• Title/Summary/Keyword: $L_{2,1}$ norm

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Resistivity Image Reconstruction Using Interacting Dual-Mode Regularization (상호작용 이중-모드 조정방법을 이용한 저항률 영상 복원)

  • Kang, Suk-In;Kim, Kyung-Youn
    • Journal of IKEEE
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    • v.20 no.2
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    • pp.152-162
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    • 2016
  • Electrical resistivity tomography (ERT) is a technique to reconstruct the internal resistivity distribution using the measured voltages on the surface electrodes. ERT inverse problem suffers from ill-posedness nature, so regularization methods are used to mitigate ill-posedness. The reconstruction performance varies depending on the type of regularization method. In this paper, an interacting dual-mode regularization method is proposed with two different regularization methods, L1-norm regularization and total variation (TV) regularization, to achieve robust reconstruction performance. The interacting dual-mode regularization method selects the suitable regularization method and combines the regularization methods based on computed mode probabilities depending on the actual conditions. The proposed method is tested with numerical simulations and the results demonstrate an improved reconstruction performance.

HARMONIC OPERATORS IN $L^p(V N(G))$

  • Lee, Hun Hee
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.2
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    • pp.319-329
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    • 2012
  • For a norm 1 function ${\sigma}$ in the Fourier-Stieltjes algebra of a locally compact group we define the space of ${\sigma}$-harmonic operators in the non-commutative $L^p$-space associated to the group von Neumann algebra of G. We will investigate some properties of the space and will obtain a precise description of it.

Analysis of Measurement Errors Using Short-Baseline GPS Positioning Model (단기선 GPS측위 모델을 이용한 관측오차 분석)

  • Hong, Chang-Ki;Han, Soohee
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.35 no.6
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    • pp.573-580
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    • 2017
  • Precise stochastic modeling for GPS measurements is one of key factors in adjustment computations for GPS positioning. To analyze the GPS measurement errors, Minimum Norm Quadratic Unbiased Estimators(MINQUE) approach is used in this study to estimate the variance components for measurement types with short-baseline GPS positioning model. The results showed the magnitudes of measurement errors for C1, P2, L1, L2 are 22.3cm, 27.6cm, 2.5mm, 2.2mm, respectively. To reduce the memory usage and computational burden, variance components are also estimated on epoch-by-epoch basis. The results showed that there exists slight differences between the solutions. However, epoch-by-epoch analysis may also be used for most of GPS applications considering the magnitudes of the differences.

Health Related Quality of Life among Organ Transplant Recipients (장기이식환자의 건강관련 삶의 질)

  • 김금순;강지연;정인숙
    • Journal of Korean Academy of Nursing
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    • v.33 no.3
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    • pp.365-375
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    • 2003
  • Purpose: This study was aimed to investigate the health related quality of life and related factors of organ transplant recipients. Method: The participants were 188 people who had liver(86), kidney(81), or heart(24) transplanted. Data on the demographic characteristics, transplantation-related characteristics, symptom frequency or discomfort measured by Transplant Symptom Frequency and Symptom Distress Scale by Lough et al(l987), and health related quality of life measured by SF-36(version 2) were collected. Result: Overall health related quality of life score was 492.1 for 100scoring and, 344.9 for norm based. Physical functioning showed the highest quality of life score (77.5) and vitality showed the lowest(51.l). The kidney transplanted showed the highest quality of life (504.4) and the heart transplanted showed the lowest(426.7) Quality of life was related with occupation(p=.016) and symtom discomfort(p < .0001). Conclusion: The health related quality of life of transplated patients was lower than the norm of American. Further studies need to be done to identify the norm of Korean and to investigate the effect of releving symptom discomfort on the increasing the health related quality of life.

How to Smooth Data in Two Way Tables with the Order Restriction

  • Chung, Seiyoung
    • Journal of the Chungcheong Mathematical Society
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    • v.2 no.1
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    • pp.65-73
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    • 1989
  • To smooth a given data in two-way tables with the order restriction, we propose the dual problem and construct an algorithm utilizing the network flows which ends up with the minimum L1-norm after a finite number of iterations.

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A Study on Effects of Cyperus rotundus L. Essential Oil Inhalation on Stress Relaxation with HRV, EEG (향부자 정유 흡입이 스트레스 이완에 미치는 영향)

  • Uhm, Ji-Tae;Bae, Seon Young;Park, Kil-Soon;Kim, Kyoung-Shin
    • Journal of Haehwa Medicine
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    • v.22 no.2
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    • pp.81-92
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    • 2014
  • Objective : The purpose of this study was to assess the effects of Cyperus rotundus L. essential oil on relaxation in highly stressed volunteers with heart rate variability(HRV) and electroencephalography(EEG). Methods : 11 highly stressed volunteers participated in this study. The volunteers were examined with HRV and EEG before and after inhalation of Cyperus rotundus L. essential oil. Results : After smelling Cyperus rotundus L. essential oil, mean RR(mean of RR intervals) was incresed significantly(p<0.01), mean HRV(mean of heart rate), HF(high frequency) were decreased significantly(p<0.01). norm LF(low frequency), LF/HF ratio were decreased significantly(p<0.05), norm HF(normalized high frequency) was increased significantly(p<0.05) on HRV. After smelling Cyperus rotundus L. essential oil, relative ${\theta}$ power was decreased significantly(p<0.05) at P3(left parietal) and relative ${\alpha}$ power was increased significantly(p<0.05) at Fp1(left prefrontal), Fp2(right prefrontal) and relative ${\beta}$ power was decreased significantly(p<0.05) at Fp1(left prefrontal) and relative ${\gamma}$ power was decreased significantly(p<0.05) at Fp1(left prefrontal) on EEG. Conclusions : This results show that inhalation of Cyperus rotundus L. essential oil effects on relaxation and decreasing stress.

The essential point spectrum of a regular operator

  • Lee, Woo-Young;Lee, Hong-Youl;Han, Young-Min
    • Bulletin of the Korean Mathematical Society
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    • v.29 no.2
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    • pp.295-300
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    • 1992
  • In [5] it was shown that if T .mem. L(X) is regular on a Banach space X, with finite dimensional intersection T$^{-1}$ (0).cap.T(X) and if S .mem. L(X) is invertible, commute with T and has sufficiently small norm then T - S in upper semi-Fredholm, and hence essentially one-one, in the sense that the null space of T - S is finite dimensional ([4] Theorem 2; [5] Theorem 2). In this note we extend this result to incomplete normed space.

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A goodness-of-fit test for exponentiality with censored samples (중도절단 표본의 지수분포성 적합도 검정을 위한 새로운 통계량)

  • 김부용
    • The Korean Journal of Applied Statistics
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    • v.6 no.2
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    • pp.289-302
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    • 1993
  • A goodness-of-fit test for the two-parameter exponential distribution, for use with the singly Type I and Type II right censored samples, is proposed. The test statistic is based on the $L_1$-norm of discrepancy between the cumulative distribution function and the empirical distribution function. To deal with the unknown parameters problem, the K- transformation is considered and modified to be applied to the censored samples. Rosenblatt's transformation is extended to the cases of Type I and Type II censored samples, in order to transform the censored samples into the complete ones. The critial values of the test statistic are obtained by Monte Carlo simulations for some finite sample sizes. The power studies are conducted to compare the proposed test with the Pettitt(1977) test for exponentiality with censored samples. It appears that the proposed test has relatively good power properties for moderate and large sample sizes.

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Low-complexity Joint Transmit/Receive Antenna Selection Algorithm for Multi-Antenna Systems (다중 안테나 시스템을 위한 낮은 복잡도의 송/수신안테나 선택 알고리즘)

  • Son, Jun-Ho;Kang, Chung-G.
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.10A
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    • pp.943-951
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    • 2006
  • Multi-input-multi-output (MIMO) systems are considered to improve the capacity and reliability of next generation mobile communication. However, the multiple RF chains associated with multiple antennas are costly in terms of size, power and hardware. Antenna selection is a low-cost low-complexity alternative to capture many of the advantages of MIMO systems. We proposed new joint Tx/Rx antenna selection algorithm with low complexity. The proposed algorithm is a method selects $L_R{\times}L_T$ channel matrix out of $L_R{\times}L_T$ entire channel gain matrix where $L_R{\times}L_T$ matrix selects alternate Tx antenna with Rx antenna which have the largest channel gain to maximize Frobenius norm. The feature of this algorithm is very low complexity compare with Exhaustive search which have optimum capacity. In case of $4{\times}4$ antennas selection out of $8{\times}8$ antennas, the capacity decreases $0.5{\sim}2dB$ but the complexity also decreases about 1/10,000 than optimum exhaustive search.

BLOW-UP RATE FOR THE SEMI-LINEAR WAVE EQUATION IN BOUNDED DOMAIN

  • Liang, Chuangchuang;Wang, Pengchao
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.173-182
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    • 2015
  • In this paper, the blow-up rate of $L^2$-norm for the semi-linear wave equation with a power nonlinearity is obtained in the bounded domain for any p > 1. We also get the blow-up rate of the derivative under the condition 1 < p < $1+\frac{4}{N-1}$ for $N{\geq}2$ or 1 < p < 5 for N = 1.