• 제목/요약/키워드: Non-normality measure

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비정규지표를 이용한 Well-Conditioned 관측기 설계 (Design of the Well-Conditioned Observer Using the Non-Normality Measure)

  • 정종철;허건수
    • 대한기계학회논문집A
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    • 제26권6호
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    • pp.1114-1119
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    • 2002
  • In this paper, the well-conditioned observer is designed to be insensitive to the ill-conditioning factors in transient and steady-state observer performance. A condition number based on 12-norm of the eigenvector matrix of the observer matrix has been proposed on a principal index in the observer performance. For the well-conditioned observer design, the non-normality measure and the observability condition of the observer matrix are utilized. The two constraints are specified into observer gain boundary region that guarantees a small condition number and a stable observer. The observer gain selected in this region guarantees a well-conditioned and observable property. In this study, this method is applied to the Luenberger observer and Kalman filters for small order systems. In designing Kalman filters, the ratio of the process noise covariance to the measurement noise covariance is a design parameter and its effect on the condition number is investigated.

비정규지표를 이용한 Well-Conditioned 관측기 설계 (Design of the Well-Conditioned Observer Using the Non-normality Measure)

  • 정종철;허건수
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2001년도 추계학술대회(한국공작기계학회)
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    • pp.313-318
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    • 2001
  • In this paper, the well-conditioned observer is designed to be insensitive to the ill-conditioning factors in transient and steady-state observer performance. A condition number based on $L_2-norm$ of the eigenvector matrix of the observer matrix has been proposed on a principal index in the observer performance. For the well-conditioned observer design, the non-normality measure and the observability condition of the observer matrix are utilized. The two constraints are specified into observer gain boundary region that guarantees a small condition number and a stable observer. The observer gain selected in this region guarantees a well-conditioned and observable property. In this study, this method is applied to the Luenberger observer and Kalman filters. In designing Kalman filters for small order systems, the ratio of the process noise covariance to the measurement noise covariance is a design parameter and its effect on the condition number is investigated.

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텍스트 유사성을 위한 파라미터 및 비 파라미터 측정 (Parametric and Non Parametric Measures for Text Similarity)

  • 존 믈랴히루;김종남
    • 융합신호처리학회논문지
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    • 제20권4호
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    • pp.193-198
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    • 2019
  • 인터넷상에서의 진짜 및 가짜 정보의 범람이 수많은 텍스트 분석에 대한 연구를 이끌었다. 문헌 표기 없이 타인의 저작물을 무단 복제 및 관련 없는 연구결과 조작 등이 한동안 세간의 주목을 이끌었다. 연구 분야에서 표절과 이의 대항 및 감소를 위해 다양한 도구들이 개발되었다. Pearson Spearman 본 연구에서는 코사인 유사성과 및 상관관계를 이용하는 파라미터 및 비 파라미터 방법을 이용하여 문장 유사성을 측정한다. Pearson 코사인 유사성과 상관관계는 가장 높은 유사성 계수를 얻었으나 Spearman 상관관계는 낮은 유사성 계수를 보여주었다. 본 논문에서는 정상성 가정과 편향성에 의존하는 파라미터 방법들에 반하도록 비정상성 가정으로 인한 문장 유사도를 측정하는 데 있어 비 파라미터 방법들을 사용하는 것을 제안한다.

MOD M NORMALITY OF ${\beta}-EXPANSIONS$

  • Ahn, Young-Ho
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제9권2호
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    • pp.91-97
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    • 2005
  • If ${\beta}\;>\;1$, then every non-negative number x has a ${\beta}-expansion$, i.e., $$x\;=\;{\epsilon}_0(x)\;+\;{\frac{\epsilon_1(x)}{\beta}}\;+\;{\frac{\epsilon_2(x)}{\beta}}\;+\;{\cdots}$$ where ${\epsilon}_0(x)\;=\;[x],\;{\epsilon}_1(x)\;=\;[\beta(x)],\;{\epsilon}_2(x)\;=\;[\beta(({\beta}x))]$, and so on ([x] denotes the integral part and (x) the fractional part of the real number x). Let T be a transformation on [0,1) defined by $x\;{\rightarrow}\;({\beta}x)$. It is well known that the relative frequency of $k\;{\in}\;\{0,\;1,\;{\cdots},\;[\beta]\}$ in ${\beta}-expansion$ of x is described by the T-invariant absolutely continuous measure ${\mu}_{\beta}$. In this paper, we show the mod M normality of the sequence $\{{\in}_n(x)\}$.

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A STUDY ON PROCESS CAPABILITY INDICES FOR NON-NORMAL DATA

  • Kwon Seungsoo;Park Sung H.;Xu Jichao
    • 한국품질경영학회:학술대회논문집
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    • 한국품질경영학회 1998년도 The 12th Asia Quality Management Symposium* Total Quality Management for Restoring Competitiveness
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    • pp.159-173
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    • 1998
  • Quality characteristics on the properties of process capability indices (PCIs) are often required to be normally distributed. But, if a characteristic is not normally distributed, serious errors can result from normal-based techniques. In this case, we may well consider the use of new PCIs specially designed to be robust for non-normality. In this paper, a newly proposed measure of process capability is introduced and compared with existing PCIs using the simulated non-normal data.

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Box-Cox변환을 이용한 다변량 공정능력 분석 (Analysis of Multivariate Process Capability Using Box-Cox Transformation)

  • 문혜진;정영배
    • 산업경영시스템학회지
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    • 제42권2호
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    • pp.18-27
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    • 2019
  • The process control methods based on the statistical analysis apply the analysis method or mathematical model under the assumption that the process characteristic is normally distributed. However, the distribution of data collected by the automatic measurement system in real time is often not followed by normal distribution. As the statistical analysis tools, the process capability index (PCI) has been used a lot as a measure of process capability analysis in the production site. However, PCI has been usually used without checking the normality test for the process data. Even though the normality assumption is violated, if the analysis method under the assumption of the normal distribution is performed, this will be an incorrect result and take a wrong action. When the normality assumption is violated, we can transform the non-normal data into the normal data by using an appropriate normal transformation method. There are various methods of the normal transformation. In this paper, we consider the Box-Cox transformation among them. Hence, the purpose of the study is to expand the analysis method for the multivariate process capability index using Box-Cox transformation. This study proposes the multivariate process capability index to be able to use according to both methodologies whether data is normally distributed or not. Through the computational examples, we compare and discuss the multivariate process capability index between before and after Box-Cox transformation when the process data is not normally distributed.

Similarity Measurement Between Titles and Abstracts Using Bijection Mapping and Phi-Correlation Coefficient

  • John N. Mlyahilu;Jong-Nam Kim
    • 융합신호처리학회논문지
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    • 제23권3호
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    • pp.143-149
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    • 2022
  • This excerpt delineates a quantitative measure of relationship between a research title and its respective abstract extracted from different journal articles documented through a Korean Citation Index (KCI) database published through various journals. In this paper, we propose a machine learning-based similarity metric that does not assume normality on dataset, realizes the imbalanced dataset problem, and zero-variance problem that affects most of the rule-based algorithms. The advantage of using this algorithm is that, it eliminates the limitations experienced by Pearson correlation coefficient (r) and additionally, it solves imbalanced dataset problem. A total of 107 journal articles collected from the database were used to develop a corpus with authors, year of publication, title, and an abstract per each. Based on the experimental results, the proposed algorithm achieved high correlation coefficient values compared to others which are cosine similarity, euclidean, and pearson correlation coefficients by scoring a maximum correlation of 1, whereas others had obtained non-a-number value to some experiments. With these results, we found that an effective title must have high correlation coefficient with the respective abstract.

경남소재 일개조선소 근로자의 건강이상소견과 아르곤 용접과의 관련성 (Association between Subjective Distress Symptoms and Argon Welding among Shipyard Workers in Gyeongnam Province)

  • 최우호;진성미;권덕헌;김장락;강윤식;정백근;박기수;황영실;홍대용
    • 한국산업보건학회지
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    • 제24권4호
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    • pp.547-555
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    • 2014
  • Objective: This study was conducted to investigate the association between subjective distress symptoms and argon welding among workers in Gyeongnam Province shipyard. Method: 31 argon and 29 non-argon welding workers were selected as study subjects in order to measure concentrations of personal dust, welding fumes and other hazardous materials such as ZnO, Pb, Cr, FeO, MnO, Cu, Ni, $TiO_2$, MgO, NO, $NO_2$, $O_3$, $O_2$, $CO_2$, CO and Ar. An interviewer-administered questionnaire survey was also performed on the same subjects. The items queried were as follows: age, height, weight, working duration, welding time, welding rod amounts used, drinking, smoking, and rate of subjective distress symptoms including headache and other symptoms such as fever, vomiting and nausea, metal fume fever, dizziness, tingling sensations, difficulty in breathing, memory loss, sleep disorders, emotional disturbance, hearing loss, hand tremors, visual impairment, neural abnormality, allergic reaction, runny nose and stuffiness, rhinitis, and suffocation. Statistical analysis was performed using SPSS software, version 18. Data are expressed as the mean ${\pm}SD$. An ${\chi}^2$-test and a normality test using a Shapiro wilk test were performed for the above variables. Logistic regression analysis was also conducted to identify the factors that affect the total score for subjective distress symptoms. Result: An association was shown between welding type (argon or non-argon welding) and the total score for subjective distress symptoms. Among the rate of complaining of subjective distress symptoms, vomiting and nausea, difficulty breathing, and allergic reactions were all significantly higher in the argon welding group. Only the concentration of dust and welding fumes was shown to be distributed normally after natural log transformation. According to logistic regression analysis, the correlations of working duration and welding type (argon or non-argon) between the total score of subjective distress symptoms were found to be statistically significant (p=0.041, p=0.049, respectively). Conclusion: Our results suggest that argon welding could cause subjective distress symptoms in shipyard workers.