• Journal of the Korean Institute of Telematics and Electronics
• /
• v.25 no.3
• /
• pp.262-268
• /
• 1988

In this paper conditions are derived, which ensure the existence of a quasi-sliding mode on the control switching hyperplane in discrete variable structure control systems and also remove the reaching phase problem observed in continuous-time variable structure systems. In addition, a discrete variable structure tracking controller which has adaptive properties is devised based on these results. This controller has useful properties, such as small sensitivity to the variation of plant parameters and to disturbances and its performing speed is fast compared to that of other adaptive controller.

• Bulletin of the Korean Mathematical Society
• /
• v.57 no.3
• /
• pp.597-605
• /
• 2020

In this article, we discuss the global uniqueness problem for the Radon transform. It is not sufficient for the global uniqueness for the Radon transform to assume that the Radon transform Rf for a function f absolutely converges on any hyperplane. It is also known that it is sufficient to assume that f ∈ L¹ for the global uniqueness to hold. There exists a big gap between the above two conditions, to fill which is our purpose in this paper. We shall give a better sufficient condition for the global uniqueness of the Radon transform.

• Communications of the Korean Mathematical Society
• /
• v.17 no.3
• /
• pp.439-449
• /
• 2002

If an arrangement admits a nice partition, or an arrangement is free, then the characteristic polynomial of the arrangement can be factored. It is known that a free arrangement does not always admit a nice partition. We show that even an inductively free arrangement does not always admit a nice partition.

• Bulletin of the Korean Mathematical Society
• /
• v.55 no.5
• /
• pp.1317-1332
• /
• 2018

In this paper, we introduce the D-ratio of a rational map $f:{\mathbb{P}}^n{\dashrightarrow}{\mathbb{P}}^n$, defined over ${\bar{\mathbb{Q}}}$, whose indeterminacy locus is contained in a hyperplane H on ${\mathbb{P}}^n$. The D-ratio r(f; ${\bar{V}}$) characterizes endomorphisms and provides a useful height inequality on ${\mathbb{P}}^n({\bar{\mathbb{Q}}}){\backslash}H$. We also provide a dynamical application: preperiodic points of dynamical systems of small D-ratio are of bounded height.

• Proceedings of the Korean Information Science Society Conference
• /
• 2012.06b
• /
• pp.468-470
• /
• 2012

본 논문에서는 기존 VectorBoost기반 분류기의 문제점이었던 다중 분할 노드에서의 오판단 발생을 해결하기 위해, LDA를 이용해 학습 샘플들을 가장 잘 분리할 수 있는 최적의 초평면을 구하고, 이 초평면을 이용해 Positive샘플에서 VectorBoost의 판단율을 향상시키는 방법을 제안한다. 이러한 방법을 적용했을 때 Positive샘플들의 오판단율이 감소하는 효과를 보였으며, 불필요한 연산의 감소로 약 30%의 속도향상을 얻을 수 있었다.

• East Asian mathematical journal
• /
• v.17 no.2
• /
• pp.325-337
• /
• 2001

We consider the special hypersurface of the first approximate Matsumoto metric with $b_i(x)={\partial}_ib$ being the gradient of a scalar function b(x). In this paper, we consider the hypersurface of the first approximate Matsumoto space with the same equation b(x)=constant. We are devoted to finding the condition for this hypersurface to be a hyperplane of the first or second kind. We show that this hypersurface is not a hyper-plane of third kind.

• Communications for Statistical Applications and Methods
• /
• v.20 no.3
• /
• pp.225-233
• /
• 2013

The linear support vector machine(SVM) is motivated by the maximal margin separating hyperplane and is a popular tool for binary classification tasks. Many studies exist on the consistency properties of SVM; however, it is unknown whether the linear SVM is consistent for estimating the optimal classification boundary even in the simple case of two Gaussian classes with a common covariance, where the optimal classification boundary is linear. In this paper we show that the linear SVM can be inconsistent in the univariate Gaussian classification problem with a common variance, even when the best tuning parameter is used.

• Journal of the Korean Institute of Telematics and Electronics
• /
• v.25 no.12
• /
• pp.1586-1593
• /
• 1988

A new control scheme for the variable-structure control system using new time-varying switching variable is presented in this paper. It is proposed to have new algorithm for reducing the reaching time on a switching hyperplane by modifying the Morgan's algorithm. From the results of the simulation, it is concluded the proposed control algorithm yields smaller control inputs (without disturbance) and ripples (with disturbance) than that obtained by Morgan's algorithm in the steady-state. This control algorithm can be applied to proper control systems having sensitive effects on disturbances, due to the robustness.

• Proceedings of the Korea Multimedia Society Conference
• /
• 2004.05a
• /
• pp.608-611
• /
• 2004

사용자 웹 방문 패턴 발견으로써의 사용자 클러스터링은 웹 사이트를 이용하는 사용자들의 취향과 행동방식을 얻어내는데 매우 유용하다. 또한 이러한 정보는 웹 개인화나 웹 사이트를 재구성 하는 데 필수적 이 다. 본 논문에서 사용자 웹 방문 패스를 클러스터링 하기 위한 시간적으로 효율적이며, 패스 특성을 보다 정확하게 표현하여 클러스터링 할 수 있는 알고리즘이 제안되며, 제안된 알고리즘은 패스 간의 유사도 측정을 통한 클러스터링, 하이퍼플랜을 이용한 K-평균 클러스터링의 2단계 과정으로 이루어져 있다.

• Kyungpook Mathematical Journal
• /
• v.58 no.4
• /
• pp.781-788
• /
• 2018

In the present paper, we have studied the Finslerian hypersurfaces and generalized ${\beta}$-conformal change of Finsler metric. The relations between the Finslerian hypersurface and the other which is Finslerian hypersurface given by generalized ${\beta}$-conformal change have been obtained. We have also proved that generalized ${\beta}$-conformal change makes three types of hypersurfaces invariant under certain conditions.