• Title/Summary/Keyword: singular use

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Analysis of robust performance improvement using loop shaping and structured singular value (루프쉐이핑과 구조적 특이치를 이용한 견실성능 개선)

  • 방경호;오도창;박홍배
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.5
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    • pp.17-24
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    • 1996
  • In this paper, we present a robust performance improvement method for the NLCF(normalized left coprime factor) uncertain structure using loop shaping and the structure singular value. For this, we select weighting functions for a loop shaping considering condition numer, and transform the NLCF uncertain structure into the 4-block structure. However, we can't get a good performance on account of the restriction of weighting functions. To cope with this, we motivate the use of structured singular vlaue in the robust performance improvement procedure. After all, the robust performance improvement can be obtained by a factor W$_{a}$ and a scaling factor of D-K iteration.

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An Implementation of Inverse Filter for Sound Reproduction of Non-Minimum Phase System. (비최소 위상 시스템에서 음재생을 위한 역변환 필터의 구현)

  • 노경래;이상권
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.997-1002
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    • 2001
  • This paper describes an implementation of inverse filter using SVD in order to recover the input in multi-channel system. The matrix formulation in SISO system is extended to MIMO system. In time and frequency domain we investigates the inversion of minimum phase system and non-minimum phase system. To execute an effective inversion of non-minimum phase system, SVD is introduced. First of all we computes singular values of system matrix and then investigates the phase property of system. In case of overall system is non-minimum phase, system matrix has one (or more) very small singular value(s). The very small singular value(s) carries information about phase properties of system. Using this property, approximate inverse filter of overall system is founded. The numerical simulation shows potentials in use of the inverse filter.

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FINITE ELEMENT DUAL SINGULAR FUNCTION METHODS FOR HELMHOLTZ AND HEAT EQUATIONS

  • JANG, DEOK-KYU;PYO, JAE-HONG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.22 no.2
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    • pp.101-113
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    • 2018
  • The dual singular function method(DSFM) is a numerical algorithm to get optimal solution including corner singularities for Poisson and Helmholtz equations. In this paper, we apply DSFM to solve heat equation which is a time dependent problem. Since the DSFM for heat equation is based on DSFM for Helmholtz equation, it also need to use Sherman-Morrison formula. This formula requires linear solver n + 1 times for elliptic problems on a domain including n reentrant corners. However, the DSFM for heat equation needs to pay only linear solver once per each time iteration to standard numerical method and perform optimal numerical accuracy for corner singularity problems. Because the Sherman-Morrison formula is rather complicated to apply computation, we introduce a simplified formula by reanalyzing the Sherman-Morrison method.

Generalization of Quantification for PLS Correlation

  • Yi, Seong-Keun;Huh, Myung-Hoe
    • The Korean Journal of Applied Statistics
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    • v.25 no.1
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    • pp.225-237
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    • 2012
  • This study proposes a quantification algorithm for a PLS method with several sets of variables. We called the quantification method for PLS with more than 2 sets of data a generalization. The basis of the quantification for PLS method is singular value decomposition. To derive the form of singular value decomposition in the data with more than 2 sets more easily, we used the constraint, $a^ta+b^tb+c^tc=3$ not $a^ta=1$, $b^tb=1$, and $c^tc=1$, for instance, in the case of 3 data sets. However, to prove that there is no difference, we showed it by the use of 2 data sets case because it is very complicate to prove with 3 data sets. The keys of the study are how to form the singular value decomposition and how to get the coordinates for the plots of variables and observations.

A High-Dimensional Index Structure Based on Singular Value Decomposition (Singular Value Decomposition 기반 고차원 인덱스 구조)

  • Kim, Sang-Wook;Aggarwal, Charu;Yu, Philip S.
    • Journal of Industrial Technology
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    • v.20 no.B
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    • pp.213-218
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    • 2000
  • The nearest neighbor query is an important operation widely used in multimedia databases for finding the object that is most similar to a given query object. Most of techniques for processing nearest neighbor queries employ multidimensional indexes for effective indexing of objects. However, the performance of previous multidimensional indexes, which use N-dimensional rectangles or spheres for representing the capsule of the object cluster, deteriorates seriously as the number of dimensions gets higher. This paper proposes a new index structure based singular value decomposition resolving this problem and the query processing method using it. We also verify the superiority of our approach through performance evaluation by performing extensive experiments.

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Design of Optimal Controller for the Congestion in ATM Networks (ATM망의 체증을 해결하기 위한 최적 제어기 설계)

  • Jung Woo-Chae;Kim Young-Joong;Lim Myo-Taeg
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.6
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    • pp.359-365
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    • 2005
  • This paper presents an reduced-order near-optimal controller for the congestion control of Available Bit Rate (ABR) service in Asynchronous Transfer Mode (ATM) networks. We introduce the model, of a class of ABR traffic, that can be controlled using a Explicit Rate feedback for congestion control in ATM networks. Since there are great computational complexities in the class of optimal control problem for the ABR model, the near-optimal controller via reduced-order technique is applied to this model. It is implemented by the help of weakly coupling and singular perturbation theory, and we use bilinear transformation because of its computational convenience. Since the bilinear transformation can convert discrete Riccati equation into continuous Riccati equation, the design problems of optimal congestion control can be reduced. Using weakly coupling and singular perturbation theory, the computation time of Riccati equations can be saved, moreover the real-time congestion control for ATM networks can be possible.

SIF AND FINITE ELEMENT SOLUTIONS FOR CORNER SINGULARITIES

  • Woo, Gyungsoo;Kim, Seokchan
    • East Asian mathematical journal
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    • v.34 no.5
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    • pp.623-632
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    • 2018
  • In [7, 8] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with homogeneous boundary conditions, compute the finite element solutions using standard FEM and use the extraction formula to compute the stress intensity factor(s), then they posed new PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor(s), which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. Their algorithm involves an iteration and the iteration number depends on the acuracy of stress intensity factors, which is usually obtained by extraction formula which use the finite element solutions computed by standard Finite Element Method. In this paper we investigate the dependence of the iteration number on the convergence of stress intensity factors and give a way to reduce the iteration number, together with some numerical experiments.

Composite Fuzzy Control of a Single Flexible Link Manipulator (단일 유연 링크 매니퓰레이터의 복합 퍼지 제어)

  • 김재승;이수한
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.353-353
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    • 2000
  • To control a light weight flexible manipulator, a composite fuzzy controller is proposed. The controller is designed based on two time scaled models. A singular perturbation technique is applied for deriving the models. The proposed controller, however, does not use the complex equilibrium manifold equations, which are usually needed in the controller based on the two time scaled models. The controller for a slow sub-model and a fast sub-model are T-S type fuzzy controllers, which use 3 linguistic variables for each sub-model. A step trajectory is used in simulations as a reference trajectory of joint motions. The results of simulations with the proposed controller show excellent damping of flexible motions compared to a controller with derivative control of flexible motions.

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Histogram-Based Singular Value Decomposition for Object Identification and Tracking (객체 식별 및 추적을 위한 히스토그램 기반 특이값 분해)

  • Ye-yeon Kang;Jeong-Min Park;HoonJoon Kouh;Kyungyong Chung
    • Journal of Internet Computing and Services
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    • v.24 no.5
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    • pp.29-35
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    • 2023
  • CCTV is used for various purposes such as crime prevention, public safety reinforcement, and traffic management. However, as the range and resolution of the camera improve, there is a risk of exposing personal information in the video. Therefore, there is a need for new technologies that can identify individuals while protecting personal information in images. In this paper, we propose histogram-based singular value decomposition for object identification and tracking. The proposed method distinguishes different objects present in the image using color information of the object. For object recognition, YOLO and DeepSORT are used to detect and extract people present in the image. Color values are extracted with a black-and-white histogram using location information of the detected person. Singular value decomposition is used to extract and use only meaningful information among the extracted color values. When using singular value decomposition, the accuracy of object color extraction is increased by using the average of the upper singular value in the result. Color information extracted using singular value decomposition is compared with colors present in other images, and the same person present in different images is detected. Euclidean distance is used for color information comparison, and Top-N is used for accuracy evaluation. As a result of the evaluation, when detecting the same person using a black-and-white histogram and singular value decomposition, it recorded a maximum of 100% to a minimum of 74%.

Us thinketh hem wonder nyce and straunge: where form and meaning collide

  • Moon, Kyung-Hwan
    • Lingua Humanitatis
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    • v.2 no.1
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    • pp.93-127
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    • 2002
  • This paper deals with a class of Middle English impersonal constructions that involve verbs of two-place argument structure. As is generally understood, the term 'impersonal' is notoriously murky, and after all those researches that have been performed in this area, quite a few issues still remain controversial. The issues we center around in the present study concern the following two. In the type of impersonal constructions we consider, the two arguments-Cause and Experiencer-are both expressed in oblique case, posing the problem of determining which of them functions as the grammatical subject. The issue, however. is not how an argument in oblique case can be taken as the subject: it is well blown that the so called 'dative subject Experiencer' already occurred in Old English. The real issue is why both of the arguments are syntactically realized as nonnominative. The other issue concerns the 3rd-person singular form of the verb. Here again, the crux of the problem may be blurred by the fact that impersonal construction is often defined as one in which the verb has 3rd-person singular form with no apparent nominative W controlling verb concord. But this definition is more nebulous than clear because the notion 'subjectless' is itself highly controversial. Thus, for an expression like me thinketh that-S, it may well be that the verb thinketh ('seems') is 3rd-person singular because the that-clause is the subject. What should be explained of the data brought up here is why the impersonal verb is 3rd-person singular when neither of the NPs associated with it is 3rd person or singular. I argue that we can account for our paradigm examples by looking upon them as 'mixed construction' in which semantic interpretation conflicts with syntactic parsing as a result of case syncretism and gradual establishment of SVO word order. This amounts to saying that the peculiarities of the construction originate with the confused use of impersonal verbs between the sense of 'give an impression' and that of 'receive and impression.'

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