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POSITIVE DEFINITE KERNEL IN SUPPORT VECTOR MACHINE(SVM) 被引量:3
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作者 谢志鹏 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2009年第2期114-121,共8页
The relationship among Mercer kernel, reproducing kernel and positive definite kernel in support vector machine (SVM) is proved and their roles in SVM are discussed. The quadratic form of the kernel matrix is used t... The relationship among Mercer kernel, reproducing kernel and positive definite kernel in support vector machine (SVM) is proved and their roles in SVM are discussed. The quadratic form of the kernel matrix is used to confirm the positive definiteness and their construction. Based on the Bochner theorem, some translation invariant kernels are checked in their Fourier domain. Some rotation invariant radial kernels are inspected according to the Schoenberg theorem. Finally, the construction of discrete scaling and wavelet kernels, the kernel selection and the kernel parameter learning are discussed. 展开更多
关键词 support vector machines(svms) mercer kernel reproducing kernel positive definite kernel scaling and wavelet kernel
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NEW HYBRID AI-SVM ALGORITHM: COMBINATION OF SUPPORT VECTOR MACHINES AND ARTIFICIAL IMMUNE NETWORKS
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作者 张焕萍 王惠南 宋晓峰 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2006年第4期272-277,共6页
Support vector machines (SVMs) are combined with the artificial immune network (aiNet), thus forming a new hybrid ai-SVM algorithm. The algorithm is used to reduce the number of samples and the training time of SV... Support vector machines (SVMs) are combined with the artificial immune network (aiNet), thus forming a new hybrid ai-SVM algorithm. The algorithm is used to reduce the number of samples and the training time of SVM on large datasets, aiNet is an artificial immune system (AIS) inspired method to perform the automatic data compression, extract the relevant information and retain the topology of the original sample distribution. The output of aiNet is a set of antibodies for representing the input dataset in a simplified way. Then the SVM model is built in the compressed antibody network instead of the original input data. Experimental results show that the ai-SVM algorithm is effective to reduce the computing time and simplify the SVM model, and the accuracy is not decreased. 展开更多
关键词 support vector machine artificial immune network sample reduction
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基于Support Vector Machine和UPLC-QTOF-MS的人参生长年限数字化鉴定分析
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作者 王献瑞 郭晓晗 +6 位作者 张宇 张佳婷 贺方良 荆文光 李明华 程显隆 魏锋 《中国现代中药》 CAS 2024年第12期2049-2055,共7页
目的:基于超高效液相色谱-四极杆飞行时间质谱法(UPLC-QTOF-MS)分析并经量化处理,结合支持向量机(SVM)进行数据建模,对人参生长年限进行数字化鉴定分析。方法:对3、4、5、15年生的人参样品进行UPLC-QTOF-MS分析,以混合质量控制样品为基... 目的:基于超高效液相色谱-四极杆飞行时间质谱法(UPLC-QTOF-MS)分析并经量化处理,结合支持向量机(SVM)进行数据建模,对人参生长年限进行数字化鉴定分析。方法:对3、4、5、15年生的人参样品进行UPLC-QTOF-MS分析,以混合质量控制样品为基准进行峰位校正、提取并经量化处理,获取反映化学成分信息的精确质量数-保留时间数据对(EMRT)。结合SVM进行数据建模,同时在5、10、20折内部交叉验证的基础上,通过准确率(Acc)、精确率(P)、曲线下面积(AUC)等参数进行模型评价。基于所建数据模型进行人参生长年限的鉴定。结果:经量化处理后80批人参均获得6556个EMRT,结合SVM建立的数据模型具有优秀的辨识效果,Acc、P及AUC均大于0.900且外部鉴定验证正确率为100%。结论:基于UPLC-QTOF-MS分析,并结合SVM算法能够高效准确地实现人参生长年限的数字化鉴定,可为中药材生长年限鉴定探索及中药质量控制提供参考。 展开更多
关键词 人参 生长年限 机器学习 支持向量机 数字化 超高效液相色谱-四极杆飞行时间质谱法
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Improved Twin Support Vector Machine Algorithm and Applications in Classification Problems
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作者 Sun Yi Wang Zhouyang 《China Communications》 SCIE CSCD 2024年第5期261-279,共19页
The distribution of data has a significant impact on the results of classification.When the distribution of one class is insignificant compared to the distribution of another class,data imbalance occurs.This will resu... The distribution of data has a significant impact on the results of classification.When the distribution of one class is insignificant compared to the distribution of another class,data imbalance occurs.This will result in rising outlier values and noise.Therefore,the speed and performance of classification could be greatly affected.Given the above problems,this paper starts with the motivation and mathematical representing of classification,puts forward a new classification method based on the relationship between different classification formulations.Combined with the vector characteristics of the actual problem and the choice of matrix characteristics,we firstly analyze the orderly regression to introduce slack variables to solve the constraint problem of the lone point.Then we introduce the fuzzy factors to solve the problem of the gap between the isolated points on the basis of the support vector machine.We introduce the cost control to solve the problem of sample skew.Finally,based on the bi-boundary support vector machine,a twostep weight setting twin classifier is constructed.This can help to identify multitasks with feature-selected patterns without the need for additional optimizers,which solves the problem of large-scale classification that can’t deal effectively with the very low category distribution gap. 展开更多
关键词 FUZZY ordered regression(OR) relaxing variables twin support vector machine
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Application of a compound controller based on fuzzy control and support vector machine to ship's boiler-turbine coordinated control system 被引量:2
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作者 刘胜 李妍妍 《Journal of Marine Science and Application》 2009年第1期33-39,共7页
Multivariables, strong coupling, nonlinearity, and large delays characterize the boiler-turbine coordinated control systems for ship power equipment. To better deal with these conditions, a compound control strategy b... Multivariables, strong coupling, nonlinearity, and large delays characterize the boiler-turbine coordinated control systems for ship power equipment. To better deal with these conditions, a compound control strategy based on a support vector machine (SVM) with inverse identification was proposed and applied to research simulating coordinated control systems. This method combines SVM inverse control and fuzzy control, taking advantage of the merits of SVM inverse controls which can be designed easily and have high reliability, and those of fuzzy controls, which respond rapidly and have good anti-jamming capability and robustness. It ensures the controller can be controlled with near instantaneous adjustments to maintain a steady state, even if the SVM is not trained well. The simulation results show that the control quality of this fuzzy-SVM compound control algorithm is high, with good performance in dynamic response speed, static stability, restraint of overshoot, and robustness. 展开更多
关键词 ship boiler-turbine coordinated system support vector machine inverse control compound control
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融合改进卷积神经网络和层次SVM的鸡蛋外观检测
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作者 姚万鹏 张凌晓 +1 位作者 赵肖峰 王飞成 《食品与机械》 北大核心 2025年第1期158-164,共7页
[目的]实现鸡蛋精细化分类和提高鸡蛋外观检测的准确率。[方法]提出一种融合改进卷积神经网络和层次SVM的鸡蛋外观检测方案。(1)采用鸡蛋机器视觉图像采集设备获取不同方位、不同外观鸡蛋图像,并运用图像增强技术扩充鸡蛋图像数据库。(2... [目的]实现鸡蛋精细化分类和提高鸡蛋外观检测的准确率。[方法]提出一种融合改进卷积神经网络和层次SVM的鸡蛋外观检测方案。(1)采用鸡蛋机器视觉图像采集设备获取不同方位、不同外观鸡蛋图像,并运用图像增强技术扩充鸡蛋图像数据库。(2)设计改进的浣熊优化算法(coati optimization algorithm,COA)和FCM聚类算法,在此基础上对卷积神经网络(convolutional neural network,CNN)模型结构和超参数进行优化,以提升CNN泛化能力。运用优化后的CNN深度学习鸡蛋图像数据库,从而实现鸡蛋外观图像特征的有效提取。(3)建立层次支持向量机鸡蛋外观分类工具,最终实现对鸡蛋外观的准确检测分类。[结果]所提鸡蛋外观检测方案的检测准确率提高了1.74%~4.31%,检测时间降低了21.68%~53.51%。[结论]所提方法能够有效实现对鸡蛋的在线实时精细化分类。 展开更多
关键词 鸡蛋外观 卷积神经网络 浣熊优化算法 支持向量机 特征提取
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基于SVM的列车制动预测模型
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作者 房楠 朱亚男 《时代汽车》 2025年第3期187-189,共3页
列车制动系统是保障列车行车安全和高效运行的关键组成部分,本文提出了一种基于支持向量机(SVM)方法的列车制动预测模型。该模型分析列车制动过程,采用制动实车数据构建适用于SVM的训练数据集,通过优化调节模型参数,利用SVM算法实现了... 列车制动系统是保障列车行车安全和高效运行的关键组成部分,本文提出了一种基于支持向量机(SVM)方法的列车制动预测模型。该模型分析列车制动过程,采用制动实车数据构建适用于SVM的训练数据集,通过优化调节模型参数,利用SVM算法实现了列车制动预测。经线路实车数据验证评估,该模型在3分钟内预测准确度高于97.3%,在列车制动预测中具有可靠的时效性和准确性,能够有效应用于实际列车运行中的制动预测任务。 展开更多
关键词 支持向量机(svm) 列车制动 运行数据
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Identifcation of large-scale goaf instability in underground mine using particle swarm optimization and support vector machine 被引量:14
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作者 Zhou Jian Li Xibing +2 位作者 Hani S.Mitri Wang Shiming Wei Wei 《International Journal of Mining Science and Technology》 SCIE EI 2013年第5期701-707,共7页
An approach which combines particle swarm optimization and support vector machine(PSO–SVM)is proposed to forecast large-scale goaf instability(LSGI).Firstly,influencing factors of goaf safety are analyzed,and followi... An approach which combines particle swarm optimization and support vector machine(PSO–SVM)is proposed to forecast large-scale goaf instability(LSGI).Firstly,influencing factors of goaf safety are analyzed,and following parameters were selected as evaluation indexes in the LSGI:uniaxial compressive strength(UCS)of rock,elastic modulus(E)of rock,rock quality designation(RQD),area ration of pillar(Sp),the ratio of width to height of the pillar(w/h),depth of ore body(H),volume of goaf(V),dip of ore body(a)and area of goaf(Sg).Then LSGI forecasting model by PSO-SVM was established according to the influencing factors.The performance of hybrid model(PSO+SVM=PSO–SVM)has been compared with the grid search method of support vector machine(GSM–SVM)model.The actual data of 40 goafs are applied to research the forecasting ability of the proposed method,and two cases of underground mine are also validated by the proposed model.The results indicated that the heuristic algorithm of PSO can speed up the SVM parameter optimization search,and the predictive ability of the PSO–SVM model with the RBF kernel function is acceptable and robust,which might hold a high potential to become a useful tool in goaf risky prediction research. 展开更多
关键词 GOAF Risk identifcation Underground mine Prediction Particle swarm optimization support vector machine
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Machine learning model based on non-convex penalized huberized-SVM
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作者 Peng Wang Ji Guo Lin-Feng Li 《Journal of Electronic Science and Technology》 EI CAS CSCD 2024年第1期81-94,共14页
The support vector machine(SVM)is a classical machine learning method.Both the hinge loss and least absolute shrinkage and selection operator(LASSO)penalty are usually used in traditional SVMs.However,the hinge loss i... The support vector machine(SVM)is a classical machine learning method.Both the hinge loss and least absolute shrinkage and selection operator(LASSO)penalty are usually used in traditional SVMs.However,the hinge loss is not differentiable,and the LASSO penalty does not have the Oracle property.In this paper,the huberized loss is combined with non-convex penalties to obtain a model that has the advantages of both the computational simplicity and the Oracle property,contributing to higher accuracy than traditional SVMs.It is experimentally demonstrated that the two non-convex huberized-SVM methods,smoothly clipped absolute deviation huberized-SVM(SCAD-HSVM)and minimax concave penalty huberized-SVM(MCP-HSVM),outperform the traditional SVM method in terms of the prediction accuracy and classifier performance.They are also superior in terms of variable selection,especially when there is a high linear correlation between the variables.When they are applied to the prediction of listed companies,the variables that can affect and predict financial distress are accurately filtered out.Among all the indicators,the indicators per share have the greatest influence while those of solvency have the weakest influence.Listed companies can assess the financial situation with the indicators screened by our algorithm and make an early warning of their possible financial distress in advance with higher precision. 展开更多
关键词 Huberized loss machine learning Non-convex penalties support vector machine(svm)
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Small-time scale network traffic prediction based on a local support vector machine regression model 被引量:10
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作者 孟庆芳 陈月辉 彭玉华 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第6期2194-2199,共6页
In this paper we apply the nonlinear time series analysis method to small-time scale traffic measurement data. The prediction-based method is used to determine the embedding dimension of the traffic data. Based on the... In this paper we apply the nonlinear time series analysis method to small-time scale traffic measurement data. The prediction-based method is used to determine the embedding dimension of the traffic data. Based on the reconstructed phase space, the local support vector machine prediction method is used to predict the traffic measurement data, and the BIC-based neighbouring point selection method is used to choose the number of the nearest neighbouring points for the local support vector machine regression model. The experimental results show that the local support vector machine prediction method whose neighbouring points are optimized can effectively predict the small-time scale traffic measurement data and can reproduce the statistical features of real traffic measurements. 展开更多
关键词 network traffic small-time scale nonlinear time series analysis support vector machine regression model
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Lithofacies identi cation using support vector machine based on local deep multi-kernel learning 被引量:12
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作者 Xing-Ye Liu Lin Zhou +1 位作者 Xiao-Hong Chen Jing-Ye Li 《Petroleum Science》 SCIE CAS CSCD 2020年第4期954-966,共13页
Lithofacies identification is a crucial work in reservoir characterization and modeling.The vast inter-well area can be supplemented by facies identification of seismic data.However,the relationship between lithofacie... Lithofacies identification is a crucial work in reservoir characterization and modeling.The vast inter-well area can be supplemented by facies identification of seismic data.However,the relationship between lithofacies and seismic information that is affected by many factors is complicated.Machine learning has received extensive attention in recent years,among which support vector machine(SVM) is a potential method for lithofacies classification.Lithofacies classification involves identifying various types of lithofacies and is generally a nonlinear problem,which needs to be solved by means of the kernel function.Multi-kernel learning SVM is one of the main tools for solving the nonlinear problem about multi-classification.However,it is very difficult to determine the kernel function and the parameters,which is restricted by human factors.Besides,its computational efficiency is low.A lithofacies classification method based on local deep multi-kernel learning support vector machine(LDMKL-SVM) that can consider low-dimensional global features and high-dimensional local features is developed.The method can automatically learn parameters of kernel function and SVM to build a relationship between lithofacies and seismic elastic information.The calculation speed will be expedited at no cost with respect to discriminant accuracy for multi-class lithofacies identification.Both the model data test results and the field data application results certify advantages of the method.This contribution offers an effective method for lithofacies recognition and reservoir prediction by using SVM. 展开更多
关键词 Lithofacies discriminant support vector machine Multi-kernel learning Reservoir prediction machine learning
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Laser-induced breakdown spectroscopy applied to the characterization of rock by support vector machine combined with principal component analysis 被引量:6
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作者 杨洪星 付洪波 +3 位作者 王华东 贾军伟 Markus W Sigrist 董凤忠 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第6期290-295,共6页
Laser-induced breakdown spectroscopy(LIBS) is a versatile tool for both qualitative and quantitative analysis.In this paper,LIBS combined with principal component analysis(PCA) and support vector machine(SVM) is... Laser-induced breakdown spectroscopy(LIBS) is a versatile tool for both qualitative and quantitative analysis.In this paper,LIBS combined with principal component analysis(PCA) and support vector machine(SVM) is applied to rock analysis.Fourteen emission lines including Fe,Mg,Ca,Al,Si,and Ti are selected as analysis lines.A good accuracy(91.38% for the real rock) is achieved by using SVM to analyze the spectroscopic peak area data which are processed by PCA.It can not only reduce the noise and dimensionality which contributes to improving the efficiency of the program,but also solve the problem of linear inseparability by combining PCA and SVM.By this method,the ability of LIBS to classify rock is validated. 展开更多
关键词 laser-induced breakdown spectroscopy(LIBS) principal component analysis(PCA) support vector machinesvm lithology identification
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Casing life prediction using Borda and support vector machine methods 被引量:4
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作者 Xu Zhiqian Yan Xiangzhen Yang Xiujuan 《Petroleum Science》 SCIE CAS CSCD 2010年第3期416-421,共6页
Eight casing failure modes and 32 risk factors in oil and gas wells are given in this paper. According to the quantitative analysis of the influence degree and occurrence probability of risk factors, the Borda counts ... Eight casing failure modes and 32 risk factors in oil and gas wells are given in this paper. According to the quantitative analysis of the influence degree and occurrence probability of risk factors, the Borda counts for failure modes are obtained with the Borda method. The risk indexes of failure modes are derived from the Borda matrix. Based on the support vector machine (SVM), a casing life prediction model is established. In the prediction model, eight risk indexes are defined as input vectors and casing life is defined as the output vector. The ideal model parameters are determined with the training set from 19 wells with casing failure. The casing life prediction software is developed with the SVM model as a predictor. The residual life of 60 wells with casing failure is predicted with the software, and then compared with the actual casing life. The comparison results show that the casing life prediction software with the SVM model has high accuracy. 展开更多
关键词 support vector machine method Borda method life prediction model failure modes RISKFACTORS
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Mandarin Digits Speech Recognition Using Support Vector Machines 被引量:2
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作者 谢湘 匡镜明 《Journal of Beijing Institute of Technology》 EI CAS 2005年第1期9-12,共4页
A method of applying support vector machine (SVM) in speech recognition was proposed, and a speech recognition system for mandarin digits was built up by SVMs. In the system, vectors were linearly extracted from speec... A method of applying support vector machine (SVM) in speech recognition was proposed, and a speech recognition system for mandarin digits was built up by SVMs. In the system, vectors were linearly extracted from speech feature sequence to make up time-aligned input patterns for SVM, and the decisions of several 2-class SVM classifiers were employed for constructing an N-class classifier. Four kinds of SVM kernel functions were compared in the experiments of speaker-independent speech recognition of mandarin digits. And the kernel of radial basis function has the highest accurate rate of 99.33%, which is better than that of the baseline system based on hidden Markov models (HMM) (97.08%). And the experiments also show that SVM can outperform HMM especially when the samples for learning were very limited. 展开更多
关键词 speech recognition support vector machine (svm) kernel function
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Stability prediction of hard rock pillar using support vector machine optimized by three metaheuristic algorithms 被引量:7
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作者 Chuanqi Li Jian Zhou +1 位作者 Kun Du Daniel Dias 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2023年第8期1019-1036,共18页
Hard rock pillar is one of the important structures in engineering design and excavation in underground mines.Accurate and convenient prediction of pillar stability is of great significance for underground space safet... Hard rock pillar is one of the important structures in engineering design and excavation in underground mines.Accurate and convenient prediction of pillar stability is of great significance for underground space safety.This paper aims to develop hybrid support vector machine(SVM)models improved by three metaheuristic algorithms known as grey wolf optimizer(GWO),whale optimization algorithm(WOA)and sparrow search algorithm(SSA)for predicting the hard rock pillar stability.An integrated dataset containing 306 hard rock pillars was established to generate hybrid SVM models.Five parameters including pillar height,pillar width,ratio of pillar width to height,uniaxial compressive strength and pillar stress were set as input parameters.Two global indices,three local indices and the receiver operating characteristic(ROC)curve with the area under the ROC curve(AUC)were utilized to evaluate all hybrid models’performance.The results confirmed that the SSA-SVM model is the best prediction model with the highest values of all global indices and local indices.Nevertheless,the performance of the SSASVM model for predicting the unstable pillar(AUC:0.899)is not as good as those for stable(AUC:0.975)and failed pillars(AUC:0.990).To verify the effectiveness of the proposed models,5 field cases were investigated in a metal mine and other 5 cases were collected from several published works.The validation results indicated that the SSA-SVM model obtained a considerable accuracy,which means that the combination of SVM and metaheuristic algorithms is a feasible approach to predict the pillar stability. 展开更多
关键词 Underground pillar stability Hard rock support vector machine Metaheuristic algorithms
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Evaluation and prediction of blast induced ground vibration using support vector machine 被引量:14
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作者 KHANDELWAL M KANKAR P K HARSHA S P 《Mining Science and Technology》 EI CAS 2010年第1期64-70,共7页
We present the application of Support Vector Machine (SVM) for the prediction of blast induced ground vibration by taking into consideration of maximum charge per delay and distance between blast face to monitoring po... We present the application of Support Vector Machine (SVM) for the prediction of blast induced ground vibration by taking into consideration of maximum charge per delay and distance between blast face to monitoring point. To investigate the suitability of this approach, the predictions by SVM have been compared with conventional predictor equations. Blast vibration study was carried out at Magnesite mine of Pithoragarh, India. Total 170 blast vibrations data sets were recorded at different strate-gic and vulnerable locations in and around to mine. Out of 170 data sets, 150 were used for the training of the SVM network as well as to determine site constants of different conventional predictor equations, whereas, 20 new randomly selected data sets were used to compare the prediction capability of SVM network with conventional predictor equations. Results were compared based on Co-efficient of Determination (CoD) and Mean Absolute Error (MAE) between monitored and predicted values of Peak Particle Veloc-ity (PPV). It was found that SVM gives closer values of predicted PPV as compared to conventional predictor equations. The coef-ficient of determination between measured and predicted PPV by SVM was 0.955, whereas it was 0.262, 0.163, 0.337 and 0.232 by USBM, Langefors-Kihlstrom, Ambraseys-Hendron and Bureau of Indian Standard equations, respectively. The MAE for PPV was 11.13 by SVM, whereas it was 0.973, 1.088, 0.939 and 1.292 by USBM, Langefors-Kihlstrom, Ambraseys-Hendron and Bureau of Indian Standard equations respectively. 展开更多
关键词 blast vibration support vector machine generalised predictor equations
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A real-time neutron-gamma discriminator based on the support vector machine method for the time-of-flight neutron spectrometer 被引量:3
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作者 张伟 吴彤宇 +3 位作者 郑博文 李世平 张轶泼 阴泽杰 《Plasma Science and Technology》 SCIE EI CAS CSCD 2018年第4期170-175,共6页
A new neutron-gamma discriminator based on the support vector machine(SVM) method is proposed to improve the performance of the time-of-flight neutron spectrometer. The neutron detector is an EJ-299-33 plastic scintil... A new neutron-gamma discriminator based on the support vector machine(SVM) method is proposed to improve the performance of the time-of-flight neutron spectrometer. The neutron detector is an EJ-299-33 plastic scintillator with pulse-shape discrimination(PSD) property. The SVM algorithm is implemented in field programmable gate array(FPGA) to carry out the real-time sifting of neutrons in neutron-gamma mixed radiation fields. This study compares the ability of the pulse gradient analysis method and the SVM method. The results show that this SVM discriminator can provide a better discrimination accuracy of 99.1%. The accuracy and performance of the SVM discriminator based on FPGA have been evaluated in the experiments. It can get a figure of merit of 1.30. 展开更多
关键词 plasma diagnosis support vector machine pulse-shape discrimination TOF spectrometer
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Radar Emitter Signal Recognition Using Wavelet Packet Transform and Support Vector Machines 被引量:7
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作者 金炜东 张葛祥 胡来招 《Journal of Southwest Jiaotong University(English Edition)》 2006年第1期15-22,共8页
This paper presents a novel method for radar emitter signal recognition. First, wavelet packet transform (WPT) is introduced to extract features from radar emitter signals. Then, rough set theory is used to select t... This paper presents a novel method for radar emitter signal recognition. First, wavelet packet transform (WPT) is introduced to extract features from radar emitter signals. Then, rough set theory is used to select the optimal feature subset with good discriminability from original feature set, and support vector machines (SVMs) are employed to design classifiers. A large number of experimental results show that the proposed method achieves very high recognition rates for 9 radar emitter signals in a wide range of signal-to-noise rates, and proves a feasible and valid method. 展开更多
关键词 Signal processing Radar emitter signals Wavelet packet transform Rough set theory support vector machine
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Prediction of chaotic systems with multidimensional recurrent least squares support vector machines 被引量:2
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作者 孙建成 周亚同 罗建国 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第6期1208-1215,共8页
In this paper, we propose a multidimensional version of recurrent least squares support vector machines (MDRLS- SVM) to solve the problem about the prediction of chaotic system. To acquire better prediction performa... In this paper, we propose a multidimensional version of recurrent least squares support vector machines (MDRLS- SVM) to solve the problem about the prediction of chaotic system. To acquire better prediction performance, the high-dimensional space, which provides more information on the system than the scalar time series, is first reconstructed utilizing Takens's embedding theorem. Then the MDRLS-SVM instead of traditional RLS-SVM is used in the high- dimensional space, and the prediction performance can be improved from the point of view of reconstructed embedding phase space. In addition, the MDRLS-SVM algorithm is analysed in the context of noise, and we also find that the MDRLS-SVM has lower sensitivity to noise than the RLS-SVM. 展开更多
关键词 chaotic systems support vector machines least squares noise
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Chaotic time series prediction using fuzzy sigmoid kernel-based support vector machines 被引量:2
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作者 刘涵 刘丁 邓凌峰 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第6期1196-1200,共5页
Support vector machines (SVM) have been widely used in chaotic time series predictions in recent years. In order to enhance the prediction efficiency of this method and implement it in hardware, the sigmoid kernel i... Support vector machines (SVM) have been widely used in chaotic time series predictions in recent years. In order to enhance the prediction efficiency of this method and implement it in hardware, the sigmoid kernel in SVM is drawn in a more natural way by using the fuzzy logic method proposed in this paper. This method provides easy hardware implementation and straightforward interpretability. Experiments on two typical chaotic time series predictions have been carried out and the obtained results show that the average CPU time can be reduced significantly at the cost of a small decrease in prediction accuracy, which is favourable for the hardware implementation for chaotic time series prediction. 展开更多
关键词 support vector machines chaotic time series prediction fuzzy sigmoid kernel
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