• 제목/요약/키워드: exponential weights

검색결과 29건 처리시간 0.025초

SPECIFIC EXAMPLES OF EXPONENTIAL WEIGHTS

  • Jung, Hee-Sun;Sakai, Ryozi
    • 대한수학회논문집
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    • 제24권2호
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    • pp.303-319
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    • 2009
  • Let $Q\;{\in}\;C^2$ : ${\mathbb{R}}\;{\rightarrow}\;[0,{\infty})$ be an even function. Then we will consider the exponential weights w(x) = exp(-Q(x)) in the weight class from [2]. In the paper, we will give some relations among exponential weights in this class and introduce a new weight subclass. In addition, we will investigate some properties of the typical and specific weights in these weight classes.

ESTIMATES OF CHRISTOFFEL RUNCTIONS FOR GENERALIZED POLYNOMIALS WITH EXPONENTIAL WEIGHTS

  • Joung, Hae-Won
    • 대한수학회논문집
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    • 제14권1호
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    • pp.121-134
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    • 1999
  • Generalized nonnegative polynomials are defined as the products of nonnegative polynomials raised to positive real powers. The generalized degree can be defined in a natural way. We extend some results on Infinite-Finite range inequalities, Christoffel functions, and Nikolski type inequalities corresponding to weights W\ulcorner(x)=exp(-|x|\ulcorner), $\alpha$>0, to those for generalized nonnegative polynomials.

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A Study for Improving the Positioning Accuracy of DGPS Based on Multi-Reference Stations by Applying Exponential Modeling on Pseudorange Corrections

  • Kim, Koon-Tack;Park, Kwan-Dong;Lee, Eunsung;Heo, Moon Beom
    • Journal of Positioning, Navigation, and Timing
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    • 제2권1호
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    • pp.9-17
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    • 2013
  • In this paper, a pseudorange correction regeneration algorithm was developed to improve the positioning accuracy of DGPS using multi-reference stations, and the optimal minimum number of reference sites was determined by trying out different numbers of reference. This research was conducted using from two to five sites, and positioning errors of less than 1 m were obtained when pseudorange corrections are collected from at least four reference stations and interpolated as the pseudorange correction at the rover. After determining the optimal minimum number of reference stations, the pseudorange correction regeneration algorithm developed was tested by comparison with the performance of other algorithms. Our approach was developed based on an exponential model. If pseudorange corrections are regenerated using an exponential model, the effect of a small difference in the baseline distance can be enlarged. Therefore, weights can be applied sensitively even when the baseline distance differs by a small amount. Also weights on the baseline distance were applied differently by assigning weights depending on the difference of the longest and shortest baselines. Through this method, the positioning accuracy improved by 19% compared to the result of previous studies.

Mechanical degradation kinetics of poly(ethylene oxide) in a turbulent flow

  • Sung, Jun-Hee;Lim, Sung-Taek;Kim, Chul-Am;Heejeong Chung;Park, Hyoung-Jin
    • Korea-Australia Rheology Journal
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    • 제16권2호
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    • pp.57-62
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    • 2004
  • Turbulent drag reduction (DR) efficiency of water soluble poly(ethylene oxide) (PEO) with two different molecular weights was studied as a function of polymer concentration and temperature in a turbulent flow produced via a rotating disk system. Its mechanical degradation behavior as a function of time in a turbulent flow was also analyzed using both a simple exponential decay function and a fractional exponential decay equation. The fractional exponential decay equation was found to fit the experimental data better than the simple exponential decay function. Its thermal degradation further exhibited that the susceptibility of PEO to degradation increases dramatically with increasing temperature.

On the comparison of cumulative hazard functions

  • Park, Sangun;Ha, Seung Ah
    • Communications for Statistical Applications and Methods
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    • 제26권6호
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    • pp.623-633
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    • 2019
  • This paper proposes two distance measures between two cumulative hazard functions that can be obtained by comparing their difference and ratio, respectively. Then we estimate the measures and present goodness of t test statistics. Since the proposed test statistics are expressed in terms of the cumulative hazard functions, we can easily give more weights on earlier (or later) departures in cumulative hazards if we like to place an emphasis on earlier (or later) departures. We also show that these test statistics present comparable performances with other well-known test statistics based on the empirical distribution function for an exponential null distribution. The proposed test statistic is an omnibus test which is applicable to other lots of distributions than an exponential distribution.

시간 의존적인 상품 추천을 위한 지수 평활 시간 연관 규칙 (Exponential Smoothing Temporal Association Rules for Recommendation of Temperal Products)

  • 정경자
    • 한국컴퓨터정보학회논문지
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    • 제10권1호
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    • pp.45-52
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    • 2005
  • 본 연구에서는 시간 연관 규칙에 지수 평활법을 적용한 상품 추천 알고리즘을 제안한다. 시간 연관 규칙은 기존의 연관 규칙에 시간 개념을 적용한 연관 규칙이다. 본 연구에서는 과거 데이터 보다 최신의 데이터에 가중치를 더 부여한 지수 평활 시간 연관 규칙을 제안한다. 제안한 알고리즘은 시간 의존적인 데이터에 적용하여 시뮬레이션을 한 결과 지수 평활법을 적용한 시간 연관 규칙이 기존의 시간 연관 규칙보다 실행시간 면에서 다소 오래 걸리지만 상품 추천 측면에서 더 효과적이다.

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지수 평활법을 적용한 시간 연관 규칙 (Temporal Association Rules with Exponential Smoothing Method)

  • 변루나;박병선;한정혜;정한일;임춘성
    • 정보처리학회논문지D
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    • 제11D권3호
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    • pp.741-746
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    • 2004
  • 전자상거래가 활성화됨에 따라 고객 개인의 관심에 부합하는 개인화된 정보나 상품 서비스를 제공하기 위하여 시간에 따라 분할하여 연산하는 시간 연관 규칙이 최근에 등장하고 있다. 본 논문은 일반적으로 정의된 연관 규칙에 대해 시간의 변화를 고려하기 위하여 최신 데이터에 가중치를 높여 주는 지수 평활법을 적용한 연관 규칙을 정의하고 이로 탐사하는 알고리즘을 제안한다. 시뮬레이션과 적용사례를 통하여 시간에 따라 분할하여 지수 평활법을 적용한 시간 연관 규칙이 기존의 것보다 실행시간은 다소 많지만 시간을 고려한 정확한 탐색률을 갖으므로 전자 상점 현장 응용에 효과적임을 확인하였다.

Magnetization of Magnetite Ferrofluid Studied by Using a Magnetic Balance

  • Jin, Daeseong;Kim, Hackjin
    • Bulletin of the Korean Chemical Society
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    • 제34권6호
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    • pp.1715-1721
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    • 2013
  • Magnetic properties of magnetite ferrofluid are studied by measuring magnetic weights under different magnetic fields with a conventional electronic balance. Magnetite nanoparticles of 11 nm diameter are synthesized to make the ferrofluid. Magnetization calculated from the magnetic weight reveals the hysteresis and deviates from the Langevin function at high magnetic fields. Magnetic weight shifts instantaneously with magnetic field change by Neel and Brown mechanism. When high magnetic field is applied to the sample, slower change of magnetic weight is accompanied with the instantaneous shift via agglomeration of nanoparticles. The slow change of the magnetic weight shows the stretched exponential kinetics. The temporal change of the magnetic weight and the magnetization of the ferrofluid at high magnetic fields suggest that the superparamagnetic sample turns into superspin glass by strong magnetic interparticle interactions.

복합재 적층 보의 퍼지 다목적 최적설계 (Fuzzy multi-objective optimization of the laminated composite beam)

  • 이강희;구만회;이종호;홍영기;우호길
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2000년도 춘계학술발표대회 논문집
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    • pp.143-148
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    • 2000
  • In this article, we presents multi-objective design optimization of laminated composite beam using Fuzzy programming method. At first, the two design objectives are minimizing the structural weight and maximizing the buckling load respectively. Fuzzy multi-optimization problem can be formulated based on results of single optimizations. Due to different relative importance of design objectives, membership functions are constructed by adding exponential parameters for different objective's weights. Finite element analysis of composite beam for buckling behavior are carried by Natural mode method proposed by J.Argyris and computational time of analysis can be reduced. With this scheme, a designer can conveniently obtain a compromise optimal solution of a multi-objective optimization problem only by providing some exponential parameters corresponding to the importance of the objective functions.

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0/1 Knapsack에 대한 서브-지수 함수 알고리즘 (Sub-Exponential Algorithm for 0/1 Knapsack)

  • 이충세
    • 융합보안논문지
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    • 제14권7호
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    • pp.59-64
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    • 2014
  • 이 논문에서는 고정된 개수를 가진 bin들을 이용하여 실행 복잡도가 $p(n){\cdot}2^{O(\sqrt{n})}$인 알고리즘을 제시한다, 여기서 x는 (5)n개의 객체들에 대한 리스트의 길이에 대한 총 비트 수를 나타낸다. 이러한 방법은 수치적 크기나 비중의 합의 리스트를 이용하는 여러 가지 최적화 알고리즘이나 결정 문제등에 적용할 수 있다. 이 논문에서 제시한 알고리즘은 의사-다항식(pseudo-polynomial) 시간을 갖는 NP-Complete의 많은 문제들을 결정적인 서브-지수 시간에 해결할 수 있은 가능성을 제시한다. 여기서 제시한 알고리즘을 이용하여 생명공학의 유전자 분석에 적용하려고 한다.