• 제목/요약/키워드: Sparse Systems

검색결과 270건 처리시간 0.028초

대형 스파스 행렬로 표현되는 선형시스템 방정식의 해를 구하기 위한 지능적 병렬 반복법 (Intelligent Parallel Iterative Methods for Solving Linear Systems of Equations with Large Sparse Matrices)

  • 채수환;김명규
    • 한국항행학회논문지
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    • 제13권1호
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    • pp.62-67
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    • 2009
  • VLSI 설계를 위한 회로 시뮬레이션, 영상처리, 구조 공학, 항공역학 등 공학 분야에서 대형 선형시스템 방정식의 해를 구하기 위해 고성능 컴퓨터에 대한 요구가 증가되고 있다. 이런 요구를 충족하기 위해 많은 다양한 병렬처리시스템이 제안되고 제작되고 있다. 선형시스템의 특성에 따라 그 해를 구하기 위한 적절한 알고리즘이 필요하다. 선형시스템 방정식의 해를 구하기 위해 여러 가지 직접법, 반복법이 사용되고 있다. 본 연구에서는 대형 스파스 행렬 형태를 가진 선형시스템 방정식의 해를 구하기 위해 지능적인 병렬반복법을 제안하고 효율성을 시뮬레이션에 의해 증명하였다.

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스파스 벡터 기법을 이용한 전력계통 분할 알고리즘의 개발 (A Design of Diakoptic Method based on Sparse Vector Method for the Power System)

  • 이춘모;조인숙;신명철
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1991년도 하계학술대회 논문집
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    • pp.426-431
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    • 1991
  • Diakoptic method applied to analyze large power system, always require the efficient tearing algorithm. But conventional tearing methods is not suitable to apply practical power system. This paper presents new tearing algorithm based on factorization path concept of sparse vector method, and applied MPRLD, a kind of optimal ordering algorithm, in ordering step to improve the efficiency of tearing algorithm. Test result of model systems shows that new proposed method in this paper is enable to tear power systems not to be teared by heuristic cluster method, reduces computing time and memory size.

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신장 트리 기반 표현과 MAX CUT 문제로의 응용 (A Spanning Tree-based Representation and Its Application to the MAX CUT Problem)

  • 현수환;김용혁;서기성
    • 제어로봇시스템학회논문지
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    • 제18권12호
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    • pp.1096-1100
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    • 2012
  • Most of previous genetic algorithms for solving graph problems have used a vertex-based encoding. We proposed an edge encoding based new genetic algorithm using a spanning tree. Contrary to general edge-based encoding, a spanning tree-based encoding represents only feasible partitions. As a target problem, we adopted the MAX CUT problem, which is well known as a representative NP-hard problem, and examined the performance of the proposed genetic algorithm. The experiments on benchmark graphs are executed and compared with vertex-based encoding. Performance improvements of the spanning tree-based encoding on sparse graphs was observed.

Computationally efficient variational Bayesian method for PAPR reduction in multiuser MIMO-OFDM systems

  • Singh, Davinder;Sarin, Rakesh Kumar
    • ETRI Journal
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    • 제41권3호
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    • pp.298-307
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    • 2019
  • This paper investigates the use of the inverse-free sparse Bayesian learning (SBL) approach for peak-to-average power ratio (PAPR) reduction in orthogonal frequency-division multiplexing (OFDM)-based multiuser massive multiple-input multiple-output (MIMO) systems. The Bayesian inference method employs a truncated Gaussian mixture prior for the sought-after low-PAPR signal. To learn the prior signal, associated hyperparameters and underlying statistical parameters, we use the variational expectation-maximization (EM) iterative algorithm. The matrix inversion involved in the expectation step (E-step) is averted by invoking a relaxed evidence lower bound (relaxed-ELBO). The resulting inverse-free SBL algorithm has a much lower complexity than the standard SBL algorithm. Numerical experiments confirm the substantial improvement over existing methods in terms of PAPR reduction for different MIMO configurations.

Massive MIMO Channel Estimation Algorithm Based on Weighted Compressed Sensing

  • Lv, Zhiguo;Wang, Weijing
    • Journal of Information Processing Systems
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    • 제17권6호
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    • pp.1083-1096
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    • 2021
  • Compressed sensing-based matching pursuit algorithms can estimate the sparse channel of massive multiple input multiple-output systems with short pilot sequences. Although they have the advantages of low computational complexity and low pilot overhead, their accuracy remains insufficient. Simply multiplying the weight value and the estimated channel obtained in different iterations can only improve the accuracy of channel estimation under conditions of low signal-to-noise ratio (SNR), whereas it degrades accuracy under conditions of high SNR. To address this issue, an improved weighted matching pursuit algorithm is proposed, which obtains a suitable weight value uop by training the channel data. The step of the weight value increasing with successive iterations is calculated according to the sparsity of the channel and uop. Adjusting the weight value adaptively over the iterations can further improve the accuracy of estimation. The results of simulations conducted to evaluate the proposed algorithm show that it exhibits improved performance in terms of accuracy compared to previous methods under conditions of both high and low SNR.

오토인코더를 이용한 딥러닝 기반 추천시스템 모형의 비교 연구 (Comparison of deep learning-based autoencoders for recommender systems)

  • 이효진;정윤서
    • 응용통계연구
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    • 제34권3호
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    • pp.329-345
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    • 2021
  • 추천 시스템은 고객의 데이터를 이용하여 개인 맞춤화된 상품을 추천한다. 추천 시스템은 협업 필터링, 콘텐츠 기반 필터링 그리고 이 두 가지를 합친 하이브리드 방법의 세 가지로 크게 나누어진다. 이 연구에서는 딥러닝 방법론에 기초한 오토인코더를 이용한 추천 시스템에 대한 소개와 그 모형들의 비교 연구를 진행한다. 오토인코더는 데이터 행렬에 0이 많은 경우의 문제를 효과적으로 다룰 수 있는 딥러닝 기반의 비지도학습 모형이다. 이 연구에서는 세 개의 실제 데이터를 이용하여 다섯 가지 종류의 오토인코더 기반 모형들을 비교한다. 처음의 세 개 모형은 협업 필터링에 속한 모형이고 나머지 두 개의 모형은 하이브리드 모형이다. 실제 데이터는 고객의 평점 데이터이고, 대부분의 평점이 없어서 희박성 비율이 높다는 특징이 있다.

AN ASSESSMENT OF PARALLEL PRECONDITIONERS FOR THE INTERIOR SPARSE GENERALIZED EIGENVALUE PROBLEMS BY CG-TYPE METHODS ON AN IBM REGATTA MACHINE

  • Ma, Sang-Back;Jang, Ho-Jong
    • Journal of applied mathematics & informatics
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    • 제25권1_2호
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    • pp.435-443
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    • 2007
  • Computing the interior spectrum of large sparse generalized eigenvalue problems $Ax\;=\;{\lambda}Bx$, where A and b are large sparse and SPD(Symmetric Positive Definite), is often required in areas such as structural mechanics and quantum chemistry, to name a few. Recently, CG-type methods have been found useful and hence, very amenable to parallel computation for very large problems. Also, as in the case of linear systems proper choice of preconditioning is known to accelerate the rate of convergence. After the smallest eigenpair is found we use the orthogonal deflation technique to find the next m-1 eigenvalues, which is also suitable for parallelization. This offers advantages over Jacobi-Davidson methods with partial shifts, which requires re-computation of preconditioner matrx with new shifts. We consider as preconditioners Incomplete LU(ILU)(0) in two variants, ever-relaxation(SOR), and Point-symmetric SOR(SSOR). We set m to be 5. We conducted our experiments on matrices from discretizations of partial differential equations by finite difference method. The generated matrices has dimensions up to 4 million and total number of processors are 32. MPI(Message Passing Interface) library was used for interprocessor communications. Our results show that in general the Multi-Color ILU(0) gives the best performance.

다중반송파 시스템의 정합추구 기반 희소 다중경로 채널 추정 (Matching Pursuit Based Sparse Multipath Channel Estimation for Multicarrier Systems)

  • 김시현
    • 전기전자학회논문지
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    • 제16권3호
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    • pp.258-264
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    • 2012
  • 주파수 선택적 페이딩 채널을 위한 선형 채널 추정 방식의 성능은 파일럿의 개수에 비례하므로 채널 추정의 정확도를 높이기 위해서 많은 파일럿을 쓰지 않을 수 없으며 필연적으로 전송 효율성이 낮아지는 단점이 있다. 또한 다중경로 채널의 희소(sparse)한 특성을 활용하지 않고 있다. 본 논문에서는 압축센싱 기법을 이용하여 아주 적은 수의 파일럿으로 희소한 채널을 추정하는 정합추구 기반 알고리듬과 간섭도(coherence)를 최소화하기 위한 파일럿 배치 방법을 제안한다. 또한 모의 실험을 통해 LS (least square) 채널 추정 방식보다 적은 수의 파일럿으로 우수한 채널 추정 성능을 보임을 확인한다.

Dynamic Synchronous Phasor Measurement Algorithm Based on Compressed Sensing

  • Yu, Huanan;Li, Yongxin;Du, Yao
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제14권1호
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    • pp.53-76
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    • 2020
  • The synchronous phasor measurement algorithm is the core content of the phasor measurement unit. This manuscript proposes a dynamic synchronous phasor measurement algorithm based on compressed sensing theory. First, a dynamic signal model based on the Taylor series was established. The dynamic power signal was preprocessed using a least mean square error adaptive filter to eliminate interference from noise and harmonic components. A Chirplet overcomplete dictionary was then designed to realize a sparse representation. A reduction of the signal dimension was next achieved using a Gaussian observation matrix. Finally, the improved orthogonal matching pursuit algorithm was used to realize the sparse decomposition of the signal to be detected, the amplitude and phase of the original power signal were estimated according to the best matching atomic parameters, and the total vector error index was used for an error evaluation. Chroma 61511 was used for the output of various signals, the simulation results of which show that the proposed algorithm cannot only effectively filter out interference signals, it also achieves a better dynamic response performance and stability compared with a traditional DFT algorithm and the improved DFT synchronous phasor measurement algorithm, and the phasor measurement accuracy of the signal is greatly improved. In practical applications, the hardware costs of the system can be further reduced.

Application of couple sparse coding ensemble on structural damage detection

  • Fallahian, Milad;Khoshnoudian, Faramarz;Talaei, Saeid
    • Smart Structures and Systems
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    • 제21권1호
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    • pp.1-14
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    • 2018
  • A method is proposed to detect structural damages in the presence of damping using noisy data. This method uses Frequency Response Function (FRF) and Mode-Shapes as the input parameters for a system of Couple Sparse Coding (CSC) to study the healthy state of the structure. To obtain appropriate patterns of FRF for CSC training, Principal Component Analysis (PCA) technique is adopted to reduce the full-size FRF to overcome over-fitting and convergence problems in machine-learning training. To verify the proposed method, a numerical two-story frame structure is employed. A system of individual CSCs is trained with FRFs and mode-shapes, and then termed ensemble to detect the health condition of the structure. The results demonstrate that the proposed method is accurate in damage identification even in presence of up to 20% noisy data and 5% unconsidered damping ratio. Furthermore, it can be concluded that CSC ensemble is highly efficient to detect the location and the severity of damages in comparison to the individual CSC trained only with FRF data.