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DIGITAL PWM OF AC-AC MATRIX CONVERTER BASED ON OUTPUT-VOLTAGE ERROR FUNCTION 认领 引用 被引量：1
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作者 葛红娟 穆新华 +1 位作者 张绍 周波 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2005年第4期307-311,共5页
Based on the output-voltage error function, a novel time discrete modulation technique is proposed for matrix converters （MCs） and time-discrete difference equations of a MC circuit are derived. Switch states of MC ... Based on the output-voltage error function, a novel time discrete modulation technique is proposed for matrix converters （MCs） and time-discrete difference equations of a MC circuit are derived. Switch states of MC are obtained when the output voltage error function is minimized, thus the optimum combination of switch states is derived for the closed-loop control of MC. Meanwhile, advantages of the least calculation workload, the simple process, and the convenient for implementation are brought while switch states are described as space vectors in the α-β coordination system. Simulation and experimental results demonstrate the validity of the time-discrete modulation technique and the feasibility of the control approach. 展开更多
关键词 matrix converter time-discrete modulation error function switch state
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Generalised Error Functions from the Kerr Metric 认领 引用
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作者 唐文林 罗子人 刘润球 《Chinese Physics Letters》 SCIE EI CAS CSCD 2016年第3期12-16,共5页
Motivated by the effort to understand the mathematical structure underlying the Teukolsky equations in a Kerr metric background, a homogeneous integral equation related to the prolate spheroidal function is studied. F... Motivated by the effort to understand the mathematical structure underlying the Teukolsky equations in a Kerr metric background, a homogeneous integral equation related to the prolate spheroidal function is studied. From the consideration of the Fredholm determinant of the integral equation, a family of generalized error function is defined, with which the Fredholm determinant of the sinc kernel is also evaluated. An analytic solution of a special ease of the fifth Painlev~ transcendent is then worked out explicitly. 展开更多
关键词 of is exp in Generalised Error Functions from the Kerr Metric from
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Evaluation of Generalized Error Function via Fast-Converging Power Series 认领 引用
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作者 Serdar Beji 《Advances in Pure Mathematics》 2024年第6期495-514,共20页
A generalized form of the error function, Gp(x)=pΓ(1/p)∫0xe−tpdt, which is directly associated with the gamma function, is evaluated for arbitrary real values of p>1and 0x≤+∞by employing a fast-converging power... A generalized form of the error function, Gp(x)=pΓ(1/p)∫0xe−tpdt, which is directly associated with the gamma function, is evaluated for arbitrary real values of p>1and 0x≤+∞by employing a fast-converging power series expansion developed in resolving the so-called Grandi’s paradox. Comparisons with accurate tabulated values for well-known cases such as the error function are presented using the expansions truncated at various orders. 展开更多
关键词 Generalized Error Function Gamma Function Grandi’s Paradox Fast-Converging Power Series
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Semi-supervised classification based on Markov Random Field and Robust Error Function 认领 引用
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作者 LIN Qing SHAN Ping-ping +1 位作者 WANG Shi-tong ZHAN Yong-zhao 《通讯和计算机（中英文版）》 2009年第4期1-5,共5页
We focus on semi-supervised classifier, where a decision rule is to be learned from labeled and unlabeled data. A model to semi-supervised classification is proposed to overcome the problem induced by mislabeled sampl... We focus on semi-supervised classifier, where a decision rule is to be learned from labeled and unlabeled data. A model to semi-supervised classification is proposed to overcome the problem induced by mislabeled samples. A new energy function based on robust error function is used in Markov Random Field. Also two algorithms based on iterative condition mode and markov chain monte carlo respectively are designed to infer the label of both labeled and unlabeled samples. Our experiments demonstrate that the proposed method is efficient for real-world dataset. 展开更多
关键词 半管理 Markov随机场 误差函数 能量函数
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SPARSE RECOVERY BASED ON THE GENERALIZED ERROR FUNCTION 认领 引用
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作者 Zhiyong Zhou 《Journal of Computational Mathematics》 SCIE CSCD 2024年第3期679-704,共26页
In this paper,we offer a new sparse recovery strategy based on the generalized error function.The introduced penalty function involves both the shape and the scale parameters,making it extremely flexible.For both cons... In this paper,we offer a new sparse recovery strategy based on the generalized error function.The introduced penalty function involves both the shape and the scale parameters,making it extremely flexible.For both constrained and unconstrained models,the theoretical analysis results in terms of the null space property,the spherical section property and the restricted invertibility factor are established.The practical algorithms via both the iteratively reweighted■1and the difference of convex functions algorithms are presented.Numerical experiments are carried out to demonstrate the benefits of the suggested approach in a variety of circumstances.Its practical application in magnetic resonance imaging(MRI)reconstruction is also investigated. 展开更多
关键词 Sparse recovery Generalized error function Nonconvex regularization Itera-tive reweighted Li Difference of convex functions algorithms
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A New Approach for Solving Fuzzy Linear Multi-Criterion Problems: An Approach Based on Minimization of the Errors Functions 认领 引用
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作者 Joél Lema Makubikua Amani Wema +2 位作者 Yves Tinda Mangongo Joseph-Désiré Kyemba Bukweli Justin Dupar Busili Kampempe 《American Journal of Operations Research》 2023年第1期1-17,共17页
The main purpose of this paper is to build a new approach for solving a fuzzy linear multi-criterion problem by defining a function called “error function”. For this end, the concept of level set  is used to co... The main purpose of this paper is to build a new approach for solving a fuzzy linear multi-criterion problem by defining a function called “error function”. For this end, the concept of level set  is used to construct the error function. In addition, we introduce the concept of deviation variable in the definition of the error function. The algorithm of the new approach is summarized in three main steps: first, we transform the original fuzzy problem into a deterministic one by choosing a specific level . second, we solve separately each uni-criteria problem and we compute the error function for each criteria. Finally, we minimize the sum of error functions in order to obtain the desired compromise solution. A numerical example is done for a comparative study with some existing approaches to show the effectiveness of the new approach. 展开更多
关键词 Deviation Variable Compromise Solution Membership Function Error Function Decision-Making Function
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Auxiliary error and probability density function based neuro-fuzzy model and its application in batch processes 认领 引用
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作者 贾立 袁凯 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2015年第12期2013-2019,共7页
This paper focuses on resolving the identification problem of a neuro-fuzzy model(NFM) applied in batch processes. A hybrid learning algorithm is introduced to identify the proposed NFM with the idea of auxiliary erro... This paper focuses on resolving the identification problem of a neuro-fuzzy model(NFM) applied in batch processes. A hybrid learning algorithm is introduced to identify the proposed NFM with the idea of auxiliary error model and the identification principle based on the probability density function(PDF). The main contribution is that the NFM parameter updating approach is transformed into the shape control for the PDF of modeling error. More specifically, a virtual adaptive control system is constructed with the aid of the auxiliary error model and then the PDF shape control idea is used to tune NFM parameters so that the PDF of modeling error is controlled to follow a targeted PDF, which is in Gaussian or uniform distribution. Examples are used to validate the applicability of the proposed method and comparisons are made with the minimum mean square error based approaches. 展开更多
关键词 Batch process Auxiliary error model Probability density function Neuro-fuzzy model
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OPTIMAL ERROR BOUNDS FOR THE CUBIC SPLINE INTERPOLATION OF LOWER SMOOTH FUNCTIONS(1) 认领 引用
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作者 Ye Maodong Zhejiang University,China 《Analysis in Theory and Applications》 1993年第4期46-54,共9页
In this paper,the kernel of the cubic spline interpolation is given.An optimal error bound for the cu- bic spline interpolation of lower smooth functions is obtained.
关键词 As OPTIMAL ERROR BOUNDS FOR THE CUBIC SPLINE INTERPOLATION OF LOWER SMOOTH FUNCTIONS 十义 义人
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RESIDUAL A POSTERIORI ERROR ESTIMATE TWO-GRID METHODS FOR THE STEADY (NAVIER-STOKES) EQUATION WITH STREAM FUNCTION FORM 认领 引用
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作者 任春风 马逸尘 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第5期546-559,共14页
Residual based on a posteriori error estimates for conforming finite element solutions of incompressible Navier-Stokes equations with stream function form which were computed with seven recently proposed two-level met... Residual based on a posteriori error estimates for conforming finite element solutions of incompressible Navier-Stokes equations with stream function form which were computed with seven recently proposed two-level method were derived. The posteriori error estimates contained additional terms in comparison to the error estimates for the solution obtained by the standard finite element method. The importance of these additional terms in the error estimates was investigated by studying their asymptotic behavior. For optimal scaled meshes, these bounds are not of higher order than of convergence of discrete solution. 展开更多
关键词 two-level method Navier-Stokes equation residual a posteriori error estimate finite element method stream function form
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THE DISPLACEMENT FUNCTION OF QUASI-CONFORMING ELEMENT AND ITS NODE ERROR 认领 引用
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作者 HE Dong-sheng +1 位作者 TANG Li-min 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第2期127-137,共11页
Based on the strain formulation of the quasi-conforming finite element, displacement functions are constructed which have definite physical meaning, and a conclusion can be obtained that the coefficients of the consta... Based on the strain formulation of the quasi-conforming finite element, displacement functions are constructed which have definite physical meaning, and a conclusion can be obtained that the coefficients of the constant and the linear strain are uniquely determined, and the quasi-conforming finite element method is convergent to constant strain. There are different methods for constructing the rigid displacement items, and different methods correspond to different order node errors, and this is different from ordinary displacement method finite element. 展开更多
关键词 quasi-conforming element displacement function error analysis finite element method 9-parameter triangular plate element
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Quadratic Radical Function Better Than Fisher z Transformation 认领 引用 被引量：3
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作者 杨正瓴 段志峰 +3 位作者 王晶晶 王腾 宋延文 张军 《Transactions of Tianjin University》 EI CAS 2013年第5期381-384,共4页
A new explicit quadratic radical function is found by numerical experiments,which is simpler and has only 70.778%of the maximal distance error compared with the Fisher z transformation.Furthermore,a piecewise function... A new explicit quadratic radical function is found by numerical experiments,which is simpler and has only 70.778%of the maximal distance error compared with the Fisher z transformation.Furthermore,a piecewise function is constructed for the standard normal distribution:if the independent variable falls in the interval(-1.519,1.519),the proposed function is employed;otherwise,the Fisher z transformation is used.Compared with the Fisher z transformation,this piecewise function has only 38.206%of the total error.The new function is more exact to estimate the confidence intervals of Pearson product moment correlation coefficient and Dickinson best weights for the linear combination of forecasts. 展开更多
关键词 normal distribution cumulative distribution function error function confidence interval correlation coefficient combination of forecasts
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Error Model of Rotary Ring Laser Gyro Inertial Navigation System 认领 引用 被引量：2
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作者 张伦东 练军想 +1 位作者 吴美平 郑志强 《Journal of Beijing Institute of Technology》 EI CAS 2010年第4期439-444,共6页
To improve the precision of inertial navigation system（INS） during long time operation,the rotation modulated technique（RMT） was employed to modulate the errorr of the inertial sensors into periodically varied sig... To improve the precision of inertial navigation system（INS） during long time operation,the rotation modulated technique（RMT） was employed to modulate the errorr of the inertial sensors into periodically varied signals,and,as a result,to suppress the divergence of INS errors.The principle of the RMT was introduced and the error propagating functions were derived from the rotary navigation equation.Effects of the measurement error for the rotation angle of the platform on the system precision were analyzed.The simulation and experimental results show that the precision of INS was ① dramatically improved with the use of the RMT,and ② hardly reduced when the measurement error for the rotation angle was in arc-second level.The study results offer a theoretical basis for engineering design of rotary INS. 展开更多
关键词 inertial navigation system（INS） rotation modulated technique（RMT） error function inertial sensor
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Dynamic Event-Triggered Optimized Formation Control for ASVs With Prescribed Performance 认领 引用
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作者 Sibo Yao Zhiguang Feng Haiping Du 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2026年第4期998-1000,共3页
Dear Editor,This letter investigates the formation tracking issue of underactuated autonomous surface vehicles(ASVs)with prescribed performance.The composite formation errors of the ASVs are transformed by a simple er... Dear Editor,This letter investigates the formation tracking issue of underactuated autonomous surface vehicles(ASVs)with prescribed performance.The composite formation errors of the ASVs are transformed by a simple error transformation function to achieve prescribed performance control(PPC)for the ASV formation.Next,a distributed anti-disturbance optimal formation control method is proposed by integral sliding mode technique. 展开更多
关键词 error transformation function prescribed performance control ppc composite formation errors underactuated autonomous surface vehicles asvs autonomous surface vehicles formation tracking integral sliding mode technique formation control
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一种基于地震振幅属性预测砂岩厚度的误差校正方法 认领 引用
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作者 马洪涛 牛会玲 +3 位作者 王伟明 高晓林 张旭 何幼娟 《石油地质与工程》 CAS 2026年第1期115-120,128,共6页
随着油气勘探开发目标向岩性、地层等隐蔽性油气藏领域拓展,砂岩储层厚度的精确预测已成为油气勘探开发的关键环节,也是油气藏勘探开发领域的核心目标之一。历经业界数十年技术发展与实践应用,已逐渐形成地震属性分析、地震反演、AVO分... 随着油气勘探开发目标向岩性、地层等隐蔽性油气藏领域拓展,砂岩储层厚度的精确预测已成为油气勘探开发的关键环节,也是油气藏勘探开发领域的核心目标之一。历经业界数十年技术发展与实践应用,已逐渐形成地震属性分析、地震反演、AVO分析等三大类基于地震资料的砂岩储层研究技术方法;近年来,随着机器学习技术的兴起,研究者也开始探索人工智能技术在储层预测中的创新应用。然而,地震振幅属性预测砂岩储层分布作为经典预测技术之一,仍被广泛应用,且在如河道砂体等特定地质条件下展现出显著优势。同时,传统地震振幅属性预测方法存在固有局限性,具体表现在仅能精确预测调谐厚度附近的储层,对与调谐厚度相差较大的薄层或厚层预测均存在一定甚至较大误差,尤其针对薄砂岩储层。通过研究,提出一种统计地震振幅属性预测砂岩厚度与多井实钻厚度间的差值,基于该差值与实钻厚度建立误差函数,利用该误差函数校正地震振幅属性预测结果的方法。实际资料应用表明,该方法可显著提高薄砂岩储层厚度预测精度,为勘探目标优选及开发井部署提供更可靠的依据。 展开更多
关键词 地震振幅属性 砂岩厚度 调谐厚度 薄层 预测 误差函数 校正
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基于KAN多损失神经网络的MEMS陀螺仪校准 认领 引用 被引量：1
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作者 孟庆浩 杨铭 李云开 《中国惯性技术学报》 EI CSCD 北大核心 2026年第1期52-59,共8页
针对微机电系统(MEMS)陀螺仪因零偏漂移、比例因子偏差及轴间耦合等非线性误差导致的校准精度下降问题,提出了一种基于KAN多损失神经网络的高精度校准方法。该方法以KAN表示定理为理论基础,利用可学习样条函数构建非线性映射,实现对复... 针对微机电系统(MEMS)陀螺仪因零偏漂移、比例因子偏差及轴间耦合等非线性误差导致的校准精度下降问题,提出了一种基于KAN多损失神经网络的高精度校准方法。该方法以KAN表示定理为理论基础,利用可学习样条函数构建非线性映射,实现对复杂误差的显式建模。在结构上设计了轻量化的双层KAN框架,并引入多损失函数以同时优化三轴角速度误差与总角速度误差,从而在训练过程中平衡局部精度与全局一致性。实验结果表明,在相同参数规模下,所提方法相较于传统线性校准模型与多层感知机模型,三轴平均绝对误差降低约一个数量级,总角速度均方误差减少超过85%,模型在抗噪性与泛化性能方面表现优异。所提方法能显著提升MEMS陀螺仪的校准精度,为非线性误差补偿与惯性传感器建模提供了理论与技术途径。 展开更多
关键词 陀螺仪标定 深度学习 多损失函数 KAN网络 误差补偿
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海洋环境中混凝土氯离子扩散系数拟线性模型及其性能分析 认领 引用
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作者 李明玉 韩冉冉 《水道港口》 2026年第2期256-262,共7页
在自然暴露的海洋环境中,水运工程混凝土氯离子扩散系数计算通常采用非线性拟合法,但其计算过程较为复杂。针对这一问题,提出了一种拟线性化改进方法。利用误差函数的泰勒展开,通过线性转换机制重构混凝土氯离子扩散方程,并结合实际工... 在自然暴露的海洋环境中,水运工程混凝土氯离子扩散系数计算通常采用非线性拟合法,但其计算过程较为复杂。针对这一问题,提出了一种拟线性化改进方法。利用误差函数的泰勒展开,通过线性转换机制重构混凝土氯离子扩散方程,并结合实际工程案例,将计算结果与传统非线性拟合法的计算结果进行了对比。结果表明:基于误差函数五阶泰勒展开的拟线性化计算方法所得的氯离子扩散系数,与传统非线性拟合结果的相对偏差不超过2.0%。同时,该方法较传统非线性方法显著降低了计算的复杂程度,更便于在实际工程中推广应用。 展开更多
关键词 水运工程 氯离子扩散系数 拟线性分析 误差函数 混凝土 敏感性系数
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非模型化误差实时处理:探测、补偿及控制 认领 引用
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作者 李博峰 章浙涛 《测绘学报》 EI CSCD 北大核心 2026年第5期776-786,共11页
GNSS应用中存在难以通过差分和线性组合消除、经验模型改正、传统参数化吸收等有效补偿的非模型化误差,制约了定位、导航与授时(PNT)的精度和可信度。本文研究了包含探测、补偿及控制的GNSS非模型化误差实时处理框架,具体包括:基于先验... GNSS应用中存在难以通过差分和线性组合消除、经验模型改正、传统参数化吸收等有效补偿的非模型化误差,制约了定位、导航与授时(PNT)的精度和可信度。本文研究了包含探测、补偿及控制的GNSS非模型化误差实时处理框架,具体包括:基于先验、后验信息及多类指标,以模型和数据为驱动,设计了整体与分类的非模型化误差探测方法,给出了完整非模型化误差的显著性检验流程。结合实际观测场景,提出了基于函数模型和随机模型的弹性补偿方法,包括非模型化误差的免补、改正、固定、估计和加权模型。结合数据质量控制策略,提出了顾及非模型化误差的随机特性评估及质量控制方法。试验结果表明,GNSS非模型化误差实时处理能有效提升GNSS定位精度和可信度,为复杂条件下可信PNT提供了技术支撑,丰富了大地测量数据处理理论与方法体系。 展开更多
关键词 非模型化误差 显著性检验 函数模型补偿 随机模型补偿 质量控制
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基于Huber损失函数的稳健随机森林模型及应用 认领 引用
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作者 蔡超 胡成翔 《统计与决策》 CSSCI 北大核心 2026年第5期47-53,共7页
随着人工智能技术的发展,随机森林模型在众多领域中得到了快速发展和广泛应用。但在处理实际问题时,传统的随机森林模型易受厚尾数据、异常值等因素影响,导致估计出现偏差。鉴于此,文章提出基于Huber损失函数的稳健随机森林模型,并给出... 随着人工智能技术的发展,随机森林模型在众多领域中得到了快速发展和广泛应用。但在处理实际问题时,传统的随机森林模型易受厚尾数据、异常值等因素影响,导致估计出现偏差。鉴于此,文章提出基于Huber损失函数的稳健随机森林模型,并给出了估计算法、变量重要性测度方法及偏相依关系测度方法。该模型利用Huber损失函数的优势,在处理具有偏态分布或异常值的数据时具有更好的稳健性,且能更好地降低极端异常值对模型估计的不良影响。数值模拟结果表明:在处理具有偏态分布或异常值的数据时,基于Huber损失函数的稳健随机森林模型在预测性能上显著优于均值回归森林模型和中位数回归森林模型。将基于Huber损失函数的稳健随机森林模型应用于中国县域数字金融与农民收入数据集中,结果表明,所提方法比传统的随机森林模型具有更好的稳健性和更强的预测能力。 展开更多
关键词 随机森林模型 Huber损失函数 预测误差 稳健性
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基于改进深度残差收缩网络的电力系统暂态稳定裕度评估 认领 引用
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作者 杨捷 王昊 《河南工学院学报》 CAS 2026年第2期30-36,共7页
为解决电力系统暂态稳定评估中数据不平衡和缺少稳定裕度量化指标问题,提出了一种基于改进深度残差收缩网络的暂态稳定裕度评估方法。该方法采用与电力系统暂态功角稳定紧密相关的发电机侧特征作为模型输入,利用最大功角差与阈值积分的... 为解决电力系统暂态稳定评估中数据不平衡和缺少稳定裕度量化指标问题,提出了一种基于改进深度残差收缩网络的暂态稳定裕度评估方法。该方法采用与电力系统暂态功角稳定紧密相关的发电机侧特征作为模型输入,利用最大功角差与阈值积分的裕度指标计算稳定裕度作为标签值,引入平衡均方误差损失函数以解决样本不平衡问题。算例分析表明,该方法在误差指标上较主流机器学习算法表现更好,展现出更优越的评估性能。 展开更多
关键词 电力系统 深度残差收缩网络 暂态稳定裕度 平衡均方误差损失函数
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考虑特征优选和岭回归的变电站系统动力学安全评估模型 认领 引用
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作者 谢敬东 姜豪坤 +2 位作者 石全 杨雨琪 邓化宇 《上海电力大学学报》 CAS 2026年第3期261-268,共8页
针对智能变电站内监测装置间相互独立且产生的大量数据难以高效融合、综合分析等问题,构建了一种考虑特征优选和岭回归的系统动力学安全评估模型。首先,以系统动力学为基础,结合特征优选、岭回归和重构误差,实现了对监测变量和辅控设备... 针对智能变电站内监测装置间相互独立且产生的大量数据难以高效融合、综合分析等问题,构建了一种考虑特征优选和岭回归的系统动力学安全评估模型。首先,以系统动力学为基础,结合特征优选、岭回归和重构误差,实现了对监测变量和辅控设备的评估;然后,研究了变电站多层故障概率函数,并与系统动力学流图结合,实现了对设备及变电站整体的安全评估;最后,算例实验结果表明,该模型能够实现不同数据的高效融合、综合分析,更加全面地评估变电站的运行状态。 展开更多
关键词 特征优选 岭回归 系统动力学 安全评估 重构误差 故障概率函数
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