• Speech Sciences
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• v.4 no.2
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• pp.25-39
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• 1998

This paper deals with fuzzy correlation dimension for an appropriate speech recognition. The proposed fuzzy correlation dimension has absorbed time variation value of strange attractor as utilizing fuzzy membership function at calculation of integral correlation when the results of proposed dimension are applied to speech recognition fuzzed correlation dimension is superior to speech recognition, and correlation dimension is superior to speaker discrimination.

• Communications for Statistical Applications and Methods
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• v.25 no.5
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• pp.513-521
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• 2018

The goal of sufficient dimension reduction (SDR) is to replace original p-dimensional predictors with a lower-dimensional linearly transformed predictor. The sliced inverse regression (SIR) (Li, Journal of the American Statistical Association, 86, 316-342, 1991) is one of the most popular SDR methods because of its applicability and simple implementation in practice. However, SIR may yield different dimension reduction results for different numbers of slices and despite its popularity, is a clear deficit for SIR. To overcome this, a fused sliced inverse regression was recently proposed. The study shows that the dimension-reduced predictors is robust to the numbers of the slices, but it does not investigate how robust its dimension determination is. This paper suggests a permutation dimension determination for the fused sliced inverse regression that is compared with SIR to investigate the robustness to the numbers of slices in the dimension determination. Numerical studies confirm this and a real data example is presented.

• IE interfaces
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• v.16 no.3
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• pp.344-351
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• 2003

Critical dimension is one of the most important characteristics of up-to-date integrated circuit devices. Hence, critical dimension control in a semiconductor wafer fabrication process is inevitable in order to achieve optimum device yield as well as electrically specified functions. Currently, in complex semiconductor wafer fabrication processes, statistical methodologies such as Shewhart-type control charts become crucial tools for practitioners. Meanwhile, given a critical dimension sampling plan, the analysis of variance technique can be more effective to investigating critical dimension variation, especially for on-chip and on-wafer variation. In this paper, relating to a typical sampling plan, linear statistical models are presented for the analysis of critical dimension variation. A case study is illustrated regarding a semiconductor wafer fabrication process.

• Bulletin of the Korean Mathematical Society
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• v.41 no.1
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• pp.13-18
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• 2004

We defined Cantor dimensions of a perturbed Cantor set, and investigated a relation between these dimensions and Hausdorff and packing dimensions of a perturbed Cantor set. In this paper, we introduce another expressions of the Cantor dimensions. Using these, we study some informations which can be derived from power equations induced from contraction ratios of a perturbed Cantor set to give its Hausdorff or packing dimension. This application to a deranged Cantor set gives us an estimation of its Hausdorff and packing dimensions, which is a generalization of the Cantor dimension theorem.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.15 no.2
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• pp.522-539
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• 2021

In order to solve the problems of the existing audio fingerprint method when extracting audio fingerprints from long speech segments, such as too large fingerprint dimension, poor robustness, and low retrieval accuracy and efficiency, a robust audio fingerprint retrieval method based on feature dimension reduction and feature combination is proposed. Firstly, the Mel-frequency cepstral coefficient (MFCC) and linear prediction cepstrum coefficient (LPCC) of the original speech are extracted respectively, and the MFCC feature matrix and LPCC feature matrix are combined. Secondly, the feature dimension reduction method based on information entropy is used for column dimension reduction, and the feature matrix after dimension reduction is used for row dimension reduction based on energy feature dimension reduction method. Finally, the audio fingerprint is constructed by using the feature combination matrix after dimension reduction. When speech's user retrieval, the normalized Hamming distance algorithm is used for matching retrieval. Experiment results show that the proposed method has smaller audio fingerprint dimension and better robustness for long speech segments, and has higher retrieval efficiency while maintaining a higher recall rate and precision rate.

• Journal of the Korean Institute of Telematics and Electronics S
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• v.34S no.11
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• pp.114-125
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• 1997

This paper presents a method that automatically recognizes dimension sets from the mechanical drawings, and that classifies 6 types dimension sets according to functional purpose. In the proposed method, the object and closed-loop symbols are separated from the character-free drawings. Then object lines and interpretation lines are vectorized. And, after recognizing dimension sets(consistings of arrowhead, shape line, tail lines, extension lines, text-string, and feature control frame), we classify recognized dimension sets as horizontal, vertical, angular, diametral, radial, and leader dimension sets. Finally the proposed method converts classified dimension sets into AutoCAD data by using AutoLisp language. By using the methods of geometric modeling, the proposed method readily recognized and classifies dimension sets from complex drawings. Experimetnal results are presented, which are obtained by applying the proposed method to drawings drawn in compliance with the KS drafting standard.

• Journal of Fashion Business
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• v.22 no.1
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• pp.135-147
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• 2018

Since the 20th century, there has been a growing interest in the new concept of fractals, a combination of mathematics and art, and the attempt to study the creative spatial aspects of the concept is being made. The purpose of this research is to examine artistic characteristics of fractal dimension and then analyze the types of fractal dimensions expressed in the fashion. Previous literature on fractals and dimension, and visual data on art and fashion collected over the Internet were used for analysis. Fractal dimension refers to the spatial concept of structural dimension of geometrical self-similarity. An analysis of the types of fractals seen in fashion revealed spatial expansion, the repetition in continual figures, superposition accordant to different sizes, and shades of different shapes. The aesthetic characteristics of fractal dimension appearing in fashions were examined based on analyses of fractal dimension types; the inherent characteristics of self-similarity, superimposition, and atypicality were found. Results obtained from this study are expected to be used as basic materials for the application of the design of fractal dimension into various perspectives of fashion.

• Communications of the Korean Mathematical Society
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• v.39 no.2
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• pp.303-311
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• 2024

In this paper, our focus lies in exploring the concept of Cohen-Macaulay dimension within the category of homologically finite complexes. We prove that over a local ring (R, 𝔪), any homologically finite complex X with a finite Cohen-Macaulay dimension possesses a finite CM-resolution. This means that there exists a bounded complex G of finitely generated R-modules, such that G is isomorphic to X and each nonzero G_i within the complex G has zero Cohen-Macaulay dimension.

• Journal of the Korean Society of Costume
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• v.39
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• pp.283-299
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• 1998

The present study is to analyze the dimensions of affective responses according to the types of appeal in underwear advertisements and to find out the influences of affective res-ponses on the attitudes toward advertisement and brands. The research has been made by normative-descriptive survey method with the sample of 654 consumers residing in Seoul and Incheon. The data gaathered was analyzed by the methods of means, standard deviation, ANOVA, factor analysis and regression. The result are as follows : 1. There are 4 dimensions of affective responses ; Emotional dimension, Negative dimen-sion, Upbeat-activation dimension and Sexual activation dimension. 2. Affective responses to the advertising were different according to the characteristics of the consumers. According to the consumer's sex, there are significant differences in each dimension of their affective responses. To the sex appeal advertisement, man show higher degree of affective responses in Emotional, Upbeat-activation and Sexual-activation dim-ensions, while women show higher degree of affective responses in Negative dimension. 3. In case of female consumers, there are significant differences in affective responses to the both appeal type of advertisements according to consumer's age. As the age is increasing. Emotional dimension and Sexual-activation dimension are increasing, but Negative dimension is decreasing in the Ads with sex appeal. In particular, the 19∼24s age group shows strong responses in the Emotional dimension, Upbeat-activation dimension and Sexual-activation dimension to Ads with sex appeal, while it shows the lowest affective responses in Negative dimension. It represents the 19-24s age group is the most positive one to the under-wear advertisements with sex appeal. Consequently, it is proved that the Ads with sex appeal focusing on this age group can be one of the most effective advertising plans. 4. The involvement gets higher, Upbeat-ac-tivation dimension and Sexual-activation dimension are increasing both in males and female groups. But Negative dimension is in-creasing in the female consumer group of low involvement. 5. The attitudes toward advertisements and brands are comparatively stronger in the advertisements using sex appeal type. Regardless of types of appeal in the advertisements, there is a significant difference in their attitudes tow-ard Ads between male and female consumer groups. When Ads are sexual, attitudes toward Ads and Brands are stronger in the female consumer group. But males consumers show com-paratively strong attitudes toward the advertis-ements and brands in both types of appeal. 6. The age of consumers doesn't make any significant difference in their attitudes toward advertisements and brands in both types of appeal. 7. According to the involvement level of the consumers, there are significant differences in their attitudes toward advertisements. In the groups of low involvement, the female consumers show more favorite attitudes toward the advertisements with sex appeal, while the male group show more favorite attitudes toward the non-sex appeal advertisement. But there is no significant difference in consumer's attitude toward brands according to the types of appeal of the advertisement. 8. The affective responses of the consumers caused by the underwear advertisements have a respectable influence on their attitudes toward the advertisements and brands. This research represents that the advertisers should try to arise consumer's positive affective responses such as pleasant, happy, cheerful and warm-hearted emotions by the advertisements. Based on the above results of the research, it can be said that the consumer's affective responses have a strong effect not only on their attitudes toward adver-tisements but on those toward attitude toward the brands.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 1997.04a
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• pp.1083-1087
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• 1997

End milling is available for machining the variable shape of products and has brrn widely applied in many Manufacturing industries. The surface finish of machined parts determines quality and functionality of products. Surface roughness causes friction,noise,fracture, glossiness and seizure, so many research had been performed to precisely. In particular an experimental analysis was carried out to investigate the influence ofsurface roughness on the fractal dimension. This parameter was assumed to contain not only information of roughness but also extra meaning. Experiments which were performed under various cutting conditions to compare fractal dimension with surface roughness R /sab a/ show fractal dimension to be useful parameter for determining of roughness.