• Title/Summary/Keyword: initial sample size

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Effects of Latin hypercube sampling on surrogate modeling and optimization

  • Afzal, Arshad;Kim, Kwang-Yong;Seo, Jae-won
    • International Journal of Fluid Machinery and Systems
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    • v.10 no.3
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    • pp.240-253
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    • 2017
  • Latin hypercube sampling is widely used design-of-experiment technique to select design points for simulation which are then used to construct a surrogate model. The exploration/exploitation properties of surrogate models depend on the size and distribution of design points in the chosen design space. The present study aimed at evaluating the performance characteristics of various surrogate models depending on the Latin hypercube sampling (LHS) procedure (sample size and spatial distribution) for a diverse set of optimization problems. The analysis was carried out for two types of problems: (1) thermal-fluid design problems (optimizations of convergent-divergent micromixer coupled with pulsatile flow and boot-shaped ribs), and (2) analytical test functions (six-hump camel back, Branin-Hoo, Hartman 3, and Hartman 6 functions). The three surrogate models, namely, response surface approximation, Kriging, and radial basis neural networks were tested. The important findings are illustrated using Box-plots. The surrogate models were analyzed in terms of global exploration (accuracy over the domain space) and local exploitation (ease of finding the global optimum point). Radial basis neural networks showed the best overall performance in global exploration characteristics as well as tendency to find the approximate optimal solution for the majority of tested problems. To build a surrogate model, it is recommended to use an initial sample size equal to 15 times the number of design variables. The study will provide useful guidelines on the effect of initial sample size and distribution on surrogate construction and subsequent optimization using LHS sampling plan.

Cumulative Sequential Control Charts with Sample Size Bound (표본크기에 제약이 있는 누적 축차관리도)

  • Chang, Young-Soon;Bai, Do-Sun
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.4
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    • pp.448-458
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    • 1999
  • This paper proposes sequential control charts with an upper bound on sample size. Existing sequential control charts have no restriction on the number of observations at a sampling point. For situations where sampling and testing an item is time-consuming or expensive, sequential control charts may not be directly applied. When the number of observations in a sampling point reaches the upper bound and there is no out-of-control signal, the proposed cumulative sequential control chart defers the decision to the next sampling point of which starting value is the value of the current statistic. Two Markov chains, inner and outer chains, are used to derive the formulas for evaluating the performance of the proposed chart. It is compared with $\bar{X}$ and cumulative sum control charts with fixed and variable sample sizes. The fast initial response (FIR) feature is studied. Guidelines for the design of the proposed charts are also given.

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Reduction in Sample Size for Efficient Monte Carlo Localization (효율적인 몬테카를로 위치추정을 위한 샘플 수의 감소)

  • Yang Ju-Ho;Song Jae-Bok
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.5
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    • pp.450-456
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    • 2006
  • Monte Carlo localization is known to be one of the most reliable methods for pose estimation of a mobile robot. Although MCL is capable of estimating the robot pose even for a completely unknown initial pose in the known environment, it takes considerable time to give an initial pose estimate because the number of random samples is usually very large especially for a large-scale environment. For practical implementation of MCL, therefore, a reduction in sample size is desirable. This paper presents a novel approach to reducing the number of samples used in the particle filter for efficient implementation of MCL. To this end, the topological information generated through the thinning technique, which is commonly used in image processing, is employed. The global topological map is first created from the given grid map for the environment. The robot then scans the local environment using a laser rangefinder and generates a local topological map. The robot then navigates only on this local topological edge, which is likely to be similar to the one obtained off-line from the given grid map. Random samples are drawn near the topological edge instead of being taken with uniform distribution all over the environment, since the robot traverses along the edge. Experimental results using the proposed method show that the number of samples can be reduced considerably, and the time required for robot pose estimation can also be substantially decreased without adverse effects on the performance of MCL.

Enhancement of Size Gradient of Imprinted Nanopattern by Plasma Etching under a Nonuniform Magnetic Field

  • Lim, Jonghwan;Kim, Soohyun;Kim, Da Sol;Jeong, Mira;Lee, Jae-Jong;Yun, Wan Soo
    • Applied Science and Convergence Technology
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    • v.24 no.5
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    • pp.184-189
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    • 2015
  • We report a simple way to enhance the size gradient of an imprinted nanopattern through oxygen plasma etching under a nonuniform magnetic field. A sample substrate was placed next to a magnet, and then a nonuniform magnetic field condition was formed around the sample. Using oxygen plasma etching, a line pattern having an initial width of 273 nm was gradually modified from 248 nm at one end to 182 nm at the other end. Controlling the arrangement of the magnet and sample, we could induce a triangular shape size gradient. We verified that the gradually modified nanopatterns we produced are applicable to continual optical property control, showing a possibility to be utilized for optical components such as gratings and polarizers.

On Convergence of Stratification Algorithms for Skewed Populations

  • Park, In-Ho
    • The Korean Journal of Applied Statistics
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    • v.22 no.6
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    • pp.1277-1287
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    • 2009
  • For stratifying skewed populations, the Lavall$\acute{e}$e-Hidiroglou(LH) algorithm is often considered to have a take-all stratum with the largest units and some take-some strata with the middle-size and small units. Related to its iterative nature have been reported some numerical difficulties such as the dependency of the ultimate stratum boundaries to a choice of initial boundaries and the slow convergence to locally-optimum boundaries. The geometric stratification has been recently proposed to provide initial boundaries that can avoid such numerical difficulties in implementing the LH algorithm. Since the geometric stratification does not pursuit the optimization but the equalization of the stratum CVs, the corresponding stratum boundaries may not be (near) optimal. This paper revisits these issues concerning convergence and near-optimality of optimal stratification algorithms using artificial numerical examples. We also discuss the formation of the strata and the sample allocation under the optimization process and some aspects related to discontinuity arisen from the finiteness of both population and sample as well.

Production of red pigments by Monascus purpureus in solid-state culture

  • Park, Hae-Yeon;Lee, Beom-Gyu;Jeong, Uk-Jin
    • 한국생물공학회:학술대회논문집
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    • 2001.11a
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    • pp.315-316
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    • 2001
  • In this study various nutritional and environmental parameters such as, initial moisture content, pH. inoculum size, air rate, sample size and nutrient supplement that influence pigment production were evaluated in solid-state cultures. optimum initial moisture content and pH were determined to be 50% and 6.0, respectively. The supplement of the substrate with different carbon, nitrogen, and mineral source reveals a more inhibitive effect as the substrate concentration increase. optimum aeration rate was determined to be 2vvm in flask culture. The maximum amount of red pigment, 3500 OD/g dried fermented rice, was obtained in optimum conditions which is obtained in solid flask culture.

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Probability Sampling Method for a Hidden Population Using Respondent-Driven Sampling: Simulation for Cancer Survivors

  • Jung, Minsoo
    • Asian Pacific Journal of Cancer Prevention
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    • v.16 no.11
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    • pp.4677-4683
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    • 2015
  • When there is no sampling frame within a certain group or the group is concerned that making its population public would bring social stigma, we say the population is hidden. It is difficult to approach this kind of population survey-methodologically because the response rate is low and its members are not quite honest with their responses when probability sampling is used. The only alternative known to address the problems caused by previous methods such as snowball sampling is respondent-driven sampling (RDS), which was developed by Heckathorn and his colleagues. RDS is based on a Markov chain, and uses the social network information of the respondent. This characteristic allows for probability sampling when we survey a hidden population. We verified through computer simulation whether RDS can be used on a hidden population of cancer survivors. According to the simulation results of this thesis, the chain-referral sampling of RDS tends to minimize as the sample gets bigger, and it becomes stabilized as the wave progresses. Therefore, it shows that the final sample information can be completely independent from the initial seeds if a certain level of sample size is secured even if the initial seeds were selected through convenient sampling. Thus, RDS can be considered as an alternative which can improve upon both key informant sampling and ethnographic surveys, and it needs to be utilized for various cases domestically as well.

Electrochemical Characterization of Anodic Tin Oxides with Nano-Porous Structure (나노 구조를 가지는 다공성 주석 산화물의 전기화학적 특성)

  • Lee, Jae-Wook;Park, Su-Jin;Shin, Heon-Cheol
    • Korean Journal of Materials Research
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    • v.21 no.1
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    • pp.21-27
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    • 2011
  • A nano-porous structure of tin oxide was prepared using an anodic oxidation process and the sample's electrochemical properties were evaluated for application as an anode in a rechargeable lithium battery. Microscopic images of the as-anodized sample indicated that it has a nano-porous structure with an average pore size of several tens of nanometers and a pore wall size of about 10 nanometers; the structural/compositional analyses proved that it is amorphous stannous oxide (SnO). The powder form of the as-anodized specimen was satisfactorily lithiated and delithiated as the anode in a lithium battery. Furthermore, it showed high initial reversible capacity and superior rate performance when compared to previous fabrication attempts. Its excellent electrode performance is probably due to the effective alleviation of strain arising from a cycling-induced large volume change and the short diffusion length of lithium through the nano-structured sample. To further enhance the rate performance, the attempt was made to create porous tin oxide film on copper substrate by anodizing the electrodeposited tin. Nevertheless, the full anodization of tin film on a copper substrate led to the mechanical disintegration of the anodic tin oxide, due most likely to the vigorous gas evolution and the surface oxidation of copper substrate. The adhesion of anodic tin oxide to the substrate, together with the initial reversibility and cycling stability, needs to be further improved for its application to high-power electrode materials in lithium batteries.

Economic Structure Analysis According to Old Age Household Type (노인가계 유형별 경제구조 분석)

  • Han, Su-Jin;Seo, Ji-Soo
    • Journal of Families and Better Life
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    • v.26 no.2
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    • pp.83-101
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    • 2008
  • This research performs a multi comparison between the age of old households and the economic structure according to accommodation type as well as analyzing the economical structural difference of each type based on the features of aged households. The paper classified aged households into 3 groups according to age distribution. The economic structure analysis according to the age of old households and accommodation type was shown as follow: First, the economical structural analysis based on the age of old households showed a statistical difference in the total, labor, business, property and transfer income variables according to the age of each sample group. However, the non-business income and liabilities did not show a significant difference. Second, in the analysis of different economic earnings and initial expenses of middle-aged households according to the age distribution group showed a disparity in the total, labor, business, property, and transfer income variables according to the age of each sample group. However, aged households showed a statistical difference in total, labor, business and transfer income variables. Third, in the analysis of difference in the expense provision and size of consumption, there was a statistical difference in the expense variables of total consumption, food, dining out, electricity, water, furniture, kitchen supplies, clothing, shoe, education, culture, entertainment, transportation, and communication. Fourth, in the analysis of difference in the size of consumption expense, the initial and middle-aged households showed a statistical difference in the total consumption, food, dining out, electricity, water, furniture, kitchen supplies, clothing, shoe, education, culture, entertainment, transportation, communication, and consumption expense variables. However, the analysis of aged households has shown a statistical difference in the total consumption, food, dining out, electricity, water, furniture, kitchen supplies, clothing, shoe, education, culture, entertainment, transportation, and communication expense variables. The study found a statistical difference in the expense for hygienics that did not appear in the initial and middle-aged households.

A Development of Optimal Design Model for Initial Blank Shape Using Artificial Neural Network in Rectangular Case Forming with Large Aspect Ratio (세장비가 큰 사각케이스 성형 공정에서의 인공신경망을 적용한 초기 블랭크 형상 최적설계 모델 개발)

  • Kwak, M.J.;Park, J.W.;Park, K.T.;Kang, B.S.
    • Transactions of Materials Processing
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    • v.29 no.5
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    • pp.272-281
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    • 2020
  • As the thickness of mobile communication devices is getting thinner, the size of the internal parts is also getting smaller. Among them, the battery case requires a high-level deep drawing technique because it has a rectangular shape with a large aspect ratio. In this study, the initial blank shape was optimized to minimize earing in a multi-stage deep drawing process using an artificial neural network(ANN). There has been no reported case of applying artificial neural network technology to the initial blank optimal design for a square case with large aspect ratio. The training data for ANN were obtained though simulation, and the model reliability was verified by performing comparative study with regression model using random sample test and goodness-of-fit test. Finally, the optimal design of the initial blank shape was performed through the verified ANN model.