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Research on the unified robust Gaussian filters based on M-estimation
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作者 ZUO Yunlong LYU Xu ZHANG Xiaofeng 《Journal of Systems Engineering and Electronics》 2025年第5期1161-1168,共8页
In this paper,the newly-derived maximum correntropy Kalman filter(MCKF)is re-derived from the M-estimation perspective,where the MCKF can be viewed as a special case of the M-estimations and the Gaussian kernel functi... In this paper,the newly-derived maximum correntropy Kalman filter(MCKF)is re-derived from the M-estimation perspective,where the MCKF can be viewed as a special case of the M-estimations and the Gaussian kernel function is a special case of many robust cost functions.Based on the derivation process,a unified form for the robust Gaussian filters(RGF)based on M-estimation is proposed to suppress the outliers and non-Gaussian noise in the measurement.The RGF provides a unified form for one Gaussian filter with different cost functions and a unified form for one robust filter with different approximating methods for the involved Gaussian integrals.Simulation results show that RGF with different weighting functions and different Gaussian integral approximation methods has robust antijamming performance. 展开更多
关键词 maximum correntropy Kalman filter(MCKF) M-ESTIMATION gaussian filter
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基于Gaussian软件的高中化学反应机理可视化教学研究——以苯衍生物的硝化反应为例
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作者 吕彩虹 辛景凡 《计算机应用文摘》 2026年第4期27-31,共5页
高斯(Gaussian)软件是一款可视化的计算化学工具。利用该软件辅助中学化学教学,可以将抽象的化学知识具象化,帮助学生理解理论内容,同时体现绿色化学理念在教学中的应用。文章以中学《有机化学》(选修3)中的“思考与讨论”栏目为例,采用... 高斯(Gaussian)软件是一款可视化的计算化学工具。利用该软件辅助中学化学教学,可以将抽象的化学知识具象化,帮助学生理解理论内容,同时体现绿色化学理念在教学中的应用。文章以中学《有机化学》(选修3)中的“思考与讨论”栏目为例,采用Gaussian软件对苯衍生物硝化反应的机理进行设计与研究。项目提供了分子结构的电荷分布、势能剖面图、过渡态能量、静电势图、具体反应变化机理及热效应等可视化教学资源。通过形象直观的图示和模型,学生更容易理解硝化反应的条件和机理,从化学键及基团相互作用的角度学习有机化学知识,激发学习兴趣,并辅助阐释复杂反应机理,提升学生的核心素养。 展开更多
关键词 gaussian软件 可视化教学 硝化反应
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基于3D Gaussian Splatting的小麦植株三维表型构建分析
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作者 杨欣怡 吴春笃 +1 位作者 张波 张爽 《农业工程》 2026年第2期1-8,共8页
针对成熟期小麦三维表型传统获取方法效率低、自动化程度不足,难以兼顾效率与精细度的问题,基于三维高斯泼溅(3D Gaussian Splatting,3DGS)建立全流程表型构建方法,整合3个技术模块:基于多视角图像的3DGS高保真三维重建、以株高为代表... 针对成熟期小麦三维表型传统获取方法效率低、自动化程度不足,难以兼顾效率与精细度的问题,基于三维高斯泼溅(3D Gaussian Splatting,3DGS)建立全流程表型构建方法,整合3个技术模块:基于多视角图像的3DGS高保真三维重建、以株高为代表的宏观表型参数提取与精度验证,以及采用PointNet++模型的植株点云器官分割(叶、茎、穗)。试验结果表明,3DGS能够高效重建出细节丰富的小麦植株三维模型,其峰值信噪比、结构相似性指数和学习感知图像块相似度分别达到36.9594 dB、0.9746和0.1146;提取的株高与人工测量值高度一致(决定系数R2=0.9713,均方根误差1.565 cm);PointNet++模型在最优参数下(最远点采样中心数量10000)器官分割最佳准确率和平均交并比分别为0.78069和0.63954,测试集上穗部分割精度最高,精确率0.8604,交并比0.7547。利用该研究方法生成的小麦三维模型重建质量好、精度高,证明其在三维表型分析中具有高效、精确的优势,具备良好的应用潜力。 展开更多
关键词 小麦 作物表型 表型参数 器官分割 3D gaussian Splatting PointNet++
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Intermediate-variable-based adaptive extended Kalman filter for nonlinear non-Gaussian cyber-physical systems with unknown inputs
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作者 MIAO Kelei YAN Zejun +2 位作者 ZHANG Xudong CHEN Yourong REN Hongliang 《High Technology Letters》 2025年第4期329-337,共9页
This article proposes an adaptive extended Kalman filter(EKF)for nonlinear cyber-physical systems(CPSs)under unknown inputs and non-Gaussian noises.It is known that the traditional extended Kalman filter is applicable... This article proposes an adaptive extended Kalman filter(EKF)for nonlinear cyber-physical systems(CPSs)under unknown inputs and non-Gaussian noises.It is known that the traditional extended Kalman filter is applicable to nonlinear systems with Gaussian white noise.The system is reformulated with intermediate variables to expand the application of nonlinear systems under unknown inputs and non-Gaussian noises,which help decompose unknown input estimation into residual tracking and state observation subproblems.By introducing the orthogonal principle of innovation and attenuation factor,the intermediate variables-based filter can improve the estimation performance under non-Gaussian noises and unknown inputs.Simulation results validate the effectiveness of the proposed method. 展开更多
关键词 nonlinear non-gaussian system intermediate variable adaptive extended Kalman filter
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Cavity ring-down spectroscopy CO gas sensor integrating principal component analysis with savitzky-golay filtering
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作者 GUO Zi-long SHI Cheng-rui +4 位作者 DONG Yuan-yuan ZHANG Lei SUN Xiao-yuan SUN Jing-jing ZHOU Sheng 《中国光学(中英文)》 北大核心 2026年第1期179-189,共11页
The Savitzky-Golay(SG)filter,which employs polynomial least-squares approximations to smooth data and estimate derivatives,is widely used for processing noisy data.However,noise suppression by the SG filter is recogni... The Savitzky-Golay(SG)filter,which employs polynomial least-squares approximations to smooth data and estimate derivatives,is widely used for processing noisy data.However,noise suppression by the SG filter is recognized to be limited at data boundaries and high frequencies,which can significantly reduce the signal-to-noise ratio(SNR).To solve this problem,a novel method synergistically integrating Principal Component Analysis(PCA)with SG filtering is proposed in this paper.This approach avoids the is-sue of excessive smoothing associated with larger window sizes.The proposed PCA-SG filtering algorithm was applied to a CO gas sensing system based on Cavity Ring-Down Spectroscopy(CRDS).The perform-ance of the PCA-SG filtering algorithm is demonstrated through comparison with Moving Average Filtering(MAF),Wavelet Transformation(WT),Kalman Filtering(KF),and the SG filter.The results demonstrate that the proposed algorithm exhibits superior noise reduction capabilities compared to the other algorithms evaluated.The SNR of the ring-down signal was improved from 11.8612 dB to 29.0913 dB,and the stand-ard deviation of the extracted ring-down time constant was reduced from 0.037μs to 0.018μs.These results confirm that the proposed PCA-SG filtering algorithm effectively improves the smoothness of the ring-down curve data,demonstrating its feasibility. 展开更多
关键词 cavity ring-down spectroscopy CO gas sensor principal component analysis Savitzky-Golay filter
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Performance analysis of state of charge and state of health prediction using Kalman filter techniques with battery parameter variation
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作者 Ranagani Madhavi Indragandhi Vairavasundaram 《Global Energy Interconnection》 2026年第1期143-158,共16页
Accurate estimation of the State of Charge(SOC),State of Health(SOH),and Terminal Resistance(TR)is crucial for the effective operation of Battery Management Systems(BMS)in lithium-ion batteries.This study conducts a c... Accurate estimation of the State of Charge(SOC),State of Health(SOH),and Terminal Resistance(TR)is crucial for the effective operation of Battery Management Systems(BMS)in lithium-ion batteries.This study conducts a comprehensive comparative analysis of four Kalman filter variants Extended Kalman Filter(EKF),Extended Kalman-Bucy Filter(EKBF),Unscented Kalman Filter(UKF),and Unscented Kalman-Bucy Filter(UKBF)under varying battery parameter conditions.These include temperature fluctuation,self-discharge,current direction,cell capacity,process noise,and measurement noise.Our findings reveal significant variations in the performance of SOC and SOH predictions across filters,emphasizing that UKF demonstrates superior robustness to noise,while EKF performs better under accurate system dynamics.The study underscores the need for adaptive filtering strategies that can dynamically adjust to evolving battery parameters,thereby enhancing BMS reliability and extending battery lifespan. 展开更多
关键词 State of chargeState of health Extended Kalman filter Extended Kalman Bucy filter Unscented Kalman filter Unscented Kalman Bucy filter
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Miniaturized bandpass filter with a wide upper stopband using isomeric resonators in a cavity
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作者 Chengyang ZHANG Ying XUE +1 位作者 Qingyuan LU Jianxin CHEN 《ENGINEERING Information Technology & Electronic Engineering》 2026年第1期81-86,共6页
1 Introduction Recently,the increasing demand for advanced telecommunication systems has spurred extensive research into bandpass filters(BPFs),with particular emphasis on miniaturization,reduction of insertion loss(I... 1 Introduction Recently,the increasing demand for advanced telecommunication systems has spurred extensive research into bandpass filters(BPFs),with particular emphasis on miniaturization,reduction of insertion loss(IL),and enhancement of upper stopband rejection(Huang et al.,2021;Snyder et al.,2021;Lin et al.,2023;Zeng et al.,2023). 展开更多
关键词 bandpass filters bpfs advanced telecommunication systems upper stopband rejection isomeric resonators cavity filters enhancement upper stopband rejection huang miniaturized bandpass filters insertion loss
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An Improved High-Degree Cubature Particle Filter and its Application in Bearing-only Tracking
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作者 Yanqi Niu Dandan Zhu Yaan Li 《哈尔滨工程大学学报(英文版)》 2026年第1期300-311,共12页
In this study,a fifth-degree cubature particle filter(5CPF)is proposed to address the limited estimation accuracy in traditional particle filter algorithms for bearings-only tracking(BOT).This algorithm calculates the... In this study,a fifth-degree cubature particle filter(5CPF)is proposed to address the limited estimation accuracy in traditional particle filter algorithms for bearings-only tracking(BOT).This algorithm calculates the recommended density function by introducing a fifth-degree cubature Kalman filter algorithm to guide particle sampling,which effectively alleviates the problem of particle degradation and significantly improves the estimation accuracy of the filter.However,the 5CPF algorithm exhibits high computational complexity,particularly in scenarios with a large number of particles.Therefore,we propose the extended Kalman filter(EKF)-5CPF algorithm,which employs an EKF to replace the time update step for each particle in the 5CPF.This enhances the algorithm’s real-time capability while maintaining the high precision advantage of the 5CPF algorithm.In addition,we construct bearing-only dual-station and single-motion station target tracking systems,and the filtering performances of 5CPF and EKF-5CPF algorithms under different conditions are analyzed.The results show that both the 5CPF algorithm and EKF-5CPF have strong robustness and can adapt to different noise environments.Furthermore,both algorithms significantly outperform traditional nonlinear filtering algorithms in terms of convergence speed,tracking accuracy,and overall stability. 展开更多
关键词 Nonlinear filtering Fifth-degree cubature particle filter EKF-5CPF Bearings-only target motion analysis
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Trans-reflective color filters with brilliant colors by integrating organic dyes with photonic crystals
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作者 Shi Li Yong Qi +4 位作者 Wenbin Niu Suli Wu Bingtao Tang Wei Ma Shufen Zhang 《Smart Molecules》 2026年第1期106-117,共12页
Color filters are essential components for optical modulation.However,conventional filters are restricted to operating exclusively in either reflective or transmissive mode.Furthermore,they suffer from limited UV and ... Color filters are essential components for optical modulation.However,conventional filters are restricted to operating exclusively in either reflective or transmissive mode.Furthermore,they suffer from limited UV and thermal stability,low color purity,and exhibit identical coloration on both surfaces.Herein,we propose a novel design strategy for trans-reflective color filters by integrating the absorptive properties of dye-doped polysulfone(PSU)with the diffractive capabilities of photonic crystals.This composite filter achieved broad-spectrum transmission with deep color outputs—yellow(0.410,0.510),magenta(0.446,0.231),and cyan(0.201,0.425)—closely aligned with standard color space coordinates.By tuning the refractive index of CeO_(2)@SiO_(2)nanoparticles to match dye-based PSU matrix,the transmittance of filters exceeded 70%.Moreover,dye-mediated absorption reduces the scattering light,thereby enhancing reflection color purity(full width at half maxima(FWHM)=25 nm)and producing vibrant blue,green,and red hues.The incorporation of UV-absorbing CeO_(2)@SiO_(2)nanoparticles effectively mitigated dye photodegradation,yielding exceptional UV stability(ΔT<2%under prolonged UV exposure).The filters also exhibited outstanding thermal stability(ΔT<1%after 30 min heat treatment at 230°C).This work establishes a robust materials design framework for multifunctional optical filters,advancing the development of highfidelity dual-mode color systems for next-generation display technologies. 展开更多
关键词 DYES photonic crystals stability trans-reflective color filters
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HCF-MFGB:Hybrid Collaborative Filtering Based on Matrix Factorization and Gradient Boosting
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作者 Salahudin Robo Triyanna Widiyaningtyas Wahyu Sakti Gunawan Irianto 《Computers, Materials & Continua》 2026年第2期1630-1648,共19页
Recommendation systems are an integral and indispensable part of every digital platform,as they can suggest content or items to users based on their respective needs.Collaborative filtering is a technique often used i... Recommendation systems are an integral and indispensable part of every digital platform,as they can suggest content or items to users based on their respective needs.Collaborative filtering is a technique often used in various studies,which produces recommendations by analyzing similarities between users and items based on their behavior.Although often used,traditional collaborative filtering techniques still face the main challenge of sparsity.Sparsity problems occur when the data in the system is sparse,meaning that only a portion of users provide feedback on some items,resulting in inaccurate recommendations generated by the system.To overcome this problem,we developed aHybrid Collaborative Filtering model based onMatrix Factorization andGradient Boosting(HCF-MFGB),a new hybrid approach.Our proposed model integrates SVD++,the XGBoost ensemble learning algorithm,and utilizes user demographic data and meta items.We utilize information,both explicitly and implicitly,to learn user preference patterns using SVD++.The XGBoost algorithm is used to create hundreds of decision trees incrementally,thereby improving model accuracy.Meanwhile,user demographic and meta-item data are clustered using the K-Means Clustering algorithm to capture similarities in user and item characteristics.This combination is designed to improve rating prediction accuracy by reducing reliance on minimal explicit rating data,while addressing sparsity issues in movie recommendation systems.The results of experiments on the MovieLens 100K,MovieLens 1M,and CiaoDVD datasets show significant improvements,outperforming various other baselinemodels in terms of RMSE and MAE.On theMovieLens 100K dataset,the HCF-MFGB model obtained an RMSE value of 0.853 and an MAE value of 0.674.On theMovieLens 1M dataset,the HCF-MFGB model obtained an RMSE value of 0.763 and an MAE value of 0.61.On the CiaoDCD dataset,the HCF-MFGB model achieved an RMSE value of 0.718 and an MAE value of 0.495.These results confirm a significant improvement in movie recommendation accuracy with the proposed approach. 展开更多
关键词 Recommendation systems hybrid collaborative filtering SVD++ XGBoost K-Means clustering user demographics meta item
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Adaptive Intelligent Control of a Lumped EvaporatorModel Using Wavelet-Based Neural PID with IIR Filtering
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作者 M.A.Vega Navarrete P.J.Argumedo Teuffer +2 位作者 C.M.RodríguezRomán L.E.Marrón Ramírez E.A.IslasNarvaez 《Frontiers in Heat and Mass Transfer》 2026年第1期354-374,共21页
This article presents an adaptive intelligent control strategy applied to a lumped-parameter evaporator model,i.e.,a simplified dynamic representation treating the evaporator as a single thermal node with uniform temp... This article presents an adaptive intelligent control strategy applied to a lumped-parameter evaporator model,i.e.,a simplified dynamic representation treating the evaporator as a single thermal node with uniform temperature distribution,suitable for control design due to its balance between physical fidelity and computational simplicity.The controller uses a wavelet-based neural proportional,integral,derivative(PID)controller with IIR filtering(infinite impulse response).The dynamic model captures the essential heat and mass transfer phenomena through a nonlinear energy balance,where the cooling capacity“Qevap”is expressed as a non-linear function of the compressor frequency and the temperature difference,specifically,Q_(evap)=k_(1)u(T_(in)−T_(e))with u as compressor frequency,Te evaporator temperature,and Tin inlet fluid temperature.The operating conditions of the system,in general terms,focus on the following variables,the overall thermal capacity is 1000 J/K,typical for small-capacity heat exchangers,The mass flow is 0.05 kg/s,typical for secondary liquid cooling circuits,the overall loss coefficient of 50 W/K that corresponds to small evaporators with partial insulation,the temperatures(inlet)of 10℃and the temperature of environment of 25℃,thermal load of 200 W that corresponds to a small-scaled air conditioning applications.To handle system nonlinearities and improve control performance,aMorlet wavelet-based neural network(Wavenet)is used to dynamically adjust the PID gains online.An IIR filter is incorporated to smooth the adaptive gains,improving stability and reducing oscillations.In contrast to prior wavelet-or neural-adaptive PID controllers in HVAC applications,which typically adjust gains without explicit filtering or not tailored to evaporator dynamics,this work introduces the first PID–Wavenet scheme augmented with an IIR-based stabilization layer,specifically designed to address the combined challenges of nonlinear evaporator behavior,gain oscillation,and real-time implementability.The proposed controller(PID-Wavenet+IIR)is implemented and validated inMATLAB/Simulink,demonstrating superior performance compared to a conventional PID tuned using Simulink’s auto-tuning function.Key results include a reduction in settling time from 13.3 to 8.2 s,a reduction in overshoot from 3.5%to 0.8%,a reduction in steady-state error from 0.12℃ to 0.02℃and a 13%reduction in energy overall consumption.The controller also exhibits greater robustness and adaptability under varying thermal loads.This explicit integration of wavelet-driven adaptation with IIR-filtered gain shaping constitutes the main methodological contribution and novelty of the work.These findings validate the effectiveness of the wavelet-based adaptive approach for advanced thermal management in refrigeration and HVAC systems,with potential applications in controlling variable-speed compressors,liquid chillers,and compact cooling units. 展开更多
关键词 Evaporator modeling heat transfer systems adaptive control PID-Wavenet IIR filtering dynamic cooling optimization
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Data-driven early warning of Gaussian white noise-induced critical transitions
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作者 Ruifang WANG Minhe JIA +2 位作者 Xuanqi FAN Jinzhong MA Yong XU 《Applied Mathematics and Mechanics(English Edition)》 2026年第2期389-400,共12页
Many complex systems are frequently subject to the influence of uncertain disturbances,which can exert a profound effect on the critical transitions(CTs),potentially resulting in catastrophic consequences.Consequently... Many complex systems are frequently subject to the influence of uncertain disturbances,which can exert a profound effect on the critical transitions(CTs),potentially resulting in catastrophic consequences.Consequently,it is of uttermost importance to provide warnings for noise-induced CTs in various applications.Although capturing certain generic symptoms of transition behaviors from observational and simulated data poses a challenging problem,this work attempts to extract information regarding CTs from simulated data of a Gaussian white noise-induced tri-stable system.Using the extended dynamic mode decomposition(EDMD)algorithm,we initially obtain finite-dimensional approximations of both the stochastic Koopman operator and the generator.Subsequently,the drift parameters and the noise intensity within the system are identified from the simulated data.Utilizing the identified system,the parameter-dependent basin of the unsafe regime(PDBUR)is quantified,enabling data-driven early warning of Gaussian white noise-induced CTs.Finally,an error analysis is carried out to verify the effectiveness of the data-driven results.Our findings may serve as a paradigm for understanding and predicting noise-induced CTs in complex systems based on data. 展开更多
关键词 gaussian white noise critical transition(CT) extended dynamic mode decomposition(EDMD) parameter-dependent basin of the unsafe regime(PDBUR)
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Gaussian Sum PHD Filtering Algorithm for Nonlinear Non-Gaussian Models 被引量:14
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作者 尹建君 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2008年第4期341-351,共11页
A new multi-target filtering algorithm, termed as the Gaussian sum probability hypothesis density (GSPHD) filter, is proposed for nonlinear non-Gaussian tracking models. Provided that the initial prior intensity of ... A new multi-target filtering algorithm, termed as the Gaussian sum probability hypothesis density (GSPHD) filter, is proposed for nonlinear non-Gaussian tracking models. Provided that the initial prior intensity of the states is Gaussian or can be identified as a Gaussian sum, the analytical results of the algorithm show that the posterior intensity at any subsequent time step remains a Gaussian sum under the assumption that the state noise, the measurement noise, target spawn intensity, new target birth intensity, target survival probability, and detection probability are all Gaussian sums. The analysis also shows that the existing Gaussian mixture probability hypothesis density (GMPHD) filter, which is unsuitable for handling the non-Gaussian noise cases, is no more than a special case of the proposed algorithm, which fills the shortage of incapability of treating non-Gaussian noise. The multi-target tracking simulation results verify the effectiveness of the proposed GSPHD. 展开更多
关键词 signal processing gaussian sum probability hypothesis density SIMULATION nonlinear non-gaussian TRACKING
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Major Development Under Gaussian Filtering Since Unscented Kalman Filter 被引量:8
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作者 Abhinoy Kumar Singh 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2020年第5期1308-1325,共18页
Filtering is a recursive estimation of hidden states of a dynamic system from noisy measurements.Such problems appear in several branches of science and technology,ranging from target tracking to biomedical monitoring... Filtering is a recursive estimation of hidden states of a dynamic system from noisy measurements.Such problems appear in several branches of science and technology,ranging from target tracking to biomedical monitoring.A commonly practiced approach of filtering with nonlinear systems is Gaussian filtering.The early Gaussian filters used a derivative-based implementation,and suffered from several drawbacks,such as the smoothness requirements of system models and poor stability.A derivative-free numerical approximation-based Gaussian filter,named the unscented Kalman filter(UKF),was introduced in the nineties,which offered several advantages over the derivativebased Gaussian filters.Since the proposition of UKF,derivativefree Gaussian filtering has been a highly active research area.This paper reviews significant developments made under Gaussian filtering since the proposition of UKF.The review is particularly focused on three categories of developments:i)advancing the numerical approximation methods;ii)modifying the conventional Gaussian approach to further improve the filtering performance;and iii)constrained filtering to address the problem of discrete-time formulation of process dynamics.This review highlights the computational aspect of recent developments in all three categories.The performance of various filters are analyzed by simulating them with real-life target tracking problems. 展开更多
关键词 Bayesian framework cubature rule-based filtering gaussian filters gaussian sum and square-root filtering nonlinear filtering quadrature rule-based filtering unscented transformation
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橡胶交联网络非Gaussian链统计力学
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作者 宋义虎 《高分子通报》 北大核心 2025年第7期1161-1172,共12页
"橡胶弹性"是《高分子物理》中联系长链分子构象和熵弹性的重要章节之一.现行《高分子物理》教科书以讲授Gaussian链构象和收缩力以及Gaussian链网络熵变和应力为主,附带讲授Gaussian链统计力学的修正,而很少提及非Gaussian... "橡胶弹性"是《高分子物理》中联系长链分子构象和熵弹性的重要章节之一.现行《高分子物理》教科书以讲授Gaussian链构象和收缩力以及Gaussian链网络熵变和应力为主,附带讲授Gaussian链统计力学的修正,而很少提及非Gaussian链统计力学及其近似表达形式.本文从无规行走问题出发回顾Gaussian链、非Gaussian链统计力学的主要来源与结果,介绍自由连接链、自避无规行走链末端位移分布和统计力学问题,以便让读者认识到Gaussian链网络模型仅是无穷长链Stirling近似结果的特例,而非Gaussian链统计力学在描述交联密度、链刚性、分子间/分子内作用力的贡献方面更有用. 展开更多
关键词 橡胶弹性 gaussian 无规行走问题 自由连接链 排除体积效应
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3D Profile Filter Algorithm Based on Parallel Generalized B-spline Approximating Gaussian 被引量:3
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作者 REN Zhiying GAO Chenghui SHEN Ding 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2015年第1期148-154,共7页
Currently, the approximation methods of the Gaussian filter by some other spline filters have been developed. However, thesc methods are only suitable for the study of one-dimensional filtering, when these methods are... Currently, the approximation methods of the Gaussian filter by some other spline filters have been developed. However, thesc methods are only suitable for the study of one-dimensional filtering, when these methods are used for three-dimensional filtering, it is found that a rounding error and quantization error would be passed to the next in every part. In this paper, a new and high-precision implementation approach for Gaussian filter is described, which is suitable for three-dimensional reference filtering. Based on the theory of generalized B-spline function and the variational principle, the transmission characteristics of a digital filter can be changed through the sensitivity of the parameters (t1, t2), and which can also reduce the rounding error and quantization error by the filter in a parallel form instead of the cascade form, Finally, the approximation filter of Gaussian filter is obtained. In order to verify the feasibility of the new algorithm, the reference extraction of the conventional methods are also used and compared. The experiments are conducted on the measured optical surface, and the results show that the total calculation by the new algorithm only requires 0.07 s for 480×480 data points; the amplitude deviation between the reference of the parallel form filter and the Gaussian filter is smaller; the new method is closer to the characteristic of the Gaussian filter through the analysis of three-dimensional roughness parameters, comparing with the cascade generalized B-spline approximating Gaussian. So the new algorithm is also efficient and accurate for the implementation of Gaussian filter in the application of surface roughness measurement. 展开更多
关键词 generalized B-spline gaussian filter three-dimensional reference cascade characteristic parallel characteristic
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Improved pruning algorithm for Gaussian mixture probability hypothesis density filter 被引量:8
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作者 NIE Yongfang ZHANG Tao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第2期229-235,共7页
With the increment of the number of Gaussian components, the computation cost increases in the Gaussian mixture probability hypothesis density(GM-PHD) filter. Based on the theory of Chen et al, we propose an improved ... With the increment of the number of Gaussian components, the computation cost increases in the Gaussian mixture probability hypothesis density(GM-PHD) filter. Based on the theory of Chen et al, we propose an improved pruning algorithm for the GM-PHD filter, which utilizes not only the Gaussian components’ means and covariance, but their weights as a new criterion to improve the estimate accuracy of the conventional pruning algorithm for tracking very closely proximity targets. Moreover, it solves the end-less while-loop problem without the need of a second merging step. Simulation results show that this improved algorithm is easier to implement and more robust than the formal ones. 展开更多
关键词 gaussian mixture probability hypothesis density(GM-PHD) filter pruning algorithm proximity targets clutter rate
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Short-term traffic safety forecasting using Gaussian mixture model and Kalman filter 被引量:6
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作者 Sheng JIN Dian-hai WANG +1 位作者 Cheng XU Dong-fang MA 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2013年第4期231-243,共13页
In this paper,a prediction model is developed that combines a Gaussian mixture model(GMM) and a Kalman filter for online forecasting of traffic safety on expressways.Raw time-to-collision(TTC) samples are divided into... In this paper,a prediction model is developed that combines a Gaussian mixture model(GMM) and a Kalman filter for online forecasting of traffic safety on expressways.Raw time-to-collision(TTC) samples are divided into two categories:those representing vehicles in risky situations and those in safe situations.Then,the GMM is used to model the bimodal distribution of the TTC samples,and the maximum likelihood(ML) estimation parameters of the TTC distribution are obtained using the expectation-maximization(EM) algorithm.We propose a new traffic safety indicator,named the proportion of exposure to traffic conflicts(PETTC),for assessing the risk and predicting the safety of expressway traffic.A Kalman filter is applied to forecast the short-term safety indicator,PETTC,and solves the online safety prediction problem.A dataset collected from four different expressway locations is used for performance estimation.The test results demonstrate the precision and robustness of the prediction model under different traffic conditions and using different datasets.These results could help decision-makers to improve their online traffic safety forecasting and enable the optimal operation of expressway traffic management systems. 展开更多
关键词 Forecasting Traffic safety gaussian mixture model Kalman filter
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Pattern Detection in Airborne LiDAR Data Using Laplacian of Gaussian Filter 被引量:3
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作者 ZHAN Qingming LIANG Yubin +1 位作者 CAI Ying XIAO Yinghui 《Geo-Spatial Information Science》 2011年第3期184-189,共6页
Methods for feature detection in laser scanning data have been studied for decades ever since the emergence of the technology.However,it is still one of the unsolved problems in LiDAR data processing due to difficulty... Methods for feature detection in laser scanning data have been studied for decades ever since the emergence of the technology.However,it is still one of the unsolved problems in LiDAR data processing due to difficulty of texture and structure information extraction in unevenly sampled points.The paper analyzes the characteristics of Laplacian of Gaussian(LoG) Filter and its potential use for structure detection in LiDAR data.A feature detection method based on LoG filtering is presented and ex-perimented on the unstructured points.The method filters the elevation value(namely,z coordinate value) of each point by convo-lution using LoG kernel within its local area and derives patterns suggesting the existence of certain types of ground ob-jects/features.The experiments are carried on a point cloud dataset acquired from a neighborhood area.The results demonstrate patterns detected at different scales and the relationship between standard deviation that defines LoG kernel and neighborhood size,which specifies the local area that is analyzed. 展开更多
关键词 laser scanning point cloud feature detection Laplacian of gaussian filter
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Adaptive Gaussian Noise Image Removal Algorithm Using Filtering-Based Noise Estimation 被引量:2
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作者 Tuan-anh NGUYEN Hong-son NGUYEN Min-cheol HONG 《Journal of Measurement Science and Instrumentation》 CAS 2011年第3期230-234,共5页
This paper proposes a spatially denoising algorithm using filtering-based noise estimation for an image corrupted by Gaussian noise.The proposed algorithm consists of two stages:estimation and elimination of noise den... This paper proposes a spatially denoising algorithm using filtering-based noise estimation for an image corrupted by Gaussian noise.The proposed algorithm consists of two stages:estimation and elimination of noise density.To adaptively deal with variety of the noise amount,a noisy input image is firstly filtered by a lowpass filter.Standard deviation of the noise is computed from different images between the noisy input and its filtered image.In addition,a modified Gaussian noise removal filter based on the local statistics such as local weighted mean,local weighted activity and local maximum is used to control the degree of noise suppression.Experiments show the effectiveness of the proposed algorithm. 展开更多
关键词 DENOISING local statistics gaussian filtering noise estimation gaussian noise
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