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A multivariate partial least squares approach to joint association analysis for multiple correlated traits 被引量:3
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作者 Yang Xu Wenming Hu +1 位作者 Zefeng Yang Chenwu Xu 《The Crop Journal》 SCIE CAS CSCD 2016年第1期21-29,共9页
Many complex traits are highly correlated rather than independent. By taking the correlation structure of multiple traits into account, joint association analyses can achieve both higher statistical power and more acc... Many complex traits are highly correlated rather than independent. By taking the correlation structure of multiple traits into account, joint association analyses can achieve both higher statistical power and more accurate estimation. To develop a statistical approach to joint association analysis that includes allele detection and genetic effect estimation, we combined multivariate partial least squares regression with variable selection strategies and selected the optimal model using the Bayesian Information Criterion(BIC). We then performed extensive simulations under varying heritabilities and sample sizes to compare the performance achieved using our method with those obtained by single-trait multilocus methods. Joint association analysis has measurable advantages over single-trait methods, as it exhibits superior gene detection power, especially for pleiotropic genes. Sample size, heritability,polymorphic information content(PIC), and magnitude of gene effects influence the statistical power, accuracy and precision of effect estimation by the joint association analysis. 展开更多
关键词 Association analysis MULTIPLE CORRELATED TRAITS Supersaturated model MULTILOCUS multivariate partial least squares
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ON A FAMILY OF MULTIVARIATE LEAST-SQUARES ORTHOGONAL POLYNOMIALS 被引量:1
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作者 郑成德 王仁宏 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2003年第1期51-58,共8页
In this paper the new notion of multivariate least-squares orthogonal poly-nomials from the rectangular form is introduced. Their existence and uniqueness isstudied and some methods for their recursive computation are... In this paper the new notion of multivariate least-squares orthogonal poly-nomials from the rectangular form is introduced. Their existence and uniqueness isstudied and some methods for their recursive computation are given. As an applica-is constructed. 展开更多
关键词 线性代数 正交多项式 多元最小二乘方 递归计算 多元近似
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A Rank-Order Procedure Applied to an Ethoexperimental Behavior Model—The Multivariate Concentric Square Field<sup>TM </sup>(MCSF) Test
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作者 Bengt J. Meyerson Betty Jurek Erika Roman 《Journal of Behavioral and Brain Science》 2013年第4期350-361,共12页
Designing relevant animal models in order to investigate the neurobiological basis for human mental disorders is an important challenge. The need for new tests to be developed and traditional tests to be improved has ... Designing relevant animal models in order to investigate the neurobiological basis for human mental disorders is an important challenge. The need for new tests to be developed and traditional tests to be improved has recently been em-phasized. The authors propose a multivariate test approach, the multivariate concentric square fieldTM (MCSF) test. To measure and evaluate variation in the behavioral traits, we here put forward a statistical procedure of which the working title is “trend analysis”. Low doses of the benzodiazepine agonist diazepam (DZP;1.0, 1.5, or 2.0 mg/kg) were used for exploring the use of the trend analysis in combination with multivariate data analysis for assessment of MCSF per-formance in rats. The commonly used elevated plus maze (EPM) test was used for comparison. The trend analysis comparing vehicle and the DZP1.5 groups revealed significantly higher general activity and risk-taking behavior in the DZP1.5 rats relative to vehicle rats. This finding was supported by multivariate data analysis procedures. It is concluded that the trend analysis together with multivariate data analysis procedures offers possibilities to extract information and illustrates effects obtained in the MCSF test. Diazepam in doses that have no apparent increase in open arm activity in the EPM was effective to alter the behavior in the MCSF test. The MCSF test and the use of multivariate data analysis and the proposed trend analysis may be useful alternatives to behavioral test batteries and traditionally used tests for the understanding of mechanisms underlying various mental states. Finally, the impact of an ethological reasoning and multivariate measures enabling behavioral profiling of animals may be a useful complementary methodology when phenotyping animals in behavioral neuroscience. 展开更多
关键词 Trend ANALYSIS DIAZEPAM Elevated Plus MAZE multivariate Data ANALYSIS
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Prediction of total nitrogen in water based on UV spectroscopy and Bayesian optimized least squares support vector machine
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作者 ZHENG Peichao YANG Qin +3 位作者 LI Chenglin YIN Xukun WANG Jinmei GUO Lianbo 《Optoelectronics Letters》 2025年第11期698-704,共7页
The total nitrogen(TN)is a major factor contributing to eutrophication and is a crucial parameter in assessing surface water quality.Accurate and rapid methods are crucial for determining the TN content in water.Herei... The total nitrogen(TN)is a major factor contributing to eutrophication and is a crucial parameter in assessing surface water quality.Accurate and rapid methods are crucial for determining the TN content in water.Herein,a fast,highly sensitive,and pollution-free approach is proposed,which combines ultraviolet(UV)absorption spectroscopy with Bayesian optimized least squares support vector machine(LSSVM)for detecting TN content in water.Water samples collected from sampling points near the Yangtze River basin in Chongqing of China were analyzed using national standard methods to measure TN content as reference values.The prediction of TN content in water was achieved by integrating the UV absorption spectra of water samples with LSSVM.To make the model quickly and accurately select the optimal parameters to improve the accuracy of the prediction model,the Bayesian optimization(BO)algorithm was used to optimize the parameters of the LSSVM.Results show that the prediction model performs well in predicting TN concentration,with a high coefficient of prediction determination(R^(2)=0.9413)and a low root mean square error of prediction(RMSE=0.0779 mg/L).Comparative analysis with previous studies indicates that the model used in this paper achieves lower prediction errors and superior predictive performance. 展开更多
关键词 Bayesian optimization EUTROPHICATION total nitrogen tn bayesian optimized least squares support vector machine lssvm least squares support vector machine assessing surface water water quality total nitrogen
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On the Zero Coprime Equivalence of Multivariate Polynomial Matrices
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作者 CHEN Zuo LI Dongmei GUO Xu 《Wuhan University Journal of Natural Sciences》 2025年第1期32-42,共11页
The zero coprime system equivalence is one of important research in the theory of multidimensional system equivalence,and is closely related to zero coprime equivalence of multivariate polynomial matrices.We first dis... The zero coprime system equivalence is one of important research in the theory of multidimensional system equivalence,and is closely related to zero coprime equivalence of multivariate polynomial matrices.We first discuss the relation between zero coprime equivalence and unimodular equivalence for polynomial matrices.Then,we investigate the zero coprime equivalence problem for several classes of polynomial matrices,some novel findings and criteria on reducing these matrices to their Smith normal forms are obtained.Finally,an example is provided to illustrate the main results. 展开更多
关键词 multidimensional system multivariate polynomial matrix zero coprime equivalence unimodular equivalence Smith normal form
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Study of the nuclear mass model by sequential least squares programming
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作者 Hang Yang Cun-Yu Chen +2 位作者 Xiao-Yu Xu Han-Kui Wang You-Bao Wang 《Nuclear Science and Techniques》 2025年第7期204-212,共9页
Nuclear mass is an important property in both nuclear and astrophysics.In this study,we explore an improved mass model that incorporates a higher-order term of symmetry energy using algorithms.The sequential least squ... Nuclear mass is an important property in both nuclear and astrophysics.In this study,we explore an improved mass model that incorporates a higher-order term of symmetry energy using algorithms.The sequential least squares programming(SLSQP)algorithm augments the precision of this multinomial mass model by reducing the error from 1.863 MeV to 1.631 MeV.These algorithms were further examined using 200 sample mass formulae derived from theδE term of the E_(isospin) mass model.The SLSQP method exhibited superior performance compared to the other algorithms in terms of errors and convergence speed.This algorithm is advantageous for handling large-scale multiparameter optimization tasks in nuclear physics. 展开更多
关键词 Nuclear mass model Binding energy Magic nuclei Sequential least squares algorithm
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Multivariate natural gas price forecasting model with feature selection,machine learning and chernobyl disaster optimizer
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作者 Pei Du Xuan-Kai Zhang +1 位作者 Jun-Tao Du Jian-Zhou Wang 《Petroleum Science》 2025年第11期4823-4837,共15页
The significance of accurately forecasting natural gas prices is far-reaching and significant,not only for the stable operation of the energy market,but also as a key element in promoting sustainable development and a... The significance of accurately forecasting natural gas prices is far-reaching and significant,not only for the stable operation of the energy market,but also as a key element in promoting sustainable development and addressing environmental challenges.However,natural gas prices are affected by multiple source factors,presenting complex,unstable nonlinear characteristics hindering the improvement of the prediction accuracy of existing models.To address this issue,this study proposes an innovative multivariate combined forecasting model for natural gas prices.Initially,the study meticulously identifies and introduces 16 variables impacting natural gas prices across five crucial dimensions:the production,marketing,commodities,political and economic indicators of the United States and temperature.Subsequently,this study employs the least absolute shrinkage and selection operator,grey relation analysis,and random forest for dimensionality reduction,effectively screening out the most influential key variables to serve as input features for the subsequent learning model.Building upon this foundation,a suite of machine learning models is constructed to ensure precise natural gas price prediction.To further elevate the predictive performance,an intelligent algorithm for parameter optimization is incorporated,addressing potential limitations of individual models.To thoroughly assess the prediction accuracy of the proposed model,this study conducts three experiments using monthly natural gas trading prices.These experiments incorporate 19 benchmark models for comparative analysis,utilizing five evaluation metrics to quantify forecasting effectiveness.Furthermore,this study conducts in-depth validation of the proposed model's effectiveness through hypothesis testing,discussions on the improvement ratio of forecasting performance,and case studies on other energy prices.The empirical results demonstrate that the multivariate combined forecasting method developed in this study surpasses other comparative models in forecasting accuracy.It offers new perspectives and methodologies for natural gas price forecasting while also providing valuable insights for other energy price forecasting studies. 展开更多
关键词 Natural gas price forecasting multivariate forecasting model Machine learning Chernobyl disaster optimizer
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Non-negative least squares variance component estimation of mixed additive and multiplicative random error model
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作者 Hao Xiao Leyang Wang 《Geodesy and Geodynamics》 2025年第5期617-623,共7页
In the variance component estimation(VCE)of geodetic data,the problem of negative VCE is likely to occur.In the ordinary additive error model,there have been related studies to solve the problem of negative variance c... In the variance component estimation(VCE)of geodetic data,the problem of negative VCE is likely to occur.In the ordinary additive error model,there have been related studies to solve the problem of negative variance components.However,there is still no related research in the mixed additive and multiplicative random error model(MAMREM).Based on the MAMREM,this paper applies the nonnegative least squares variance component estimation(NNLS-VCE)algorithm to this model.The correlation formula and iterative algorithm of NNLS-VCE for MAMREM are derived.The problem of negative variance in VCE for MAMREM is solved.This paper uses the digital simulation example and the Digital Terrain Mode(DTM)to prove the proposed algorithm's validity.The experimental results demonstrated that the proposed algorithm can effectively correct the VCE in MAMREM when there is a negative VCE. 展开更多
关键词 Mixed additive and multiplicative random error model Stochastic model Non-negative least squares variance component estimation
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Application of Least Squares Support Vector Machine for Regression to Reliability Analysis 被引量:22
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作者 郭秩维 白广忱 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2009年第2期160-166,共7页
In order to deal with the issue of huge computational cost very well in direct numerical simulation, the traditional response surface method (RSM) as a classical regression algorithm is used to approximate a functiona... In order to deal with the issue of huge computational cost very well in direct numerical simulation, the traditional response surface method (RSM) as a classical regression algorithm is used to approximate a functional relationship between the state variable and basic variables in reliability design. The algorithm has treated successfully some problems of implicit performance function in reliability analysis. However, its theoretical basis of empirical risk minimization narrows its range of applications for... 展开更多
关键词 mechanism design of spacecraft support vector machine for regression least squares support vector machine for regression Monte Carlo method RELIABILITY implicit performance function
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Quantity of plant leaf area on three major public squares in Kunming City, China 被引量:8
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作者 董燕 赵林森 赵宇翔 《Journal of Forestry Research》 SCIE CAS CSCD 2004年第4期291-294,共4页
Regressive formulae to calculate the quantity of plant leaf area for 13 species of ornamental plants were set up based on investigation data of 30 species on 3 major public squares (Dongfeng square, Shengli square and... Regressive formulae to calculate the quantity of plant leaf area for 13 species of ornamental plants were set up based on investigation data of 30 species on 3 major public squares (Dongfeng square, Shengli square and Guandu square) in Kun-ming City, China, which were applied to calculate quantities of plant leaf area of these 13 species. The quantities of plant leaf area for the other 17 ornamental plant species on these squares were directly measured, and the total quantity of plant leaf area of each studied square was obtained individually. The results showed that the quantity of plant leaf area on Shengli square with ornamental plants structure composed of arbor tree species, shrub tree species and turf grass was highest among the three squares. It is believed that the design model of multi-storied vertical structure and proper tending of plant community could not only increase the quantity of plant leaf area, but also play an important role in generating ecological and landscaping benefits. Some corresponding suggestions were put forward on the basis of comprehensive analyses on the plant leaf area quantity of the three representative squares in Kunming urban area. 展开更多
关键词 squarE Ornamental plants Quantity of plant leaf area Kunming
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Expression of Indigenous Landscapes in the Design of Modern Urban Squares 被引量:1
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作者 吴国荣 郭青媛 王长富 《Journal of Landscape Research》 2010年第4期24-26,30,共4页
Modern urban square landscapes have been evolved to be with more regional and cultural features, yet the phenomenon of duplication is serious in urban square landscapes in China. In this study, the connotation of indi... Modern urban square landscapes have been evolved to be with more regional and cultural features, yet the phenomenon of duplication is serious in urban square landscapes in China. In this study, the connotation of indigenous landscape is analyzed from the perspectives of local culture, integration of Chinese and western cultures, folk cultures and modern marketing, the causes of duplicated urban square landscapes are thoroughly elaborated. In view of the deficiencies of modern urban square landscapes, it is proposed that local plants, local ornamental materials and patterns should be fully applied in square designs, and the expression of detail landscapes should be attached sufficient importance, to completely demonstrate regional features of landscapes and better apply indigenous landscapes into the design of modern urban squares. 展开更多
关键词 URBAN square MODERN landscapes INDIGENIZATION CULTURAL COGNITION Landscape planning
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ONLINE PARSIMONIOUS LEAST SQUARES SUPPORT VECTOR REGRESSION AND ITS APPLICATION 被引量:2
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作者 赵永平 孙健国 王健康 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2009年第4期280-287,共8页
A simple and effective mechanism is proposed to realize the parsimoniousness of the online least squares support vector regression (LS-SVR), and the approach is called the OPLS-SVR for short. Hence, the response tim... A simple and effective mechanism is proposed to realize the parsimoniousness of the online least squares support vector regression (LS-SVR), and the approach is called the OPLS-SVR for short. Hence, the response time is curtailed. Besides, an OPLS-SVR based analytical redundancy technique is presented to cope with the sensor failure and drift problems to guarantee that the provided signals for the aeroengine controller are correct and acceptable. Experiments on the sensor failure and drift show the effectiveness and the validity of the proposed analytical redundancy. 展开更多
关键词 support vector machines SENSORS least squares analytical redundancy aeroengines
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A prediction comparison between univariate and multivariate chaotic time series 被引量:3
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作者 王海燕 朱梅 《Journal of Southeast University(English Edition)》 EI CAS 2003年第4期414-417,共4页
The methods to determine time delays and embedding dimensions in the phase space delay reconstruction of multivariate chaotic time series are proposed. Three nonlinear prediction methods of multivariate chaotic tim... The methods to determine time delays and embedding dimensions in the phase space delay reconstruction of multivariate chaotic time series are proposed. Three nonlinear prediction methods of multivariate chaotic time series including local mean prediction, local linear prediction and BP neural networks prediction are considered. The simulation results obtained by the Lorenz system show that no matter what nonlinear prediction method is used, the prediction error of multivariate chaotic time series is much smaller than the prediction error of univariate time series, even if half of the data of univariate time series are used in multivariate time series. The results also verify that methods to determine the time delays and the embedding dimensions are correct from the view of minimizing the prediction error. 展开更多
关键词 multivariate chaotic time series phase space reconstruction PREDICTION neural networks
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Landscape Design Practices for Urban Squares 被引量:1
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作者 孟瑾 陈良 《Journal of Landscape Research》 2010年第4期38-41,共4页
Urban squares are significant nodes of urban spaces, which should be able to improve urban ecological environment and provide residents with outdoor activity spaces. The authors studied some excellent square designs i... Urban squares are significant nodes of urban spaces, which should be able to improve urban ecological environment and provide residents with outdoor activity spaces. The authors studied some excellent square designs in Inner Mongolia, China and even overseas countries, summarized the standards of "best urban squares" in vision, culture, craft, human-concerned design, science and technology, and then applied such standards in the landscape design of Central Plaza in Zhungeer Banner. Through analyzing surrounding environment and constructions, design schemes with regional and cultural features were created to provide references for designing better green square landscapes which can demonstrate local cultural context and regional cultures, are moderate in size, diversified in spatial form and closely integrated with the social life of citizens. 展开更多
关键词 URBAN squarE Landscape design INNER Mongolia Zhungeer BANNER
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NOVEL WEIGHTED LEAST SQUARES SUPPORT VECTOR REGRESSION FOR THRUST ESTIMATION ON PERFORMANCE DETERIORATION OF AERO-ENGINE 被引量:2
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作者 苏伟生 赵永平 孙健国 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2012年第1期25-32,共8页
A thrust estimator with high precision and excellent real-time performance is needed to mitigate perfor- mance deterioration for future aero-engines. A weight least squares support vector regression is proposed using ... A thrust estimator with high precision and excellent real-time performance is needed to mitigate perfor- mance deterioration for future aero-engines. A weight least squares support vector regression is proposed using a novel weighting strategy. Then a thrust estimator based on the proposed regression is designed for the perfor- mance deterioration. Compared with the existing weighting strategy, the novel one not only satisfies the require- ment of precision but also enhances the real-time performance. Finally, numerical experiments demonstrate the effectiveness and feasibility of the proposed weighted least squares support vector regression for thrust estimator. Key words : intelligent engine control; least squares ; support vector machine ; performance deterioration 展开更多
关键词 intelligent engine control least squares support vector machine performance deterioration
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BOOSTING SPARSE LEAST SQUARES SUPPORT VECTOR REGRESSION (BSLSSVR) AND ITS APPLICATION TO THRUST ESTIMATION 被引量:2
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作者 赵永平 孙健国 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2008年第4期254-261,共8页
In order to realize direct thrust control instead of conventional sensors-based control for aero-engine, a thrust estimator with high accuracy is designed by using the boosting technique to improve the performance of ... In order to realize direct thrust control instead of conventional sensors-based control for aero-engine, a thrust estimator with high accuracy is designed by using the boosting technique to improve the performance of least squares support vector regression (LSSVR). There exist two distinct features compared with the conven- tional boosting technique: (1) Sampling without replacement is used to avoid numerical instability for modeling LSSVR. (2) To realize the sparseness of LSSVR and reduce the computational complexity, only a subset of the training samples is used to construct LSSVR. Thus, this boosting method for LSSVR is called the boosting sparse LSSVR (BSLSSVR). Finally, simulation results show that BSLSSVR-based thrust estimator can satisfy the requirement of direct thrust control, i.e. , maximum absolute value of relative error of thrust estimation is not more than 5‰. 展开更多
关键词 least squares support vector machines direct thrust control boosting technique
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An Effective Multiple Model Least Squares Method in Tracking of a Maneuvering Target 被引量:3
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作者 杨位钦 贾朝晖 《Journal of Beijing Institute of Technology》 EI CAS 1995年第1期35+29-34,共7页
A polynomial model, time origin shifting model(TOSM, is used to describe the trajectory of a moving target .Based on TOSM, a recursive laeast squares(RLS) algorithm with varied forgetting factor is derived for tracki... A polynomial model, time origin shifting model(TOSM, is used to describe the trajectory of a moving target .Based on TOSM, a recursive laeast squares(RLS) algorithm with varied forgetting factor is derived for tracking of a non-maneuvering target. In order to apply this algorithm to maneuvering targets tracking ,a tracking signal is performed on-line to determine what kind of TOSm will be in effect to track a target with different dynamics. An effective multiple model least squares filtering and forecasting method dadpted to real tracking of a maneuvering target is formulated. The algorithm is computationally more effcient than Kalman filter and the percentage improvement from simulations show both of them are considerably alike to some extent. 展开更多
关键词 Kalman filters tracking/recursive least squares maneuvering target polynomial model forgetting factor
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Semi-supervised least squares support vector machine algorithm:application to offshore oil reservoir 被引量:1
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作者 罗伟平 李洪奇 石宁 《Applied Geophysics》 SCIE CSCD 2016年第2期406-415,421,共11页
At the early stages of deep-water oil exploration and development, fewer and further apart wells are drilled than in onshore oilfields. Supervised least squares support vector machine algorithms are used to predict th... At the early stages of deep-water oil exploration and development, fewer and further apart wells are drilled than in onshore oilfields. Supervised least squares support vector machine algorithms are used to predict the reservoir parameters but the prediction accuracy is low. We combined the least squares support vector machine (LSSVM) algorithm with semi-supervised learning and established a semi-supervised regression model, which we call the semi-supervised least squares support vector machine (SLSSVM) model. The iterative matrix inversion is also introduced to improve the training ability and training time of the model. We use the UCI data to test the generalization of a semi-supervised and a supervised LSSVM models. The test results suggest that the generalization performance of the LSSVM model greatly improves and with decreasing training samples the generalization performance is better. Moreover, for small-sample models, the SLSSVM method has higher precision than the semi-supervised K-nearest neighbor (SKNN) method. The new semi- supervised LSSVM algorithm was used to predict the distribution of porosity and sandstone in the Jingzhou study area. 展开更多
关键词 Semi-supervised learning least squares support vector machine seismic attributes reservoir prediction
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Joint multivariate statistical model and its applications to synthetic earthquake predic-tion 被引量:14
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作者 韩天锡 蒋淳 +2 位作者 魏雪丽 韩梅 冯德益 《地震学报》 CSCD 北大核心 2004年第5期523-528,625,共6页
针对目前地震综合预报中的一些问题,利用近30年来迅速发展的多元统计分析中主成分分析、判别分析组成多元统计组合模型,在众多的地震预报指标(预报因子)中采用信息最大化方法,选择对中期预测信息累积贡献率大于90%地震预报指标,分... 针对目前地震综合预报中的一些问题,利用近30年来迅速发展的多元统计分析中主成分分析、判别分析组成多元统计组合模型,在众多的地震预报指标(预报因子)中采用信息最大化方法,选择对中期预测信息累积贡献率大于90%地震预报指标,分别进行相关分析、预测、检验,最终应用马氏距离判别作外推综合预报;并以华北地区(30°~42°N,108°125°E)为例进行模型的应用检验,初步研究已取得了较好的效果. 展开更多
关键词 多元统计组合模型 主成分分析 判别分析 地震综合预报
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Analysis of Current Situation and Countermeasures of Plant Landscapes on Tianjin Urban Squares of China
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作者 孟瑾 陈良 +1 位作者 王月 刘志波 《Journal of Landscape Research》 2011年第11期29-31,35,共4页
Through the survey of plant landscapes on eight representative squares in Tianjin City,the paper had pointed out that plant landscapes on Tianjin squares were improper in terms of plants richness,cultivation layer and... Through the survey of plant landscapes on eight representative squares in Tianjin City,the paper had pointed out that plant landscapes on Tianjin squares were improper in terms of plants richness,cultivation layer and color change.It had suggested selecting regional characteristic tree species,applying salt-tolerant plants,emphasizing the diversity of plants species,highlighting the application of towering arbors,stressing the use of color-leaved plants,and creating abundant plant communities,so as to provide citizens with a more practical and ornamental square landscape environment through improving plant landscapes on squares in Tianjin City. 展开更多
关键词 TIANJIN City squarE Plant LANDSCAPE Current SITUATION COUNTERMEASURES
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