• 제목/요약/키워드: decomposition of number

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Ambient modal identification of structures equipped with tuned mass dampers using parallel factor blind source separation

  • Sadhu, A.;Hazraa, B.;Narasimhan, S.
    • Smart Structures and Systems
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    • 제13권2호
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    • pp.257-280
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    • 2014
  • In this paper, a novel PARAllel FACtor (PARAFAC) decomposition based Blind Source Separation (BSS) algorithm is proposed for modal identification of structures equipped with tuned mass dampers. Tuned mass dampers (TMDs) are extremely effective vibration absorbers in tall flexible structures, but prone to get de-tuned due to accidental changes in structural properties, alteration in operating conditions, and incorrect design forecasts. Presence of closely spaced modes in structures coupled with TMDs renders output-only modal identification difficult. Over the last decade, second-order BSS algorithms have shown significant promise in the area of ambient modal identification. These methods employ joint diagonalization of covariance matrices of measurements to estimate the mixing matrix (mode shape coefficients) and sources (modal responses). Recently, PARAFAC BSS model has evolved as a powerful multi-linear algebra tool for decomposing an $n^{th}$ order tensor into a number of rank-1 tensors. This method is utilized in the context of modal identification in the present study. Covariance matrices of measurements at several lags are used to form a $3^{rd}$ order tensor and then PARAFAC decomposition is employed to obtain the desired number of components, comprising of modal responses and the mixing matrix. The strong uniqueness properties of PARAFAC models enable direct source separation with fine spectral resolution even in cases where the number of sensor observations is less compared to the number of target modes, i.e., the underdetermined case. This capability is exploited to separate closely spaced modes of the TMDs using partial measurements, and subsequently to estimate modal parameters. The proposed method is validated using extensive numerical studies comprising of multi-degree-of-freedom simulation models equipped with TMDs, as well as with an experimental set-up.

TLU형 FPGA를 위한 새로운 다출력 함수 기술 매핑 알고리즘 (New Technology Mapping Algorithm of Multiple-Output Functions for TLU-Type FPGAs)

  • 박장현;김보관
    • 한국정보처리학회논문지
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    • 제4권11호
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    • pp.2923-2930
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    • 1997
  • 본 논문에서는 최근에 관심을 모으고 있는Table Look- Up형의 FPGA를 위한 다출력 함수로직 합성 알고리즘에 대해 기술한다. 본 고에서 제안하는 TLU형 FPGA를 위한 다출력 함수 로직 합성 방법은 기능적 분해 방법을 사용하였으며, 이 방법을 이용한 2가지의 새로운 알고리즘을 설명한다. 첫번째는 한 출력에 적용한 Rofh-Karp 알고리즘을 다출력에 웅용할 수 있도록 확장하였으며, 두 번째는 분해과정에서 공통 분해 함수를 찾는 효과적 인 알고리즘을 제안한다. 기술 매핑의 최적화 대상은 CLB 개수를 고려했으며, 벤치마크 테스트를 통한 일반적인 회로에 적용성 검증, 기존 알고리즘과의 성능 비교 및 개선에 대해 연구하였다. 논리 설계 합성기 구성 과정에서 새로운 알고리즘을 구현하여 실험한 결과를 기존의 다출력 함수 분해 방법과 비교하면 CLB 의 개수, 네트 수 등 성능과 수행 시간에서 매우 만족할 만한 결과를 얻었다.

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An Orthogonal Representation of Estimable Functions

  • Yi, Seong-Baek
    • Communications for Statistical Applications and Methods
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    • 제15권6호
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    • pp.837-842
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    • 2008
  • Students taking linear model courses have difficulty in determining which parametric functions are estimable when the design matrix of a linear model is rank deficient. In this note a special form of estimable functions is presented with a linear combination of some orthogonal estimable functions. Here, the orthogonality means the least squares estimators of the estimable functions are uncorrelated and have the same variance. The number of the orthogonal estimable functions composing the special form is equal to the rank of the design matrix. The orthogonal estimable functions can be easily obtained through the singular value decomposition of the design matrix.

ON THE EXPONENTIAL INEQUALITY FOR NEGATIVE DEPENDENT SEQUENCE

  • Kim, Tae-Sung;Kim, Hyun-Chull
    • 대한수학회논문집
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    • 제22권2호
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    • pp.315-321
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    • 2007
  • We show an exponential inequality for negatively associated and strictly stationary random variables replacing an uniform boundedness assumption by the existence of Laplace transforms. To obtain this result we use a truncation technique together with a block decomposition of the sums. We also identify a convergence rate for the strong law of large number.

An Efficient Interpolation FIR Filter Using LUT

  • Kim, Dae-Ik;Lee, Chang-Ki
    • Journal of information and communication convergence engineering
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    • 제7권2호
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    • pp.219-222
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    • 2009
  • An efficient interpolation FIR filter structure for high-density and low-power electronic devices is proposed. The proposed structure is based on polyphase decomposition property and look-up table method. By computer-aided design simulations, it is shown that the use of the proposed method can result in reduction in the number of gates by 54% and can reduce power consumption by 9%.

Pseudoinverse Matrix Decomposition Based Incremental Extreme Learning Machine with Growth of Hidden Nodes

  • Kassani, Peyman Hosseinzadeh;Kim, Euntai
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제16권2호
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    • pp.125-130
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    • 2016
  • The proposal of this study is a fast version of the conventional extreme learning machine (ELM), called pseudoinverse matrix decomposition based incremental ELM (PDI-ELM). One of the main problems in ELM is to determine the number of hidden nodes. In this study, the number of hidden nodes is automatically determined. The proposed model is an incremental version of ELM which adds neurons with the goal of minimization the error of the ELM network. To speed up the model the information of pseudoinverse from previous step is taken into account in the current iteration. To show the ability of the PDI-ELM, it is applied to few benchmark classification datasets in the University of California Irvine (UCI) repository. Compared to ELM learner and two other versions of incremental ELM, the proposed PDI-ELM is faster.

Identification and Determination of Oil Pollutants Based on 3-D Fluorescence Spectrum Combined with Self-weighted Alternating Trilinear Decomposition Algorithm

  • Cheng, Pengfei;Wang, Yutian;Chen, Zhikun;Yang, Zhe
    • Journal of the Optical Society of Korea
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    • 제20권1호
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    • pp.204-211
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    • 2016
  • Oil pollution seriously endangers the biological environment and human health. Due to the diversity of oils and the complexity of oil composition, it is of great significance to identify the oil contaminants. The 3-D fluorescence spectrum combined with a second order correction algorithm was adopted to measure an oil mixture with overlapped fluorescence spectra. The self-weighted alternating trilinear decomposition (SWATLD) is a kind of second order correction, which has developed rapidly in recent years. Micellar solutions of #0 diesel, #93 gasoline and ordinary kerosene in different concentrations were made up. The 3-D fluorescence spectra of the mixed oil solutions were measured by a FLS920 fluorescence spectrometer. The SWATLD algorithm was applied to decompose the spectrum data. The predict concentration and recovery rate obtained by the experiment show that the SWATLD algorithm has advantages of insensitivity to component number and high resolution for mixed oils.

T-게이트 통합 모듈에 의한 조합 MVL 함수의 구성 (Construction of Combinational MVL Function Based on T-Gate Integrated Module)

  • 박동영;최재석;김흥수
    • 대한전자공학회논문지
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    • 제26권11호
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    • pp.1839-1849
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    • 1989
  • An optimal variable assignment algorithm is presented as a decomposition method of MVL functions. A given 3-valued combinational logic function is disintegrated into subfunction composed of the function dependant relation, then extracted implicant output elements from subfunctions are assigned to a T-gates. As a circuit implementation tool, a programmable integarated T-gate module is proposed, and the construction procedure of combinational MVL functions is systematized in each step. This method is expected to give properties of the systematic procedure, possibility of T-gate number reduction, unification of module, and flexibility of module composition. Specially variable decomposition method can be pointed out as an approach to solving the limitation problem of the input and output terminal number in VLSI implementations.

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The Development of Gamma Energy Identifying Algorithm for Compact Radiation Sensors Using Stepwise Refinement Technique

  • Yoo, Hyunjun;Kim, Yewon;Kim, Hyunduk;Yi, Yun;Cho, Gyuseong
    • Journal of Radiation Protection and Research
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    • 제42권2호
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    • pp.91-97
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    • 2017
  • Background: A gamma energy identifying algorithm using spectral decomposition combined with smoothing method was suggested to confirm the existence of the artificial radio isotopes. The algorithm is composed by original pattern recognition method and smoothing method to enhance the performance to identify gamma energy of radiation sensors that have low energy resolution. Materials and Methods: The gamma energy identifying algorithm for the compact radiation sensor is a three-step of refinement process. Firstly, the magnitude set is calculated by the original spectral decomposition. Secondly, the magnitude of modeling error in the magnitude set is reduced by the smoothing method. Thirdly, the expected gamma energy is finally decided based on the enhanced magnitude set as a result of the spectral decomposition with the smoothing method. The algorithm was optimized for the designed radiation sensor composed of a CsI (Tl) scintillator and a silicon pin diode. Results and Discussion: The two performance parameters used to estimate the algorithm are the accuracy of expected gamma energy and the number of repeated calculations. The original gamma energy was accurately identified with the single energy of gamma radiation by adapting this modeling error reduction method. Also the average error decreased by half with the multi energies of gamma radiation in comparison to the original spectral decomposition. In addition, the number of repeated calculations also decreased by half even in low fluence conditions under $10^4$ ($/0.09cm^2$ of the scintillator surface). Conclusion: Through the development of this algorithm, we have confirmed the possibility of developing a product that can identify artificial radionuclides nearby using inexpensive radiation sensors that are easy to use by the public. Therefore, it can contribute to reduce the anxiety of the public exposure by determining the presence of artificial radionuclides in the vicinity.

Prediction of Thermal Decomposition Temperature of Polymers Using QSPR Methods

  • Ajloo, Davood;Sharifian, Ali;Behniafar, Hossein
    • Bulletin of the Korean Chemical Society
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    • 제29권10호
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    • pp.2009-2016
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    • 2008
  • The relationship between thermal decomposition temperature and structure of a new data set of eighty monomers of different polymers were studied by multiple linear regression (MLR). The stepwise method was used in order to variable selection. The best descriptors were selected from over 1400 descriptors including; topological, geometrical, electronic and hybrid descriptors. The effect of number of descriptors on the correlation coefficient (R) and F-ratio were considered. Two models were suggested, one model having four descriptors ($R^2$ = 0.894, $Q^2_{cv}$ = 0.900, F = 172.1) and other model involving 13 descriptors ($R^2$ = 0.956, $Q^2_{cv}$ = 0.956, F = 125.4).