• Title/Summary/Keyword: ${\lambda}_2-Method$

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Complexity Control Method of Chaos Dynamics in Recurrent Neural Networks

  • Sakai, Masao;Honma, Noriyasu;Abe, Kenichi
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.494-494
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    • 2000
  • This paper demonstrates that the largest Lyapunov exponent $\lambda$ of recurrent neural networks can be controlled by a gradient method. The method minimizes a square error $e_{\lambda}=(\lambda-\lambda^{obj})^2$ where $\lambda^{obj}$ is desired exponent. The $\lambda$ can be given as a function of the network parameters P such as connection weights and thresholds of neurons' activation. Then changes of parameters to minimize the error are given by calculating their gradients $\partial\lambda/\partialP$. In a previous paper, we derived a control method of $\lambda$via a direct calculation of $\partial\lambda/\partialP$ with a gradient collection through time. This method however is computationally expensive for large-scale recurrent networks and the control is unstable for recurrent networks with chaotic dynamics. Our new method proposed in this paper is based on a stochastic relation between the complexity $\lambda$ and parameters P of the networks configuration under a restriction. Then the new method allows us to approximate the gradient collection in a fashion without time evolution. This approximation requires only $O(N^2)$ run time while our previous method needs $O(N^{5}T)$ run time for networks with N neurons and T evolution. Simulation results show that the new method can realize a "stable" control for larege-scale networks with chaotic dynamics.

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Luminous efficiency's estimation method of transmitted light in lenses (렌즈에서 투과된 광의 시감도 추정 방법)

  • Kim, Yong-Geun
    • Journal of Korean Ophthalmic Optics Society
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    • v.8 no.2
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    • pp.163-168
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    • 2003
  • The eye sensitivity in the difference conditions of a light source intensity consists of two functions by the receptor of cone and rod according to a wavelength. We derived a distribution function of $P{\lambda}=A{\cdot}e^{-({\lambda}-{\lambda}_u)^2/2W^2}$ using a respond probability of the receptor of cone-rod for a photon. It was well applied for a CIE eye's sensitivity curve of a wavelength. When there is lens In front of eye, luminous efficiency should be corrected. Transmission light which permeate to depends on absorption wavelength, and relationship of final luminous efficiency's estimation method is expressed by multiplication of luminous efficiency and transmittance intensity of lens. $$Pf({\lambda})=T({\lambda}){\cdot}P({\lambda})$$. The theory was applied to photopic and scopic vision with brown color lens.

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Abrupt/Gradual Scene Change Detection Method (급진적/점진적 장면 전환 검출 기법)

  • Baek, Jeong-Uk;Shin, Seong-Yoon;Rhee, Yang-Won
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2009.10a
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    • pp.179-180
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    • 2009
  • We propose the method of analysis, separation, and express from normalized and standard method to reduce the problem with the existing scene change detection and the complicated and variety of images of real change. In this paper, we propose a new local ${\lambda}^2$-test which was combined the ${\lambda}^2$-existing test methods and local color histograms. This method is robust method of abrupt and gradual detection and solve the problem of traditional method.

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Expanding Generalized Hadamard Matrices over $G^m$ by Substituting Several Generalized Hadamard Matrices over G

  • No, Jong-Seon;Song, Hong-Yeop
    • Journal of Communications and Networks
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    • v.3 no.4
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    • pp.361-364
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    • 2001
  • Over an additive abelian group G of order g and for a given positive integer $\lambda$, a generalized Hadamard matrix GH(g, $\lambda$) is defined as a gλ$\times$gλ matrix[h(i, j)], where 1 $\leq i \leqg\lambda and 1 \leqj \leqg\lambda$, such that every element of G appears exactly $\lambd$atimes in the list h($i_1, 1) -h(i_2, 1), h(i_1, 2)-h(i_2, 2), …, h(i_1, g\lambda) -h(i_2, g\lambda), for any i_1\neqi_2$. In this paper, we propose a new method of expanding a GH(g^m, \lambda_1) = B = [B_{ij}] over G^m$ by replacing each of its m-tuple B_{ij} with B_{ij} + GH(g, $\lambda_2) where m = g\lambda_2. We may use g^m/\lambda_1 (not necessarily all distinct) GH(g, \lambda_2$)s for the substitution and the resulting matrix is defined over the group of order g.

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Measurement Guideline of Fresnel-Field Antenna Measurement Method

  • Oh, Soon-Soo;Moon, Jung-Ick
    • ETRI Journal
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    • v.31 no.1
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    • pp.68-70
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    • 2009
  • In this letter, a parametric analysis of the Fresnel-field antenna measurement method is performed for a square aperture. As a result, the optimum number of Fresnel fields for one far-field point is guided as $M_{opt}=N_{opt}=D^2/{\lambda}R+5$, where D is the antenna diameter, ${\lambda}$ is the wavelength, and R is the distance between the source antenna and the antenna under test. For the aperture size 5 ${\leq}$ $L_x/{\lambda}$ ${\leq}$ 20, the tolerable distances for gain errors of 0.5 dB and 0.2 dB can be guided as $R_{0.5\;dB}$ ${\approx}$ $1.2Lx/{\lambda}$ and $R_{0.2\;dB}$ ${\approx}$ $2.0L_x/{\lambda}$, where $L_x$ is the lateral length of the square aperture. The tolerable distances for 20 ${\leq}$ $L_x/{\lambda}$ ${\leq}$ 200 are also proposed. This measurement guideline can be fully utilized when performing the Fresnel-field antenna measurement method.

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DIOPHANTINE INEQUALITY WITH FOUR SQUARES AND ONE kTH POWER OF PRIMES

  • Zhu, Li
    • Journal of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.985-1000
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    • 2019
  • Let k be an integer with $k{\geq}3$. Define $h(k)=[{\frac{k+1}{2}}]$, ${\sigma}(k)={\min}\(2^{h(k)-1},\;{\frac{1}{2}}h(k)(h(k)+1)\)$. Suppose that ${\lambda}_1,{\ldots},{\lambda}_5$ are non-zero real numbers, not all of the same sign, satisfying that ${\frac{{\lambda}_1}{{\lambda}_2}}$ is irrational. Then for any given real number ${\eta}$ and ${\varepsilon}>0$, the inequality $${\mid}{\lambda}_1p^2_1+{\lambda}_2p^2_2+{\lambda}_3p^2_3+{\lambda}_4p^2_4+{\lambda}_5p^k_5+{\eta}{\mid}<({\max_{1{\leq}j{\leq}5}}p_j)^{-{\frac{3}{20{\sigma}(k)}}+{\varepsilon}}$$ has infinitely many solutions in prime variables $p_1,{\ldots},p_5$. This gives an improvement of the recent results.

Uniformity estimation mathod and application of thin film in Coating lenses (Coating 렌즈에서 박막의 균일성 평가 방법 및 적용)

  • Kim, Yong Geun;Park, Sang-An
    • Journal of Korean Ophthalmic Optics Society
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    • v.7 no.2
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    • pp.175-180
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    • 2002
  • Use spctrophotometer to estimate thin film uniformity of lens, Compare, and analyze thin film uniformity availability selecting two peaks of Reflectance(R%) measuring on spectrum. Wavelength dependence's Reflectance in position of center, middle and edge of lens etc... obtain thin film's thickness (t) from Wavelength region (${\lambda}_1,{\lambda}_2$) of two peaks of Reflectance. $$t=\frac{1}{2(n^2-\sin^2{\theta})^{1/2}}{\times}\frac{{\lambda}_1{\lambda}_2}{{\lambda}_2-{\lambda}_1}$$ If Reflectance pattern is uniformity value in position of center middle of lens, edge etc... thin film has uniformity. Applied thin film uniformity estimation method to 1st layer $MgF_2$(n=1.38) coating lens. It was about thin film's thickness difference 360nm. Can analyze coating lens' thin film uniformity easily from Reflectance relationship measurement about Wavelength dependence.

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Development of Absorption Coefficients Estimation Algorithms for the Water Components by Empirical Method around Korean Waters (경험적인 방법에 의한 한반도 주변 해역에서 성분별 흡광계수 산출 알고리즘 개발에 관한 연구)

  • Moon, Jeong-Eon;Ahn, Yu-Hwan;Ryu, Joo-Hyung;Choi, Joong-Ki
    • Proceedings of the KSRS Conference
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    • 2009.03a
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    • pp.280-285
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    • 2009
  • 1998년 8월부터 2005년 6월까지 한반도 주변 해역에서 현장관측한 해수의 고유 광특성(IOPs)과 외형적 광특성(AOPs) 자료들을 이용하여 원격반사도$(R_{rs}(\lambda))$와 성분별 흡광계수의 총 합 $(\alpha(\lambda)=\alpha_w(\lambda)+\alpha_{ph}(\lambda)+\alpha_{ss}(\lambda)+\alpha_{dom}(\lambda))$의 상관관계를 분석하고, $R_{rs}(\lambda)$ 밴드비를 이용하여 흡광계수 산출 알고리즘을 개발하였다. 파장에 따른 $R_{rs}(\lambda)$와 총합 $\alpha(\lambda)$의 상관관계는 반비례적인 관계를 보였고, 파장 443 nm일 때 상관도$(R^2)$는 0.717이다. $\alpha_{ph}(\lambda)$ 산출알고리즘은 엽록소의 흡광과 관련된 파장 490 nm와 부유물의 산란과 관련된 파장 555 nm의 $R_{rs}(\lambda)$ 밴드비의 함수 형태로 구성하였고, 파장 443 nm일 때 RMS 값은 0.223이다. $\alpha_{ss}(\lambda)$$\alpha_{dom}(\lambda)$ 산출 알고리즘은 용존유기물의 흡광과 관련된 파장 412 nm와 부유물의 산란과 관련된 파장 555 nm의 $R_{rs}(\lambda)$ 밴드비의 함수 형태로 구성하였고, 파장 412 nm일 때 RMS 값은 각각 0.324와 0.230이다. $\alpha_{ph}(\lambda),\;\alpha_{ss}(\lambda),\;\alpha_{dom}(\lambda)$ 산출 알고리즘들은 대체적으로 현장값보다 높게 추정하였고 스펙트럼들은 잘 재현해냈다. 추후 이에 대한 개선과 알고리즘의 검보정이 요구된다.

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LARGE EDDY SIMULATION OF FULLY TURBULENT WAVY CHANNEL FLOW USING RESIDUAL-BASED VARIATIONAL MULTI-SCALE METHOD (변분다중스케일법을 이용한 파형벽면이 있는 채널 난류 유동의 대와류모사)

  • Chang, Kyoung-Sik;Yoon, Bum-Sang;Lee, Joo-Sung
    • Journal of computational fluids engineering
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    • v.16 no.2
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    • pp.49-55
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    • 2011
  • Turbulent flows with wavy wall are simulated using Residual-based Variational Multiscale Method (RB-VMS) which is proposed by Bazilves et al(2007) as new Large Eddy Simulation methodology. Incompressible Navier-Stokes equations are integrated using Isogeometric analysis which adopt the basis function as NURBS. The Reynolds number is 6760 based on the bulk velocity and averaged channel height. And the amplitude (${\alpha}/{\lambda}$) of wavy wall is 0.05. The computational domain is $2{\lambda}{\times}1.05{\lambda}{\times}{\lambda}$ in the streamwise, wall normal and spanwise direction. Mean quantities and turbulent statistics near wavy wall are compared with DNS results of Cherukat et al.(1998). The predicted results show good agreement with reference data.

Susceptibilities of american cockroach, Periplaneta americana to insecticides according to application methods (이질바퀴에 대한 처리방법에 따른 살충제 감수성)

  • Han, Jong-Been;Bae, Jeong-Sook;Kim, Gil-Hah
    • The Korean Journal of Pesticide Science
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    • v.8 no.3
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    • pp.210-219
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    • 2004
  • Susceptibility of Periplaneta americana male adults to 61 commercial insecticides was evaluated by diet dipping method. Among them eight insecticides of dichlorvos, benfuracarb, cypermethrin, deltamethrin, fenpropathrin, $\zeta$-cypermethrin, $\lambda$-cyhalothrin and fipronil showed 100% mortality. The insect was more susceptible to dichlorvos and fenpropathrin in filter paper contact method than in diet dipping one, but benfuracarb was vice versa. Toxicities of the seven chemicals were evaluated by application parts of the such as head, thorax, abdomen, and legs. Dichlorvos, benfuracarb and $\lambda$-cyhalothrin were more toxic when applied to head, and deltamethrin, fenpropathrin and cypermethrin were abdomen. $LT_{50}$ values by diet dipping method showed that dichlorvos, benfuracarb and $\lambda$-cyhalothrin acted more rapidly than boric acid and hydramethylnon. The values of the former three were 0.10, 0.29 and 0.12 days, and those of the latter two were 6.2 and 4.8 days, respectively.