• Title/Summary/Keyword: Sparse matrix

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Random Partial Haar Wavelet Transformation for Single Instruction Multiple Threads (단일 명령 다중 스레드 병렬 플랫폼을 위한 무작위 부분적 Haar 웨이블릿 변환)

  • Park, Taejung
    • Journal of Digital Contents Society
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    • v.16 no.5
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    • pp.805-813
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    • 2015
  • Many researchers expect the compressive sensing and sparse recovery problem can overcome the limitation of conventional digital techniques. However, these new approaches require to solve the l1 norm optimization problems when it comes to signal reconstruction. In the signal reconstruction process, the transform computation by multiplication of a random matrix and a vector consumes considerable computing power. To address this issue, parallel processing is applied to the optimization problems. In particular, due to huge size of original signal, it is hard to store the random matrix directly in memory, which makes one need to design a procedural approach in handling the random matrix. This paper presents a new parallel algorithm to calculate random partial Haar wavelet transform based on Single Instruction Multiple Threads (SIMT) platform.

Acceleration of ECC Computation for Robust Massive Data Reception under GPU-based Embedded Systems (GPU 기반 임베디드 시스템에서 대용량 데이터의 안정적 수신을 위한 ECC 연산의 가속화)

  • Kwon, Jisu;Park, Daejin
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.24 no.7
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    • pp.956-962
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    • 2020
  • Recently, as the size of data used in an embedded system increases, the need for an ECC decoding operation to robustly receive a massive data is emphasized. In this paper, we propose a method to accelerate the execution of computations that derive syndrome vectors when ECC decoding is performed using Hamming code in an embedded system with a built-in GPU. The proposed acceleration method uses the matrix-vector multiplication of the decoding operation using the CSR format, one of the data structures representing sparse matrix, and is performed in parallel in the CUDA kernel of the GPU. We evaluated the proposed method using a target embedded board with a GPU, and the result shows that the execution time is reduced when ECC decoding operation accelerated based on the GPU than used only CPU.

Performance of covariance matrix fitting-based direction-of-arrival estimation algorithm using compressed sensing in the frequency domain (주파수 영역에서 공분산 행렬 fitting 기반 압축센싱 도래각 추정 알고리즘의 성능)

  • Zhang, Xueyang;Paik, Ji Woong;Hong, Wooyoung;Ahn, Jae-Kyun;Kim, Seongil;Lee, Joon-Ho
    • The Journal of the Acoustical Society of Korea
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    • v.36 no.6
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    • pp.394-400
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    • 2017
  • This paper shows the extension of SpSF (Sparse Spectrum Fitting) algorithm, which is one of covariance matrix fitting-based DOA (Direction-of-Arrival) estimation algorithms, from the time domain to the frequency domain, and presents that SpSF can be implemented in the frequency domain. The superiority of the SpSF algorithm has been demonstrated by comparing DOA estimation performance with the performance of Conventional DOA estimation algorithm in the frequency domain for sinusoidal incident signals.

A Study on Adaptive Sparse Matrix Beamforming Algorithm of Error Beam Steering Vector for Target Estimation (목표물 추정을 위한 오차 빔 지향벡터의 적응 회소 행렬 빔형성 알고리즘 연구)

  • Kang, Kyoung Sik
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.7 no.2
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    • pp.111-116
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    • 2014
  • In this paper, we estimates the direction of arrival of desired a target using linear array antenna in wireless communication. Direction of arrival estimation is to estimate for desired target position among incident signals on receiver array antennas. This paper improved estimation of direction of arrival for target using optimum weight, high resolution adaptive beamforming algorithm, and sparse matrix for driection of arrival estimation. Through simulation, we showed that we are performance the analysis to compare general algorithm with proposed algorithm. We show that propose algorithm more improve for direction of estimation than general beamforming algorithm.

Network Coding for Energy-Efficient Distributed Storage System in Wireless Sensor Networks

  • Wang, Lei;Yang, Yuwang;Zhao, Wei;Lu, Wei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.7 no.9
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    • pp.2134-2153
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    • 2013
  • A network-coding-based scheme is proposed to improve the energy efficiency of distributed storage systems in WSNs (Wireless Sensor Networks). We mainly focus on two problems: firstly, consideration is given to effective distributed storage technology; secondly, we address how to effectively repair the data in failed storage nodes. For the first problem, we propose a method to obtain a sparse generator matrix to construct network codes, and this sparse generator matrix is proven to be the sparsest. Benefiting from this matrix, the energy consumption required to implement distributed storage is reduced. For the second problem, we designed a network-coding-based iterative repair method, which adequately utilizes the idea of re-encoding at intermediate nodes from network coding theory. Benefiting from the re-encoding, the energy consumption required by data repair is significantly reduced. Moreover, we provide an explicit lower bound of field size required by this scheme, which implies that it can work over a small field and the required computation overhead is very low. The simulation result verifies that the proposed scheme not only reduces the total energy consumption required to implement distributed storage system in WSNs, but also balances energy consumption of the networks.

A fast precise integration method for structural dynamics problems

  • Gao, Q.;Wu, F.;Zhang, H.W.;Zhong, W.X.;Howson, W.P.;Williams, F.W.
    • Structural Engineering and Mechanics
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    • v.43 no.1
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    • pp.1-13
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    • 2012
  • A fast precise integration method (FPIM) is proposed for solving structural dynamics problems. It is based on the original precise integration method (PIM) that utilizes the sparse nature of the system matrices and especially the physical features found in structural dynamics problems. A physical interpretation of the matrix exponential is given, which leads to an efficient algorithm for both its evaluation and subsequently the solution of large-scale structural dynamics problems. The proposed algorithm is accurate, efficient and requires less computer storage than previous techniques.

An efficient parallel solution algorithm on the linear second-order partial differential equations with large sparse matrix being based on the block cyclic reduction technique (Block Cyclic Reduction 기법에 의한 대형 Sparse Matrix 선형 2계편미분방정식의 효율적인 병렬 해 알고리즘)

  • 이병홍;김정선
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.15 no.7
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    • pp.553-564
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    • 1990
  • The co-efficient matrix of linear second-order partial differential equations in the general form is partitioned with (n-1)x(n-1) submartices and is transformed into the block tridiagonal system. Then the cyclic odd-even reduction technique is applied to this system with the large-grain data granularity and the block cyclic reduction algorithm to solve unknown vectors of this system is created. But this block cyclic reduction technique is not suitable for the parallel processing system because of its parallelism chanigng at every computing stages. So a new algorithm for solving linear second-order partical differential equations is presentes by the block cyclic reduction technique which is modified in order to keep its parallelism constant, and to reduce gteatly its execution time. Both of these algoriths are compared and studied.

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Transitive Similarity Evaluation Model for Improving Sparsity in Collaborative Filtering (협업필터링의 희박 행렬 문제를 위한 이행적 유사도 평가 모델)

  • Bae, Eun-Young;Yu, Seok-Jong
    • The Journal of Korean Institute of Information Technology
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    • v.16 no.12
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    • pp.109-114
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    • 2018
  • Collaborative filtering has been widely utilized in recommender systems as typical algorithm for outstanding performance. Since it depends on item rating history structurally, The more sparse rating matrix is, the lower its recommendation accuracy is, and sometimes it is totally useless. Variety of hybrid approaches have tried to combine collaborative filtering and content-based method for improving the sparsity issue in rating matrix. In this study, a new method is suggested for the same purpose, but with different perspective, it deals with no-match situation in person-person similarity evaluation. This method is called the transitive similarity model because it is based on relation graph of people, and it compares recommendation accuracy by applying to Movielens open dataset.

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

  • Lee, Hyo Jin;Jung, Yoonsuh
    • The Korean Journal of Applied Statistics
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    • v.34 no.3
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    • pp.329-345
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    • 2021
  • Recommender systems use data from customers to suggest personalized products. The recommender systems can be categorized into three cases; collaborative filtering, contents-based filtering, and hybrid recommender system that combines the first two filtering methods. In this work, we introduce and compare deep learning-based recommender system using autoencoder. Autoencoder is an unsupervised deep learning that can effective solve the problem of sparsity in the data matrix. Five versions of autoencoder-based deep learning models are compared via three real data sets. The first three methods are collaborative filtering and the others are hybrid methods. The data sets are composed of customers' ratings having integer values from one to five. The three data sets are sparse data matrix with many zeroes due to non-responses.

Music Transcription Using Non-Negative Matrix Factorization (비음수 행렬 분해 (NMF)를 이용한 악보 전사)

  • Park, Sang-Ha;Lee, Seok-Jin;Sung, Koeng-Mo
    • The Journal of the Acoustical Society of Korea
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    • v.29 no.2
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    • pp.102-110
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    • 2010
  • Music transcription is extracting pitch (the height of a musical note) and rhythm (the length of a musical note) information from audio file and making a music score. In this paper, we decomposed a waveform into frequency and rhythm components using Non-Negative Matrix Factorization (NMF) and Non-Negative Sparse coding (NNSC) which are often used for source separation and data clustering. And using the subharmonic summation method, fundamental frequency is calculated from the decomposed frequency components. Therefore, the accurate pitch of each score can be estimated. The proposed method successfully performed music transcription with its results superior to those of the conventional methods which used either NMF or NNSC.