• 제목/요약/키워드: functional data analysis

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Principal component analysis for Hilbertian functional data

  • Kim, Dongwoo;Lee, Young Kyung;Park, Byeong U.
    • Communications for Statistical Applications and Methods
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    • 제27권1호
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    • pp.149-161
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    • 2020
  • In this paper we extend the functional principal component analysis for real-valued random functions to the case of Hilbert-space-valued functional random objects. For this, we introduce an autocovariance operator acting on the space of real-valued functions. We establish an eigendecomposition of the autocovariance operator and a Karuhnen-Loève expansion. We propose the estimators of the eigenfunctions and the functional principal component scores, and investigate the rates of convergence of the estimators to their targets. We detail the implementation of the methodology for the cases of compositional vectors and density functions, and illustrate the method by analyzing time-varying population composition data. We also discuss an extension of the methodology to multivariate cases and develop the corresponding theory.

기능분석을 이용한 항공기 설계요구의 할당 및 추적에 관한 연구 (A Study on the Requirements Allocation and Tracking by Implementing Functional Analysis)

  • 이재우
    • 한국군사과학기술학회지
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    • 제2권2호
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    • pp.52-60
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    • 1999
  • By implementing the Systems Engineering process for the aircraft preliminary design, functional analysis study is performed, hence Functional Interface Data Flow(FIDF) and Functional Flow Block Diagram(FFBD) are generated. Based on FIDF and FFBD, allocable and non-allocable design/performance/RM&S requirements are allocated to the appropriate levels. Weight and cost tracking and design margin management methodologies are studied and implemented for the balanced aircraft design.

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함수형 선형모형에서의 B-스플라인에 기초한 검정 (Classical testing based on B-splines in functional linear models)

  • 손지훈;이은령
    • 응용통계연구
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    • 제32권4호
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    • pp.607-618
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    • 2019
  • 현대 과학기술의 발전으로 인해 함수 형태의 자료(functional data)는 기상학, 생물의학과 다양한 분야에서 발생하고 있으며 이러한 자료를 분석하는 것은 새롭고 흥미로운 통계과제라 할 수 있다. 스칼라 반응변수를 가진 함수형 선형회귀 모형(functional linear regression models with scalar response)은 널리 사용되는 함수형 자료 분석기법 중의 하나라 할 수 있고 이 회귀 모형에서 함수형 자료 (설명변수) 가 스칼라 반응변수에 영향력을 미치는지 검정하는 것은 중요한 문제라 할 수 있다. 최근, Kong 등은 함수형 주성분분석(functional principle component analysis)에 의한 차원 축소, 즉, 함수형 주성분분석 결과 얻어지는 고유함수(eigenfunctions)를 활용한 검정방법을 제안했다. 하지만, 그 고유함수들은 검정문제에서 관심사인 함수형 설명변수와 스칼라 반응변수의 연관성이 아니라 함수형 설명변수의 변동만을 고려하기 때문에 회귀문제에 사용하기에 일반적으로 적합한 기저가 아니다. 게다가, 자료로부터 추정하여야 하기 때문에 이 불필요한 추정오차가 검정 절차 성능에 포함될 가능성이 있다. 이러한 단점을 피하기 위해 본 논문에서는 기존의 고유기저함수가 아닌 고정기저(fixed basis)인 B-스플라인(B-splines) 함수를 활용한 검정 방법을 제안한고 모의실험을 통해 검정방법이 잘 작동한다는 것을 보여준다. 또한, 제안한 검정 방법은 B-스플라인의 국소화 성질 때문에 때론 효율적이고 직관적인 결과를 제공하는데 이를 모의실험과 실증자료 분석을 통해 보여줄 것이다.

실버세대를 위한 기능성의류 개발실태 - 기능성제품 특허분석을 중심으로 - (Actual Conditions of Functional Clothing development for the Elderly - Based on Patent Analysis of Functional Products -)

  • 정희경;이정란
    • 한국의류산업학회지
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    • 제16권6호
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    • pp.971-978
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    • 2014
  • This study investigates the developmental conditions of functional clothes for the elderly. First, preceding studies and relevant web sites were analyzed along with a survey of commercial functional elderly clothes in Korea. A KIPRIS patent information database was used to study registered and disclosed patents and utility models in order to analyze patent application trends in relevant fields. Patents were searched by year of application from 1990 to 2013. Keywords used for searching included 'senior, aged, and elderly'. Among collected data, overlapping and irrelevant data were excluded to select 162 cases for analysis. Details of analysis are annual patent application trends of functional elderly clothes, topic analysis, shape and characteristics. An examination of commercially available functional clothing products for the elderly indicated that most of products were developed in the form of inner wear or protective clothing for seniors who have bodily discomfort. An annual patent application of functional elderly clothes showed slight fluctuations; however, there was an overall increase. For patent topics, technologies related to secretion and excretion were the most at 47 cases total (29%), followed by 23 cases (14%) on biometric information technology. However, the development of relevant technologies seems necessary in the future as therapeutic function and fiber technologies gradually stagnate.

Mutual Fund 수익률의 비정상 함수형 시그널을 위한 다해상도 클러스터 계층구조 (Multi-scale Cluster Hierarchy for Non-stationary Functional Signals of Mutual Fund Returns)

  • 김대룡;정욱
    • 경영과학
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    • 제24권2호
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    • pp.57-72
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    • 2007
  • Many Applications of scientific research have coupled with functional data signal clustering techniques to discover novel characteristics that can be used for the diagnoses of several issues. In this article we present an interpretable multi-scale cluster hierarchy framework for clustering functional data using its multi-aspect frequency information. The suggested method focuses on how to effectively select transformed features/variables in unsupervised manner so that finally reduce the data dimension and achieve the multi-purposed clustering. Specially, we apply our suggested method to mutual fund returns and make superior-performing funds group based on different aspects such as global patterns, seasonal variations, levels of noise, and their combinations. To promise our method producing a quality cluster hierarchy, we give some empirical results under the simulation study and a set of real life data. This research will contribute to financial market analysis and flexibly fit to other research fields with clustering purposes.

고품질 기능성 물질의 품질관리를 위한 전자코 응용 (Application of Electronic Nose for Quality Control of The High Quality and Functional Components)

  • 노봉수
    • 한국작물학회:학술대회논문집
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    • 한국작물학회 2006년도 한국약용작물학회 공동춘계학술발표회
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    • pp.40-54
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    • 2006
  • It's not easy to detect the high quality and functional compounds for control quality of food materials. The electronic nose was an instrument, which comprised of an array of electronic chemical sensors with partial specificity and an appropriate pattern recognition system, capable of recognizing simple or complex odors. It can conduct fast analysis and provide simple and straightforward results and is best suited for quality control and process monitoring in the field of functional foods. Numbers of applications of an electronic nose in the functional food industry include discrimination of habitats for medicinal food materials, monitoring storage process, lipid oxidation, and quality control of food and/or processing with principal component analysis, neural network analysis and the electronic nose based on GC-SAW sensor. The electronic nose would be possibly useful for a wide variety of quality control in the functional food and plant cultivation when correlating traditional analytical instrumental data with sensory evaluation results or electronic nose data.

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기능성 화장품의 변화 양상과 사용 실태 분석 (Analysis on the Changes and the Using Condition of Functional Cosmetics)

  • 한덕희;박길순
    • 복식문화연구
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    • 제14권6호
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    • pp.1056-1068
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    • 2006
  • The purpose of this study is to examine the changes and the using condition of functional cosmetics through articles of newspaper and the survey on functional cosmetics. The data analysis examined newspaper articles that demonstrate a grasp of the general trends of cosmetics, and these articles were chosen from the "Cosmetics Newspapers" and the "Jangeop Newspaper" with content primarily emphasizing articles about cosmetics. All articles on functional cosmetics were collected for the period from 2000 to 2005, and excluding repeated articles a total of 703 cases were examined. In addition, a survey was performed to examine how much women are using functional cosmetics and what the current state of their use is. This survey was conducted from October $1{\sim}20$, 2004, and respondents consisted of 350 adult females living in the areas of Daejeon, North and South Chungcheong Provinces and Daegu. Responses from a total of 302 individuals were included in the data analysis. The results of this study show a situation where the current use of functional cosmetics is gradually increasing, and because of external changes in the skin resulting from the development of modern society, functional cosmetics are being used by women as a means of increasing their opportunities for personal expression due to their skin improvement effects as well as increased confidence and a sense of satisfaction.

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Computational analysis of large-scale genome expression data

  • Zhang, Michael
    • 한국생물정보학회:학술대회논문집
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    • 한국생물정보시스템생물학회 2000년도 International Symposium on Bioinformatics
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    • pp.41-44
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    • 2000
  • With the advent of DNA microarray and "chip" technologies, gene expression in an organism can be monitored on a genomic scale, allowing the transcription levels of many genes to be measured simultaneously. Functional interpretation of massive expression data and linking such data to DNA sequences have become the new challenges to bioinformatics. I will us yeast cell cycle expression data analysis as an example to demonstrate how special database and computational methods may be used for extracting functional information, I will also briefly describe a novel clustering algorithm which has been applied to the cell cycle data.

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한국 일부 농촌지역 노인의 생활기능상태 결정요인의 구조적 관계 연구 (A Structural Relational Analysis of the Determinants of Functional Status in Korean Rural Elderly People)

  • 공은숙
    • 대한간호학회지
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    • 제28권2호
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    • pp.380-391
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    • 1998
  • This study was conducted to develop a theoretical model for the determinants of activities of daily living in Korean rural elderly people. The theoretical model was derived from Lawton's Ecological Model to explain human behavior. The model includes determinant variables for functional status such as age, sex, physical status, cognitive status, physical environment, social environment, and depression. Data for this study was collected from 189 elderly people in a rural district near Chonju City. The data was analyzed with SPSS PC/sup +/4.1 and LISREL 8. The analysis of the data showed that the first proposed theoretical model did not fit the collected data well. In order to increase the fit of the model to the data, the model was modified by deleting the exogenous variables of sex, physical environment, and social environment. The fit of the modified model to the data was increased and was move suitable. The results of this study show that the determinants of the activities of Korean rural elderly people were age, perceived physical condition, cognitive status, and depressional status. Age has a significant direct and indirect effect on the activities of daily living of rural elderly people. Perceived physical condition has a significant indirect effect through depression on activities of daily living. Cognitive status also has a significant indirect effect through depression on functional status. Depression has a significant direct effect on the functional status. Physical environment and social environment showed reversal relationships to functional status. In conclusion, the results of this study show that personal characteristic factors are more important than environmental characteristic factors for functional status of elderly people. However, the importance of depression to functional status in Korean rural elderly people and the reverse relationship between social environment and functional status, reflect Korean specificity. Korean nursing needs to focus more on this Korean specificity in order to develop nursing knowledge and practice appropriate to Korean people.

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A study on functional cosmetics purchasing behavior and satisfaction based on psychological characteristics post-COVID-19

  • Jang, Min-ah;Lee, Jung Min
    • International Journal of Advanced Culture Technology
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    • 제10권3호
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    • pp.313-324
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    • 2022
  • This study aims to quantitatively understand the influence of changes in functional cosmetics purchasing sentiment on purchasing behavior and purchase satisfaction after the COVID-19 pandemic and present empirical analysis results regarding the rapidly changing cosmetics consumption market. This study empirically analyzed the structural relationship between non-face-to-face service purchase behavior, functional cosmetics purchase behavior, and functional cosmetics purchase satisfaction to predict purchase behavior of functional cosmetics by psychological characteristics after COVID-19. The collected data were analyzed using SPSS 22.0 (Statistical Package for Social Science) program and Amos 21.0, and correlation analysis was performed to understand the relationship between consumers' purchasing behaviors of functional cosmetics according to their perception of risk of COVID-19 carried out.Summarizing the results of this study, it was found that the higher the anxiety after the corona outbreak, the higher the non-face-to-face service purchase behavior and the functional cosmetics purchase behavior. It was found that purchase satisfaction increased when purchasing behavior of functional cosmetics increased, but purchase satisfaction decreased as anxiety increased after the outbreak of Corona.In this study, a sample of 1452 people were used as research data, and the theoretical implications for the development of functional cosmetics were presented by confirming the effect of changes in non-face-to-face service purchase behavior according to psychological characteristics after Corona 19 on consumer satisfaction.