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Constructing Three-Dimension Space Graph for Outlier Detection Algorithms in Data Mining

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Wuhan university Journal of Natural Sciences 2004年第5期9卷 585-589页

作者： ZHANG Jing 1,2 , SUN Zhi-hui 1 1.department of Computer Science and Engineering, southeast university, nanjing 210096, Jiangsu, china 2.department of Electricity and Information Engineering, Jiangsu university, Zhenjiang 212001, Jiangsu, china department of Computer Science and Engineering Southeast University. Nanjing 210096 Jiangsu China

Outlier detection has very important applied value in data mining literature. Different outlier detection algorithms based on distinct theories have different definitions and mining processes. The three-dimensional space graph for constructing applied algorithms and an improved GridOf algorithm were proposed in terms of analyzing the existing outlier detection algorithms from criterion and theory. Key words outlier - detection - three-dimensional space graph - data mining CLC number TP 311. 13 - TP 391 Foundation item: Supported by the National Natural Science Foundation of china (70371015)Biography: ZHANG Jing (1975-), female, Ph. D, lecturer, research direction: data mining and knowledge discovery.

关键词： outlier detection three-dimensional space graph data mining

Diophantine vectors in analytic submanifolds of Euclidean spaces

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Science china mathematics 2007年第9期50卷 1334-1338页

作者： Rong-mei CAO~(1+) Jian-gong YOU~2 1 College of Science,nanjing university of Aeronautics and Astronautics,nanjing 210016,china 2.department of mathematics,nanjing university,nanjing 210093,china 1. College of Science Nanjing University of Aeronautics and Astronautics Nanjing 210016 China 2. department of mathematics Nanjing University Nanjing 210093 China

Let $\mathcal{M}$ be an m-dimensional analytic manifold in ? n . In this paper, we prove that almost all vectors in $\mathcal{M}$ (in the sense of Lebesgue measure) are Diophantine if there exists one Diophantine vect... 详细信息

关键词： diophantine vector analytic submanifold 32C05

ABSOLUTELY E-PURE MODULES AND E-PURE SPLIT MODULES

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Acta Mathematica Scientia 2011年第1期31卷 207-220页

作者：阎舫宇 department of mathematics Nanjing University department of Basic Courses China Pharmaceutical University

We first introduce the concepts of absolutely E-pure modules and E-pure split modules. Then, we characterize the IF rings in terms of absolutely E-pure modules. The E-pure split modules are also characterized.

关键词： Absolutely E-pure module E-pure split module IF ring copure flat module

Uniqueness theorem for algebraic curves on compact Riemann surfaces

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Science china mathematics 2007年第5期50卷 683-688页

作者： Yan XU & Min RU department of mathematics, nanjing Normal university, nanjing 210097, china department of mathematics, university of Houston, Houston, TX 77401, USA 1. department of mathematics Nanjing Normal University Nanjing 210097 China 2. department of mathematics University of Houston Houston TX 77401 USA

In this paper, we prove a uniqueness theorem for algebraic curves from a compact Riemann surface into complex projective spaces.

关键词： uniqueness theorem algebraic curves Riemann surfaces Nevanlinna theory 32H30

On the Conditions of a Center and General Integrals of Quadratic Differential Systems

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Acta Mathematica Sinica,English Series 2001年第2期17卷 229-236页

作者： Wei Yin YE department of mathematics. nanjing Normal university. nanjing 210097, P. R. china Yan Qian YE department of mathematics. nanjing university, nanjing 210093, P. R. china department of mathematics Nanjing Normal University Nanjing 210097 P. R. China department of mathematics Nanjing University Nanjing 210093 P. R. China

We give the general integral of quadratic differential system with center in two cases under the Chinese classification.

关键词： Quadratic differential system Center General integral

Classification of Wavelet Bases by Translation Subgroups and Nonharmonic Wavelet Bases

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Acta Mathematica Sinica,English Series 2000年第2期16卷 307-312页

作者： Qiao Wang department of Radio Engineering,southeast university,nanjing 210096,P.R.china department of Radio Engineerin Southeast University Nanjing 210096 P. R. China

The structure of the set S of shiftable points of wavelet subspaces is researched in this *** prove that S=R or S=(1/q)Z where q ∈ *** spectral and functional characterizations for the shiftability are ***,the nonhar... 详细信息

关键词： Wavelet Translation invariance Functional characterization

ASYMPTOTIC PROPERTIES OF MLE IN EXPONENTIAL FAMILY NONLINEAR MODELS

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Systems Science and Mathematical Sciences 1997年第3期10卷 193-201页

作者： ZHU Zhongyi WEI Bocheng(department of mathematics, southeast university, nanjing 210096, china)

In this paper, a necessary condition for the existence of any weakly consistentestimator is presented in exponential family nonlinear models. Then we give one morenecessary condition for a consistent estimator in generalized linear models. Under mildregularity conditions, the existence, the strong consistency and the asymptotic normalityof MLE are proved in exponential family nonlinear models. Our results may be regardedas a further work of [1] in generalized linear models.

关键词： Exponential family nonlinear models consistency asymptotic normality maximum likelihood estimator Fisher information matrix.

A Bilevel Decision Method for the Multiobjective Problem with 0-1 Variables

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Journal of southeast university(English Edition) 1996年第1期12卷 113-118页

作者： Guohua(department of mathematics, southeast university, nanjing 210018)

It is shown that if G is a 2 connected graph on n≥10 vertices such that d(x)+d(y)+d(z)≥3n/2-2 for every triple of vertices x,y,z with min {d(x,y),d(y,z),d(x,z)}=2 , then G is pancyclic or ... 详细信息

关键词： degree sum pancyclic graph vertex distance

Proof of inseparable prime C~*-algebras A with RR(A)=0 being primitive C~*-algebras

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Chinese Science Bulletin 1999年第8期44卷 688-690页

作者： ZHANG Lunchuan and MA Jipudepartment of mathematics , Beijing Normal university , Beijing 100875, china department of mathematics , nanjing university, nanjing 210093, china department of mathematics Beijing Normal University Beijing China department of mathematics Nanjing University Nanjing China

First, that prime C~* -algebras with countable primitive ideals are all primitive C*-algebras is proved. Then the proof that prime C~* -algebras with property RR(A) = 0 are all primitive C~*-algebras is given.

关键词： prime C~*-algebras primitive C~*-algebras hereditary C~*-algebras open projection and close projection.