• Communications for Statistical Applications and Methods
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• 제15권2호
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• pp.265-271
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• 2008

It is commonly believed that diseases of human or economic traits of livestock are caused not by single genes acting alone, but multiple genes interacting with one another. This issue is difficult due to the limitations of parametric-statistic methods of gene effects. So we introduce multifactor-dimensionality reduction(MDR) as a methods for reducing the dimensionality of multilocus information. The MDR method is nonparametric (i. e., no hypothesis about the value of a statistical parameter is made), model free (i. e., it assumes no particular inheritance model) and is directly applicable to case-control studies. Application of the MDR method revealed the best model with an interaction effect between the SNPs, SNP1 and SNP3, while only one main effect of SNP1 was statistically significant for LMA (p < 0.01) under a general linear mixed model.

• Genomics & Informatics
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• 제14권4호
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• pp.166-172
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• 2016

Although a large number of genetic variants have been identified to be associated with common diseases through genome-wide association studies, there still exits limitations in explaining the missing heritability. One approach to solving this missing heritability problem is to investigate gene-gene interactions, rather than a single-locus approach. For gene-gene interaction analysis, the multifactor dimensionality reduction (MDR) method has been widely applied, since the constructive induction algorithm of MDR efficiently reduces high-order dimensions into one dimension by classifying multi-level genotypes into high- and low-risk groups. The MDR method has been extended to various phenotypes and has been improved to provide a significance test for gene-gene interactions. In this paper, we propose a simple method, called accelerated failure time (AFT) UM-MDR, in which the idea of a unified model-based MDR is extended to the survival phenotype by incorporating AFT-MDR into the classification step. The proposed AFT UM-MDR method is compared with AFT-MDR through simulation studies, and a short discussion is given.

• Journal of Information Processing Systems
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• 제12권3호
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• pp.468-488
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• 2016

The paper proposes a novel framework for 3D face verification using dimensionality reduction based on highly distinctive local features in the presence of illumination and expression variations. The histograms of efficient local descriptors are used to represent distinctively the facial images. For this purpose, different local descriptors are evaluated, Local Binary Patterns (LBP), Three-Patch Local Binary Patterns (TPLBP), Four-Patch Local Binary Patterns (FPLBP), Binarized Statistical Image Features (BSIF) and Local Phase Quantization (LPQ). Furthermore, experiments on the combinations of the four local descriptors at feature level using simply histograms concatenation are provided. The performance of the proposed approach is evaluated with different dimensionality reduction algorithms: Principal Component Analysis (PCA), Orthogonal Locality Preserving Projection (OLPP) and the combined PCA+EFM (Enhanced Fisher linear discriminate Model). Finally, multi-class Support Vector Machine (SVM) is used as a classifier to carry out the verification between imposters and customers. The proposed method has been tested on CASIA-3D face database and the experimental results show that our method achieves a high verification performance.

• Communications for Statistical Applications and Methods
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• 제11권1호
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• pp.49-58
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• 2004

In this talk we proposed an asymptotic test for dimensionality in the latent variable model for probabilistic principal component analysis with missing values at random. Proposed algorithm is a sequential likelihood ratio test for an appropriate Normal latent variable model for the principal component analysis. Modified EM-algorithm is used to find MLE for the model parameters. Results from simulations and real data sets give us promising evidences that the proposed method is useful in finding necessary number of components in the principal component analysis with missing values at random.

• BMB Reports
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• 제42권9호
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• pp.617-622
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• 2009

We investigated the genetic associations of ischemic stroke by identifying epistasis of its heterogeneous subtypes such as small vessel occlusion (SVO) and large artery atherosclerosis (LAA). Epistasis was analyzed with 24 genes in 207 controls and 271 patients (SVO = 110, LAA = 95) using multifactor dimensionality reduction and entropy decomposition. The multifactor dimensionality reduction analysis with any of 1- to 4-locus models showed no significant association with LAA (P > 0.05). The analysis of SVO, however, revealed a significant association in the best 3-locus model with P10L of TGF-$\beta{1}$, C1013T of SPP1, and R485K of F5 (testing balanced accuracy = 63.17%, P < 0.05). Subsequent entropy analysis also revealed that such heterogeneity was present and quite a large entropy was estimated among the 3 loci for SVO (5.43%), but only a relatively small entropy was estimated for LAA (1.81%). This suggests that the synergistic epistasis model might contribute specifically to the pathogenetsis of SVO, which implies a different etiopathogenesis of the ischemic stroke subtypes.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제12권1호
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• pp.1-5
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• 2012

Data reduction has been used widely in data mining for convenient analysis. Principal component analysis (PCA) and factor analysis (FA) methods are popular techniques. The PCA and FA reduce the number of variables to avoid the curse of dimensionality. The curse of dimensionality is to increase the computing time exponentially in proportion to the number of variables. So, many methods have been published for dimension reduction. Also, data augmentation is another approach to analyze data efficiently. Support vector machine (SVM) algorithm is a representative technique for dimension augmentation. The SVM maps original data to a feature space with high dimension to get the optimal decision plane. Both data reduction and augmentation have been used to solve diverse problems in data analysis. In this paper, we compare the strengths and weaknesses of dimension reduction and augmentation for classification and propose a classification method using data reduction for classification. We will carry out experiments for comparative studies to verify the performance of this research.

• 융합보안논문지
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• 제23권1호
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• pp.117-123
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• 2023

점점 더 고도화되고 있는 랜섬웨어 공격을 기계학습 기반 모델로 탐지하기 위해서는, 분류 모델이 고차원의 특성을 가지는 학습데이터를 훈련해야 한다. 그리고 이 경우 '차원의 저주' 현상이 발생하기 쉽다. 따라서 차원의 저주 현상을 회피하면서 학습모델의 정확성을 높이고 실행 속도를 향상하기 위해 특성의 차원 축소가 반드시 선행되어야 한다. 본 논문에서는 특성의 차원이 극단적으로 다른 2종의 데이터세트를 대상으로 3종의 기계학습 모델과 2종의 특성 추출기법을 적용하여 랜섬웨어 분류를 수행하였다. 실험 결과, 이진 분류에서는 특성 차원 축소기법이 성능 향상에 큰 영향을 미치지 않았으며, 다중 분류에서도 데이터세트의 특성 차원이 작을 경우에는 동일하였다. 그러나 학습데이터가 고차원의 특성을 가지는 상황에서 다중 분류를 시도했을 경우 LDA(Linear Discriminant Analysis)가 우수한 성능을 나타냈다.

• 대한원격탐사학회지
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• 제35권6_1호
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• pp.959-971
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• 2019

대표적인 딥러닝(deep learning) 기법 중 하나인 Convolutional Neural Network(CNN)은 고수준의 공간-분광 특징을 추출할 수 있어 초분광 영상 분류(Hyperspectral Image Classification)에 적용하는 연구가 활발히 진행되고 있다. 그러나 초분광 영상은 높은 분광 차원이 학습 과정의 시간과 복잡도를 증가시킨다는 문제가 있어 이를 해결하기 위해 기존 딥러닝 기반 초분광 영상 분류 연구들에서는 차원축소의 목적으로 Principal Component Analysis (PCA)를 적용한 바 있다. PCA는 데이터를 독립적인 주성분의 축으로 변환시킬 수 있어 분광 차원을 효율적으로 압축할 수 있으나, 분광 정보의 손실을 초래할 수 있다. PCA의 사용 유무가 CNN 학습의 정확도와 시간에 영향을 미치는 것은 분명하지만 이를 분석한 연구가 부족하다. 본 연구의 목적은 PCA를 통한 분광 차원축소가 CNN에 미치는 영향을 정량적으로 분석하여 효율적인 초분광 영상 분류를 위한 적절한 PCA의 적용 방법을 제안하는 데에 있다. 이를 위해 PCA를 적용하여 초분광 영상을 축소시켰으며, 축소된 차원의 크기를 바꿔가며 CNN 모델에 적용하였다. 또한, 모델 내의 컨볼루션(convolution) 연산 방식에 따른 PCA의 민감도를 분석하기 위해 2D-CNN과 3D-CNN을 적용하여 비교 분석하였다. 실험결과는 분류정확도, 학습시간, 분산 비율, 학습 과정을 통해 분석되었다. 축소된 차원의 크기가 분산 비율이 99.7~8%인 주성분 개수일 때 가장 효율적이었으며, 3차원 커널 경우 2D-CNN과는 다르게 원 영상의 분류정확도가 PCA-CNN보다 더 높았으며, 이를 통해 PCA의 차원축소 효과가 3차원 커널에서 상대적으로 적은 것을 알 수 있었다.

• 응용통계연구
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• 제18권2호
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• pp.381-393
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• 2005

회귀모형에서 필요한 설명변수들의 선형결합들을 탐색하기 위한 방법 중의 하나로 분할역회귀모형을 들 수 있다. 이러한 분할역회귀모형에서 모형에 필요한 설명변수들의 선형결합의 수, 즉 차원을 결정하기 위한 여러 가지의 검정법들이 소개 되었으나 설명변수들의 정규성 가정을 필요로 하거나 다른 제약이 있다. 본 논문에서는 주성분분석에 대한 확률모형을 이 용하여 정규성가정을 필요로하지 않으며 분할의 수에 로버스트한 검정법을 소개하고 모의실험과 실제자료에 대한 적용결과를 통하여 기존의 검정법과 비교하였다.

• Asian-Australasian Journal of Animal Sciences
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• 제21권6호
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• pp.784-788
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• 2008

Studies to detect genes responsible for economic traits in farm animals have been performed using parametric linear models. A non-parametric, model-free approach using the 'expanded multifactor-dimensionality reduction (MDR) method' considering high dimensionalities of interaction effects between multiple single nucleotide polymorphisms (SNPs), was applied to identify interaction effects of SNPs responsible for carcass traits in a Hanwoo beef cattle population. Data were obtained from the Hanwoo Improvement Center, National Agricultural Cooperation Federation, Korea, and comprised 299 steers from 16 paternal half-sib proven sires that were delivered in Namwon or Daegwanryong livestock testing stations between spring of 2002 and fall of 2003. For each steer at approximately 722 days of age, the Longssimus dorsi muscle area (LMA) was measured after slaughter. Three functional SNPs (19_1, 18_4, 28_2) near the microsatellite marker ILSTS035 on BTA6, around which the QTL for meat quality were previously detected, were assessed. Application of the expanded MDR method revealed the best model with an interaction effect between the SNPs 19_1 and 28_2, while only one main effect of SNP19_1 was statistically significant for LMA (p<0.01) under a general linear mixed model. Our results suggest that the expanded MDR method better identifies interaction effects between multiple genes that are related to polygenic traits, and that the method is an alternative to the current model choices to find associations of multiple functional SNPs and/or their interaction effects with economic traits in livestock populations.