• Title/Summary/Keyword: sparse matrix

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A Study on Circular Filtering in Orthogonal Transform Domain

  • Song, Bong-Seop;Lee, Sang-Uk
    • Journal of Electrical Engineering and information Science
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    • v.1 no.2
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    • pp.125-133
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    • 1996
  • In this paper, we dicuss on the properties related to the circular filtering in orthogonal transform domain. The efficient filtering schemes in six orthogonal transform domains are presented by generalizing the convolution-multiplication property of the DFT. In brief, the circular filtering can be accomplished by multiplying the transform domain filtering matrix W, which is shown to be very sparse, yielding the computational gains compared with the time domain processing. As an application, decimation and interpolation techniques in orthogonal transform domains are also investigated.

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The General Comparison between Direct Matrix Solvers (직접 행렬해법에 대한 일반적 비교)

  • An B. K.;Park Y. B.;Kim J. H.;Yang D. Y.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2001.10a
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    • pp.113-116
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    • 2001
  • Finite element analysis programs have been for metal forming process design They will become more and more important in understanding forming process For large-scale forging analysis problems, the performance of a linear equation solver is very important for the overall efficiency of the analysis code. With problem size increased, the computation time needs to be reduced, which is spent on setting the system of algebraic equations associated with finite element model Many matrix solvers have been developed and used usefully in finite element program for this purpose.

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An ANALYTICTRANSFORM KERNEL DERIVATION METHOD FOR VERSATILE VIDEO CODING (VVC) (VVC 비디오 코덱을 위한 변환 커널 유도 방법)

  • Shrestha, Sandeep;lee, Bumshik
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2019.11a
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    • pp.246-248
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    • 2019
  • In the ongoing standardization of Versatile Video Coding (VVC), DCT-2, DST-7 and DCT-8 are accounted as the vital transform kernels. While storing all of those transform kernels, ROM memory storage is considered as the major problem. So, to deal with this scenario, a common sparse unified matrix concept is introduced in this paper. From the proposed matrix, any point transform kernels (DCT-2, DST-7, DCT-8, DST-4 and DCT-4) can be achieved after some mathematical computation. DCT-2, DST-7 and DCT-8 are the used major transform kernel in this paper.

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Development of LPAKO : Software of Simplex Method for Liner Programming (단체법 프로그램 LPAKO 개발에 관한 연구)

  • 박순달;김우제;박찬규;임성묵
    • Korean Management Science Review
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    • v.15 no.1
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    • pp.49-62
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    • 1998
  • The purpose of this paper is to develope a large-scale simplex method program LPAKO. Various up-to-date techniques are argued and implemented. In LPAKO, basis matrices are stored in a LU factorized form, and Reid's method is used to update LU maintaining high sparsity and numerical stability, and further Markowitz's ordering is used in factorizing a basis matrix into a sparse LU form. As the data structures of basis matrix, Gustavson's data structure and row-column linked list structure are considered. The various criteria for reinversion are also discussed. The dynamic steepest-edge simplex algorithm is used for selection of an entering variable, and a new variation of the MINOS' perturbation technique is suggested for the resolution of degeneracy. Many preprocessing and scaling techniques are implemented. In addition, a new, effective initial basis construction method are suggested, and the criteria for optimality and infeasibility are suggested respectively. Finally, LPAKO is compared with MINOS by test results.

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Supervised Learning-Based Collaborative Filtering Using Market Basket Data for the Cold-Start Problem

  • Hwang, Wook-Yeon;Jun, Chi-Hyuck
    • Industrial Engineering and Management Systems
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    • v.13 no.4
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    • pp.421-431
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    • 2014
  • The market basket data in the form of a binary user-item matrix or a binary item-user matrix can be modelled as a binary classification problem. The binary logistic regression approach tackles the binary classification problem, where principal components are predictor variables. If users or items are sparse in the training data, the binary classification problem can be considered as a cold-start problem. The binary logistic regression approach may not function appropriately if the principal components are inefficient for the cold-start problem. Assuming that the market basket data can also be considered as a special regression problem whose response is either 0 or 1, we propose three supervised learning approaches: random forest regression, random forest classification, and elastic net to tackle the cold-start problem, comparing the performance in a variety of experimental settings. The experimental results show that the proposed supervised learning approaches outperform the conventional approaches.

Demodulation and Performance of Multicomponent Undersampled AM, FM and AM-FM Signals (다중 성분의 저표본화된 AM, FM 및 AM-FM 신호들의 복조와 성능)

  • Son, Tae-Ho;Hwang, Ui-Cheon
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.7
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    • pp.399-406
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    • 2000
  • We propose an nonlinear demodulation algorithm for undersampled multicomponent AM(Amplitude Modulation), FM(Frequency Modulation) and AM-FM signals. First, we derive respectively undersampling frequency of the AM, FM and AM-FM using undersampling scheme, and separate respectively monocomponent signals from multicomponent signals using periodic algebraic separation algorithm. In this case augmented separation matrix is very regular and sparse, it has a special structure. The proposed demodulation algorithm detects respectively message signals of the IA(Instantaneous Amplitude) and IF(Instantaneous Frequency) from descrete monocomponent AM, FM and AM-FM signals with an undersampling frequency to be controllable. Verifying the RMS(Root Mean Squares) errors of the detected signals, we show that the performance is excellent.

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A Development of Parallel Processing for Power Flow analysis (전력 조류 계산의 병렬처리에 관한 연구)

  • Lee, Chun-Mo
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.51 no.2
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    • pp.55-59
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    • 2002
  • Parallel processing is able to be used effectively on computationally intense power system problems. But this technology is not still available is not only parallel computer but also parallel processing scheme. Testing these algorithms to ensure accuracy, and evaluation of their performance is also an issue. Although a significant amount of parallel algorithms of power system problem have been developed in last decade, actual testing on parallel computer architectures lies in the beginning stages because no clear cut paths. This paper presents Jacobian modeling method to supply the base being able to treat power flow by newton's method by the computer. This method is to assign and to compute teared blocks of sparse matrix at each parallel processors. The testing to insure accuracy of developed method have been done on serial computer by trying to simulate a parallel environment.

A Signal Separation Method Based on Sparsity Estimation of Source Signals and Non-negative Matrix Factorization (음원 희소성 추정 및 비음수 행렬 인수분해 기반 신호분리 기법)

  • Hong, Serin;Nam, Siyeon;Yun, Deokgyu;Choi, Seung Ho
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2017.11a
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    • pp.202-203
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    • 2017
  • 비음수 행렬 인수분해(Non-negative Matrix Factorization, NMF)의 신호분리 성능을 개선하기 위해 희소조건을 인가한 방법이 희소 비음수 행렬 인수분해 알고리즘(Sparse NMF, SNMF)이다. 기존의 SNMF 알고리즘은 개별 음원의 희소성을 고려하지 않고 임의로 결정한 희소 조건을 사용한다. 본 논문에서는 음원의 특성에 따른 희소성을 추정하고 이를 SNMF 학습알고리즘에 적용하는 새로운 신호분리 기법을 제안한다. 혼합 신호에서의 잡음제거 실험을 통해, 제안한 방법이 기존의 NMF와 SNMF에 비해 성능이 더 우수함을 보였다.

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Wind velocity simulation of spatial three-dimensional fields based on autoregressive model

  • Gao, Wei-Cheng;Yu, Yan-Lei
    • Wind and Structures
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    • v.11 no.3
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    • pp.241-256
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    • 2008
  • This paper adopts autoregressive (AR) model to simulate the wind velocity of spatial three-dimensional fields in accordance with the time and space dependent characteristics of the 3-D fields. Based on the built MATLAB programming, this paper discusses in detail the issues of the AR model deduced by matrix form in the simulation and proposes the corresponding solving methods: the over-relaxation iteration to solve the large sparse matrix equations produced by large number of degrees of freedom of structures; the improved Gauss formula to calculate the numerical integral equations which integral functions contain oscillating functions; the mixed congruence and central limit theorem of Lindberg-Levy to generate random numbers. This paper also develops a method of ascertaining the rank of the AR model. The numerical examples show that all those methods are stable and reliable, which can be used to simulate the wind velocity of all large span structures in civil engineering.

A Development of Distributed Parallel Processing algorithm for Power Flow analysis (전력 조류 계산의 분산 병렬처리기법에 관한 연구)

  • Lee, Chun-Mo;Lee, Hae-Ki
    • Proceedings of the KIEE Conference
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    • 2001.07e
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    • pp.134-140
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    • 2001
  • Parallel processing has the potential to be cost effectively used on computationally intense power system problems. But this technology is not still available is not only parallel computer but also parallel processing scheme. Testing these algorithms to ensure accuracy, and evaluation of their performance is also an issue. Although a significant amount of parallel algorithms of power system problem have been developed in last decade, actual testing on processor architectures lies in the beginning stages. This paper presents the parallel processing algorithm to supply the base being able to treat power flow by newton's method by the distributed memory type parallel computer. This method is to assign and to compute teared blocks of sparse matrix at each parallel processors. The testing to insure accuracy of developed method have been done on serial computer by trying to simulate a parallel environment.

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