allows for sub‐optimal controllers to be designed that strike a balance between performance and computational cost. The suboptimality of the truncated policies is formally analyzed and closed form expressions are provided for the performance loss due to the use of the truncation scheme. Finally, the paper concludes with a comparative analysis of the truncated versions of the proposed policy parametrization and other standard policy parametrizations through numerical simulations. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
49. A new kernel two-parameter prediction under multicollinearity in partially linear mixed measurement error model.
- Author
-
Yalaz, Seçil and Kuran, Özge
- Subjects
- *
MULTICOLLINEARITY , *ERRORS-in-variables models , *MEASUREMENT errors , *LENGTH measurement , *MONTE Carlo method , *COVARIANCE matrices , *FORECASTING - Abstract
A Partially linear mixed effects model relating a response
Y to predictors $ (X,Z,T) $ (X,Z,T) with the mean function $ X^{T}\beta +Zb+g(T) $ XTβ+Zb+g(T) is considered in this paper. When the parametric parts' variableX are measured with additive error and there is ill-conditioned data suffering from multicollinearity, a new kernel two-parameter prediction method using the kernel ridge and Liu regression approach is suggested. The kernel two parameter estimator ofβ and the predictor ofb are derived by modifying the likelihood and Henderson methods. Matrix mean square error comparisons are calculated. We also demonstrate that under suitable conditions, the resulting estimator ofβ is asymptotically normal. The situation with an unknown measurement error covariance matrix is handled. A Monte Carlo simulation study, together with an earthquake data example, is compiled to evaluate the effectiveness of the proposed approach at the end of the paper. [ABSTRACT FROM AUTHOR]- Published
- 2024
- Full Text
- View/download PDF
50. Approximating the α-permanent
- Author
-
KOU, S. C. and McCULLAGH, P.
- Published
- 2009
- Full Text
- View/download PDF
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