• 한국정보처리학회논문지
• /
• 제2권3호
• /
• pp.417-424
• /
• 1995

본 논문에서는 정량화(Quantification) 문제를 MFT(Mean Field Theroy)를 통해서 해결하는 기법을 제안한다. 통계학에서 중요한 문제의 하나인 정량화 문제는 주어진 공간에서 대상들간의 유사성에 따라서 최적의 상태를 갖도록 하는 문제이다. 평균장 접근 방법에 기초한 한개의 변수로 표현되는 확률적 시뮬레이티드 아닐링을 제안하고 정량화 문제를 패널티(penalty) 파라메타 항을 첨가한 비한정된 최적화 문제로 변형하 여 MFT를 적용하였다. 또한 연속변수를 갖는 신경회로망에서 실제 값을 계산하는 것 보다 평균장 접근방법으로 계산하는것이 더 빠르게 계산될 수 있음을 확인하였다. 본 논문에서 제안한 방법이 실험결과 해석적인 방법보다 좋은 정량적 결과를 보였다.

• 대한수학회지
• /
• 제38권6호
• /
• pp.1205-1234
• /
• 2001

We consider the time local well-posedness of the Benjamin equation. Like the result due to Keing-Ponce-Vega [10], [12], we show that the initial value problem is time locally well posed in the Sobolev space H$^{s}$ (R) for s>-3/4.

• 대한산업공학회지
• /
• 제10권2호
• /
• pp.29-36
• /
• 1984

This paper proposes a procedure for solving a multi-stage stockpile problem with budget constant. To establish the stockpile importance index, value assessment procedure is employed with two attributes; item's essentiality and Unsatisfactoriness rate of requirements, Then we propose the balancing of stockpile importance index among stockpile items as a reasonable objective for stockpile problem.

• Journal of applied mathematics & informatics
• /
• 제29권5_6호
• /
• pp.1541-1547
• /
• 2011

In this paper, using B.Ricceri's three critical points theorem, we prove the existence of at least three classical solutions for the problem $$\{u^{(4)}(t)={\lambda}f(t,\;u(t)),\;t{\in}(0,\;1),\\u(0)=u(1)=u^{\prime}(0)=u^{\prime}(1)=0,$$ under appropriate hypotheses.

• 대한수학회지
• /
• 제36권2호
• /
• pp.355-367
• /
• 1999

We prove the existence of 2N-1 distinct ordered positive solutions of a class of semilinear elliptic Dirichlet boundary value problems on Rn when the forcing term has N distinct positive stable zeros and the coefficient function decaying to the zero at infinity.

• 대한수학회지
• /
• 제33권4호
• /
• pp.857-863
• /
• 1996

In 1954 M. H. Protter [1] formulated the following boundary value problem as an analogue of the plane Darboux problem.

• 대한수학회지
• /
• 제54권2호
• /
• pp.359-380
• /
• 2017

This paper is concerned with a kind of boundary value problem for singular second order differential systems with Laplacian operators. Using a multiple fixed point theorem, sufficient conditions to guarantee the existence of at least three positive solutions of this kind of boundary value problem are established. An example is presented to illustrate the main results.

• 대한수학회보
• /
• 제49권6호
• /
• pp.1241-1250
• /
• 2012

We prove the maximum principle and the comparison principle of $p$-harmonic functions via $p$-harmonic boundary of graphs. By applying the comparison principle, we also prove the solvability of the boundary value problem of $p$-harmonic functions via $p$-harmonic boundary of graphs.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제21권1호
• /
• pp.29-37
• /
• 2017

A general optimal recovery problem is to approximate a value of a linear operator on a subset (class) in linear space from a value of another linear operator (called information), measured with an error in given metric. We use this formulation to investigate the classical computerized tomography problem of inversion of the noisy Radon transform.

• Journal of applied mathematics & informatics
• /
• 제29권3_4호
• /
• pp.713-719
• /
• 2011

The problem of approximation from a set of scattered data arises in a wide range of applied mathematics and scientific applications. In this study, we present a quasi-interpolatory approximation scheme for scattered data approximation problem, which reproduces a certain space of polynomials. The proposed scheme is local in the sense that for an evaluation point, the contribution of a data value to the approximating value is decreasing rapidly as the distance between two data points is increasing.