• Title/Summary/Keyword: Subspace

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On robustness in dimension determination in fused sliced inverse regression

  • Yoo, Jae Keun;Cho, Yoo Na
    • 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.

A study on scanner calibration method using nonlinear regression analysis in sub-divided color space (분활된 색공간에서 비선형 다중회귀 분석법을 이용한 스캐너 캘리브레이션에 관한 연구)

  • 김나나;구철희
    • Journal of the Korean Graphic Arts Communication Society
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    • v.19 no.1
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    • pp.4-16
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    • 2001
  • Most important step for the color matching in scanner is the color coordinate transformation from the scanner RGB space to device independent uniform color space. A variety of color calibration technologies have been developed for input device. Linear or nonlinear matrices have been conveniently applied to correct the color filter's mismatch with color matching function in scanners. The color matching accuracy is expected to be further improved when the nonlinear matrices are optimized into subdivided smaller color spaces than in single matrix of the entire color space. This article proposed the scanner calibration method using subspace division regression analysis and it were compared with conventional method.

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A Collaborative Filtering in a Lower-Dimensional Subspace using Random Projection (임의 사상을 이용한 저차원 공간에서의 협력적 여과)

  • Jung, Jun;Lee, Pil-Kyu
    • Proceedings of the Korean Information Science Society Conference
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    • 2002.10d
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    • pp.271-273
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    • 2002
  • 추천 시스템에서 사용되고 있는 중요한 방법인 협력적 여과는 유사한 사용자들에 기초하여 그 사용자들이 선호하는 아이템을 교차 추천을 해주는 방법이다. 사용자들에 대한 정보는 아이템을 평가한 등급에 기초하며, 그 평가 등급 패턴이 유사한 사용자를 찾게 된다. 협력적 여과는 사용자와 정보의 증가에 따라서 성능이 저하되는 문제점을 가지고 있다. 이러한 문제점을 해결하기 위하여 SVD, PCA, LSI와 같은 차원 감소 방법이 제시되어 왔으나, 이러한 방법은 계산 비용이 크다는 단점을 가지고 있다. 따라서, 계산 비용이 적고, 정확성에 있어서도 충분히 정확한 임시 사상이 최근에 주목을 받고 있다. 본 논문에서는 임의 사상을 이용한 차원 감소 방법이 협력적 여과에 미치는 효과를 실험을 통하여 제시한다. 실험적으로, 임의 사상 방법은 협력적 여과에서 충분히 정확한 성능을 보였다.

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Domain Adaptation Image Classification Based on Multi-sparse Representation

  • Zhang, Xu;Wang, Xiaofeng;Du, Yue;Qin, Xiaoyan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.5
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    • pp.2590-2606
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    • 2017
  • Generally, research of classical image classification algorithms assume that training data and testing data are derived from the same domain with the same distribution. Unfortunately, in practical applications, this assumption is rarely met. Aiming at the problem, a domain adaption image classification approach based on multi-sparse representation is proposed in this paper. The existences of intermediate domains are hypothesized between the source and target domains. And each intermediate subspace is modeled through online dictionary learning with target data updating. On the one hand, the reconstruction error of the target data is guaranteed, on the other, the transition from the source domain to the target domain is as smooth as possible. An augmented feature representation produced by invariant sparse codes across the source, intermediate and target domain dictionaries is employed for across domain recognition. Experimental results verify the effectiveness of the proposed algorithm.

PSEUDOLINDELOF SPACES AND HEWITT REALCOMPACTIFICATION OF PRODUCTS

  • Kim, Chang-Il
    • The Pure and Applied Mathematics
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    • v.6 no.1
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    • pp.39-45
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    • 1999
  • The concept of pseudoLindelof spaces is introduced. It is shown that the followings are equivalent: (a) for any two disjoint zero-sets in X, at least one of them is Lindelof, (b) $\mid$vX{\;}-{\;}X$\mid${\leq}{\;}1$, and (c) for any space T with $X{\;}{\subseteq}{\;}T$, there is an embedding $f{\;}:{\;}vX{\;}{\rightarrow}{\;}vT$ such that f(x) = x for all $x{\;}{\in}{\;}X$ and that if $X{\;}{\times}{\;}Y$ is a z-embedded pseudoLindelof subspace of $vX{\;}{\times}{\;}vY,{\;}then{\;}v(X{\;}{\times}{\;}Y){\;}={\;}vX{\;}{\times}{\;}vY$.

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A new mthod for high resolution DOA systems (고해상도 DOA 시스템을 위한 새로운 방법 제안)

  • 고학임;문대철
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.2
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    • pp.340-346
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    • 1996
  • In this paper, we propose a ne weighted backward covariance matrix method to enhance the resolution for direction-of-arrival(DOA) estimation. The proposed method (MEVM:modified eigenvector method) is an enhanced covariance matrix method which is an extended form of the conventional covariance matrix. We analyze the effect of using the weighted forward-baskward covariance matrix on the performance of the eigenvector method(EVM). By comparing the perturbation angle of the noise-subspace, we show that the spectral estimate obtained using the proposed method is less distorted than the spectral estimate obtained using the conventional EVM. The simulation results show that the new method is more accurate and has better resolution than the conventional EVM under the same noise conditions.

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Blind Multi-user Estimation for Asynchronous DS-CDMA Systems (비동기 DS-CDMA 시스템에서의 블라인드 다중사용자 채널 추정 기법)

  • 정형성;성하종;이충용;유대희
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.7A
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    • pp.939-946
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    • 1999
  • A new blind multi-user channel estimation algorithm for the mobile communication systems is proposed. The proposed algorithm exploits the second-order statistics of a received signal and the subspace concept, and requires much less computational complexity than the existing algorithms. The algorithm can reduce the comptational load by estimating the physical channels excluding the spreading codes. We formulate the algorithm using the multi-channel model for asynchronous DS-CDMA systems and perform numerical experiments to evaluate the performance of the proposed algorithm.

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A Systematic Design of Automatic Fuzzy Rule Generation for Dynamic System

  • Kang, Hoon;Kim, Young-Ho;Jeon, Hong-Tae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.2 no.3
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    • pp.29-39
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    • 1992
  • We investigate a systematic design procedure of automatic rule generation of fuzzy logic based controllers for highly nonlinear dynamic systems such as an engine dynamic modle. By "automatic rule generation" we mean autonomous clustering or collection of such meaningful transitional relations from one conditional subspace to another. During the design procedure, we also consider optimaly control strategies such as minimum squared error, near minimum time, minimum energy or combined performance critiera. Fuzzy feedback control systems designed by our method have the properties of closed-loop stability, robustness under parameter variabitions, and a certain degree of optimality. Most of all, the main advantage of the proposed approach is that reliability can be potentially increased even if a large grain of uncertainty is involved within the control system under consideration. A numerical example is shown in which we apply our strategic fuzzy controller dwsign to a highly nonlinear model of engine idling speed control.d control.

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Appearance-based Robot Visual Servo via a Wavelet Neural Network

  • Zhao, Qingjie;Sun, Zengqi;Sun, Fuchun;Zhu, Jihong
    • International Journal of Control, Automation, and Systems
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    • v.6 no.4
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    • pp.607-612
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    • 2008
  • This paper proposes a robot visual servo approach based on image appearance and a wavelet function neural network. The inputs of the wavelet neural network are changes of image features or the elements of image appearance vector, and the outputs are changes of robot joint angles. Image appearance vector is calculated by using eigen subspace transform algorithm. The proposed approach does not need a priori knowledge of the robot kinematics, hand-eye geometry and camera models. The experiment results on a real robot system show that the proposed method is practical and simple.

A study on the properties of the finite-dimensional approximation of an r-fold Wiener Process (r-fold Wiener process에 대한 유한근사함수의 특성에 관한 연구)

  • Choi, Sung-Hee;Hwang, Suk-Hyung
    • Journal of the Korea Society of Computer and Information
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    • v.18 no.3
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    • pp.91-96
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    • 2013
  • Because the r-fold Wiener process is truly infinitely dimensional and a computer can only handle finitely dimensional subspaces, we study in this paper the basic properties of the m-dimensional approximation function of the r-fold Wiener process.