• Title/Summary/Keyword: almost generalized

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Sensitivity Property of Generalized CMAC Neural Network

  • Kim, Dong-Hyawn;Lee, In-Won
    • Computational Structural Engineering : An International Journal
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    • v.3 no.1
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    • pp.39-47
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    • 2003
  • Generalized CMAC (GCMAC) is a type of neural network known to be fast in learning. The network may be useful in structural engineering applications such as the identification and the control of structures. The derivatives of a trained GCMAC is relatively poor in accuracy. Therefore to improve the accuracy, a new algorithm is proposed. If GCMAC is directly differentiated, the accuracy of the derivative is not satisfactory. This is due to the quantization of input space and the shape of basis function used. Using the periodicity of the predicted output by GCMAC, the derivative can be improved to the extent of having almost no error. Numerical examples are considered to show the accuracy of the proposed algorithm.

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Simultaneous Identification of Multiple Outliers and High Leverage Points in Linear Regression

  • Rahmatullah Imon, A.H.M.;Ali, M. Masoom
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.2
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    • pp.429-444
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    • 2005
  • The identification of unusual observations such as outliers and high leverage points has drawn a great deal of attention for many years. Most of these identifications techniques are based on case deletion that focuses more on the outliers than the high leverage points. But residuals together with leverage values may cause masking and swamping for which a good number of unusual observations remain undetected in the presence of multiple outliers and multiple high leverage points. In this paper we propose a new procedure to identify outliers and high leverage points simultaneously. We suggest an additive form of the residuals and the leverages that gives almost an equal focus on outliers and leverages. We analyzed several well-referred data set and discover few outliers and high leverage points that were undetected by the existing diagnostic techniques.

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CONFORMAL HEMI-SLANT SUBMERSIONS FROM ALMOST HERMITIAN MANIFOLDS

  • Kumar, Sumeet;Kumar, Sushil;Pandey, Shashikant;Prasad, Rajendra
    • Communications of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.999-1018
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    • 2020
  • In this paper, our main objective is to introduce the notion of conformal hemi-slant submersions from almost Hermitian manifolds onto Riemannian manifolds as a generalized case of conformal anti-invariant submersions, conformal semi-invariant submersions and conformal slant submersions. We mainly focus on conformal hemi-slant submersions from Kähler manifolds. During this manner, we tend to study and investigate integrability of the distributions which are arisen from the definition of the submersions and the geometry of leaves of such distributions. Moreover, we tend to get necessary and sufficient conditions for these submersions to be totally geodesic for such manifolds. We also provide some quality examples of conformal hemi-slant submersions.

HOMOMORPHISMS BETWEEN C*-ALGEBRAS ASSOCIATED WITH THE TRIF FUNCTIONAL EQUATION AND LINEAR DERIVATIONS ON C*-ALGEBRAS

  • Park, Chun-Gil;Hou, Jin-Chuan
    • Journal of the Korean Mathematical Society
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    • v.41 no.3
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    • pp.461-477
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    • 2004
  • It is shown that every almost linear mapping h : A\longrightarrowB of a unital $C^{*}$ -algebra A to a unital $C^{*}$ -algebra B is a homomorphism under some condition on multiplication, and that every almost linear continuous mapping h : A\longrightarrowB of a unital $C^{*}$ -algebra A of real rank zero to a unital $C^{*}$ -algebra B is a homomorphism under some condition on multiplication. Furthermore, we are going to prove the generalized Hyers-Ulam-Rassias stability of *-homomorphisms between unital $C^{*}$ -algebras, and of C-linear *-derivations on unital $C^{*}$ -algebras./ -algebras.

STRUCTURE THEOREMS FOR SOME CLASSES OF GRADE FOUR GORENSTEIN IDEALS

  • Cho, Yong Sung;Kang, Oh-Jin;Ko, Hyoung June
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.99-124
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    • 2017
  • The structure theorems [3, 6, 21] for the classes of perfect ideals of grade 3 have been generalized to the structure theorems for the classes of perfect ideals linked to almost complete intersections of grade 3 by a regular sequence [15]. In this paper we obtain structure theorems for two classes of Gorenstein ideals of grade 4 expressed as the sum of a perfect ideal of grade 3 (except a Gorenstein ideal of grade 3) and an almost complete intersection of grade 3 which are geometrically linked by a regular sequence.

An extension of the hong-park version of the chow-robbins theorem on sums of nonintegrable random variables

  • Adler, Andre;Rosalsky, Andrew
    • Journal of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.363-370
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    • 1995
  • A famous result of Chow and Robbins [8] asserts that if ${X_n, n \geq 1}$ are independent and identically distributed (i.i.d.) random variables with $E$\mid$X_1$\mid$ = \infty$, then for each sequence of constants ${M_n, n \geq 1}$ either $$ (1) lim inf_{n\to\infty} $\mid$\frac{M_n}{\sum_{j=1}^{n}X_j}$\mid$ = 0 almost certainly (a.c.) $$ or $$ (2) lim sup_{n\to\infty}$\mid$\frac{M_n}{\sum_{j=1}^{n}X_j}$\mid$ = \infty a.c. $$ and thus $P{lim_{n\to\infty} \sum_{j=1}^{n}X_j/M_n = 1} = 0$. Note that both (1) and (2) may indeed prevail.

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ELEMENTS OF THE KKM THEORY ON CONVEX SPACES

  • Park, Se-Hie
    • Journal of the Korean Mathematical Society
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    • v.45 no.1
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    • pp.1-27
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    • 2008
  • We introduce a new concept of convex spaces and a multimap class K having certain KKM property. From a basic KKM type theorem for a K-map defined on an convex space without any topology, we deduce ten equivalent formulations of the theorem. As applications of the equivalents, in the frame of convex topological spaces, we obtain Fan-Browder type fixed point theorems, almost fixed point theorems for multimaps, mutual relations between the map classes K and B, variational inequalities, the von Neumann type minimax theorems, and the Nash equilibrium theorems.

Comparative Evaluation of Dam-Break Models

  • Lee, Chang-hoon;Lee, Kil-Seong
    • Korean Journal of Hydrosciences
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    • v.1
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    • pp.27-38
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    • 1990
  • Three representative dam-break models, HEC-1, DAMBRK, and SMPDBK were analyzed respectively in their theories and then applied to the failure of Teton Dam for which some observed data exist. From the results of this study, it can be concluded that:(1)HEC-1, which uses the hydrologic routing method, produces stable solutions for almost all the cases that were tested in this study :(2)DAMBRK, which uses the dynamic routing method, is most accurate among the three models ;(3)SMPDBK, which uses the generalized dyanmic routing relationships, is most economical and easily applicable.

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Adaptive HLMS-GSC Algorithm in Time Domain Based on Wavelets (웨이브렛에 의한 시간영역에서의 적응 HLMS-GSC 알고리듬)

  • 이정연;황석윤;홍춘표;임중수
    • Proceedings of the IEEK Conference
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    • 2002.06d
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    • pp.385-388
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    • 2002
  • This paper proposes a new GSC (Generalized Sidelobe Canceller) structure, called HLMS-GSC. Compared to Griffiths and Jim's GSC structure, the number of complex multiplication required is reduced to one half. The simulation results show that the minimum mean square errors and performance of nulling jammers by using HLMS-GSC are almost the same compared to Griffiths and Jim's GSC, although the complexity is reduced significantly. As a result, the proposed adaptive beamformer is good for real time implementation, since it has low complexity compared to previous GSC structures.

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Adaptive HFLMS-GSC Algorithm in Frequency Domain Based on Wavelets (웨이브렛에 의한 주파수영역에서의 적응 HFLMS-GSC 알고리듬)

  • 이정연;황석윤;홍춘표;임중수
    • Proceedings of the IEEK Conference
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    • 2002.06d
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    • pp.389-392
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    • 2002
  • This paper propose a new GSC (Generalized Sidelobe Canceller) structure, called HFLMS-GSC. The number of complex multiplication required is reduced to one half compared to FLMS-GSC. The simulation results show that mean square error converging and jamming signal removing characteristics are almost the same compared to FLMS-GSC, although the complexity is reduced significantly. As a result, the proposed structure is good for real time implementation, since it has low complexity compared to previous GSC structures.

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