• Title/Summary/Keyword: 지수함수

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Derivation and Application of Survival Functions for Unthinned Forest Plantation (미간벌(未間伐) 인공림(人工林)에서 잔존림목(殘存林木) 추정(推定) 함수(函數)의 유도(誘導)와 적용(適用))

  • Li, Fengri;Chung, Joosang;Kwon, Soonduk
    • Journal of Korean Society of Forest Science
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    • v.88 no.3
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    • pp.320-326
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    • 1999
  • In this study, 15 survival functions in integral and difference forms for forest plantation were derived based on assumptions for the number of surviving trees and the differential forms of the mortality rate model. Then, performance of the models was evaluated by fitting to remeasurement data of unthinned white pine(Pinus strobes) forest plantation. As a result, three equations associated with a power function of age, $t^{\beta}$, are somewhat more suitable for describing the effect of self-thinning over time. On the other hand, a general survival function for Japanese larch(Larix leptolepts) forest plantation was derived in order to exam the effect of site quality on self-thinning procedures. The results indicate that the $N_{min}$ is negatively correlated with site index and, even though the same initial stand density was assumed, the survival function curves differ in shapes associated with site index values.

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Automatic Threshold Selection and Contrast Intensification Technique for Image Enhancement (영상 향상을 위한 자동 임계점 선택 및 대비 강화 기법)

  • Lee, Geum-Boon;Cho, Beom-Joon
    • Journal of Korea Multimedia Society
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    • v.11 no.4
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    • pp.462-470
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    • 2008
  • This study applies fuzzy functions to improve image quality under the assumption that uncertainty of image information due to low contrast is based on vagueness and ambiguity of the brightness pixel values. To solve the problem of low contrast images whose brightness distribution is inclined, we use the k-means algorithm as a parameter of the fuzzy function, through which automatic critical points can be found to differentiate objects from background and contrast between bright and dark points can be improved. The fuzzy function is presented at the three main stages presented to improve image quality: fuzzification, contrast enhancement and defuzzification. To measure improved image quality, we present the fuzzy index and entropy index and in comparison with those of histogram equalization technique, it shows outstanding performance.

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3-stage Portfolio Selection Ensemble Learning based on Evolutionary Algorithm for Sparse Enhanced Index Tracking (부분복제 지수 상향 추종을 위한 진화 알고리즘 기반 3단계 포트폴리오 선택 앙상블 학습)

  • Yoon, Dong Jin;Lee, Ju Hong;Choi, Bum Ghi;Song, Jae Won
    • Smart Media Journal
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    • v.10 no.3
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    • pp.39-47
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    • 2021
  • Enhanced index tracking is a problem of optimizing the objective function to generate returns above the index based on the index tracking that follows the market return. In order to avoid problems such as large transaction costs and illiquidity, we used a method of constructing a portfolio by selecting only some of the stocks included in the index. Commonly used enhanced index tracking methods tried to find the optimal portfolio with only one objective function in all tested periods, but it is almost impossible to find the ultimate strategy that always works well in the volatile financial market. In addition, it is important to improve generalization performance beyond optimizing the objective function for training data due to the nature of the financial market, where statistical characteristics change significantly over time, but existing methods have a limitation in that there is no direct discussion for this. In order to solve these problems, this paper proposes ensemble learning that composes a portfolio by combining several objective functions and a 3-stage portfolio selection algorithm that can select a portfolio by applying criteria other than the objective function to the training data. The proposed method in an experiment using the S&P500 index shows Sharpe ratio that is 27% higher than the index and the existing methods, showing that the 3-stage portfolio selection algorithm and ensemble learning are effective in selecting an enhanced index portfolio.

Comparison study on the various forms of scale parameter for the nonstationary Gumbel model (비정상성 Gumbel 모형의 다양한 규모 매개변수 형태에 관한 비교 연구)

  • Jang, Hanjin;Kim, Hanbeen;Jung, Jin-Seok;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.147-147
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    • 2015
  • 전 세계적으로 이상기후로 인한 극한가뭄 및 이상홍수 등의 피해 발생이 확인되고 있으며 그 발생빈도 또한 급격히 증가하고 있다. 그러나 기존의 빈도해석은 시간의 변화에 따라 자료의 통계적 특성이 변하지 않는다는 정상성(stationarity)을 기본 가정으로 수행되기 때문에 극한 사상에 경향성이 있는 경우에 적용하기엔 한계가 있다. 비정상성 빈도해석을 위해 개발된 비정상성 확률 분포 모형들은 대부분 매개변수에 시간항을 포함하는 형태로 정의된다. 이중에서도 우리나라에 널리 사용되고 있는 Gumbel 모형에 대해 살펴보면, 비정상성 Gumbel 모형의 위치 및 규모 매개변수는 시간에 대해 선형(linear) 및 지수(exponential) 함수의 관계를 보이는 형태로 가정한다. 규모 매개변수의 지수함수의 형태는 음(-)의 값이 추정되는 것을 방지하기 위해 제안되어 널리 사용되고 있으나 이로 인해 확률수문량이 과다산정되는 문제가 발생하기도 한다. 본 연구에서는 이러한 문제를 해결하기 위해 비정상성 Gumbel 모형을 대상으로 규모 매개변수의 다양한 형태를 비교하고자 한다. 이를 위해 비정상성 Gumbel 모형 규모 매개변수를 지수함수, 선형, 로그, 로지스틱 형태로 가정하여 비교하였다. 각 모형의 매개변수의 추정은 최우도법을 적용하였으며, 규모 매개변수의 형태별 정확도 비교를 위해 모의실험을 수행하였다.

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A study about Graph Representation of Function of College freshmen (대학 신입생들의 함수의 그래프 표현에 관한 연구)

  • Seo, Jong-Jin;Choi, Eun-Mi
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.283-302
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    • 2007
  • It is said that the university mathematics education in Korea faces critical situations due to the decreases of both qualities and quantities of students. In this paper we examine college students in order to know their basic ability for understanding about fundamental functions, such as polynomial, trigonometric, logarithm and exponential functions which have learned from highschool mathematics courses. The subject are 354 freshmen of 4 universities located in Daejeon and Chongchung area. The result of this study shows as follows. i ) More than half students are not able to draw graphs of given functions, except polynomial. ii ) More students do not fully understand about function properties such as domain, codomain, range, max and min value, cycle and parallel translation.

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A Study of cloud-free MODIS NDVI time series reconstruction using HANTS algorithm (HANTS 알고리즘을 이용한 MODIS NDVI 시계열 영상의 구름화소 문제 해결에 관한 연구)

  • Huh, Yong;Byun, Young-Gi;Kim, Yong-Il;Yu, Ki-Yun
    • 한국공간정보시스템학회:학술대회논문집
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    • 2007.06a
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    • pp.169-174
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    • 2007
  • 식생지수 시계열 자료를 이용한 식생 및 토지피복 모니터링을 수행하기 위해서는 구름으로 인한 누락 및 왜곡된 식생지수 문제를 먼저 해결해야만 한다. 특히 한반도와 같이 여름철 집중 호우기에 대부분의 영상에 구름이 존재하는 경우 이들 구름화소를 제거하거나 복원하지 않을 경우, 분석 결과에 상당한 왜곡이 발생하거나 특정 시기의 영상자료를 분석에 반영할 수 없는 경우가 발생하게 된다. HANTS 알고리즘은 이 같은 구름 화소 문제를 해결하기 위한 알고리즘으로 연중 식생지수의 변화는 비교적 단순한 반복적 주기함수의 형태를 가지므로 소수의 cos 함수를 이용한 푸리에 근사식으로 전체 연중 식생지수를 표현할 수 있다는 가정에서 출발한다. 이 때 구름화소로 인한 원식생지수와의 차이가 특정 임계값을 초과하였을 경우 해당 관측치를 근사과정에서 제외함으로써 구름의 영향을 받지 않은 식생지수 시계열 자료만을 이용하게 된다. 이 과정을 수행하기 위해서는 몇몇 제어변수의 설정이 필요한데, 본 연구에서는 한반도와 같이 특정 시기에 장기간 구름이 분포하는 상황에서 최적의 식생지수 복원을 위한 HANTS 알고리즘의 제어변수를 선정하고 재구축된 식생지수를 평가하였다. 이를 위한 실험으로 2002년 대전 지역의 MODIS Terra 식생지수 시계열 영상을 대상으로 HANTS 알고리즘을 주요 식생피복별로 적용해 보았다.

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Growth Model of Sowthistle (Ixeris dentata Nakai) Using Expolinear Function in a Closed-type Plant Production System (완전제어형 식물 생산 시스템에서 선형 지수 함수를 이용한 씀바귀의 생육 모델)

  • Cha, Mi-Kyung;Son, Jung-Eek;Cho, Young-Yeol
    • Horticultural Science & Technology
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    • v.32 no.2
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    • pp.165-170
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    • 2014
  • The objective of this study was to make growth and yield models of sowthistle (Ixeris dentata Nakai) by using an expolinear functional equation in a closed-type plant production system. The growth and yield of hydroponically-grown sowthistle were investigated under four different planting distances ($15{\times}10$, $15{\times}15$, $15{\times}20$, and $15{\times}25$ cm). Shoot dry weights per plant was the highest at $15{\times}25$ cm, but was the lowest at $15{\times}10$ cm. Shoot dry weights per area was the highest at $15{\times}15$ cm, but was the lowest at $15{\times}25$ cm. The optimum planting density and planting distance for yield of sowthistle were 44 plants/$m^2$ and $15{\times}15$ cm, respectively. Shoot dry weights per plant and per area were showed as an expolinear type functional equation. A linear relationship between shoot dry and fresh weights was observed to be linear regardless of the planting distance. Crop growth rate, relative growth rate and lost time in an expolinear functional equation showed quadratic function form. Radiation use efficiency of sowthistle was $4.3-6.1g{\cdot}MJ^{-1}$. The measured and estimated shoot dry weights showed a good agreement using days after transplanting as input data. It is concluded that the expolinear growth model can be a useful tool for quantifying the growth and yield of sowthistle in a closed-type plant production system.

Skill Assessments for Evaluating the Performance of the Hydrodynamic Model (해수유동모델 검증을 위한 오차평가방법 비교 연구)

  • Kim, Tae-Yun;Yoon, Han-Sam
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.14 no.2
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    • pp.107-113
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    • 2011
  • To evaluate the performance of the hydrodynamic model, we introduced 10 skill assessments that are assorted by two groups: quantitative skill assessments (Absolute Average Error or AAE, Root Mean Squared Error or RMSE, Relative Absolute Average Error or RAAE, Percentage Model Error or PME) and qualitative skill assessments (Correlation Coefficient or CC, Reliability Index or RI, Index of Agreement or IA, Modeling Efficiency or MEF, Cost Function or CF, Coefficient of Residual Mass or CRM). These skill assessments were applied and calculated to evaluate the hydrodynamic modeling at one of Florida estuaries for water level, current, and salinity as comparing measured and simulated values. We found that AAE, RMSE, RAAE, CC, IA, MEF, CF, and CRM are suitable for the error assessment of water level and current, and AAE, RMSE, RAAE, PME, CC, RI, IA, CF, and CRM are good at the salinity error assessment. Quantitative and qualitative skill assessments showed the similar trend in terms of the classification for good and bad performance of model. Furthermore, this paper suggested the criteria of the "good" model performance for water level, current, and salinity. The criteria are RAAE < 10%, CC > 0.95, IA > 0.98, MEF > 0.93, CF < 0.21 for water level, RAAE < 20%, CC > 0.7, IA > 0.8, MEF > 0.5, CF < 0.5 for current, and RAAE < 10%, PME < 10%, CC > 0.9, RI < 1.15, CF < 0.1 for salinity.

A study on Reliability Analysis for Prediction Technology of Water Content in the Ground using Hyperspectral Informations (초분광정보를 이용한 지반의 함수비 예측 기술의 신뢰성 분석 연구)

  • Lee, Kicheol;Ahn, Heechul;Park, Jeong-Jun;Cho, Jinwoo;You, Seung-Kyong;Hong, Gigwon
    • Journal of the Korean Geosynthetics Society
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    • v.20 no.4
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    • pp.141-149
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    • 2021
  • In this study, an laboratory experiment was performed for prediction technology of water content in the ground using hyperspectral information. And the spectral reflectance with a specific wavelength band was obtained according to the fine and water content. Through it, the spectral information was normalized with the spectral index of the existing literature, and the relationship with the fine and water contents and the reliability of the prediction technology were analyzed. As a result of analysis, the spectral reflectance is decreased when the water and fine contents are increased under the high water contents. In addition, the reliability of prediction technology of water content was evaluated by examining 7 different spectral index calculation methods. Among them, DVI showed relatively high prediction reliability and was superior to other calculation methods in terms of sensitivity.