• Title/Summary/Keyword: Norm Method

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A Circuit Design Using Weight Minimization Method (Weight 최소화법을 이용한 외로 설계)

  • 김희석;임제택
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.2
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    • pp.82-89
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    • 1985
  • A new non-inferior solution is obtained by investigating method of weight p- norm to explain the conception of MCO (multiple criterion optimization) problem. And then the optimum non-inferior solution is obtained by the weight minimization method applied to objective function of MOSFET NAND rATEAlso this weight minimization method using weight P- norm methods can be applied to non-convex objective function. The result of this minimization method shows the efficiency in comparison with that of Lightner.

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Mixed-Norm Patch Similarity Search for Self-Example-based Single Image Super-Resolution (자가 표본 기반 단일 영상 초해상도 복원을 위한 혼합 놈 패치 유사도 검색)

  • Oh, Jong-Geun;Hong, Min-Cheol
    • Journal of IKEEE
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    • v.22 no.2
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    • pp.491-494
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    • 2018
  • This paper presents a similarity search method based on mixed norm for enhancing self-example-based single image super-resolution. In order to incorporate the local statistical characteristics of the patches into the super-resolution image reconstruction, we propose a method to determine the order of the norm according to the patch inclination and use it as a similarity search between patches. Experimental results demonstrate that the proposed similarity search method has the capability to improve the performance of existing search method.

Two Dimensional Slow Feature Discriminant Analysis via L2,1 Norm Minimization for Feature Extraction

  • Gu, Xingjian;Shu, Xiangbo;Ren, Shougang;Xu, Huanliang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.12 no.7
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    • pp.3194-3216
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    • 2018
  • Slow Feature Discriminant Analysis (SFDA) is a supervised feature extraction method inspired by biological mechanism. In this paper, a novel method called Two Dimensional Slow Feature Discriminant Analysis via $L_{2,1}$ norm minimization ($2DSFDA-L_{2,1}$) is proposed. $2DSFDA-L_{2,1}$ integrates $L_{2,1}$ norm regularization and 2D statically uncorrelated constraint to extract discriminant feature. First, $L_{2,1}$ norm regularization can promote the projection matrix row-sparsity, which makes the feature selection and subspace learning simultaneously. Second, uncorrelated features of minimum redundancy are effective for classification. We define 2D statistically uncorrelated model that each row (or column) are independent. Third, we provide a feasible solution by transforming the proposed $L_{2,1}$ nonlinear model into a linear regression type. Additionally, $2DSFDA-L_{2,1}$ is extended to a bilateral projection version called $BSFDA-L_{2,1}$. The advantage of $BSFDA-L_{2,1}$ is that an image can be represented with much less coefficients. Experimental results on three face databases demonstrate that the proposed $2DSFDA-L_{2,1}/BSFDA-L_{2,1}$ can obtain competitive performance.

L1-norm Regularization for State Vector Adaptation of Subspace Gaussian Mixture Model (L1-norm regularization을 통한 SGMM의 state vector 적응)

  • Goo, Jahyun;Kim, Younggwan;Kim, Hoirin
    • Phonetics and Speech Sciences
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    • v.7 no.3
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    • pp.131-138
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    • 2015
  • In this paper, we propose L1-norm regularization for state vector adaptation of subspace Gaussian mixture model (SGMM). When you design a speaker adaptation system with GMM-HMM acoustic model, MAP is the most typical technique to be considered. However, in MAP adaptation procedure, large number of parameters should be updated simultaneously. We can adopt sparse adaptation such as L1-norm regularization or sparse MAP to cope with that, but the performance of sparse adaptation is not good as MAP adaptation. However, SGMM does not suffer a lot from sparse adaptation as GMM-HMM because each Gaussian mean vector in SGMM is defined as a weighted sum of basis vectors, which is much robust to the fluctuation of parameters. Since there are only a few adaptation techniques appropriate for SGMM, our proposed method could be powerful especially when the number of adaptation data is limited. Experimental results show that error reduction rate of the proposed method is better than the result of MAP adaptation of SGMM, even with small adaptation data.

Effects of Cyber Defamation Victims' Post-Traumatic Stress on Coping behaviour : Focusing on the Theory of Reasoned Action (사이버 명예훼손 피해자의 외상 후 스트레스가 대처행동에 미치는 영향 : 합리적 행동 이론을 중심으로)

  • Kim, Youngsoo;Byun, Sanghae
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.15 no.1
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    • pp.29-41
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    • 2019
  • The purpose of this study examined how post-traumatic stress, caused when internet users in web portal or social media are defamed in cyberspace, influence on coping behaviour, through the Theory of Reasoned Action's two major factors: Attitude on behaviour and subjective norm. In so doing, it aims to provide a technical and political solution that would fundamentally prevent future victims in cyberspace. In an effort to examine its research theory, a survey was conducted on people who have had the experience of being defamed in cyberspace. The results showed, first, hypersensual has no significant influence over attitude on behaviour and subjective norm. Second, intrusion has no significant influence over attitude on behaviour and subjective norm. Third, avoidance showed significant influence over attitude on behaviour and subjective norm. Fourth, attitude on behaviour and subjective norm showed significant influence on behaviour. This study has both theoretical and practical significance; Unlike previous studies on cyber defamation with qualitative research method, this study employed quantitative method through theory-based approach. In other words, the researcher did not arbitrarily set variables, but utilized the Theory of Reasoned Action for examination.

Non-Local Means Denoising Method using Weighting Function based on Mixed norm (혼합 norm 기반의 가중치 함수를 이용한 평균 노이즈 제거 기법)

  • Kim, Dong-Young;Oh, Jong-Geun;Hong, Min-Cheol
    • Journal of IKEEE
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    • v.20 no.2
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    • pp.136-142
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    • 2016
  • This paper presents a non-local means (NLM) denoising algorithm based on a new weighting function using a mixed norm. The fidelity of the difference between an anchor patch and the reference patch in the NLM denoising depends on noise level and local activity. This paper introduces a new weighting function based on a mixed norm type of which the order is determined by noise level and local activity of an anchor patch, so that the performance of the NLM denoising can be enhanced. Experimental results demonstrate the objective and subjective capability of the proposed algorithm. In addition, it was verified that the proposed algorithm can be used to improve the performance of the other $l_2$ norm based non-local means denoising algorithms

Development of Digital Image Forgery Detection Method Utilizing LE(Local Effect) Operator based on L0 Norm (L0 Norm 기반의 LE(Local Effect) 연산자를 이용한 디지털 이미지 위변조 검출 기술 개발)

  • Choi, YongSoo
    • Journal of Software Assessment and Valuation
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    • v.16 no.2
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    • pp.153-162
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    • 2020
  • Digital image forgery detection is one of very important fields in the field of digital forensics. As the forged images change naturally through the advancement of technology, it has made it difficult to detect forged images. In this paper, we use passive forgery detection for copy paste forgery in digital images. In addition, it detects copy-paste forgery using the L0 Norm-based LE operator, and compares the detection accuracy with the forgery detection using the existing L2, L1 Norm-based LE operator. In comparison of detection rates, the proposed lower triangular(Ayalneh and Choi) window was more robust to BAG mismatch detection than the conventional window filter. In addition, in the case of using the lower triangular window, the performance of image forgery detection was measured increasingly higher as the L2, L1 and L0 Norm LE operator was performed.

Analysis on a Minimum Infinity-norm Solution for Kinematically Redundant Manipulators

  • Insoo Ha;Lee, Jihong
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.2
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    • pp.130-139
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    • 2002
  • In this paper, at first, we investigate existing algorithms for finding the minimum infinity-norm solution of consistent linear equations and then propose a new algorithm. The proposed algorithm is intended to includes the advantages of computational efficiency as well as geometric explicitness. As a practical application example, optimum trajectory planning for redundant robot manipulators is considered. Also, an efficient approach avoiding discontinuity in trajectory is proposed by resolving the non-uniqueness problem of minimum infinity-norm solution. To be specific, the proposed method for checking possible discontinuity does not need any other algorithms in checking the possibility of discontinuity while previous work needs specially designed checking courses. To show the usefulness of the proposed techniques, an example calculating minimum infinity-norm solution for comparing the computational efficiency as well as the trajectory planning for a redundant robot manipulator are included.

ROBUST $L_{p}$-NORM ESTIMATORS OF MULTIVARIATE LOCATION IN MODELS WITH A BOUNDED VARIANCE

  • Georgly L. Shevlyakov;Lee, Jae-Won
    • The Pure and Applied Mathematics
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    • v.9 no.1
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    • pp.81-90
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    • 2002
  • The least informative (favorable) distributions, minimizing Fisher information for a multivariate location parameter, are derived in the parametric class of the exponential-power spherically symmetric distributions under the following characterizing restrictions; (i) a bounded variance, (ii) a bounded value of a density at the center of symmetry, and (iii) the intersection of these restrictions. In the first two cases, (i) and (ii) respectively, the least informative distributions are the Gaussian and Laplace, respectively. In the latter case (iii) the optimal solution has three branches, with relatively small variances it is the Gaussian, them with intermediate variances. The corresponding robust minimax M-estimators of location are given by the $L_2$-norm, the $L_1$-norm and the $L_{p}$ -norm methods. The properties of the proposed estimators and their adaptive versions ar studied in asymptotics and on finite samples by Monte Carlo.

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Optimal iterative learning control with model uncertainty

  • Le, Dang Khanh;Nam, Taek-Kun
    • Journal of Advanced Marine Engineering and Technology
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    • v.37 no.7
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    • pp.743-751
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    • 2013
  • In this paper, an approach to deal with model uncertainty using norm-optimal iterative learning control (ILC) is mentioned. Model uncertainty generally degrades the convergence and performance of conventional learning algorithms. To deal with model uncertainty, a worst-case norm-optimal ILC is introduced. The problem is then reformulated as a convex minimization problem, which can be solved efficiently to generate the control signal. The paper also investigates the relationship between the proposed approach and conventional norm-optimal ILC; where it is found that the suggested design method is equivalent to conventional norm-optimal ILC with trial-varying parameters. Finally, simulation results of the presented technique are given.