• 대한의용생체공학회:의공학회지
• /
• 제11권1호
• /
• pp.25-30
• /
• 1990

본 연구에서 LQG/LTR 방법의 우측면 영점에서의 문제점을 위해 새로운 근사방법이 제시되었다. 이론적 분석과 시뮬레이숀 결과는 Stein 방법보다 개선되어질 수 있음을 보였다.

• 대한수학회지
• /
• 제46권3호
• /
• pp.609-620
• /
• 2009

We establish some estimates on the hyper bilinear Hilbert transform on both Euclidean space and torus. We also use a transference method to obtain a Kenig-Stein's estimate on bilinear fractional integrals on the n-torus.

• Communications for Statistical Applications and Methods
• /
• 제20권1호
• /
• pp.15-22
• /
• 2013

We find a sufficient condition for optimal Berry-Esseen bounds in the normal approximation of functionals of Gaussian fields studied by Nourdin and Peccati (2009b).

• Korean Journal of Mathematics
• /
• 제23권1호
• /
• pp.1-10
• /
• 2015

This paper concerns the rate of convergence in the multidimensional normal approximation of functional of Gaussian fields. The aim of the present work is to derive explicit upper bounds of the Kolmogorov distance for the rate of convergence instead of Wasserstein distance studied by Nourdin et al. [Ann. Inst. H. Poincar$\acute{e}$(B) Probab.Statist. 46(1) (2010) 45-98].

• 정보과학회 논문지
• /
• 제43권8호
• /
• pp.835-840
• /
• 2016

몬테카를로 렌더링은 사진과 흡사한 이미지를 렌더링하는 데 널리 쓰이는 기술이다. 그러나 이 기술로 고품질의 이미지를 얻으려면 픽셀 당 샘플의 수를 증가시켜야 하며, 필연적으로 긴 렌더링 시간을 필요로 한다. 이 문제를 풀기 위하여, 이미지 필터링 기술을 적용할 수 있다. 이는 적은 샘플 수로, 노이즈가 존재하는 렌더링 결과를 빠른 시간 내에 구한 뒤, 필터링을 적용하여 추가적인 샘플 없이 정답 이미지에 근사하는 부드러운 이미지를 얻는 방법이다. 본 논문에서는 에이트러스 웨이블릿필터에 스테인의 공평 에러 추정법(SURE)을 적용하여, 실시간에 가까운 속도로 렌더링한 이미지의 노이즈를 제거하는 방법을 제안한다. 슈어(SURE)를 이용하여 에이트러스 웨이블릿 필터의 필터링으로 인한 에러를 추정할 수 있고, 이를 통하여 에러를 줄이는 방향으로 웨이블릿의 계수를 정할 수 있다. 본 연구진은 이 필터링 방법을 최신 실시간 광선추적법 시스템인 엠브리(embree)에 적용하여 성능을 확인하였다.

• Communications for Statistical Applications and Methods
• /
• 제24권5호
• /
• pp.481-492
• /
• 2017

This paper investigates a convergence rate of a test statistics given by two scale sampling method based on $A\ddot{i}t$-Sahalia and Jacod (Annals of Statistics, 37, 184-222, 2009). This statistics tests for longitudinal data having the existence of long memory dependence driven by fractional Brownian motion with Hurst parameter $H{\in}(1/2,\;1)$. We obtain an upper bound in the Kolmogorov distance for normal approximation of this test statistic. As a main tool for our works, the recent results in Nourdin and Peccati (Probability Theory and Related Fields, 145, 75-118, 2009; Annals of Probability, 37, 2231-2261, 2009) will be used. These results are obtained by employing techniques based on the combination between Malliavin calculus and Stein's method for normal approximation.

• Applied Biological Chemistry
• /
• 제2권
• /
• pp.41-44
• /
• 1961

The amino acid analysis of ground rice and the crude protein isolated from rice were performed by the most recent method of Moore, Spackman and Stein, using Amberlite IR-120. The effect of carbohydrates on the hydrolysis of rice was found to be definite in losing several amino acids nevertheless Dustin's claim that large excess of hydrolyzing acid reduces the losses of amino acid. Consequantly the removal carbohydrates as much as possible is considered to facilitate the amino acid determination. The amino acid composition of the crude rotein of rice was very similar to that previously found by other investigators.

• 대한수학회보
• /
• 제56권5호
• /
• pp.1199-1210
• /
• 2019

In this paper, we consider a class of inhomogeneous random intersection graphs by assigning random weight to each vertex and two vertices are adjacent if they choose some common elements. In the inhomogeneous random intersection graph model, vertices with larger weights are more likely to acquire many elements. We show the Poisson convergence of the number of induced copies of a fixed subgraph as the number of vertices n and the number of elements m, scaling as $m={\lfloor}{\beta}n^{\alpha}{\rfloor}$ (${\alpha},{\beta}>0$), tend to infinity.