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2005 IEEE International Conference on Granular computing

作者： Zhao, Shu Zhang, Yan-Ping Zhang, Ling Chen, Jie Wan, Zhong Zhang, Ying-Chun Zhang, Chen-Xi Key Laboratory of Intelligent Computing and Signal Processing Ministry of Education Anhui University Hefei 230039 Institute of Artificial Intelligence Anhui University Hefei 230039

ISBN: (纸本)0780390172

The theory of granule computing based on the quotient space is one of the three main granule computing theories. The emphasis is on the structure of the quotient space theory in this paper. Comparing with Rough Set theory, the authors point out the importance of the structure in granule computing theory. A new method of constructing quotient space according to the structure is also presented in this paper. The differences between the quotient structure and structure-based method are proved. Finally, some examples show the rationality and feasibility of our methods. © 2005 IEEE.

关键词： Data processing

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Some marginal learning algorithms for unsupervised problems

Some marginal learning algorithms for unsupervised problems

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IEEE International Conference on intelligence and Security Informatics, ISI 2005

作者： Tao, Qing Wu, Gao-Wei Wang, Fei-Yue Wang, Jue Key Laboratory of Complex Systems and Intelligence Science Institute of Automation Chinese Academy of Sciences Beijing 100080 China Key Laboratory of Intelligent Information Processing Institute of Computing Technology Chinese Academy of Sciences Beijing 100080 China

In this paper, we investigate one-class and clustering problems by using statistical learning theory. To establish a universal framework, a unsupervised learning problem with predefined threshold η is formally described and the intuitive margin is introduced. Then, one-class and clustering problems are formulated as two specific η-unsupervised problems. By defining a specific hypothesis space in η-one-class problems, the crucial minimal sphere algorithm for regular one-class problems is proved to be a maximum margin algorithm. Furthermore, some new one-class and clustering marginal algorithms can be achieved in terms of different hypothesis spaces. Since the nature in SVMs is employed successfully, the proposed algorithms have robustness, flexibility and high performance. Since the parameters in SVMs are interpretable, our unsupervised learning framework is clear and natural. To verify the reasonability of our formulation, some synthetic and real experiments are conducted. They demonstrate that the proposed framework is not only of theoretical interest, but they also has a legitimate place in the family of practical unsupervised learning techniques. © Springer-Verlag Berlin Heidelberg 2005.

关键词： Learning algorithms

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A graph and PNN-based approach to image classification

A graph and PNN-based approach to image classification

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International Conference on Machine Learning and Cybernetics (ICMLC)

作者： Jin Tang Chun-Yan Zhang Bin Luo Key Laboratory of Intelligent Computing and Signal Processing of Anhui University Hefei China

In this paper, a new image classification method is developed. This approach applies graph decomposition and probabilistic neural networks (PNN) to the task of supervised image classification. We use relational graphs to represent image. These graphs are constructed from the feature points of images. Spectra of these graphs are obtained as feature vectors for classification. PNN is adopted to classify image according to the feature vectors. Experimental results show that this method can achieve best result of images classification.

关键词： Image classification Neural networks Pattern recognition Eigenvalues and eigenfunctions Remote sensing Image sequences Equations signal processing Electronic mail Image processing

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LPP/QR for under-sampled image recognition

LPP/QR for under-sampled image recognition

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International Conference on Machine Learning and Cybernetics (ICMLC)

作者： Si-Bao Chen Hai-Feng Zhao Bin Luo Key Laboratory of Intelligent Computing & Signal Processing of Ministry of Education Anhui University Hefei China

In this paper, we propose a dimension reduction method of locality preserving projections based on QR-decomposition of training data matrix, namely LPP/QR. It is efficient and effective in under-sampled recognition of image and text data, especially when the number of dimension of data is greater than the number of training samples. Its theoretical foundation is presented. The equivalence between LPP/QR and generalized LPP is induced although LPP/QR is faster than generalized LPP. Several experiments are conducted on Yale face database. High recognition rates show that the algorithm performs better in under-sampled situations.

关键词： Image recognition Principal component analysis Linear discriminant analysis Face detection Training data Scattering Kernel Independent component analysis Laplace equations signal processing

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The quotient structure in granule computing

The quotient structure in granule computing

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IEEE International Conference on Granular computing (GRC)

作者： Shu Zhao Yan-ping Zhang Ling Zhang Jie Chen Zhong Wan Ying-chun Zhang Chen-xi Zhang Key Laboratory of Intelligent Computing & Signal Processing of Ministry of Education Anhui University Hefei China

The theory of granule computing based on the quotient space is one of the three main granule computing theories. The emphasis is on the structure of the quotient space theory in this paper. Comparing with rough set theory, the authors point out the importance of the structure in granule computing theory. A new method of constructing quotient space according to the structure is also presented in this paper. The differences between the quotient structure and structure-based method are proved. Finally, some examples show the rationality and feasibility of our methods.

关键词： Artificial intelligence Set theory Problem-solving Humans Switches Cognitive science Expert systems Switching circuits Technological innovation signal processing

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Online infomax algorithm and its application to remove EEG artifacts

Online infomax algorithm and its application to remove EEG a...

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2005 27th Annual International Conference of the Engineering in Medicine and Biology Society, IEEE-EMBS 2005

作者： Xiaopei, Wu Zhongfu, Ye Schoo1 of Information Science and Technology University of Science and Technology of China Hefei 230026 Anhui province China Key Laboratory of Intelligent Computing and Signal Processing Ministry of Education Anhui University Hefei 230039 Anhui province China

ISBN: (纸本)0780387406

A online infomax algorithm is proposed in this paper. The performances and properties of this online algorithm is investigated in detail. To the problem of the artifacts removal in real life EEG signal, both the online-and batch infomax algorithm are applied and compared. The experiment results show that the online infomax algorithm proposed in this paper has the good performance both in artifacts removal and convergence in time-varying mixing system. © 2005 IEEE.

关键词： Algorithms

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Semi-order structure fusion model of quotient spaces under the condition of inconsistency information

Semi-order structure fusion model of quotient spaces under t...

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IEEE International Conference on Granular computing (GRC)

作者： Hongbin Fang Ling Zhang Department of Mathematics Anhui University Hefei China Department of Key Laboratory of Intelligent Computing & Signal Processing of Ministry of Education Institute of Artificial Intelligence Anhui University Hefei China

The quotient space theory obtains a fusion model about semi-order structure under the condition of consistency information, harnessing topology relation among elements of the universe space and hierarchical structure. It has great significance to forming a unified theory structure about information fusion technology. This paper gets a new semi-order structure fusion model under the condition of inconsistency information and proves incompleteness of its semi-order lattice . An example is presented in the paper at last as well as a new method is indicated for Bayesian network structure learning.

关键词： Space technology Laboratories signal processing Lattices Bayesian methods Network topology Fuzzy set theory Entropy Cognition Concrete

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Generalizing quotient space theory from structural viewpoint

Generalizing quotient space theory from structural viewpoint

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IEEE International Conference on Granular computing (GRC)

作者： W.L. Chen J.X. Cheng Key Laboratory of Intelligent Computing & Signal Processing Ministry of Education Anhui University of Science and Technology Hefei Anhui China

Quotient space theory of problem solving, a formal model of granular computing, is generalized in the sense that topological structure is replaced by Cech's closure space. Some basic issues of granular computing, such as the representation of real world at different levels of granularity, property preserving and the construction of granular world, are discussed in detail. It turns out that most of conclusions of the classical quotient space theory keep being valid, so intension and applicable fields are enriched and enlarged respectively.

关键词： Problem-solving Topology signal processing Set theory Humans Artificial intelligence Processor scheduling Path planning Lattices Intelligent structures

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Order relation is the necessary condition of success of fuzzy control system

Order relation is the necessary condition of success of fuzz...

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IEEE International Conference on Granular computing (GRC)

作者： C.J. Zhang L. Zhang Department of Ministry Key Laboratory of Artificial Intelligence and Signal Processing Anhui University Hefei China Department of Electronic and Information Engineering Anhui Normal University Wuhu China

Inspired by the quotient space theory and fuzzy concept, it is pointed out that the foundation of success of FCS (fuzzy control system) does not refer to the value-getting of MFs (membership functions) and the success can be achieved by obtaining the mutual relationships between elements, namely the relationships of their order. The hierarchical structure, which is made up of order relation, is the essential characteristic of fuzzy control. It's the necessary condition of the success of FCS. At the end of this paper, the logical control system based on order relation is given. Its controlling rules are more accustomed to the mental habits of the mankind and it may achieve the ideal performance of steady state. MATLAB's simulation demonstrates the above-mentioned conclusions.

关键词： Fuzzy control Fuzzy logic Fuzzy sets Fuzzy systems Fuzzy reasoning Steady-state Artificial intelligence signal processing Control systems Computer languages

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A note on equicontinuous maps of graph space

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Journal of Chongqing University 2005年第2期4卷 121-124页

作者：乔宗敏 Key Laboratory of intelligent Computing and Signal Processing of Ministry of Education Anhui UniversityHefei 230039 P.R. China Department of Mathematics Anhui Educational Institute Hefei 230061 P.R. China

Let G be a graph and f: G→ G be a continuous map with at least one periodic point. Using the quote space method, the paper addresses that f is an equicontinuous map if and only if one of the following End(G)+2k+1 conditions holds: 1) {f jm(End(G)+2k)!}∞j=1 is uniformly convergent, in which m=1,2,…, End(G)+2k; and 2) There is a positive integer n esuring that {f jn}∞j=1 is uniformly convergent.

关键词： graph equcontinuous map quotient space uniformly convergent

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