• Title/Summary/Keyword: dimension

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Effect of Dimension in Optimal Dimension Reduction Estimation for Conditional Mean Multivariate Regression (다변량회귀 조건부 평균모형에 대한 최적 차원축소 방법에서 차원수가 결과에 미치는 영향)

  • Seo, Eun-Kyoung;Park, Chong-Sun
    • Communications for Statistical Applications and Methods
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    • v.19 no.1
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    • pp.107-115
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    • 2012
  • Yoo and Cook (2007) developed an optimal sufficient dimension reduction methodology for the conditional mean in multivariate regression and it is known that their method is asymptotically optimal and its test statistic has a chi-squared distribution asymptotically under the null hypothesis. To check the effect of dimension used in estimation on regression coefficients and the explanatory power of the conditional mean model in multivariate regression, we applied their method to several simulated data sets with various dimensions. A small simulation study showed that it is quite helpful to search for an appropriate dimension for a given data set if we use the asymptotic test for the dimension as well as results from the estimation with several dimensions simultaneously.

A Review of the Applicability of The Fractal Dimension of Grain Size Distribution for a Analysis of Submarine Sedimentary Environments (프랙탈 차원을 이용한 해저 퇴적환경 분석 적용성 검토)

  • Noh, Soo-Kack;Son, Young-Hwan;Bong, Tae-Ho;Park, Jae-Sung
    • Journal of The Korean Society of Agricultural Engineers
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    • v.53 no.6
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    • pp.43-50
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    • 2011
  • The fractal method has recently been applied to a model for determining soil grain size distribution. The objective of this study is to review the applicability of the fractal method for a analysis of submarine sedimentary environments by comparing fractal constants with grain size statistical analysis for the soil samples of Pohang (PH) and Namhae (NH). The y-interception of log (grain size)-log (passing) equation was also used because grain size distribution couldn't be expressed with fractal dimension only. The result of comparison between fractal constants (dimension, y-interception) and grain size statistical indices, the fractal dimension was directly proportional to the mean and the sorting. And the y-interception showed high correlation with the mean. The fractal dimension and y-interception didn't show significant correlation with the skewness and the kurtosis. Thus regression equations between fractal constants and two statistical indices (mean, sorting) were derived. All classifications of the mean and the sorting could be determined using the regression equation based on the fractal dimension and y-interception. Therefore, fractal constants could be used as an alternative index representing the sedimentary environments instead of the mean and sorting.

Design of 2-D Separable Denominator Digital Filters based on the reduced Dimension Decomposition of Frequency Domain Specification (주파수영역 설계명세조건의 저차원분해를 이용한 2차원 디지털 필터의 설계)

  • 문용선
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.5 no.7
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    • pp.1346-1353
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    • 2001
  • This paper presents an algorithm for the design of 2 dimension separable denominator digital filter(SDDF). The proposed algorithm is based on the reduced dimensional decomposition not only 2 dimension SDDF's but also of given 2 dimension specification. The frequency domain design of 2 dimension separable denominator digital filters based on the reduced dimensional decomposition can be realized when the given 2 dimension frequency specification are optimally decomposed into a pair of 1 dimension digital filter specification via singular value decomposition. the algorithm is computationally efficient and numerically stable. In case of the low pass filter, the approximation error of the proposed design algorithm is $e_{m}$=5.17, $e_{r1}$ =8.78, $e_{r2}$=7.34, while in case of band pass filter, the approximation error is $e_{m}$=13.00, $e_{r1}$=62.76, $e_{r2}$=62.7676.7676

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Structural Analysis of Consumption Emotions on Apparel Products (의류제품의 소비감정에 대한 구조 분석)

  • 박은주;소귀숙
    • The Research Journal of the Costume Culture
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    • v.11 no.2
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    • pp.219-230
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    • 2003
  • The purpose of this study was to analyze the structure of consumption emotions that consumers experienced in the process of consuming apparel products. Data was collected from 144 female college students living in Busan, and analyzed by salience, diversity, H-index, Clamor's V, and multi-dimensional scaling. The results showed as following; 1. The consumption emotions related to apparel products appeared three dimensions; ‘Relaxed-tense’ dimension, ‘Pleasant-unpleasant’ dimension, and ‘Outward-inward’ dimension. Considering elements of consumption system, the dimensions of consumption emotions in relation to apparel performances were 'Pleasant-unpleasant' and ‘Outward-inward’. The dimensions of consumption emotions experienced in usage situations were ‘Relaxed-tense’ and ‘pleasant-unpleasant’. The consumption emotions related to specific products were composed of ‘Pleasant-unpleasant’ dimension and ‘Outward-inward’ dimension. 2. As the multi-dimension map of this study has much space, it suggested that the scope of consumption emotions related to apparel products was more limited than those related to general situations and products. 3. The structure of consumption emotions in relation to apparel performances appeared to be bisected, while those related to usage situations showed relatively to be dispersed. 4. Although Pleasant-unpleasant dimension was consistent with results of prestudies, the dimensions of ‘Relaxed-tense’ and ‘Outward-inward’ were newly confirmed as the dimensions of consumption emotions related to apparel products. Therefore, consumer's consumption emotions of apparel products were composed of three dimensions, tended to be more limited than those of general consumption situations and products, and differentiated across apparel performances, usage situation, and specific products.

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The Importance and Categorization of Task Elements of School Food Service Dietician (학교급식 영양사의 업무 중요도 및 임무차원 분석)

  • 이영은;양일선;차진아
    • Journal of Nutrition and Health
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    • v.35 no.6
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    • pp.668-680
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    • 2002
  • The purpose of this study was to investigation the importance and categorization of task elements of school food service dietician and to provide the useful data for standard model of the dietician′s tasks of school foodservice. This study was conducted in school food services nationwide in method of written questionnaire. The questionnaires were mailed to the dieticians of 3 type school foodservice system-conventional, commissary, joint management. Of the 660 schools that participated in this study, the responses from 212 conventional system and 212 commissary system and 200 joint management system were selected for analysis. Statistical analysis was performed with SAS/Win 6.12 package program for descriptive analysis, T-test, ANOVA, factor analysis using. The main results of this study can be summarized as follows Importance level was more than 4 score out of 5 scale in most of the task elements. The result was indicative of the appropriateness of definition of the 61 task elements. Of 61 task elements, importance level on ′nutrition education′ and on ′evaluation of foodservice operation management′ indicated the most significant difference between present and ideal situation. Through factor analysis, 61 task elements were regrouped into 7 dimensions; "Duty dimension of cooking and distribution management", "Duty dimension of cost management", "Duty dimension of raw material management", "Duty dimension of education management", "Duty dimension of menu management", "Duty dimension of record keeping of foodservice", "Duty dimension of general management (others)".

The Text Analysis of Plasticity Expressed in the Modern Art to Wear (Part I) - Focused on the West Art Works since 1980s - (현대 예술의상에 표현된 조형성의 텍스트 분석 (제1보) - 1980년대 이후 서구작가 작품을 중심으로 -)

  • Seo Seung Mi;Yang Sook Hi
    • Journal of the Korean Society of Clothing and Textiles
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    • v.29 no.6
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    • pp.793-804
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    • 2005
  • The new paradigm of the 21st century demand an openly different world of formative ideologies in respect to art and design. The purpose of this study is focused on trying to comprehend aesthetic essence of clothing as an, with the investigation of artistic theories manifested by art philosophers. Art to Wear was categorized into style to understand its artistic meaning as well as to analyze its character. Upon the foundation of semiotics theory, the feature of Art to Wear and its analysis category were argued in the context of Charles Morris three dimension of semiotics analysis. The conclusion to the research is like so. The feature and analysis category of Art to Wear upon a semiotics perspective was divided into syntactic dimension, semantic dimension and pragmatic dimension. The analytical categorization upon the perspective of syntactic dimension fell into the category of topology, shape and color. The semantic dimension of Art to Wear was divided into categories of denotation and connotation. In addition, the pragmatic dimension of Art to Wear analytical categorization was divided into a delivering function and common function.

Study on the comparison topographical factor with slope stability using fractal dimension and surface area index (프랙탈 차원과 표면적 지수를 이용한 지형인자와 사면안정성 비교 연구)

  • Noh, Soo-Kack;Chang, Pyoung-Wuck;Cha, Kyung-Seob
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 2005.10a
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    • pp.387-392
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    • 2005
  • The research was performed to predict the potential landslide with roughness index. It was known that fractal dimension and surface area index can be represented the topography, specially when the natural slopes were rough or rugged. A test site was selected and fractal dimension and surface area index were calculated from the irregular triangle network. Fractal dimension were ranged between $2.016{\sim}2.046$ and surface area index $1.56E+07{\sim}2.59E+07$. Surface area index increased as fractal dimension increased. Slope stability was calculated by infinite slope stability analysis model and was compared to slope stability by fractal and surface area index. In the result, unsafe zones where slope stability is under 1.1 were $5.11{\sim}6.25%$ for the test site. It can be said that fractal dimension and surface area index are a good index to evaluate the slope stability because when fractal dimension and surface area index are greater, then stability of the site is more unsafe.

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A Proposition of the Fuzzy Correlation Dimension for Speaker Recognition (화자인식을 위한 퍼지상관차원 제안)

  • Yoo, Byong-Wook;Kim, Chang-Seok;Park, Hyun-Sook
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.1
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    • pp.115-122
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    • 1999
  • In this paper, we confirmed that a speech signal is a chaos signal, and in order to use it as a speaker recognition parameter, analyzed chaos dimension. In order to raise speaker identification and pattern recognition, by making up the strange attractor involving an individual's vocal tract characteristics very well and applying fuzzy membership function to correlation dimension, we proposed fuzzy correlation dimension. By estimating the correlation of the points making up an attractor are limited according space dimension value, fuzzy correlation dimension absorbed the variation of the reference pattern attractor and test pattern attractor. Concerning fuzzy correlation dimension, by estimating the distance according to the average value of discrimination error per each speaker and reference pattern, investigated the validity of speaker recognition parameter.

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DR-LSTM: Dimension reduction based deep learning approach to predict stock price

  • Ah-ram Lee;Jae Youn Ahn;Ji Eun Choi;Kyongwon Kim
    • Communications for Statistical Applications and Methods
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    • v.31 no.2
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    • pp.213-234
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    • 2024
  • In recent decades, increasing research attention has been directed toward predicting the price of stocks in financial markets using deep learning methods. For instance, recurrent neural network (RNN) is known to be competitive for datasets with time-series data. Long short term memory (LSTM) further improves RNN by providing an alternative approach to the gradient loss problem. LSTM has its own advantage in predictive accuracy by retaining memory for a longer time. In this paper, we combine both supervised and unsupervised dimension reduction methods with LSTM to enhance the forecasting performance and refer to this as a dimension reduction based LSTM (DR-LSTM) approach. For a supervised dimension reduction method, we use methods such as sliced inverse regression (SIR), sparse SIR, and kernel SIR. Furthermore, principal component analysis (PCA), sparse PCA, and kernel PCA are used as unsupervised dimension reduction methods. Using datasets of real stock market index (S&P 500, STOXX Europe 600, and KOSPI), we present a comparative study on predictive accuracy between six DR-LSTM methods and time series modeling.

Hausdorff dimension of some sub-similar sets

  • Kim, Tae-Sik
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.397-408
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    • 1998
  • We often use the Hausdorff dimension as a tool of measuring how complicate the fractal is. But it is usually very difficult to calculate that value. So there have been many tries to find the dimension of the given set and most of these are related to the density theorem of invariant measure. The aims of this paper are to introduce the k-irreducible subsimilar sets as a generalization of the set defined by V.Drobot and J.Turner in ([1]) and calculate their Hausdorff dimensions by using algebraic methods.

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