• 한국콘텐츠학회:학술대회논문집
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• 한국콘텐츠학회 2018년도 춘계 종합학술대회 논문집
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• pp.485-486
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• 2018

In this paper, we consider a binary recovery framework of the Compressed Sensing (CS) problem. We derive an upper bound for $L_0$ recovery performance of a binary sparse signal in terms of the dimension N and sparsity K of signals, the number of measurements M. We show that the upper bound obtained from this work goes to the limit bound when the sensing matrix sufficiently become dense. In addition, for perfect recovery performance, if the signals are very sparse, the sensing matrices required for $L_0$ recovery are little more dense.

• 대한전기학회논문지:전기물성ㆍ응용부문C
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• 제49권1호
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• pp.52-58
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• 2000

Signal propagation in nonlinear optical fiber is analyzed numerically by using SS-FEM (Split-Step Finite Element Method). By adopting cubic element function in FEM, soliton equation of which exact solution was well known, has been solved. Also, accuracy of numerical results and computing times are compared with those of Fourier method, and we have found that solution obtained from using FEM was very relatively accurate. Especially, to reduce CPU time in matrix computation in each step, the matrix imposed by the boundary condition is approximated as a sparse matrix. As a result, computation time was shortened even with the same or better accuracy when compared to those of the conventional FEM and Fourier method.

• 대한수학회논문집
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• 제11권4호
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• pp.1175-1185
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• 1996

We study the computation of sparse null bases of equilibrium matrices in the context of structural optimization and incompressible fluid flow. In our approach we emphasize the parallel computatin and examine the applications. New block decomposition and node ordering schemes are suggested, and numerical examples are considered.

• 정보과학회 컴퓨팅의 실제 논문지
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• 제20권11호
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• pp.610-614
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• 2014

많은 과학 데이타처럼 화산재 확산 시뮬레이션 결과는 NetCDF 형식의 군집화된 희소행렬이다. 그리고 크기가 커서 저장과 전송에 많은 비용이 발생한다. 본 논문에서는 다차원 인덱스를 일차원으로 바꾸고 연속된 0을 그 시작점과 길이만을 기록하여 화산재 확산 시뮬레이션 데이터의 크기를 줄이는 방법을 제안한다. 이 방법은 기존의 ZIP 형식으로 압축한 것과 거의 같은 성능을 보이나 NetCDF의 구조는 손상하지 않는다. 제안된 방법에 의하면 데이터 크기가 줄어들어 저장공간의 효율이 높아지고 네트워크 전송시간이 줄어드는 효과를 기대할 수 있을 것이라 사료된다.

• 디지털산업정보학회논문지
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• 제17권4호
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• pp.53-62
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• 2021

Deep learning models such as convolutional neural networks and recurrent neual networks process a huge amounts of data, so they require a lot of storage and consume a lot of time and power due to memory access. Recently, research is being conducted to reduce memory usage and access by compressing data using the feature that many of deep learning data are highly sparse and localized. In this paper, we propose a compression-decompression method of storing only the non-zero data and the location information of the non-zero data excluding zero data. In order to make the location information of non-zero data, the matrix data is divided into sections uniformly. And whether there is non-zero data in the corresponding section is indicated. In this case, section division is not executed only once, but repeatedly executed, and location information is stored in each step. Therefore, it can be properly compressed according to the ratio and distribution of zero data. In addition, we propose a hardware structure that enables compression and decompression without complex operations. It was designed and verified with Verilog, and it was confirmed that it can be used in hardware deep learning accelerators.

• 한국통신학회논문지
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• 제39A권12호
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• pp.739-745
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• 2014

압축 센싱에서 측정 행렬 A의 3s-Restricted Isometry Constant가 1/2 혹은 $1/\sqrt{3}$보다 작다면 모든 s-Sparse 벡터 $x{\in}R^N$는 측정 벡터 y=Ax 또는 잡음이 섞인 벡터 y=Ax+e로부터 Iterative Hard Thresholding (IHT) 알고리즘에 의해 복원될 수 있다. 하지만, 이러한 복원은 신호 획득 기법의 특정한 가정 하에서 실질적인 알고리즘들에 의해 보장된다. 복원을 위한 핵심적인 가정 중에 하나는 측정 행렬이 Restricted Isometry Property (RIP)를 만족해야만 하는 것인데, 이 조건은 압축 센싱의 실제 응용 환경에서 종종 만족되지 않는다. 본 논문에서는 이방성 (Anisotropic) 경우에서 Restricted Biorthogonality Property (RBOP)로 불리는 RIP의 일반화와 Oblique Pursuit으로 불리는 새로운 복구 알고리즘들을 분석한다. 또한, IHT 알고리즘들을 위해 Restricted Biorthogonality Constant의 관점에서 성공적인 Sparse 신호 복원에 대한 분석을 제시한다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제11권7호
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• pp.3594-3607
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• 2017

The traditional feature extraction methods such as principal component analysis (PCA) cannot obtain the local structure of the samples, and locally linear embedding (LLE) cannot obtain the global structure of the samples. However, a common drawback of existing PCA and LLE algorithm is that they cannot deal well with the sparse problem of the samples. Therefore, by integrating the globality of PCA and the locality of LLE with a sparse constraint, we developed an improved and unsupervised difference algorithm called Sparse Difference Embedding (SDE), for dimensionality reduction of high-dimensional data in small sample size problems. Significantly differing from the existing PCA and LLE algorithms, SDE seeks to find a set of perfect projections that can not only impact the locality of intraclass and maximize the globality of interclass, but can also simultaneously use the Lasso regression to obtain a sparse transformation matrix. This characteristic makes SDE more intuitive and more powerful than PCA and LLE. At last, the proposed algorithm was estimated through experiments using the Yale and AR face image databases and the USPS handwriting digital databases. The experimental results show that SDE outperforms PCA LLE and UDP attributed to its sparse discriminating characteristics, which also indicates that the SDE is an effective method for face recognition.

• Journal of Mechanical Science and Technology
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• 제15권8호
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• pp.1090-1096
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• 2001

In this paper, new methods for efficiently solving linear acceleration equations of multibody dynamic simulation exploiting sparsity for real-time simulation are presented. The coefficient matrix of the equations tends to have a large number of zero entries according to the relative joint coordinate numbering. By adequate joint coordinate numbering, the matrix has minimum off-diagonal terms and a block pattern of non-zero entries and can be solved efficiently. The proposed methods, using sparse Cholesky method and recursive block mass matrix method, take advantages of both the special structure and the sparsity of the coefficient matrix to reduce computation time. The first method solves the η$\times$η sparse coefficient matrix for the accelerations, where η denotes the number of relative coordinates. In the second method, for vehicle dynamic simulation, simple manipulations bring the original problem of dimension η$\times$η to an equivalent problem of dimension 6$\times$6 to be solved for the accelerations of a vehicle chassis. For vehicle dynamic simulation, the proposed solution methods are proved to be more efficient than the classical approaches using reduced Lagrangian multiplier method. With the methods computation time for real-time vehicle dynamic simulation can be reduced up to 14 per cent compared to the classical approach.

• 한국정보과학회논문지:소프트웨어및응용
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• 제35권4호
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• pp.255-264
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• 2008

본 논문은 K-means과 비음수 행렬 분해(NMF)를 이용하여 주제기반의 다중문서를 요약하는 새로운 방법을 제안하였다. 제안방법은 비음수 행렬 분해를 이용하여 가중치가 부여된 용어-문장 행렬을 희소(Sparse)한 비음수 의미특징 행렬과 비음수 변수 행렬로 분해함으로써 직관적으로 이해할 수 있는 형태의 의미적 특징을 추출할 수 있고, 주제와 의미특징간의 유사도에 가중치를 부여하여 유사도는 높으나 실제 의미 없는 문장이 추출되는 것을 막는다. 또한 K-means 군집을 이용하여 문장에 포함된 노이즈를 제거함으로써 문서의 의미가 요약에 편향되게 반영하는 것을 피할 수 있고, 추출된 문장에 부여된 순위순서대로 정렬하여 보여 줌으로써 응집성을 높인다. 실험 결과 제안방법이 다른 방법에 비하여 좋은 성능을 보인다.

• 전자공학회논문지A
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• 제32A권9호
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• pp.1244-1249
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• 1995

Wavelet transform technique is applied to two important electromagnetic problems:1) to analyze the frequency-domain radar echo from finite-size targets and 2) to the integral solution of two- dimensional electromagnetic scattering problems. Since the frequency- domain radar echo consists of both small-scale natural resonances and large-scale scattering center information, the multiresolution property of the wavelet transform is well suited for analyzing such ulti-scale signals. Wavelet analysis examples of backscattered data from an open- ended waveguide cavity are presented. The different scattering mechanisms are clearly resolved in the wavelet-domain representation. In the wavelet transform domain, the moment method impedance matrix becomes sparse and sparse matrix algorithms can be utilized to solve the resulting matrix equationl. Using the fast wavelet transform in conjunction with the conjugate gradient method, we present the time performance for the solution of a dihedral corner reflector. The total computational time is found to be reduced.