• 제목/요약/키워드: Bayesian optimal design

검색결과 21건 처리시간 0.02초

Wireless sensor network design for large-scale infrastructures health monitoring with optimal information-lifespan tradeoff

  • Xiao-Han, Hao;Sin-Chi, Kuok;Ka-Veng, Yuen
    • Smart Structures and Systems
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    • 제30권6호
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    • pp.583-599
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    • 2022
  • In this paper, a multi-objective wireless sensor network configuration optimization method is proposed. The proposed method aims to determine the optimal information and lifespan wireless sensor network for structural health monitoring of large-scale infrastructures. In particular, cluster-based wireless sensor networks with multi-type of sensors are considered. To optimize the lifetime of the wireless sensor network, a cluster-based network optimization algorithm that optimizes the arrangement of cluster heads and base station is developed. On the other hand, based on the Bayesian inference, the uncertainty of the estimated parameters can be quantified. The coefficient of variance of the estimated parameters can be obtained, which is utilized as a holistic measure to evaluate the estimation accuracy of sensor configurations with multi-type of sensors. The proposed method provides the optimal wireless sensor network configuration that satisfies the required estimation accuracy with the longest lifetime. The proposed method is illustrated by designing the optimal wireless sensor network configuration of a cable-stayed bridge and a space truss.

자연 프루닝과 베이시안 선택에 의한 신경회로망 일반화 성능 향상 (Improving Generalization Performance of Neural Networks using Natural Pruning and Bayesian Selection)

  • 이현진;박혜영;이일병
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제30권3_4호
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    • pp.326-338
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    • 2003
  • 신경회로망 설계 및 모델선택의 목표는 최적의 구조를 가지는 일반화 성능이 우수한 네트워크를 구성하는 것이다. 하지만 학습데이타에는 노이즈(noise)가 존재하고, 그 수도 충분하지 않기 때문에 최종적으로 표현하고자 하는 진확률 분포와 학습 데이타에 의해 표현되는 경험확률분포(empirical probability density) 사이에는 차이가 발생한다. 이러한 차이 때문에 신경회로망을 학습데이타에 대하여 과다하게 적합(fitting)시키면, 학습데이타만의 확률분포를 잘 추정하도록 매개변수들이 조정되어 버리고, 진확률 분포로부터 멀어지게 된다. 이러한 현상을 과다학습이라고 하며, 과다학습된 신경회로망은 학습데이타에 대한 근사는 우수하지만, 새로운 데이타에 대한 예측은 떨어지게 된다. 또한 신경회로망의 복잡도가 증가 할수록 더 많은 매개변수들이 노이즈에 쉽게 적합되어 과다학습 현상은 더욱 심화된다. 본 논문에서는 통계적인 관점을 바탕으로 신경회로망의 일반화 성능을 향상시키는 신경회로 망의 설계 및 모델 선택의 통합적인 프로세스를 제안하고자 한다. 먼저 학습의 과정에서 적응적 정규화가 있는 자연기울기 학습을 통해 수렴속도의 향상과 동시에 과다학습을 방지하여 진확률 분포에 가까운 신경회로망을 얻는다. 이렇게 얻어진 신경회로망에 자연 프루닝(natural pruning) 방법을 적용하여 서로 다른 크기의 후보 신경회로망 모델을 얻는다. 이러한 학습과 복잡도 최적화의 통합 프로세스를 통하여 얻은 후보 모델들 중에서 최적의 모델을 베이시안 정보기준에 의해 선택함으로써 일반화 성능이 우수한 최적의 모델을 구성하는 방법을 제안한다. 또한 벤치마크 문제를 이용한 컴퓨터 시뮬레이션을 통하여, 제안하는 학습 및 모델 선택의 통합프로세스의 일반화 성능과 구조 최적화 성능의 우수성을 검증한다.

Empirical Statistical Power for Testing Multilocus Genotypic Effects under Unbalanced Designs Using a Gibbs Sampler

  • Lee, Chae-Young
    • Asian-Australasian Journal of Animal Sciences
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    • 제25권11호
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    • pp.1511-1514
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    • 2012
  • Epistasis that may explain a large portion of the phenotypic variation for complex economic traits of animals has been ignored in many genetic association studies. A Baysian method was introduced to draw inferences about multilocus genotypic effects based on their marginal posterior distributions by a Gibbs sampler. A simulation study was conducted to provide statistical powers under various unbalanced designs by using this method. Data were simulated by combined designs of number of loci, within genotype variance, and sample size in unbalanced designs with or without null combined genotype cells. Mean empirical statistical power was estimated for testing posterior mean estimate of combined genotype effect. A practical example for obtaining empirical statistical power estimates with a given sample size was provided under unbalanced designs. The empirical statistical powers would be useful for determining an optimal design when interactive associations of multiple loci with complex phenotypes were examined.

신경회로망과 확률모델을 이용한 2차원운동의 외부좌표에 대한 EMG신호의 패턴인식에 관한 연구 (A study on the Pattern Recognition of the EMG signals using Neural Network and Probabilistic modal for the two dimensional Motions described by External Coordinate)

  • 장영건;권장우;홍승홍
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1991년도 춘계학술대회
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    • pp.65-70
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    • 1991
  • A hybrid model which uses a probabilistic model and a MLP(multi layer perceptron) model for pattern recognition of EMG(electromyogram) signals is proposed in this paper. MLP model has problems which do not guarantee global minima of error due to learning method and have different approximation grade to bayesian probabilities due to different amounts and quality of training data, the number of hidden layers and hidden nodes, etc. Especially in the case of new test data which exclude design samples, the latter problem produces quite different results. The error probability of probabilistic model is closely related to the estimation error of the parameters used in the model and fidelity of assumtion. Generally, it is impossible to introduce the bayesian classifier to the probabilistic model of EMG signals because of unknown priori probabilities and is estimated by MLE(maximum likelihood estimate). In this paper we propose the method which get the MAP(maximum a posteriori probability) in the probabilistic model by estimating the priori probability distribution which minimize the error probability using the MLP. This method minimize the error probability of the probabilistic model as long as the realization of the MLP is optimal and approximate the minimum of error probability of each class of both models selectively. Alocating the reference coordinate of EMG signal to the outside of the body make it easy to suit to the applications which it is difficult to define and seperate using internal body coordinate. Simulation results show the benefit of the proposed model compared to use the MLP and the probabilistic model seperately.

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인공지능기법을 이용한 초음파분무화학기상증착의 유동해석 결과분석에 관한 연구 (A Study on CFD Result Analysis of Mist-CVD using Artificial Intelligence Method )

  • 하주환;신석윤;김준영;변창우
    • 반도체디스플레이기술학회지
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    • 제22권1호
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    • pp.134-138
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    • 2023
  • This study focuses on the analysis of the results of computational fluid dynamics simulations of mist-chemical vapor deposition for the growth of an epitaxial wafer in power semiconductor technology using artificial intelligence techniques. The conventional approach of predicting the uniformity of the deposited layer using computational fluid dynamics and design of experimental takes considerable time. To overcome this, artificial intelligence method, which is widely used for optimization, automation, and prediction in various fields, was utilized to analyze the computational fluid dynamics simulation results. The computational fluid dynamics simulation results were analyzed using a supervised deep neural network model for regression analysis. The predicted results were evaluated quantitatively using Euclidean distance calculations. And the Bayesian optimization was used to derive the optimal condition, which results obtained through deep neural network training showed a discrepancy of approximately 4% when compared to the results obtained through computational fluid dynamics analysis. resulted in an increase of 146.2% compared to the previous computational fluid dynamics simulation results. These results are expected to have practical applications in various fields.

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Self-adaptive sampling for sequential surrogate modeling of time-consuming finite element analysis

  • Jin, Seung-Seop;Jung, Hyung-Jo
    • Smart Structures and Systems
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    • 제17권4호
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    • pp.611-629
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    • 2016
  • This study presents a new approach of surrogate modeling for time-consuming finite element analysis. A surrogate model is widely used to reduce the computational cost under an iterative computational analysis. Although a variety of the methods have been widely investigated, there are still difficulties in surrogate modeling from a practical point of view: (1) How to derive optimal design of experiments (i.e., the number of training samples and their locations); and (2) diagnostics of the surrogate model. To overcome these difficulties, we propose a sequential surrogate modeling based on Gaussian process model (GPM) with self-adaptive sampling. The proposed approach not only enables further sampling to make GPM more accurate, but also evaluates the model adequacy within a sequential framework. The applicability of the proposed approach is first demonstrated by using mathematical test functions. Then, it is applied as a substitute of the iterative finite element analysis to Monte Carlo simulation for a response uncertainty analysis under correlated input uncertainties. In all numerical studies, it is successful to build GPM automatically with the minimal user intervention. The proposed approach can be customized for the various response surfaces and help a less experienced user save his/her efforts.

사고 위험성을 고려한 운행중지 결정 모형 (A Forecasting and Decision Model that Incorporates Accident Risks)

  • 양희중;이근부;오세호
    • 산업경영시스템학회지
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    • 제27권4호
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    • pp.1-6
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    • 2004
  • 사고 위험성을 고려한 예측 및 의사결정 모형을 구축한다. 시스템을 즉시 운행중지 할 것인지 혹은 계획된 일정기간을 더 운행 한 후 다시 의사결정을 내릴 것인지를 판단하는 방법론에 대해 연구한다. 의사결정을 내리는데 있어서 비용 및 위험에 대한 새로운 정보가 입수되는 대로 이를 반영한다. 예측 모형을 통해 분석된 결과들을 활용해 보다 나은 의사결정을 내리는 방법에 대해 연구한다.

고강도 Nb기 초내열 합금 설계를 위한 기계학습 기반 데이터 분석 (Machine Learning-based Data Analysis for Designing High-strength Nb-based Superalloys)

  • 마은호;박수원;최현주;황병철;변종민
    • 한국분말재료학회지
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    • 제30권3호
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    • pp.217-222
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    • 2023
  • Machine learning-based data analysis approaches have been employed to overcome the limitations in accurately analyzing data and to predict the results of the design of Nb-based superalloys. In this study, a database containing the composition of the alloying elements and their room-temperature tensile strengths was prepared based on a previous study. After computing the correlation between the tensile strength at room temperature and the composition, a material science analysis was conducted on the elements with high correlation coefficients. These alloying elements were found to have a significant effect on the variation in the tensile strength of Nb-based alloys at room temperature. Through this process, a model was derived to predict the properties using four machine learning algorithms. The Bayesian ridge regression algorithm proved to be the optimal model when Y, Sc, W, Cr, Mo, Sn, and Ti were used as input features. This study demonstrates the successful application of machine learning techniques to effectively analyze data and predict outcomes, thereby providing valuable insights into the design of Nb-based superalloys.

An R package UnifiedDoseFinding for continuous and ordinal outcomes in Phase I dose-finding trials

  • Pan, Haitao;Mu, Rongji;Hsu, Chia-Wei;Zhou, Shouhao
    • Communications for Statistical Applications and Methods
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    • 제29권4호
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    • pp.421-439
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    • 2022
  • Phase I dose-finding trials are essential in drug development. By finding the maximum tolerated dose (MTD) of a new drug or treatment, a Phase I trial establishes the recommended doses for later-phase testing. The primary toxicity endpoint of interest is often a binary variable, which describes an event of a patient who experiences dose-limiting toxicity. However, there is a growing interest in dose-finding studies regarding non-binary outcomes, defined by either the weighted sum of rates of various toxicity grades or a continuous outcome. Although several novel methods have been proposed in the literature, accessible software is still lacking to implement these methods. This study introduces a newly developed R package, UnifiedDoseFinding, which implements three phase I dose-finding methods with non-binary outcomes (Quasi- and Robust Quasi-CRM designs by Yuan et al. (2007) and Pan et al. (2014), gBOIN design by Mu et al. (2019), and by a method by Ivanova and Kim (2009)). For each of the methods, UnifiedDoseFinding provides corresponding functions that begin with next that determines the dose for the next cohort of patients, select, which selects the MTD defined by the non-binary toxicity endpoint when the trial is completed, and get oc, which obtains the operating characteristics. Three real examples are provided to help practitioners use these methods. The R package UnifiedDoseFinding, which is accessible in R CRAN, provides a user-friendly tool to facilitate the implementation of innovative dose-finding studies with nonbinary outcomes.

하중유형 분석을 통한 좌굴에 강한 복합재료 사각관 설계에 관한 연구 (Enhancement of Buckling Characteristics for Composite Square Tube by Load Type Analysis)

  • 함석우;지승민;전성식
    • Composites Research
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    • 제36권1호
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    • pp.53-58
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    • 2023
  • PIC 설계 방법은 선행 유한요소해석을 통해 하중 유형을 나누어, 각 구간마다 하중 유형에 강한 복합재료의 적층 각도 순서를 배치하는 방법이다. 기존 연구에서는 효율적으로 구간을 나누기 위하여 PIC 설계 방법에 머신 러닝이 적용되었으며, 학습 데이터는 선행 유한요소해석 결과 값을 통해 전체 요소의 일부인 참조 요소에서의 인장, 압축 그리고 전단과 같은 하중 유형으로 나누어 라벨링 되었다. 하지만 좌굴에 대해 고려되지 않아서 좌굴 발생 시, 적절한 하중 유형으로 나눌 수 없기 때문에 이를 해결하기 위한 방법이 필요하다. 본 연구에서는 좌굴이 고려되기 위한 새로운 하중 유형 분석 방법을 기존의 PIC 설계에 적용하는 기법(PIC-NTL)이 제안되었다. 좌굴의 하중 분석은 각 플라이(Ply)별 응력 3축 특성을 통해 진행되었으며, 요소의 두께 방향으로 동일한 크기의 두 영역으로 나누어진 판단 영역 내에서 결정된 하중 유형을 통해 대표 하중 유형이 지정되었다. 학습 데이터의 특성 값은 참조 요소의 좌표, 라벨(Label)은 각 판단 영역의 대표 하중 유형으로 구성되었으며, 이 데이터를 통해 머신 러닝 모델이 학습되었다. 머신 러닝 모델의 성능에 영향을 미치는 하이퍼파라미터는 베이지안 알고리즘을 통하여 최적 값으로 튜닝되었다. 튜닝 된 머신 러닝 모델의 중 SVM 모델이 가장 높은 예측률과 ROC-AUC로 나타났으며, 해당 모델을 통해 예측된 데이터가 유한요소 모델에 매핑되었다. 기존에 제안된 PIC 설계 방법과 비교하기 위하여 사각관 형태의 모델을 압축시키는 유한요소해석이 진행되었으며, 본 연구에서 제안된 설계 방법이 강도와 에너지 흡수율에서 더 우수함이 검증되었다.