• 제목/요약/키워드: Functional analysis

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기온 강수량 자료의 함수적 데이터 분석 (Functional Data Analysis of Temperature and Precipitation Data)

  • 강기훈;안홍세
    • 응용통계연구
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    • 제19권3호
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    • pp.431-445
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    • 2006
  • 본 연구는 함수적 데이터 분석의 몇 가지 이론에 대해 소개하고 분석 기법을 실제 자료에 적용하는 내용을 다루었다. 함수적 데이터 분석의 이론적 내용으로 기저를 이용해 자료를 함수적 데이터로 표현하는 방법, 그리고 함수적 데이터의 변동성을 조사하는 주성분분석, 선형모형 등에 대해 살펴보았다. 그리고 우리나라 기온 데이터와 강수량 데이터를 대상으로 각각 함수적 데이터 분석 기법을 적용해 보았다. 또한, 기온과 강수량 데이터에 대해 함수적 회귀모형을 적합시켜 두 변수간의 함수관계를 살펴보았다.

Exploring COVID-19 in mainland China during the lockdown of Wuhan via functional data analysis

  • Li, Xing;Zhang, Panpan;Feng, Qunqiang
    • Communications for Statistical Applications and Methods
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    • 제29권1호
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    • pp.103-125
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    • 2022
  • In this paper, we analyze the time series data of the case and death counts of COVID-19 that broke out in China in December, 2019. The study period is during the lockdown of Wuhan. We exploit functional data analysis methods to analyze the collected time series data. The analysis is divided into three parts. First, the functional principal component analysis is conducted to investigate the modes of variation. Second, we carry out the functional canonical correlation analysis to explore the relationship between confirmed and death cases. Finally, we utilize a clustering method based on the Expectation-Maximization (EM) algorithm to run the cluster analysis on the counts of confirmed cases, where the number of clusters is determined via a cross-validation approach. Besides, we compare the clustering results with some migration data available to the public.

Classification via principal differential analysis

  • Jang, Eunseong;Lim, Yaeji
    • Communications for Statistical Applications and Methods
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    • 제28권2호
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    • pp.135-150
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    • 2021
  • We propose principal differential analysis based classification methods. Computations of squared multiple correlation function (RSQ) and principal differential analysis (PDA) scores are reviewed; in addition, we combine principal differential analysis results with the logistic regression for binary classification. In the numerical study, we compare the principal differential analysis based classification methods with functional principal component analysis based classification. Various scenarios are considered in a simulation study, and principal differential analysis based classification methods classify the functional data well. Gene expression data is considered for real data analysis. We observe that the PDA score based method also performs well.

Functional hierarchical clustering using shape distance

  • Kyungmin Ahn
    • Communications for Statistical Applications and Methods
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    • 제31권5호
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    • pp.601-612
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    • 2024
  • A functional clustering analysis is a crucial machine learning technique in functional data analysis. Many functional clustering methods have been developed to enhance clustering performance. Moreover, due to the phase variability between functions, elastic functional clustering methods, such as applying the Fisher-Rao metric, which can manage phase variation during clustering, have been developed to improve model performance. However, aligning functions without considering the phase variation can distort functional information because phase variation can be a natural characteristic of functions. Hence, we propose a state-of-the-art functional hierarchical clustering that can manage phase and amplitude variations of functional data. This approach is based on the phase and amplitude separation method using the norm-preserving time warping of functions. Due to its invariance property, this representation provides robust variability for phase and amplitude components of functions and improves clustering performance compared to conventional functional hierarchical clustering models. We demonstrate this framework using simulated and real data.

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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도시형 자기부상열차의 기능분석을 이용한 사양간 추적성 도출 연구 (A Study to Derive Traceability between Specification by Using Functional Analysis in Case of Urban MAGLEV Train)

  • 정경렬;박철호;최준호;송선호
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2008년도 춘계학술대회 논문집
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    • pp.1880-1886
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    • 2008
  • Recently, a railroad system has a big and complicated structure of specification. Therefore, traceability between specification need to be identified for design change management and this is many engineer's concerns. Traceability means technical relationship. This is to trace other specification or component connect with relevant problem in case some problem should be examined. Traceability between functional specification can be proved through functional analysis essentially. This study will introduce an application method of functional analysis in the case of practical use project of MAGLEV train. And we propose the guide to identify traceability between function through functional analysis.

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실버 소비자의 라이프스타일이 건강기능식품 구매 만족도 및 재 구매 의도에 미치는 영향에 관한 연구 (A Study on Effect of Silver Consumer's Lifestyle on Purchase Satisfaction and Repurchase Intention of the Health Functional Foods)

  • 최수일;곽종형
    • 한국식품영양학회지
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    • 제20권3호
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    • pp.334-340
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    • 2007
  • The purpose of this study is to analyze silver consumers' life style, and whether silver consumers ’ life style have an effect on purchase satisfaction and repurchase intention of the health functional foods. To this end, a survey was conducted from May 28 to June 20 in 2007, among silver consumer aged in over 50s, on their purchase experience of the health functional foods. The survey was conducted with 326 subjects, and the statistical analysis methods were frequency analysis, factor analysis, and multiple regression analysis. According to the result of this study, First, the silver consumers' life style factors were determined to be health and leisure pursuit, material pursuit, family pursuit, and outgoing challenge pursuit. And purchase satisfaction factors of the health functional foods were determined to be taking after dosage and service, function and purchase, appearance of health functional foods. Second, silver consumers' family pursuit life style and outgoing challenge life style had an effect on taking and service satisfaction, appearance and products satisfaction of the health functional foods. Third, purchase satisfaction had an effect on repurchase intention of the health functional foods. Therefore, this study is significant in that it clarifies the relation of silver consumers' life style and purchase satisfaction and repurchase intention of the health functional foods.

시스템 엔지니어링 툴을 이용한 경량전철의 상위시스템 기능분석 연구 (A Study on the Top Level Functional Analysis for the Automated Guideway Transit Used by System Engineering Tool)

  • 이우동
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2002년도 추계학술대회 논문집(I)
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    • pp.202-207
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    • 2002
  • The rubber type AGT system is operated by driverless that signaling is CBTC type. The system function is acomplished exactly to obtain the safety and reliability of system and the system is designed to minimize risk. In order to design the system, the functional analysis is performed. Recently functional analysis is performed by RDD-100 which is used and verified by aerospace, military, etc. Therefore, The design tool RDD-100 is used to perform functional analysis in AGT system development project.

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인간 뇌의 형태적 및 기능적 분석을 위한 의료영상 처리시스템 (Medical Image Processing System for Morphometric and Functional Analysis of a Human Brain)

  • 김태우
    • 한국정보처리학회논문지
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    • 제7권3호
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    • pp.977-991
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    • 2000
  • In this paper, a medical image processing system was designed and implemented for morphometric and functional analysis of a human brain. The system is composed of image registration, ROI(region of interest) analysis, functional analysis, image visualization, 3D medical image database management system(DBMS), and database. The software processes an anatomical and functional image as input data, and provides visual and quantitative results. Input data and intermediate or final output data are stored to the database as several data types by the DBMS for other further image processing. In the experiment, the ROI analysis, for a normal, a tumor, a Parkinson's decease, and a depression case, showed that the system is useful for morphometric and functional analysis of a human brain.

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전산지원도구를 이용한 자동열차제어장치의 기능분석 연구 (The Functional Analysis of Automatic Train Operation(ATO) used by System Engineering Design Tool)

  • 이우동
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 추계학술대회 논문집 전기기기 및 에너지변환시스템부문
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    • pp.299-301
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    • 2005
  • The urban transit system is operated by driverless and automatic.In driverless and automatic system, the system function is accomplished exactly to obtain the safety and reliability of system and the system is designed to minimize risk. In order to design the system, the functional analysis is performed. Recently functional analysis is performed by design toolwhich is used and verified by aerospace, military, etc. Generally, the design tool is used to perform functional analysis in urban transit system development project. The design toolassist the system engineer to analysis the function of system in basic design. Therefore, In this paper, it is performed the functional analysis to satisfy the system requirement of urban transit system and to confirm the operation of system using design tool.

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