• Title/Summary/Keyword: BK space

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Centroid Neural Network with Bhattacharyya Kernel (Bhattacharyya 커널을 적용한 Centroid Neural Network)

  • Lee, Song-Jae;Park, Dong-Chul
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.9C
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    • pp.861-866
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    • 2007
  • A clustering algorithm for Gaussian Probability Distribution Function (GPDF) data called Centroid Neural Network with a Bhattacharyya Kernel (BK-CNN) is proposed in this paper. The proposed BK-CNN is based on the unsupervised competitive Centroid Neural Network (CNN) and employs a kernel method for data projection. The kernel method adopted in the proposed BK-CNN is used to project data from the low dimensional input feature space into higher dimensional feature space so as the nonlinear problems associated with input space can be solved linearly in the feature space. In order to cluster the GPDF data, the Bhattacharyya kernel is used to measure the distance between two probability distributions for data projection. With the incorporation of the kernel method, the proposed BK-CNN is capable of dealing with nonlinear separation boundaries and can successfully allocate more code vector in the region that GPDF data are densely distributed. When applied to GPDF data in an image classification probleml, the experiment results show that the proposed BK-CNN algorithm gives 1.7%-4.3% improvements in average classification accuracy over other conventional algorithm such as k-means, Self-Organizing Map (SOM) and CNN algorithms with a Bhattacharyya distance, classed as Bk-Means, B-SOM, B-CNN algorithms.

INTEGRATED RATE SPACE ∫ ℓπ

  • Subramanian, N.;Rao, K. Chandrasekhara;Gurumoorthy, N.
    • Communications of the Korean Mathematical Society
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    • v.22 no.4
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    • pp.527-534
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    • 2007
  • This paper deals with the BK-AK property of the integrated rate space ${\int}{\ell}_{\pi}$. Importance of ${\delta}^{(k)}$ in this content is pointed out. We investigate a determining set for the integrated rate space ${\int}{\ell}_{\pi}$. The set of all infinite matrices transforming ${\int}{\ell}_{\pi}$, into BK-AK space Y is denoted $({\int}{\ell}_{\pi}:\;Y)$. We characterize the classes $({\int}{\ell}_{\pi}:\;Y)$. When $Y={\ell}_{\infty},\;c_0,\;c,\;{\ell}^p,\;bv,\;bv_0,\;bs,\;cs,\;{\ell}_p,\;{\ell}_{\pi}$. In summary we have the following table:

G-vector-valued Sequence Space Frames

  • Osgooei, Elnaz
    • Kyungpook Mathematical Journal
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    • v.56 no.3
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    • pp.793-806
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    • 2016
  • G-vector-valued sequence space frames and g-Banach frames for Banach spaces are introduced and studied in this paper. Also, the concepts of duality mapping and ${\beta}$-dual of a BK-space are used to define frame mapping and synthesis operator of these frames, respectively. Finally, some results regarding the existence of g-vector-valued sequence space frames and g-Banach frames are obtained. In particular, it is proved that if X is a separable Banach space and Y is a Banach space with a Schauder basis, then there exist a Y-valued sequence space $Y_v$ and a g-Banach frame for X with respect to Y and $Y_v$.

Suppression of Magnetization Ringing After Domain Wall Collision Studied by Micromagnetic Simulation

  • Djuhana, Dede;Piao, Hong-Guang;Lee, Sang-Hyuk;Jun, Su-Hyeong;Shim, Je-Ho;Kim, Dong-Hyun
    • Journal of Magnetics
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    • v.13 no.4
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    • pp.120-123
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    • 2008
  • Magnetization ringing following domain wall collision on a ferromagnetic nanowire has been investigated by micromagnetic simulation. Suppressed magnetization ringing is observed with the introduction of a small ribbon to the nanowire. Magnetization ringing has been analyzed in a frequency space by a fast Fourier transform. With the introduction of a small ribbon and/or taping of the wire, the amplitude of ringing is reduced with a shifted frequency peak.

SECTIONAL ANALYTICITY IN SEQUENCE SPACES

  • Balasubramanian, T.;Pandiarani, A.;Chelvam, T. Tamizh
    • The Pure and Applied Mathematics
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    • v.17 no.2
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    • pp.151-156
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    • 2010
  • The object of the present paper is to introduce ${\Lambda}$-dual and the concept of sectional analyticity (Abschinitts-anatytique or AA property) of an FK-space.The motivation for AA-property is that a sequence space having AK-property possess AA-property.

LIPSCHITZ TYPE CHARACTERIZATIONS OF HARMONIC BERGMAN SPACES

  • Nam, Kyesook
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.4
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    • pp.1277-1288
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    • 2013
  • Wulan and Zhu [16] have characterized the weighted Bergman space in the setting of the unit ball of $C^n$ in terms of Lipschitz type conditions in three different metrics. In this paper, we study characterizations of the harmonic Bergman space on the upper half-space in $R^n$. Furthermore, we extend harmonic analogues in the setting of the unit ball to the full range 0 < p < ${\infty}$. In addition, we provide the application of characterizations to showing the boundedness of a mapping defined by a difference quotient of harmonic function.

Reconstruction of failed fixed implant prosthesis accompanied by abutment screw loosening and fracture : A case report (나사풀림과 나사파절이 동반된 실패한 임플란트 고정성 보철물의 회복증례)

  • Bae, Eun-Bin;Shin, Young-Gun;Jeon, Young-Chan;Jeong, Chang-Mo;Yun, Mi-Jung;Lee, So-Hyoun;Huh, Jung-Bo
    • The Journal of the Korean dental association
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    • v.55 no.7
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    • pp.457-466
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    • 2017
  • In the case of failed fixed implant prosthesis accompanied by abutment screw fracture, fractured screw fragment must be removed to use the existing implant fixtures. A 61-year-old male patient, who had a failed maxillary fixed implant prosthesis accompanied by three abutment screw fracture, hoped to reconstruct the maxillary implant prosthesis, while maintaining the existing implant fixtures. To use the existing implant fixtures, fractured screw fragments were removed. A maxillary implant overdenture using available existing implants was planned. Bar-attachment with Locator was used for implant splinting, denture stability, and retention. Final impression was taken after treatment of peri-implantitis. Jaw relation registration was taken to evaluate available interarch space for bar-attachment. After fabricating bar-attachment, centric relation was taken. Implant overdenture using bar-attachment with Locator was delivered after wax-denture evaluation. This case report showed that a satisfactory clinical result was achieved by implant overdenture using existing implant fixtures in a maxillary edentulous patient.

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Do Inner Planets Modulate the Space Environment of the Earth?

  • Kim, Jung-Hee;Chang, Heon-Young
    • Journal of Astronomy and Space Sciences
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    • v.31 no.1
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    • pp.7-13
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    • 2014
  • Variabilities in the solar wind cause disturbances throughout the heliosphere on all temporal and spatial scales, which leads to changeable space weather. As a view of space weather forecasting, in particular, it is important to know direct and indirect causes modulating the space environment near the Earth in advance. Recently, there are discussions on a role of the interaction of the solar wind with Mercury in affecting the solar wind velocity in the Earth's neighborhood during its inferior conjunctions. In this study we investigate a question of whether other parameters describing the space environment near the Earth are modulated by the inner planets' wake, by examining whether the interplanetary magnetic field and the proton density in the solar wind observed by the Advanced Composition Explorer (ACE) spacecraft, and the geomagnetic field via the Dst index and Auroral Electrojet index (AE index) are dependent upon the relative position of the inner planets. We find there are indeed apparent variations. For example, the mean variations of the geomagnetic fields measured in the Earth's neighborhood apparently have varied with a timescale of about 10 to 25 days. Those variations in the parameters we have studied, however, turn out to be a part of random fluctuations and have nothing to do with the relative position of inner planets. Moreover, it is found that variations of the proton density in the solar wind, the Dst index, and the AE index are distributed with the Gaussian distribution. Finally, we point out that some of properties in the behavior of the random fluctuation are to be studied.

Implementation and Experiment of Neural Network Controllers for Intelligent Control System Education

  • Lee, Geun-Hyeong;Noh, Jin-Seok;Jung, Seul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.7 no.4
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    • pp.267-273
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    • 2007
  • This paper presents the implementation of an educational kit for intelligent system control education. Neural network control algorithms are presented and control hardware is embedded to control the inverted pendulum system. The RBF network and the MLP network are implemented and embedded on the DSP 2812 chip and other necessary functions are embedded on an FPGA chip. Experimental studies are conducted to compare performances of two neural control methods. The intelligent control educational kit(ICEK) is implemented with the inverted pendulum system whose movements of the cart is limited by space. Experimental results show that the neural controllers can manage to control both the angle and the position of the inverted pendulum systems within a limited distance. Performances of the RCT and the FEL control method are compared as well.