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Revisiting Akaike’s Final Prediction Error and the Generalized Cross Validation Criteria in Regression from the Same Perspective: From Least Squares to Ridge Regression and Smoothing Splines
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作者 Jean Raphael Ndzinga Mvondo Eugène-Patrice Ndong Nguéma 《Open Journal of Statistics》 2023年第5期694-716,共23页
In regression, despite being both aimed at estimating the Mean Squared Prediction Error (MSPE), Akaike’s Final Prediction Error (FPE) and the Generalized Cross Validation (GCV) selection criteria are usually derived ... In regression, despite being both aimed at estimating the Mean Squared Prediction Error (MSPE), Akaike’s Final Prediction Error (FPE) and the Generalized Cross Validation (GCV) selection criteria are usually derived from two quite different perspectives. Here, settling on the most commonly accepted definition of the MSPE as the expectation of the squared prediction error loss, we provide theoretical expressions for it, valid for any linear model (LM) fitter, be it under random or non random designs. Specializing these MSPE expressions for each of them, we are able to derive closed formulas of the MSPE for some of the most popular LM fitters: Ordinary Least Squares (OLS), with or without a full column rank design matrix;Ordinary and Generalized Ridge regression, the latter embedding smoothing splines fitting. For each of these LM fitters, we then deduce a computable estimate of the MSPE which turns out to coincide with Akaike’s FPE. Using a slight variation, we similarly get a class of MSPE estimates coinciding with the classical GCV formula for those same LM fitters. 展开更多
关键词 Linear Model Mean Squared Prediction Error Final Prediction Error Generalized cross validation Least Squares Ridge Regression
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Fast cross validation for regularized extreme learning machine 被引量:8
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作者 Yongping Zhao Kangkang Wang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第5期895-900,共6页
A method for fast l-fold cross validation is proposed for the regularized extreme learning machine(RELM). The computational time of fast l-fold cross validation increases as the fold number decreases, which is opposit... A method for fast l-fold cross validation is proposed for the regularized extreme learning machine(RELM). The computational time of fast l-fold cross validation increases as the fold number decreases, which is opposite to that of naive l-fold cross validation. As opposed to naive l-fold cross validation, fast l-fold cross validation takes the advantage in terms of computational time, especially for the large fold number such as l > 20. To corroborate the efficacy and feasibility of fast l-fold cross validation,experiments on five benchmark regression data sets are evaluated. 展开更多
关键词 交叉验证 学习机 正极 计算时间 验证方法 数据集
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Efficient strategies for leave-one-out cross validation for genomic best linear unbiased prediction 被引量:1
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作者 Hao Cheng Dorian J.Garrick Rohan L.Fernando 《Journal of Animal Science and Biotechnology》 SCIE CAS CSCD 2017年第3期733-737,共5页
Background: A random multiple-regression model that simultaneously fit all allele substitution effects for additive markers or haplotypes as uncorrelated random effects was proposed for Best Linear Unbiased Prediction... Background: A random multiple-regression model that simultaneously fit all allele substitution effects for additive markers or haplotypes as uncorrelated random effects was proposed for Best Linear Unbiased Prediction, using whole-genome data. Leave-one-out cross validation can be used to quantify the predictive ability of a statistical model.Methods: Naive application of Leave-one-out cross validation is computationally intensive because the training and validation analyses need to be repeated n times, once for each observation. Efficient Leave-one-out cross validation strategies are presented here, requiring little more effort than a single analysis.Results: Efficient Leave-one-out cross validation strategies is 786 times faster than the naive application for a simulated dataset with 1,000 observations and 10,000 markers and 99 times faster with 1,000 observations and 100 markers. These efficiencies relative to the naive approach using the same model will increase with increases in the number of observations.Conclusions: Efficient Leave-one-out cross validation strategies are presented here, requiring little more effort than a single analysis. 展开更多
关键词 最优线性无偏预测 交叉验证 基因组 多元回归模型 标记基因 等位基因 预测能力 统计模型
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Handwriting Classification Based on Support Vector Machine with Cross Validation 被引量:4
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作者 Anith Adibah Hasseim Rubita Sudirman Puspa Inayat Khalid 《Engineering(科研)》 2013年第5期84-87,共4页
Support vector machine (SVM) has been successfully applied for classification in this paper. This paper discussed the basic principle of the SVM at first, and then SVM classifier with polynomial kernel and the Gaussia... Support vector machine (SVM) has been successfully applied for classification in this paper. This paper discussed the basic principle of the SVM at first, and then SVM classifier with polynomial kernel and the Gaussian radial basis function kernel are choosen to determine pupils who have difficulties in writing. The 10-fold cross-validation method for training and validating is introduced. The aim of this paper is to compare the performance of support vector machine with RBF and polynomial kernel used for classifying pupils with or without handwriting difficulties. Experimental results showed that the performance of SVM with RBF kernel is better than the one with polynomial kernel. 展开更多
关键词 SUPPORT VECTOR MACHINE HANDWRITING DIFFICULTIES cross-validation
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在核非参数回归中Cross Validation的渐近最优性
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作者 何仲洛 《湖州师专学报》 1991年第6期1-16,共16页
给定Y<sub>i</sub>=f(t<sub>i</sub>)+ε<sub>i</sub>,i=1,2,…,n,令f<sub>n</sub>(t<sub>j</sub>λ<sup>*</sup>)是回归函数f(t)的核估计并且λ<su... 给定Y<sub>i</sub>=f(t<sub>i</sub>)+ε<sub>i</sub>,i=1,2,…,n,令f<sub>n</sub>(t<sub>j</sub>λ<sup>*</sup>)是回归函数f(t)的核估计并且λ<sup>*</sup>是窗宽基于均方预测误差的Cross—Validation选择.在较弱的矩的条件E<sub>ε<sub>i</sub></sub><sup>2</sup>【∞下,我们研究了f<sub>n</sub>(t<sub>i</sub>λ<sup>*</sup>)的藉助于均方误差的强相合性以及渐近最优性. 展开更多
关键词 回归函数 核估计 非参数 C-V选择
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Method Development and Validation of the Simultaneous Analysis of Methylisothiazolinone, Methylchloroisothiazolinone, Benzisothiazolinone and Bronopol in Washing-Up Liquid
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作者 Etienne Jooken Ruis Amery Boudewijn Meesschaert 《American Journal of Analytical Chemistry》 CAS 2024年第1期43-55,共13页
A method of analysis for the simultaneous determination of methylisothiazolinone (MI), methylchloroisothiazolinone (CMI), benzisothiazolinone (BIT) and Bronopol (BNP) in washing-up liquid was established. The method c... A method of analysis for the simultaneous determination of methylisothiazolinone (MI), methylchloroisothiazolinone (CMI), benzisothiazolinone (BIT) and Bronopol (BNP) in washing-up liquid was established. The method consisted of a gradient HPLC analysis at three different wavelengths. The four compounds could be analyzed with good precision and accuracy. 展开更多
关键词 PRESERVATIVES Analytical validation METHYLISOTHIAZOLINONE Methylchloroisothiazolinone Benzisothiazolinone BRONOPOL HPLC Washing-Up Liquid
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State-selective charge exchange cross sections in collisions of highly-charged sulfur ions with helium and molecular hydrogen
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作者 朱小龙 崔述成 +9 位作者 邢大地 徐佳伟 B.Najjari 赵冬梅 郭大龙 高永 张瑞田 苏茂根 张少锋 马新文 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第2期29-33,共5页
The state-selective cross section data are useful for understanding and modeling the x-ray emission in celestial observations.In the present work,using the cold target recoil ion momentum spectroscopy,for the first ti... The state-selective cross section data are useful for understanding and modeling the x-ray emission in celestial observations.In the present work,using the cold target recoil ion momentum spectroscopy,for the first time we investigated the state-selective single electron capture processes for S^(q+)–He and H_(2)(q=11–15)collision systems at an impact energy of q×20 keV and obtained the relative state-selective cross sections.The results indicate that only a few principal quantum states of the projectile energy level are populated in a single electron capture process.In particular,the increase of the projectile charge state leads to the population of the states with higher principal quantum numbers.It is also shown that the experimental averaged n-shell populations are reproduced well by the over-barrier model.The database is openly available in Science Data Bank at 10.57760/sciencedb.j00113.00091. 展开更多
关键词 highly charged sulfur ion charge exchange state-selective cross sections COLTRIMS
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An internal ballistic model of electromagnetic railgun based on PFN coupled with multi-physical field and experimental validation
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作者 Benfeng Gu Haiyuan Li Baoming Li 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2024年第2期254-261,共8页
To accelerate the practicality of electromagnetic railguns,it is necessary to use a combination of threedimensional numerical simulation and experiments to study the mechanism of bore damage.In this paper,a three-dime... To accelerate the practicality of electromagnetic railguns,it is necessary to use a combination of threedimensional numerical simulation and experiments to study the mechanism of bore damage.In this paper,a three-dimensional numerical model of the augmented railgun with four parallel unconventional rails is introduced to simulate the internal ballistic process and realize the multi-physics field coupling calculation of the rail gun,and a test experiment of a medium-caliber electromagnetic launcher powered by pulse formation network(PFN)is carried out.Various test methods such as spectrometer,fiber grating and high-speed camera are used to test several parameters such as muzzle initial velocity,transient magnetic field strength and stress-strain of rail.Combining the simulation results and experimental data,the damage condition of the contact surface is analyzed. 展开更多
关键词 Internal ballistic modeling Electromagnetic rail gun Multi-physics field coupling Experimental validation PFN
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A Simplified Method for the Stress Analysis of Underground Transfer Structures Crossing Multiple Subway Tunnels
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作者 Shen Yan Dajiang Geng +2 位作者 Ning Dai Mingjian Long Zhicheng Bai 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第6期2893-2915,共23页
According to the design specifications,the construction of extended piles involves traversing the tunnel’s upper region and extending to the underlying rock layer.To address this challenge,a subterranean transfer str... According to the design specifications,the construction of extended piles involves traversing the tunnel’s upper region and extending to the underlying rock layer.To address this challenge,a subterranean transfer structure spanning multiple subway tunnels was proposed.Deliberating on the function of piles in the transfer structure as springs with axial and bending stiffness,and taking into account the force balance and deformation coordination conditions of beams and plates within the transfer structure,we established a simplified mechanical model that incorporates soil stratification by combining it with the Winkler elastic foundation beam model.The resolved established simplifiedmechanicalmodel employed finite difference technology and the Newton-Simpsonmethod,elucidating the mechanical mechanism of the transfer structure.The research findings suggest that the load carried by the upper structural columns can be transferred to the pile foundation beneath the beams through the transfer structure,subsequently reaching the deep soil layer and ensuring minimal impact on adjacent tunnels.The established simplified analysis method can be used for stress analysis of the transfer structure,concurrently considering soil stratification,pile foundation behavior,and plate action.The pile length,pile section size,and beam section size within the transfer structure should account for the characteristics of the upper load,ensuring an even distribution of the beam bending moment. 展开更多
关键词 crossing tunnels transfer structure force mechanism simplify analysis layered soil mass
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Adaptive Robust Servo Control for Vertical Electric Stabilization System of Tank and Experimental Validation
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作者 Darui Lin Xiuye Wang +1 位作者 Yimin Wang Guolai Yang 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2024年第1期326-342,共17页
A tracking stability control problem for the vertical electric stabilization system of moving tank based on adaptive robust servo control is addressed.This paper mainly focuses on two types of possibly fast timevaryin... A tracking stability control problem for the vertical electric stabilization system of moving tank based on adaptive robust servo control is addressed.This paper mainly focuses on two types of possibly fast timevarying but bounded uncertainty within the vertical electric stabilization system:model parameter uncertainty and uncertain nonlinearity.First,the vertical electric stabilization system is constructed as an uncertain nonlinear dynamic system that can reflect the practical mechanics transfer process of the system.Second,the dynamical equation in the form of state space is established by designing the angular tracking error.Third,the comprehensive parameter of system uncertainty is designed to estimate the most conservative effects of uncertainty.Finally,an adaptive robust servo control which can effectively handle the combined effects of complex nonlinearity and uncertainty is proposed.The feasibility of the proposed control strategy under the practical physical condition is validated through the tests on the experimental platform.This paper pioneers the introduction of the internal nonlinearity and uncertainty of the vertical electric stabilization system into the settlement of the tracking stability control problem,and validates the advanced servo control strategy through experiment for the first time. 展开更多
关键词 Adaptive robust servo control Experimental validation Nonlinearity compensation System uncertainty Vertical electric stabilization system
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Using Cross Entropy as a Performance Metric for Quantifying Uncertainty in DNN Image Classifiers: An Application to Classification of Lung Cancer on CT Images
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作者 Eri Matsuyama Masayuki Nishiki +1 位作者 Noriyuki Takahashi Haruyuki Watanabe 《Journal of Biomedical Science and Engineering》 2024年第1期1-12,共12页
Cross entropy is a measure in machine learning and deep learning that assesses the difference between predicted and actual probability distributions. In this study, we propose cross entropy as a performance evaluation... Cross entropy is a measure in machine learning and deep learning that assesses the difference between predicted and actual probability distributions. In this study, we propose cross entropy as a performance evaluation metric for image classifier models and apply it to the CT image classification of lung cancer. A convolutional neural network is employed as the deep neural network (DNN) image classifier, with the residual network (ResNet) 50 chosen as the DNN archi-tecture. The image data used comprise a lung CT image set. Two classification models are built from datasets with varying amounts of data, and lung cancer is categorized into four classes using 10-fold cross-validation. Furthermore, we employ t-distributed stochastic neighbor embedding to visually explain the data distribution after classification. Experimental results demonstrate that cross en-tropy is a highly useful metric for evaluating the reliability of image classifier models. It is noted that for a more comprehensive evaluation of model perfor-mance, combining with other evaluation metrics is considered essential. . 展开更多
关键词 cross Entropy Performance Metrics DNN Image Classifiers Lung Cancer Prediction Uncertainty
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Measurement of the neutron-induced total cross sections of natPb from 0.3 eV to 20 MeV on the Back-n at CSNS
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作者 Jie-Ming Xue Song Feng +14 位作者 Yong-Hao Chen Han Yi Min Xiao Pin-Jing Cheng Xin-Xiang Li Rong Liu Yi-Wei Yang Zi-Jie Han Da-Jun Zhao Hao-Qiang Wang Bao-Qian Li Ji-Rong Zhao Lei-Xun Tang Wen Luo Bo Zheng 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2024年第2期85-93,共9页
The neutron-induced total cross sections of natural lead have been measured in a wide energy range(0.3 eV-20 MeV)on the back-streaming white neutron beamline(Back-n)at the China Spallation Neutron Source.Neutron energ... The neutron-induced total cross sections of natural lead have been measured in a wide energy range(0.3 eV-20 MeV)on the back-streaming white neutron beamline(Back-n)at the China Spallation Neutron Source.Neutron energy was determined by the neutron total cross-section spectrometer using the time-of-flight technique.A fast multi-cell fission chamber was used as the neutron detector,and a 10-mm-thick high-purity natural lead sample was employed for the neutron transmission measurements.The on-beam background was determined using Co,In,Ag,and Cd filters.The excitation function of ^(nat)Pb(n,tot)reaction below 20 MeV was calculated using the TALYS-1.96 nuclear-reaction modeling program.The present results were compared with previous results,the evaluated data available in the five major evaluated nuclear data libraries(i.e.,ENDF/B-VIII.0,JEFF-3.3,JENDL-5,CENDL-3.2,and BROND-3.1),and the theoretical calculation curve.Good agreement was found between the new results and those of previous experiments and with the theoretical curves in the corresponding region.This measurement obtained the neutron total cross section of natural lead with good accuracy over a wide energy range and added experimental data in the resonance energy range.This provides more reliable experimental data for nuclear engineering design and nuclear data evaluation of lead. 展开更多
关键词 Neutron-induced total cross section Natural lead TIME-OF-FLIGHT TALYS-1.96 CSNS Back-n white neutron beamline
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Identifying genetic susceptibility to Aspergillus fumigatus infection using collaborative cross mice and RNA-Seq approach
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作者 Roa'a H.S.Yosief Iqbal M.Lone +3 位作者 Aharon Nachshon Heinz Himmelbauer Irit Gat-Viks Fuad A.Iraqi 《Animal Models and Experimental Medicine》 CAS CSCD 2024年第1期36-47,共12页
Background:Aspergillus fumigatus(Af)is one of the most ubiquitous fungi and its infection potency is suggested to be strongly controlled by the host genetic back-ground.The aim of this study was to search for candidat... Background:Aspergillus fumigatus(Af)is one of the most ubiquitous fungi and its infection potency is suggested to be strongly controlled by the host genetic back-ground.The aim of this study was to search for candidate genes associated with host susceptibility to Aspergillus fumigatus(Af)using an RNAseq approach in CC lines and hepatic gene expression.Methods:We studied 31 male mice from 25 CC lines at 8 weeks old;the mice were infected with Af.Liver tissues were extracted from these mice 5 days post-infection,and next-generation RNA-sequencing(RNAseq)was performed.The GENE-E analysis platform was used to generate a clustered heat map matrix.Results:Significant variation in body weight changes between CC lines was ob-served.Hepatic gene expression revealed 12 top prioritized candidate genes differ-entially expressed in resistant versus susceptible mice based on body weight changes.Interestingly,three candidate genes are located within genomic intervals of the previ-ously mapped quantitative trait loci(QTL),including Gm16270 and Stox1 on chromo-some 10 and Gm11033 on chromosome 8.Conclusions:Our findings emphasize the CC mouse model's power in fine mapping the genetic components underlying susceptibility towards Af.As a next step,eQTL analysis will be performed for our RNA-Seq data.Suggested candidate genes from our study will be further assessed with a human cohort with aspergillosis. 展开更多
关键词 aspergillus fumigatus infection collaborative cross(CC)mice gene expression profile gene-network host susceptibility quantitative trait loci(QTL)mapping RNA-SEQ
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Impacts of monsoon break events in the western North Pacific on the cross-equatorial flows over the Maritime Continent
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作者 Xiaoxuan Zhao Minghao Bi +2 位作者 Ke Xu Jianqi Sun Riyu Lu 《Atmospheric and Oceanic Science Letters》 CSCD 2024年第2期33-38,共6页
本文利用ERA5逐日再分析资料,探讨了1979-2020年间西北太平洋季风中断事件对海洋性大陆越赤道气流的影响.合成结果表明,西北太平洋季风中断事件会造成高,低空越赤道气流减弱,即高层南风异常,低层北风异常,与此相关的环流异常表现为西北... 本文利用ERA5逐日再分析资料,探讨了1979-2020年间西北太平洋季风中断事件对海洋性大陆越赤道气流的影响.合成结果表明,西北太平洋季风中断事件会造成高,低空越赤道气流减弱,即高层南风异常,低层北风异常,与此相关的环流异常表现为西北太平洋高层气旋,低层反气旋的斜压结构。特别的是,西北太平洋季风中断对高空越赤道气流的影响更为显著,92%的季风中断事件都导致高空越赤道气流减弱,而只有70%的事件造成低空越赤道气流减弱,这是由于低空越赤道气流同时还受到赤道中东太平洋海温异常的调控. 展开更多
关键词 西北太平洋夏季风 季风中断 越赤道气流 海洋性大陆
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Subsampling bias and the best-discrepancy systematic cross validation 被引量:1
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作者 Liang Guo Jianya Liu Ruodan Lu 《Science China Mathematics》 SCIE CSCD 2021年第1期197-210,共14页
Statistical machine learning models should be evaluated and validated before putting to work.Conventional k-fold Monte Carlo cross-validation(MCCV)procedure uses a pseudo-random sequence to partition instances into k ... Statistical machine learning models should be evaluated and validated before putting to work.Conventional k-fold Monte Carlo cross-validation(MCCV)procedure uses a pseudo-random sequence to partition instances into k subsets,which usually causes subsampling bias,inflates generalization errors and jeopardizes the reliability and effectiveness of cross-validation.Based on ordered systematic sampling theory in statistics and low-discrepancy sequence theory in number theory,we propose a new k-fold cross-validation procedure by replacing a pseudo-random sequence with a best-discrepancy sequence,which ensures low subsampling bias and leads to more precise expected-prediction-error(EPE)estimates.Experiments with 156 benchmark datasets and three classifiers(logistic regression,decision tree and na?ve bayes)show that in general,our cross-validation procedure can extrude subsampling bias in the MCCV by lowering the EPE around 7.18%and the variances around 26.73%.In comparison,the stratified MCCV can reduce the EPE and variances of the MCCV around 1.58%and 11.85%,respectively.The leave-one-out(LOO)can lower the EPE around 2.50%but its variances are much higher than the any other cross-validation(CV)procedure.The computational time of our cross-validation procedure is just 8.64%of the MCCV,8.67%of the stratified MCCV and 16.72%of the LOO.Experiments also show that our approach is more beneficial for datasets characterized by relatively small size and large aspect ratio.This makes our approach particularly pertinent when solving bioscience classification problems.Our proposed systematic subsampling technique could be generalized to other machine learning algorithms that involve random subsampling mechanism. 展开更多
关键词 subsampling bias cross validation systematic sampling low-discrepancy sequence best-discrepancy sequence
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基于Cross-Validation的小波自适应去噪方法 被引量:4
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作者 黄文清 戴瑜兴 李加升 《湖南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2008年第11期40-43,共4页
小波去噪算法中,阈值的选择非常关键.提出一种自适应阈值选择算法.该算法先通过Cross-Validation方法将噪声干扰信号分成两个子信号,一个用于阈值处理,一个用作参考信号;再采用最深梯度法来寻求一个最优去噪阈值.仿真和实验结果表明:在... 小波去噪算法中,阈值的选择非常关键.提出一种自适应阈值选择算法.该算法先通过Cross-Validation方法将噪声干扰信号分成两个子信号,一个用于阈值处理,一个用作参考信号;再采用最深梯度法来寻求一个最优去噪阈值.仿真和实验结果表明:在均方误差意义上,所提算法去噪效果优于Donoho等提出的VisuShrink和SureShrink两种去噪算法,且不需要带噪信号的任何'先验信息',适应于实际信号去噪处理. 展开更多
关键词 小波变换 cross-validation 自适应滤波 阈值
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Least Squares Model Averaging Based on Generalized Cross Validation 被引量:1
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作者 Xin-min LI Guo-hua ZOU +1 位作者 Xin-yu ZHANG Shang-wei ZHAO 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2021年第3期495-509,共15页
Frequentist model averaging has received much attention from econometricians and statisticians in recent years.A key problem with frequentist model average estimators is the choice of weights.This paper develops a new... Frequentist model averaging has received much attention from econometricians and statisticians in recent years.A key problem with frequentist model average estimators is the choice of weights.This paper develops a new approach of choosing weights based on an approximation of generalized cross validation.The resultant least squares model average estimators are proved to be asymptotically optimal in the sense of achieving the lowest possible squared errors.Especially,the optimality is built under both discrete and continuous weigh sets.Compared with the existing approach based on Mallows criterion,the conditions required for the asymptotic optimality of the proposed method are more reasonable.Simulation studies and real data application show good performance of the proposed estimators. 展开更多
关键词 asymptotic optimality frequentist model averaging generalized cross validation mallows criterion
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基于gBLUP方法及Cross-validation大豆表型精准预测研究 被引量:1
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作者 唐友 郑萍 张继成 《青岛大学学报(自然科学版)》 CAS 2017年第1期56-59,共4页
为了实现提高产量和抵抗病害等能力的目的,需要提高育种水平,通过设计交差验证(Cross-Validation)实验进行大豆基因型和表型数据的分组处理,根据数据的个体和mark的数量进行合理分配,采用gBLUP(genomic Best Linear Unbiased Prediction... 为了实现提高产量和抵抗病害等能力的目的,需要提高育种水平,通过设计交差验证(Cross-Validation)实验进行大豆基因型和表型数据的分组处理,根据数据的个体和mark的数量进行合理分配,采用gBLUP(genomic Best Linear Unbiased Prediction)方法进行表型预测。根据对大豆数据多个性状通过不同分组的对比来得到精确值的范围,为后续的育种分析提供依据。对于只有大豆基因型数据而没有表型数据的情况,需要模拟表型,根据设定遗传力和模拟位点的个数(NQTN)进行模拟,然后再进行不同分组获取精准值,这样扩大了大豆数据的预测灵活性。 展开更多
关键词 交叉验证 表型预测 gBLUP 遗传力
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基于Cross-Validation的电机故障诊断振动数据处理方法 被引量:6
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作者 王惠中 乔林翰 +1 位作者 贺珂珂 段洁 《自动化仪表》 CAS 2018年第4期22-25,共4页
针对牵引电机故障诊断研究中所采用的神经网络方法,提出在模型训练阶段引入K折交叉验证。该方法在划分训练集与测试集期间,使验证集能够遍历所有数据集,从多方向开始学习,从而在一定程度上避免了局部极小的问题。训练完成后,以神经网络... 针对牵引电机故障诊断研究中所采用的神经网络方法,提出在模型训练阶段引入K折交叉验证。该方法在划分训练集与测试集期间,使验证集能够遍历所有数据集,从多方向开始学习,从而在一定程度上避免了局部极小的问题。训练完成后,以神经网络作为分类器进行故障识别。神经网络学习算法采用随机梯度下降的方法,每次投入一组数据集进行训练,大大提高了训练速度。Eclipse+Anaconda仿真结果证明:与传统神经网络电机故障诊断方法相比,该方法可以在一定程度上避免过拟合现象,同时避免局部极小。此外,在Matlab环境下,单独比较支持向量机采用交叉验证前后的故障分类效果。对比结果表明:交叉验证方法从多方向开始学习,对于提升故障诊断的准确率有较好作用。 展开更多
关键词 电机故障诊断 K折交叉验证 随机梯度下降 神经网络 拟合 支持向量机
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非参数回归的L_1-Cross-Validation最近邻中位数估计的强相合性
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作者 郑忠国 杨瑛 《甘肃科学学报》 1993年第3期14-19,共6页
考虑非参数回归模型Y<sub>i</sub>=g(x<sub>i</sub>)+e<sub>i</sub>,i≥1,其中g(x)是待估计的连续函数,{x<sub>i</sub>,i≥1}是非随机的,{e<sub>i</sub>,i≥1}是iid... 考虑非参数回归模型Y<sub>i</sub>=g(x<sub>i</sub>)+e<sub>i</sub>,i≥1,其中g(x)是待估计的连续函数,{x<sub>i</sub>,i≥1}是非随机的,{e<sub>i</sub>,i≥1}是iid随机误差,在本文中,我们讨论最近邻中位数估计(x)=m(Y<sub>(i(1)),…,Y<sub>i(h<sup>*</sup>)</sub></sub>=Yi(1),…,Y<sub>i(h<sup>*</sup>)</sub>之中位数,其中h<sup>*</sup>利用L<sub>1</sub>—Cross—Validation方法选择,在一定条件下,建立了L<sub>1</sub>—Cross—Validation最近邻中位数估计的强相合性。 展开更多
关键词 L1crossvalidation 非参数回归 最近邻中位数估计
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