• 제목/요약/키워드: Inverse Problems

검색결과 357건 처리시간 0.027초

MCMC Approach for Parameter Estimation in the Structural Analysis and Prognosis

  • An, Da-Wn;Gang, Jin-Hyuk;Choi, Joo-Ho
    • 한국전산구조공학회논문집
    • /
    • 제23권6호
    • /
    • pp.641-649
    • /
    • 2010
  • Estimation of uncertain parameters is required in many engineering problems which involve probabilistic structural analysis as well as prognosis of existing structures. In this case, Bayesian framework is often employed, which is to represent the uncertainty of parameters in terms of probability distributions conditional on the provided data. The resulting form of distribution, however, is not amenable to the practical application due to its complex nature making the standard probability functions useless. In this study, Markov chain Monte Carlo (MCMC) method is proposed to overcome this difficulty, which is a modern computational technique for the efficient and straightforward estimation of parameters. Three case studies that implement the estimation are presented to illustrate the concept. The first one is an inverse estimation, in which the unknown input parameters are inversely estimated based on a finite number of measured response data. The next one is a metamodel uncertainty problem that arises when the original response function is approximated by a metamodel using a finite set of response values. The last one is a prognostics problem, in which the unknown parameters of the degradation model are estimated based on the monitored data.

Whole learning algorithm of the neural network for modeling nonlinear and dynamic behavior of RC members

  • Satoh, Kayo;Yoshikawa, Nobuhiro;Nakano, Yoshiaki;Yang, Won-Jik
    • Structural Engineering and Mechanics
    • /
    • 제12권5호
    • /
    • pp.527-540
    • /
    • 2001
  • A new sort of learning algorithm named whole learning algorithm is proposed to simulate the nonlinear and dynamic behavior of RC members for the estimation of structural integrity. A mathematical technique to solve the multi-objective optimization problem is applied for the learning of the feedforward neural network, which is formulated so as to minimize the Euclidean norm of the error vector defined as the difference between the outputs and the target values for all the learning data sets. The change of the outputs is approximated in the first-order with respect to the amount of weight modification of the network. The governing equation for weight modification to make the error vector null is constituted with the consideration of the approximated outputs for all the learning data sets. The solution is neatly determined by means of the Moore-Penrose generalized inverse after summarization of the governing equation into the linear simultaneous equations with a rectangular matrix of coefficients. The learning efficiency of the proposed algorithm from the viewpoint of computational cost is verified in three types of problems to learn the truth table for exclusive or, the stress-strain relationship described by the Ramberg-Osgood model and the nonlinear and dynamic behavior of RC members observed under an earthquake.

Dimmable Spatial Intensity Modulation for Visible-light Communication: Capacity Analysis and Practical Design

  • Kim, Byung Wook;Jung, Sung-Yoon
    • Current Optics and Photonics
    • /
    • 제2권6호
    • /
    • pp.532-539
    • /
    • 2018
  • Multiple LED arrays can be utilized in visible-light communication (VLC) to improve communication efficiency, while maintaining smart illumination functionality through dimming control. This paper proposes a modulation scheme called "Spatial Intensity Modulation" (SIM), where the effective number of turned-on LEDs is employed for data modulation and dimming control in VLC systems. Unlike the conventional pulse-amplitude modulation (PAM), symbol intensity levels are not determined by the amplitude levels of a VLC signal from each LED, but by counting the number of turned-on LEDs, illuminating with a single amplitude level. Because the intensity of a SIM symbol and the target dimming level are determined solely in the spatial domain, the problems of conventional PAM-based VLC and related MIMO VLC schemes, such as unstable dimming control, non uniform illumination functionality, and burdens of channel prediction, can be solved. By varying the number and formation of turned-on LEDs around the target dimming level in time, the proposed SIM scheme guarantees homogeneous illumination over a target area. An analysis of the dimming capacity, which is the achievable communication rate under the target dimming level in VLC, is provided by deriving the turn-on probability to maximize the entropy of the SIM-based VLC system. In addition, a practical design of dimmable SIM scheme applying the multilevel inverse source coding (MISC) method is proposed. The simulation results under a range of parameters provide baseline data to verify the performance of the proposed dimmable SIM scheme and applications in real systems.

MediaPipe를 이용한 목재 제조업 작업자의 근골격계 유해요인 평가 방법 (An Evaluation Method for the Musculoskeletal Hazards in Wood Manufacturing Workers Using MediaPipe)

  • 정성오;국중진
    • 반도체디스플레이기술학회지
    • /
    • 제21권2호
    • /
    • pp.117-122
    • /
    • 2022
  • This paper proposes a method for evaluating the work of manufacturing workers using MediaPipe as a risk factor for musculoskeletal diseases. Recently, musculoskeletal disorders (MSDs) caused by repeated working attitudes in industrial sites have emerged as one of the biggest problems in the industrial health field while increasing public interest. The Korea Occupational Safety and Health Agency presents tools such as NIOSH Lifting Equations (NIOSH), OWAS (Ovako Working-posture Analysis System), Rapid Upper Limb Assessment (RULA), and Rapid Entertainment Assessment (REBA) as ways to quantitatively calculate the risk of musculoskeletal diseases that can occur due to workers' repeated working attitudes. To compensate for these shortcomings, the system proposed in this study obtains the position of the joint by estimating the posture of the worker using the posture estimation learning model of MediaPipe. The position of the joint is calculated using inverse kinetics to obtain an angle and substitute it into the REBA equation to calculate the load level of the working posture. The calculated result was compared to the expert's image-based REBA evaluation result, and if there was a result with a large error, feedback was conducted with the expert again.

金屬熱處理를 위한 高溫面의 膜沸騰急冷却에 관한 硏究 (第1報, 炭素鋼 켄칭 過程의 冷却曲線과 過渡沸騰熱傳達) (A Study on the Film Boiling-Quenching Process of the Hot Surface for the Heat Treatment of Metals (1st Report, Cooling Curves and Transient Boiling Heat Transfer during the Quenching Process of Carbon Steel))

  • 윤석훈;홍영표;김경근;정대인
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제15권3호
    • /
    • pp.57-65
    • /
    • 1991
  • The quenching of steels by water is one of the important problems in engineering for the applications of heat treatment or continuous casting process, but the fundamental researches by the theoretical approaches have not been satisfactorily improved yet. The very rapid cooling problems by the thermal conduction including the latent heat of phase transformation in steel and the transient boiling heat transfer of water on the surface of the steel covering from $850^{\circ}C$ to $20^{\circ}C$ are the key problems of heat treatment. The present quenching experiments are performed for the cylindrical specimens of carbon steel, S45C of diameters (12-30). Nonlinear transient heat conduction and transient boiling heat transfer problem of water on the surface of specimens is analyzed by the numerical method of inverse heat conduction problem. The conditions for the calculation are that the initial temperature of specimens is $820^{\circ}C$ and the cooling water in bath are $20^{\circ}C$,$40^{\circ}C$,$60^{\circ}C$,$80^{\circ}C$,$95^{\circ}C$ with no agitation.

  • PDF

ILL-VERSUS WELL-POSED SINGULAR LINEAR SYSTEMS: SCOPE OF RANDOMIZED ALGORITHMS

  • Sen, S.K.;Agarwal, Ravi P.;Shaykhian, Gholam Ali
    • Journal of applied mathematics & informatics
    • /
    • 제27권3_4호
    • /
    • pp.621-638
    • /
    • 2009
  • The linear system Ax = b will have (i) no solution, (ii) only one non-trivial (trivial) solution, or (iii) infinity of solutions. Our focus will be on cases (ii) and (iii). The mathematical models of many real-world problems give rise to (a) ill-conditioned linear systems, (b) singular linear systems (A is singular with all its linearly independent rows are sufficiently linearly independent), or (c) ill-conditioned singular linear systems (A is singular with some or all of its strictly linearly independent rows are near-linearly dependent). This article highlights the scope and need of a randomized algorithm for ill-conditioned/singular systems when a reasonably narrow domain of a solution vector is specified. Further, it stresses that with the increasing computing power, the importance of randomized algorithms is also increasing. It also points out that, for many optimization linear/nonlinear problems, randomized algorithms are increasingly dominating the deterministic approaches and, for some problems such as the traveling salesman problem, randomized algorithms are the only alternatives.

  • PDF

자연수의 사칙연산에 대한 아동의 이해 분석 (The Analysis of Children's Understanding of Operations on Whole Numbers)

  • 황우형;김경미
    • 한국수학교육학회지시리즈A:수학교육
    • /
    • 제47권4호
    • /
    • pp.519-543
    • /
    • 2008
  • The study has been conducted with 29 children from 4th to 6th grades to realize how they understand addition, subtraction, multiplication, and division of whole numbers, and how their understanding influences solving of one-step word problems. Children's understanding of operations was categorized into "adding" and "combination" for additions, "taking away" and "comparison" for subtractions, "equal groups," "rectangular arrange," "ratio," and "Cartesian product" for multiplications, and "sharing," "measuring," "comparison," "ratio," "multiplicative inverse," and "repeated subtraction" for divisions. Overall, additions were mostly understood additions as "adding"(86.2%), subtractions as "taking away"(86.2%), multiplications as "equal groups"(100%), and divisions as "sharing"(82.8%). This result consisted with the Fischbein's intuitive models except for additions. Most children tended to solve the word problems based on their conceptual structure of the four arithmetic operations. Even though their conceptual structure of arithmetic operations helps to better solve problems, this tendency resulted in wrong solutions when problem situations were not related to their conceptual structure. Children in the same category of understanding for each operations showed some common features while solving the word problems. As children's understanding of operations significantly influences their solutions to word problems, they needs to be exposed to many different problem situations of the four arithmetic operations. Furthermore, the focus of teaching needs to be the meaning of each operations rather than computational algorithm.

  • PDF

분류 및 회귀문제에서의 분류 성능과 정확도를 동시에 향상시키기 위한 새로운 바이어스 스케줄링 방법 (A New Bias Scheduling Method for Improving Both Classification Performance and Precision on the Classification and Regression Problems)

  • 김은미;박성미;김광희;이배호
    • 한국정보과학회논문지:소프트웨어및응용
    • /
    • 제32권11호
    • /
    • pp.1021-1028
    • /
    • 2005
  • 분류 및 회계문제에서의 일반적인 해법은, 현실 세계에서 얻은 정보를 행렬로 사상하거나, 이진정보로 변형하는 등 주어진 데이타의 가공과 이를 이용한 학습에서 찾을 수 있다. 본 논문은 현실세계에 존재하는 순수한 데이타를 근원공간이라 칭하며, 근원 데이타가 커널에 의해 사상된 행렬을 이원공간이라 한다. 근원공간 혹은 이원공간에서의 분류문제는 그 역이 존재하는 문제 즉, 완전해가 존재하는 문제와, 그 역이 존재하지 않거나, 역의 원소 값들이 무한히 커지는 불량조건 흑은 특이조건인 두 가지 형태로 존재한다. 특히, 실제 문제에 있어서 완전 해를 가진 문제이기 보다는 후자에 가까운 형태로 나타나게 된다. 결론적으로 근원데이타나 이원데이타를 이용한 문제를 해결하기 위해서는 많은 경우에 완전 해를 갖는 문제로 변형시키는 정규화과정이 필요하다. 본 논문에서는 이러한 정규화 인수를 찾는 문제를 기존의 GCV, L-Curve, 그리고 이원공간에서의 데이타를 RBF 신경회로망에 적용시킨 커널 학습법에 대한 각각의 성능을 비교실험을 통해 고찰한다. GCV와 L-Curve는 정규화 인수를 찾는 대표적인 방법으로 두 방법 모두 성능면에서 동등하며 문제의 조건에 따라 다소 차이를 보인다. 그러나 이러한 두 방법은 문제해를 구하기 위해서는 정규화 인수를 구한후 문제를 재정의하는 이원적인 문제해결이라는 취약점을 갖는다. 반면, RBF 신경회로망을 이용한 방법은 정규화 인수와 해를 동시에 학습하는 단일화된 방법이 된다. 이때 커널을 이용한 학습법의 성능을 향상하기 위해, 전체학습과 성능의 제한적 비례관계라는 설정아래, 각각의 학습에 따라 능동적으로 변화하는 동적모멘텀의 도입을 제안한다. 동적모멘트는 바이어스 학습을 포함한 방법과 포함하지 않은 방법에 각각 적용분석하였다. 끝으로 제안된 동적모멘텀이 분류문제의 표준인 Iris 데이터, Singular 시스템의 대표적 모델인 가우시안 데이타, 그리고 마지막으로 1차원 이미지 복구문제인 Shaw데이타를 이용한 각각의 실험에서 분류문제와 회계문제 양쪽 모두에 있어 기존의 GCV, L-Curve와 동등하거나 우수한 성능이 있음을 보인다.

$\cdot$일 간호대학생의 음주가 생활습관과 건강상태에 미치는 영향 - 음주학생과 비음주학생간의 비교연구 - (Effect of Drinking status on Lifestyle and Health Status in Korean and Japanese Nursing Students)

  • 조유향;김명순;장홍천혜
    • 한국보건간호학회지
    • /
    • 제18권2호
    • /
    • pp.286-298
    • /
    • 2004
  • The purpose of this study was to survey the general characteristics, lifestyle include health habits, subjective health problems include physical, psychological and overall health complaints that occurring among Korean and Japanese nursing students. Data collected with the self-administered Okayama Medical Index Health Questionnaire(devised Cornell Medical Index) from 466 Korean and 688 Japanese Nursing Students were analyzed. The subjects were 18 to 24 years old in their 1st, 2nd, 3rd and 4th year-class of nursing department. The total O.M.I. score(section A-R) ranged from 1 to 110 with an average of 22.3(SD=11.5) in Korean nursing students and 18.3(SD=10.1) in Japanese nursing students. A statistically significant inverse correlation was observed between Korean nursing student and Japanese nursing students for the overall health complaints. Korean nursing students have more health problems than Japanese nursing students in terms of physical and overall health complaints excluding psychological problems. About $4\%$ of Korean nursing students were current smokers and $64.2\%$ of Korean nursing students were drinker. Korean nursing students in the drinker's group were more likely to eat fatty foods(p<.001), and take worst lifestyle and have more subjective health problems than non drinker's group of Korean nursing students. Korean nursing students were more likely to perform bad health behaviors than Japanese nursing students. The drink habit is one of the biggest problems among the nursing student, and then we have to have the mobilizing for 'Change on Alcohol' in our universities. This conclusion should provide grounds for future studies of strategies for health promotion and of prevention measures for psychological ill-health of nursing students.

  • PDF

유전 알고리즘을 이용한 탄화 재료의 화재 물성치 추정 (Estimation of Fire Dynamics Properties for Charring Material Using a Genetic Algorithm)

  • 장희철;박원희;이덕희;정우성;손봉세;김태국
    • 한국화재소방학회논문지
    • /
    • 제24권2호
    • /
    • pp.106-113
    • /
    • 2010
  • 화재특성을 보다 현실감 있게 분석하기 위해서는 관련된 화재 역학의 정확한 물성 정보를 필요로 하게 되며, 이러한 화재물성을 획득하는 하나의 방법으로서 역물성 분석이 고려될 수 있다. 본 연구에서는 역물성 해석의 한가지 방법으로서 역열전달 해석 등에 많이 응용되고 있는 유전 알고리즘을 이용하였다. 고체 형태의 화재 물질로서 비교적 단순한 반응 특성을 나타내는 탄화물이 외부로부터 열을 받아 열분해되는 과정을 비정상 상태의 일차원문제로 간략화하여 해석하였으며, 이 과정에서 관계되는 반응역학의 물성을 추정하기 위하여 유전 알고리즘을 이용하였다. 이러한 역물성 분석의 입력 자료로서는 주어진 물성값을 이용하여 1차원 비정상 문제의 해석 결과인 탄화물의 열분해 표면 온도와 질량소모율 등이 되며, 이들 입력 자료에 해당하는 8개의 화재 물성치를 추정하여 보았다. 추정된 8개의 물성치 중 최대, 최소 상대오차는 각각 151%(탄화물의 비열), 1.81%(탄화 전 초기재료의 비열)이며, 추정된 8개의 화재 물성치를 입력하여 계산한 표면 온도와 질량소모율의 가상실험값에 대한 평균 상대오차는 각각 0.99773%, 3.087802%로 비교적 정확한 값을 추정한 것으로 나타났다.