• Journal of applied mathematics & informatics
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• 제17권1_2_3호
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• pp.351-360
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• 2005

This paper finds a new class of generalized convex function which satisfies the following properties: It's level set is $\eta$-convex set; Every feasible Kuhn-Tucker point is a global minimum; If Slater's constraint qualification holds, then every minimum point is Kuhn-Tucker point; Weak duality and strong duality hold between primal problem and it's Mond-Weir dual problem.

• 대한수학회보
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• 제55권4호
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• pp.1161-1178
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• 2018

In this paper, we consider the Cauchy problem for a class of nonlinear sixth-order wave equation. The global existence and the finite time blow-up for the problem are proved by the potential well method at both low and critical initial energy levels. Furthermore, we present some sufficient conditions on initial data such that the weak solution exists globally at supercritical initial energy level by introducing a new stable set.

• 대한수학회논문집
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• 제29권1호
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• pp.37-50
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• 2014

Using variational methods, we prove some results on the nonexistence and multiplicity of weak solutions for a class of semilinear elliptic systems of two equations involving Grushin type operators with sign-changing nonlinearities. We also shows that the similar results can be obtained for systems of m equations, where m is arbitrary.

• 한국정보과학회:학술대회논문집
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• 한국정보과학회 2001년도 가을 학술발표논문집 Vol.28 No.2 (1)
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• pp.481-483
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• 2001

클래스의 응집도를 측정하기 위한 여러 연구들이 제안되었지만, 이런 연구들은 데이터 상호작용에 의해 응집도를 측정하므로 메소들간에 데이터 상호작용이 없지만 객체의 또 다른 속성들을인 데이터들이 함께속하는 경우를 고려하지 못하고 있다. 따라서 본 연구에서는 데이터 상호작용이 없는 경우를 고려하고, 또한 클래스 내의 멤버들과 멤버들간의 연결을 모두 고려하여 응집도를 측정할 수 있는 새로운 응집도 척도를인 강 클래스 응집도(Strong Class Cohesion: SCC)와 약 클래스 응집도(Weak Class Cohesion: WCC)를 제안하였다. 또한 기존 척도들과의 비교평가를 통해서 WCC와 SCC가 향상된 측정을 제시함을 보여 주었다.

• 한국언어정보학회지:언어와정보
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• 제12권2호
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• pp.77-93
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• 2008

This paper examines a condition that licenses distributivity. Choe (1987) and Link (1998) have proposed an indefiniteness condition on distributivity. However, detecting counter-examples, Zimmermann (2002) has argued for a non-specificity condition. This paper primarily revises the indefiniteness/non-specificity condition. Observing that the systematic class of the exceptions belongs to weak definites proposed by Poesio (1994), I claim that the property that constrains distributivity is non-strong-definiteness. Based on Landman (2000), I further explain the non-strong-definiteness condition and argue that the condition does not need to be imposed on the grammar independently. The new condition naturally accounts for Spector's (2003) scopal asymmetry. Even more, defining donkey pronouns as weak definites, I cope with various properties of donkey sentences.

• 대한수학회지
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• 제56권6호
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• pp.1529-1560
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• 2019

We are concerned with the following elliptic equations: $$(-{\Delta})^s_pu+V (x){\mid}u{\mid}^{p-2}u={\lambda}g(x,u){\text{ in }}{\mathbb{R}}^N$$, where $(-{\Delta})_p^s$ is the fractional p-Laplacian operator with 0 < s < 1 < p < $+{\infty}$, sp < N, the potential function $V:{\mathbb{R}}^N{\rightarrow}(0,{\infty})$ is a continuous potential function, and $g:{\mathbb{R}}^N{\times}{\mathbb{R}}{\rightarrow}{\mathbb{R}}$ satisfies a $Carath{\acute{e}}odory$ condition. We show the existence of at least one weak solution for the problem above without the Ambrosetti and Rabinowitz condition. Moreover, we give a positive interval of the parameter ${\lambda}$ for which the problem admits at least one nontrivial weak solution when the nonlinearity g has the subcritical growth condition.

• 대한수학회논문집
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• 제34권4호
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• pp.1365-1388
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• 2019

In this paper we consider a class of nonlinear nonlocal parabolic equations involving p-Laplacian operator where the nonlocal quantity is present in the diffusion coefficient which depends on $L^p$-norm of the gradient and the nonlinear term is of polynomial type. We first prove the existence and uniqueness of weak solutions by combining the compactness method and the monotonicity method. Then we study the existence of global attractors in various spaces for the continuous semigroup generated by the problem. Finally, we investigate the existence and exponential stability of weak stationary solutions to the problem.

• 전자공학회논문지CI
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• 제48권1호
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• pp.44-50
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• 2011

본 논문은 다중 클래스 데이터의 효율적 분류를 위한 새로운 아다부스트 알고리즘을 제안한다. 기존의 아다부스트 알고리즘은 기본적으로 이진 분류기이므로 다중 클래스 데이터 분류의 적용에는 매우 제한적이었다. 이를 극복하기 위하여 제안된 알고리즘은 여러 개의 이진 분류기 대신 하나의 다중 분류기를 약 분류기로 사용함으로써 학습시간을 단축시키고 안정적인 정확도를 얻을 수 있는 장점이 있다. 제안하는 알고리즘의 성능을 평가하기 위하여 Caltech 영상 데이터베이스에서 4가지클래스의 영상 데이터를 총 800개 수집하여 영상 분류 실험을 진행하였다. 실험의 결과 제안된 다중 클래스 아다부스트 알고리즘은 Adaboost.M2 알고리즘에 비해 분류정확도는 대등한 결과를 얻었지만, 학습시간을 학습단계에 따라 83.1%까지 감소시킬 수 있었다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제6권1호
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• pp.67-80
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• 2002

We formulate a pair of nondifferentiable symmetric dual variational problems with a square root term. Under invexity assumptions, we establish weak, strong, converse and self duality theorems for our variational problems by using the generalized Schwarz inequality. Also, we give the static case of our nondifferentiable symmetric duality results.

• 충청수학회지
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• 제29권3호
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• pp.465-475
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• 2016

We establish necessary and sufficient optimality conditions for a class of generalized nondifferentiable fractional optimization programming problems. Moreover, we prove the weak and strong duality theorems under (V, ${\rho}$)-invexity assumption.