• Title/Summary/Keyword: and regularization

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Time delay estimation algorithm using Elastic Net (Elastic Net를 이용한 시간 지연 추정 알고리즘)

  • Jun-Seok Lim;Keunwa Lee
    • The Journal of the Acoustical Society of Korea
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    • v.42 no.4
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    • pp.364-369
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    • 2023
  • Time-delay estimation between two receivers is a technique that has been applied in a variety of fields, from underwater acoustics to room acoustics and robotics. There are two types of time delay estimation techniques: one that estimates the amount of time delay from the correlation between receivers, and the other that parametrically models the time delay between receivers and estimates the parameters by system recognition. The latter has the characteristic that only a small fraction of the system's parameters are directly related to the delay. This characteristic can be exploited to improve the accuracy of the estimation by methods such as Lasso regularization. However, in the case of Lasso regularization, the necessary information is lost. In this paper, we propose a method using Elastic Net that adds Ridge regularization to Lasso regularization to compensate for this. Comparing the proposed method with the conventional Generalized Cross Correlation (GCC) method and the method using Lasso regularization, we show that the estimation variance is very small even for white Gaussian signal sources and colored signal sources.

An Application of the Clustering Threshold Gradient Descent Regularization Method for Selecting Genes in Predicting the Survival Time of Lung Carcinomas

  • Lee, Seung-Yeoun;Kim, Young-Chul
    • Genomics & Informatics
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    • v.5 no.3
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    • pp.95-101
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    • 2007
  • In this paper, we consider the variable selection methods in the Cox model when a large number of gene expression levels are involved with survival time. Deciding which genes are associated with survival time has been a challenging problem because of the large number of genes and relatively small sample size (n<

Regularized Iterative Image Restoration with Relaxation Parameter (이완변수를 고려한 영상의 정칙화 반복 복원)

  • 홍성용;이태홍
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.1
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    • pp.91-99
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    • 1994
  • We proposed the regularized iterative restoration method considering relaxation parameter and regularization paramenter in order to restore the noisy motion-blurred images. We used (i-H) as a regularization operator and these two kinds of constraints were applied while conventional regularization iterative restoration method proposed by Jan Biemond et al used the 2-D Laplacian filter and a predetermined regularization parameter value and relaxation parameter to 1. Through the experimental results, we showed better results compared with those by a conventional method and or regularized iterative restoration method just considering only a regularization parameter. These two kinds of constratints have good effects when applied into the regularized iterative restoration method for noisy motion-blurred images.

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Iterative Image Restoration using Adaptive Directional Regularization (적응적인 방향성 정칙화 연산자를 이용한 반복 영상복원)

  • Kim, Yong-Hun;Shin, Hyoun-Jin;Yi, Tai-Hong
    • Journal of KIISE:Software and Applications
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    • v.33 no.10
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    • pp.862-867
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    • 2006
  • To restore image degraded by blur and additive noise in the optical and electrical system, a regularized iterative restoration is used. A regularization operator is usually applied to all over the image without considering the local characteristics of image in conventional method. As a result, ringing artifacts appear in edge regions and the noise is amplified in flat regions. To solve these problems we propose an adaptive regularization iterative restoration considering the characteristic of edge and flat regions using directional regularization operator. Experimental results show that the proposed method suppresses the noise amplification in flat regions, and restores the edge more sharply in edge regions.

Image restoration by Adaptive Regularization Considering the Edge Direction (윤곽 방향을 고려한 적응 정칙화 영상 복원)

  • 김태선
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.9B
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    • pp.1588-1595
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    • 2000
  • To restore image degraded by out-of-focus blur and additivie noise a regularized iterative restoration is used. In concentional method, regularization is usually applied to all over the image without considering the local characteristics of image. As a result, ringing artifacts appear in edge regions and the noise amplification is introduced in flat regions. To solve this problem we propose an adaptive regularization iterative restoration using directional regularization operator considering edges in four directions and the regularization operator with on direction for flat regions. We verified that the proposed method show better results in the suppression of the noise amplification in flat regions, and introduced less ringing artifacts in edge regions. As a result it showed visually better image and improved better ISNR further than the conventional methods.

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REGULARIZED SOLUTION TO THE FREDHOLM INTEGRAL EQUATION OF THE FIRST KIND WITH NOISY DATA

  • Wen, Jin;Wei, Ting
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.23-37
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    • 2011
  • In this paper, we use a modified Tikhonov regularization method to solve the Fredholm integral equation of the first kind. Under the assumption that measured data are contaminated with deterministic errors, we give two error estimates. The convergence rates can be obtained under the suitable choices of regularization parameters and the number of measured points. Some numerical experiments show that the proposed method is effective and stable.

A Mixed Norm Image Restoration Algorithm Using Multi Regularized Parameters (다중 정규화 매개 변수를 이용한 혼합 norm 영상 복원 방식)

  • 김도령;홍민철
    • Proceedings of the IEEK Conference
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    • 2003.11a
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    • pp.489-492
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    • 2003
  • In this paper, we propose an iterative mixed norm image restoration algorithm using multi regularization parameters. A functional which combines the regularized l$_2$ norm functional and the regularized l$_4$ functional is proposed. The smoothness of each functional is determined by the regularization parameters. Also, a regularization parameter is used to determine the relative importance between the regularized l$_2$ functional and the regularized l$_4$ functional. An iterative algorithm is utilized for obtaining a solution and its convergence is analyzed.

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Relation between Multidimensional Liner Interpolation and Regularization Networks

  • Om, Kyong-Sik;Kim, Hee-Chan;Min, Byoun-Goo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1997.11a
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    • pp.128-133
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    • 1997
  • This paper examines the relation between multidimensional linear interpolation ( MDI ) and regularization networks, and shows that and MDI is a special form of regularization networks. For this purpose we propose a triangular basis function ( TBF ) network. Also we verified the condition when our proposed TBF becomes a well-known radial basis function ( RBF ).

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A Mixed Norm Image Restoration Algorithm Using Multi Regularization Parameters (다중 정규화 매개 변수를 이용한 혼합 norm 영상 복원 방식)

  • Choi, Kwon-Yul;Kim, Myoung-Jin;Hong, Min-Cheol
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.11C
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    • pp.1073-1078
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    • 2007
  • In this paper, we propose an iterative mixed norm image restoration algorithm using multi regularization parameters. A functional which combines the regularized $l_2$ norm functional and the regularized $l_4$ norm functional is proposed to efficiently remove arbitrary noise. The smoothness of each functional is determined by the regularization parameters. Also, a regularization parameter is used to determine the relative importance between the regularized $l_2$ norm functional and the regularized $l_4$ norm functional using kurtosis. An iterative algorithm is utilized for obtaining a solution and its convergence is analyzed. Experimental results demonstrate the capability of the proposed algorithm.

Analysis I of Operator Adaptive Characteristic in the Noisy-Blurred Images: Gaussian blurred and additive 20dB noise (훼손된 영상에서의 연산자 적응 특성 분석 I : 가우시안으로 흐려지고 20dB 잡음이 추가된 훼손된 영상)

  • Jeon, Woo-Sang;Han, Kun-Hee
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.5
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    • pp.1685-1692
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    • 2010
  • The Laplacian operator is usually used as a regularization operator which may be used as any differential operator in the regularization iterative processing. In this paper, several kinds of differential operator and proposed operator as a regularization operator were compared with each other performance. For noisy gaussian-blurred images, proposed operator worked better in the edge, while in flat region the conventional operator resulted better. In regularization, smoothing the noise and restoring the edges should be considered at the same time, so the regions divided into the flat, the middle, and the detailed, which were processed in separate and compared.