• Title/Summary/Keyword: Truncation Function

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Mode Truncation Method in Frequency Response Analysis (주파수 응답해석의 모드 축약법)

  • 조태민;이은경;임경화
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.12a
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    • pp.91-94
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    • 2001
  • In the frequency response analysis using a modal method, it is very important to determine the number of modes involved with the formulation of a frequency response function. Most engineers are inclined to determine mode truncation with their experience. But it is difficult for non-experts to decide the mode truncation reasonably in many problems of dynamic analyses. In this study, fuzzy theory is used to standardize the empirical determination of mode truncation so that not only the experts but also non-experts can decide a proper mode truncation easily. Fuzzy rule base is based on the simulation results using finite element method. Numerical simulations show that the developed mode truncation method is a very effective method to choose the number of the considered modes.

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Bootstrapped Confidence Bands for Quantile Function under LTRC Model

  • Cho, Kil-Ho;Chae, Hyeon-Sook;Choi, Dal-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.8 no.1
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    • pp.49-58
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    • 1997
  • We consider the quantile function for the bootstrapped product limit estimate under left truncation and right censoring model and show its weak convergence. We also obtain bootstrapped confidence bands for the quantile function.

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Mode Truncation Method in Frequency Response Analysis (주파수 응답해석의 모드 축약법)

  • Cho, Tae-Min;Lee, Eun-Kyoung;Seo, Hwa-Il;Rim, Kyung-Hwa
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.1
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    • pp.39-43
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    • 2002
  • In the frequency response analysis using a modal method, it is very important to determine the number of modes involved with the formulation of a frequency response function. Most engineers are inclined to determine mode truncation with their experience. But it is difficult for non-experts to decide the mode truncation reasonably in many problems of dynamic analyses. In this study, fuzzy theory is used to standardize the empirical determination of mode truncation so that not only the experts but also non-experts can decide a Proper mode truncation easily. Fuzzy rule base is based on the simulation results using finite element method. Numerical simulations show that the developed mode truncation method is a very effective method to choose the number of the considered modes.

Hidden truncation circular normal distribution

  • Kim, Sung-Su;Sengupta, Ashis
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.4
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    • pp.797-805
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    • 2012
  • Many circular distributions are known to be not only asymmetric but also bimodal. Hidden truncation method of generating asymmetric distribution is applied to a bivariate circular distribution to generate an asymmetric circular distribution. While many other existing asymmetric circular distributions can only model an asymmetric data, this new circular model has great flexibility in terms of asymmetry and bi-modality. Some properties of the new model, such as the trigonometric moment generating function, and asymptotic inference about the truncation parameter are presented. Simulation and real data examples are provided at the end to demonstrate the utility of the novel distribution.

HRTF Filter Design Using Balanced Model Truncation (BMT를 이용한 HRTF 필터 설계)

  • 김동현;김기만
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 1998.11a
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    • pp.424-427
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    • 1998
  • 입체음향 시스템의 방향감 제어에서 필수적인 머리전달함수(Head-Related Transfer Function)는 일반적으로 FIR 또는 IIR 필터로 구현되며, IIR 필터의 경우 FIR 보다 비교적 저차 모델링이 가능한 장점을 갖는다. 본 논문에서는 Balanced Model Truncation(BMT)를 이용하여 비교적 높은 차수를 가지는 FIR 필터를 IIR 필터로 설계하여 입체음향 시스템의 실시간 구현시 필수적인 계산의 효율을 높이는 방법을 제시하고, 기존의 방법과의 성능의 비교 평가를 하고자 한다.

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Truncation Parameter Selection in Binary Choice Models (이항 선택 모형에서의 절단 모수 선택)

  • Kim, Kwang-Rae;Cho, Kyu-Dong;Koo, Ja-Yong
    • Communications for Statistical Applications and Methods
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    • v.17 no.6
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    • pp.811-827
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    • 2010
  • This paper deals with a density estimation method in binary choice models that can be regarded as a statistical inverse problem. We use an orthogonal basis to estimate density function and consider the choice of an appropriate truncation parameter to reflect the model complexity and the prediction accuracy. We propose a data-dependent rule to choose the truncation parameter in the context of binary choice models. A numerical simulation is provided to illustrate the performance of the proposed method.

Development of a Reporter System for In Vivo Monitoring of γ-Secretase Activity in Drosophila

  • Hong, Young Gi;Roh, Seyun;Paik, Donggi;Jeong, Sangyun
    • Molecules and Cells
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    • v.40 no.1
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    • pp.73-81
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    • 2017
  • The ${\gamma}$-secretase complex represents an evolutionarily conserved family of transmembrane aspartyl proteases that cleave numerous type-I membrane proteins, including the ${\beta}$-amyloid precursor protein (APP) and the receptor Notch. All known rare mutations in APP and the ${\gamma}$-secretase catalytic component, presenilin, which lead to increased amyloid ${\beta}$-peptide production, are responsible for early-onset familial Alzheimer's disease. ${\beta}$-amyloid protein precursor-like (APPL) is the Drosophila ortholog of human APP. Here, we created Notch- and APPL-based Drosophila reporter systems for in vivo monitoring of ${\gamma}$-secretase activity. Ectopic expression of the Notch- and APPL-based chimeric reporters in wings results in vein truncation phenotypes. Reporter-mediated vein truncation phenotypes are enhanced by the Notch gain-of-function allele and suppressed by RNAi-mediated knockdown of presenilin. Furthermore, we find that apoptosis partly contributes to the vein truncation phenotypes of the APPL-based reporter, but not to the vein truncation phenotypes of the Notch-based reporter. Taken together, these results suggest that both in vivo reporter systems provide a powerful genetic tool to identify genes that modulate ${\gamma}$-secretase activity and/or APPL metabolism.

Identification of MIMO State Space Model based on MISO High-order ARX Model: Design and Application (MISO 고차 ARX 모델 기반의 MIMO 상태공간 모델의 모델인식: 설계와 적용)

  • Won, Wangyun;Yoon, Jieun;Lee, Kwang Soon;Lee, Bongkook
    • Korean Chemical Engineering Research
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    • v.45 no.1
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    • pp.67-72
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    • 2007
  • An efficient method for identification of MIMO state space model has been developed by combining partial least squares (PLS) regression, balanced realization, and balanced truncation. In the developed method, a MIMO system is decomposed into multiple MISO systems each of which is represented by a high-order ARX model and the parameters of the ARX models are estimated by PLS. Then, MISO state space models for respective MISO ARX transfer function are found through realization and combined to a MIMO state space model. Finally, a minimal balanced MIMO state space model is obtained through balanced realization and truncation. The proposed method was applied to the design of model predictive control for temperature control of a high pressure $CO_2$ solubility measurement system.

Quantification of Cerebral Blood Flow Measurements by Magnetic Resonance Imaging Bolus Tracking

  • Park Byung-Rae
    • Biomedical Science Letters
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    • v.11 no.2
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    • pp.129-134
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    • 2005
  • Three different deconvolution techniques for quantifying cerebral blood flow (CBF) from whole brain $T2^{\ast}-weighted$ bolus tracking images were implemented (parametric Fourier transform P-FT, parametric single value decomposition P-SVD and nonparametric single value decomposition NP-SVD). The techniques were tested on 206 regions from 38 hyperacute stroke patients. In the P-FT and P-SVD techniques, the tissue and arterial concentration time curves were fit to a gamma variate function and the resulting CBF values correlated very well $(CBF_{P-FT}\;=\;1.02{\cdot}CBF_{p-SVD},\;r^2\;=\;0.96)$. The NP-SVD CBF values correlated well with the P-FT CBF values only when a sufficient number of time series volumes were acquired to minimize tracer time curve truncation $(CBF_{P-FT}\;=\;0.92{\cdot}CBF_{NP-SVD},\;r^2\;=\;0.88)$. The correlation between the fitted CBV and the unfitted CBV values was also maximized in regions with minimal tracer time curve truncation $(CBV_{fit}\;=\;1.00{\cdot}CBV_{ Unfit},\;^r^2\;=\;0.89)$. When a sufficient number of time series volumes could not be acquired (due to scanner limitations) to avoid tracer time curve truncation, the P-FT and P-SVD techniques gave more reliable estimates of CBF than the NP-SVD technique.

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