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A Study on the Essence of Optimal Statistical Uncorrelated Discriminant Vectors

Wu Xiaojun,Yang Jingyu,Wang Shitong,Liu Tongming,Josef Kittler

Strategic Study of CAE 2004, Volume 6, Issue 2,   Pages 44-47

Abstract:

A study has been made on the essence of optimal set of uncorrelated discriminant vectors in this paperThus, the optimal discriminant vectors solved by conventional LDA methods are statistical uncorrelatedThe research indicates that the essence of the statistical uncorrelated discriminant transform is thewhitening transform plus conventional linear discriminant transform.The distinguished characteristic of the proposed method is that the obtained optimal discriminant vectors

Keywords： pattern recognition     feature extraction     disciminant analysis     generalized optimal set of discriminant    

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An approach for mechanical fault classification based on generalized discriminant analysis

LI Wei-hua, SHI Tie-lin, YANG Shu-zi

Frontiers of Mechanical Engineering 2006, Volume 1, Issue 3,   Pages 292-298 doi: 10.1007/s11465-006-0022-2

Abstract: classification of complicated mechanical faults, an approach to multi-faults classification based on generalizeddiscriminant analysis is presented.Compared with linear discriminant analysis (LDA), generalized discriminant analysis (GDA), one of nonlineardiscriminant analysis methods, is more suitable for classifying the linear non-separable problem.

Keywords： generalized discriminant     non-separable     abnormality     classification     multi-faults classification    

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Trajectory planning of mobile robots using indirect solution of optimal control method in generalized

M. NAZEMIZADEH, H. N. RAHIMI, K. AMINI KHOIY

Frontiers of Mechanical Engineering 2012, Volume 7, Issue 1,   Pages 23-28 doi: 10.1007/s11465-012-0304-9

Abstract:

This paper presents an optimal control strategy for optimal trajectory planning of mobile robots byThe nonholonomic constraints of the system are introduced by a nonintegrable set of differential equationsThen, the optimal path planning of the mobile robot is formulated as an optimal control problem.To set up the problem, the nonlinear equations of the system are assumed as constraints, and a minimumof the optimality derived as a set of coupled nonlinear differential equations.

Keywords： mobile robot     trajectory planning     nonlinear dynamic     optimal control    

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A New Two_dimensional Linear Discriminant Analysis Algori thmBased on Fuzzy Set Theory

Zheng Yujie,Yang Jingyu,Wu Xiaojun, Li Yongzhi

Strategic Study of CAE 2007, Volume 9, Issue 2,   Pages 49-53

Abstract: outlier)samples et al in the field of pattern recognition.How to avoid these shortcomings and extract optimal

Keywords： two-dimensional linear discriminant analysis(2DLDA)     fuzzy two-dimensional linear    

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The modified Adaboost algorithm for Chinese handwritten character recognitionThe modified Adaboost algorithm for Chinese handwritten character recognition

Ding Xiaoqing,Fu Qiang

Strategic Study of CAE 2009, Volume 11, Issue 10,   Pages 19-24

Abstract: Adaboost algorithm adopts the descriptive model based on multi-class classifiers (modified quadratic discriminantBesides, it updates sample weights according to the generalized confidence which is simple and effective

Keywords： multiclass Adaboost algorithm     Chinese handwritten character recognition     generalized confidence     modifiedquadratic discriminant function    

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Isomorphism analysis on generalized modules oriented to the distributed parameterized intelligent product

Shasha ZENG, Weiping PENG, Tiaoyu LEI

Frontiers of Mechanical Engineering 2020, Volume 15, Issue 1,   Pages 12-23 doi: 10.1007/s11465-019-0555-9

Abstract: product platform (DPIPP) contains many agents of a product minimum approximate autonomous subsystem (generalizedIn this study, a new method of isomorphism analysis on generalized modules oriented to DPIPP is proposedFirst, on the basis of the bill of material partition and generalized module mining, the parameters ofSecond, similarity calculation of generalized modules is realized by improving the clustering using representativesGeneralized modules with a similar structure are combined to complete the isomorphism analysis.

Keywords： distributed parameterized intelligent product platform     generalized module     isomorphism analysis     product    

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Novel method of constructing generalized Hoberman sphere mechanisms based on deployment axes

Xuemin SUN, Yan-An YAO, Ruiming LI

Frontiers of Mechanical Engineering 2020, Volume 15, Issue 1,   Pages 89-99 doi: 10.1007/s11465-019-0567-5

Abstract: This study proposes a method of constructing type II generalized angulated elements (GAEs II) HobermanThird, a flowchart of constructing the generalized Hoberman sphere mechanism on the basis of deploymentFinally, four generalized Hoberman sphere mechanisms based on a fully enclosed regular hexahedron, arithmetic

Keywords： deployable mechanism     type II generalized angulated elements     Hoberman sphere mechanism     deployment axes    

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Galerkin approximationwith Legendre polynomials for a continuous-time nonlinear optimal control problem Article

Xue-song CHEN

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 10,   Pages 1479-1487 doi: 10.1631/FITEE.1601101

Abstract: We investigate the use of an approximation method for obtaining near-optimal solutions to a kind of nonlinearThe approach derived from the Galerkin approximation is used to solve the generalized Hamilton-Jacobi-BellmanNumerical examples show that the update control laws converge to the optimal control for nonlinear CT

Keywords： Generalized Hamilton-Jacobi-Bellman equation     Nonlinear optimal control     Galerkin approximation     Legendre    

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Local uncorrelated local discriminant embedding for face recognition

Xiao-hu MA,Meng YANG,Zhao ZHANG

Frontiers of Information Technology & Electronic Engineering 2016, Volume 17, Issue 3,   Pages 212-223 doi: 10.1631/FITEE.1500255

Abstract: However, the extracted features also have overlapping discriminant information.of the statistical uncorrelated criterion is that it eliminates the redundancy among the extracted discriminantIn this paper, we introduce a novel feature extraction method called local uncorrelated local discriminantThe proposed approach can be seen as an extension of a local discriminant embedding (LDE) framework inwithout using principal component analysis to preprocess the original data, which avoids losing some discriminant

Keywords： Feature extraction     Local discriminant embedding     Local uncorrelated criterion     Face recognition    

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Recent advances in multisensor multitarget tracking using random finite set Review Articles

Kai Da, Tiancheng Li, Yongfeng Zhu, Hongqi Fan, Qiang Fu,dktm131@163.com,t.c.li@nwpu.edu.cn,zoyofo@163.com,fanhongqi@nudt.edu.cn

Frontiers of Information Technology & Electronic Engineering 2021, Volume 22, Issue 1,   Pages 1-140 doi: 10.1631/FITEE.2000266

Abstract: In this study, we provide an overview of recent advances in multisensor based on the (RFS) approach. The fusion that plays a fundamental role in multisensor filtering is classified into data-level multitarget measurement fusion and estimate-level multitarget density fusion, which share and fuse local measurements and posterior densities between sensors, respectively. Important properties of each fusion rule including the optimality and sub-optimality are presented. In particular, two robust multitarget density-averaging approaches, arithmetic- and geometric-, are addressed in detail for various RFSs. Relevant research topics and remaining challenges are highlighted.

Keywords： Multitarget tracking     Multisensor fusion     Average fusion     Random finite set     Optimal fusion    

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Level set band method: A combination of density-based and level set methods for the topology optimization

Peng WEI, Wenwen WANG, Yang YANG, Michael Yu WANG

Frontiers of Mechanical Engineering 2020, Volume 15, Issue 3,   Pages 390-405 doi: 10.1007/s11465-020-0588-0

Abstract: The level set method (LSM), which is transplanted from the computer graphics field, has been successfullyIn this study, a level set band method is proposed to overcome this drawback in handling topology changesin the level set framework.the continuity of objective and constraint functions by incorporating one parameter, namely, level setThe proposed method demonstrates a flexible topology change by applying a certain size of the level set

Keywords： level set method     topology optimization     density-based method     level set band    

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Multiscale RBF-based central high resolution schemes for simulation of generalized thermoelasticity problems

Hassan YOUSEFI, Alireza TAGHAVI KANI, Iradj MAHMOUDZADEH KANI

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 2,   Pages 429-455 doi: 10.1007/s11709-018-0483-5

Abstract: This proposed method is used for simulation of generalized coupled thermoelasticity problems including

Keywords： central high resolution schemes     RBFs     higher order accuracy     generalized thermoelasticity     multiresolution-based    

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Multi-objective optimization of a hybrid distributed energy system using NSGA-II algorithm

Hongbo REN, Yinlong LU, Qiong WU, Xiu YANG, Aolin ZHOU

Frontiers in Energy 2018, Volume 12, Issue 4,   Pages 518-528 doi: 10.1007/s11708-018-0594-7

Abstract: optimization model, the non-dominated sorting generic algorithm II (NSGA-II) is employed to derive a setcrowding distance operator, and the best compromised Pareto solution is determined based on the fuzzy setnumerical study indicate that the NSGA-II results in more diversified Pareto solutions and the fuzzy set

Keywords： multi-objective optimization     hybrid distributed energy system     non-dominated sorting generic algorithm II     fuzzy settheory     Pareto optimal solution    

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Design and analysis of the gripper mechanism based on generalized parallel mechanisms with configurable

Frontiers of Mechanical Engineering 2021, Volume 16, Issue 4,   Pages 765-781 doi: 10.1007/s11465-021-0655-1

Abstract: Generalized parallel mechanisms with a configurable moving platform have become popular in the researchtranslations and two rotations plus an additional grasping motion) gripper mechanisms based on the generalized

Keywords： generalized parallel mechanism     configurable moving platform     gripper mechanism     type synthesis     kinematic    

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The convexity about ultimate bearing hypersurfaces of structures

Chengxi GUO,Tingting GUO

Frontiers of Structural and Civil Engineering 2016, Volume 10, Issue 4,   Pages 456-461 doi: 10.1007/s11709-016-0334-1

Abstract: All of generalized non-overload forces acted on a structure forms a convex set when ignoring the second-ordereffects (coupling effects between the generalized forces).

Keywords： service     limit load     ultimate bearing surface     convexity     generalized force     generalized displacement     frame    

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Title Author Date Type Operation

A Study on the Essence of Optimal Statistical Uncorrelated Discriminant Vectors

Wu Xiaojun,Yang Jingyu,Wang Shitong,Liu Tongming,Josef Kittler

Journal Article

An approach for mechanical fault classification based on generalized discriminant analysis

LI Wei-hua, SHI Tie-lin, YANG Shu-zi

Journal Article

Trajectory planning of mobile robots using indirect solution of optimal control method in generalized

M. NAZEMIZADEH, H. N. RAHIMI, K. AMINI KHOIY

Journal Article

A New Two_dimensional Linear Discriminant Analysis Algori thmBased on Fuzzy Set Theory

Zheng Yujie,Yang Jingyu,Wu Xiaojun, Li Yongzhi

Journal Article

The modified Adaboost algorithm for Chinese handwritten character recognitionThe modified Adaboost algorithm for Chinese handwritten character recognition

Ding Xiaoqing,Fu Qiang

Journal Article

Isomorphism analysis on generalized modules oriented to the distributed parameterized intelligent product

Shasha ZENG, Weiping PENG, Tiaoyu LEI

Journal Article

Novel method of constructing generalized Hoberman sphere mechanisms based on deployment axes

Xuemin SUN, Yan-An YAO, Ruiming LI

Journal Article

Galerkin approximationwith Legendre polynomials for a continuous-time nonlinear optimal control problem

Xue-song CHEN

Journal Article

Local uncorrelated local discriminant embedding for face recognition

Xiao-hu MA,Meng YANG,Zhao ZHANG

Journal Article

Recent advances in multisensor multitarget tracking using random finite set

Kai Da, Tiancheng Li, Yongfeng Zhu, Hongqi Fan, Qiang Fu,dktm131@163.com,t.c.li@nwpu.edu.cn,zoyofo@163.com,fanhongqi@nudt.edu.cn

Journal Article

Level set band method: A combination of density-based and level set methods for the topology optimization

Peng WEI, Wenwen WANG, Yang YANG, Michael Yu WANG

Journal Article

Multiscale RBF-based central high resolution schemes for simulation of generalized thermoelasticity problems

Hassan YOUSEFI, Alireza TAGHAVI KANI, Iradj MAHMOUDZADEH KANI

Journal Article

Multi-objective optimization of a hybrid distributed energy system using NSGA-II algorithm

Hongbo REN, Yinlong LU, Qiong WU, Xiu YANG, Aolin ZHOU

Journal Article

Design and analysis of the gripper mechanism based on generalized parallel mechanisms with configurable

Journal Article

The convexity about ultimate bearing hypersurfaces of structures

Chengxi GUO,Tingting GUO

Journal Article