• 제목/요약/키워드: least p-norm

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Robust Multiuser Detection Based on Least p-Norm State Space Filtering Model

  • Zha, Daifeng
    • Journal of Communications and Networks
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    • 제9권2호
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    • pp.185-191
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    • 2007
  • Alpha stable distribution is better for modeling impulsive noises than Gaussian distribution in signal processing. This class of process has no closed form of probability density function and finite second order moments. In general, Wiener filter theory is not meaningful in S$\alpha$SG environments because the expectations may be unbounded. We proposed a new adaptive recursive least p-norm Kalman filtering algorithm based on least p-norm of innovation process with infinite variances, and a new robust multiuser detection method based on least p-norm Kalman filtering. The simulation experiments show that the proposed new algorithm is more robust than the conventional Kalman filtering multiuser detection algorithm.

${\ell}^1/{\ell}^2$ norm IRLS 방법을 사용한 강인한 탄성파자료역산 (Robust inversion of seismic data using ${\ell}^1/{\ell}^2$ norm IRLS method)

  • 지준
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2005년도 공동학술대회 논문집
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    • pp.227-232
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    • 2005
  • 탄성파 역산에 있어서 최소자승(${\ell}^2-norm$)해는 큰 오차에 매우 민감하게 반응하는 경향이 있다. 이에 반해서 ${\ell}^p-norm$ ($1{\le}p<2$)을 최소화하는 해는 잡음에 강인한 해를 보이나 보통은 좀 더 많은 계산이 요구된다. 반복적가중의 최소자승법(Iteratively reweighted least squares [IRLS] method)은 이러한 ${\ell}^p-norm$ 문제의 근사해를 효율적으로 구할 수 있도록 해준다. 본 논문에서는 작은 크기의 잔여분은 ${\ell}^2-norm$으로 큰 크기의 잔여분은 ${\ell}^2-norm$으로 적용되는 하이브리드 ${\ell}^1/{\ell}^2$최소화를 IRLS 방법에 쉽게 적용하는 기법을 소개한다. 모의 자료와 실제 현장자료에의 적용결과 큰 잡음이 포함된 경우 최소자승해보다 하이브리드 방법의 경우에 개선된 결과를 보임을 확인할 수 있었다.

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THE CONSISTENCY OF NONLINEAR REGRESSION MINIMIZING $L_p$-NORM

  • Choi, Seung-Hoe;Park, Kyung-Ok
    • East Asian mathematical journal
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    • 제14권2호
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    • pp.421-427
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    • 1998
  • In this paper we provide sufficient conditions which ensure the strong consistency of $L_p$-norm estimation in nonlinear regression model when the probability distribution of the errors term is symmetric about zero. The least absolute deviation and least square estimation are discussed as special cases of the proposed estimation.

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ROBUST $L_{p}$-NORM ESTIMATORS OF MULTIVARIATE LOCATION IN MODELS WITH A BOUNDED VARIANCE

  • Georgly L. Shevlyakov;Lee, Jae-Won
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제9권1호
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    • pp.81-90
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    • 2002
  • The least informative (favorable) distributions, minimizing Fisher information for a multivariate location parameter, are derived in the parametric class of the exponential-power spherically symmetric distributions under the following characterizing restrictions; (i) a bounded variance, (ii) a bounded value of a density at the center of symmetry, and (iii) the intersection of these restrictions. In the first two cases, (i) and (ii) respectively, the least informative distributions are the Gaussian and Laplace, respectively. In the latter case (iii) the optimal solution has three branches, with relatively small variances it is the Gaussian, them with intermediate variances. The corresponding robust minimax M-estimators of location are given by the $L_2$-norm, the $L_1$-norm and the $L_{p}$ -norm methods. The properties of the proposed estimators and their adaptive versions ar studied in asymptotics and on finite samples by Monte Carlo.

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수중음향채널에서 Sparse 채널 추정 기법에 관한 연구 (A Study on the Sparse Channel Estimation Technique in Underwater Acoustic Channel)

  • 권병철;이외형;김기만
    • 한국정보통신학회논문지
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    • 제18권5호
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    • pp.1061-1066
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    • 2014
  • 천해에서 음파 전달은 매우 복잡하며, sparse한 전달 특성을 갖는다. 이러한 환경에서 수중음향통신 시스템의 성능을 향상시키기 위하여 채널을 추정하기 위한 여러 방법들이 연구되었다. 본 논문에서는 기존의 sparse-aware LMS(Least Mean Square) 알고리즘들보다 빠른 수렴속도를 갖는 LMS 기반 채널 추정 알고리즘을 제안하였다. 제안한 방법은 $L_p$-norm LMS 알고리즘과 soft decision 과정을 결합한 것이다. 모의실험은 실제 해상 실험을 통하여 얻은 수중 음속 데이터를 바탕으로 수행되었다. 그 결과 제안한 방법이 기존의 방법들보다 빠른 수렴속도와 향상된 성능을 보이는 것을 확인하였다.

일부 치위생과 학생의 학습성격유형과 학업성취도의 관계 (The relationship between learning personality types and the academic achievement levels of dental hygiene students)

  • 이성숙;조명숙
    • 대한치위생과학회지
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    • 제1권2호
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    • pp.53-60
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    • 2018
  • The purpose of this study was to examine the relationship between academic personality types and academic achievement in an effort to seek teaching and learning strategies geared toward improving the academic achievement of students. The subjects in this study were 400 dental hygiene students who were randomly selected from three-year colleges in Gyeonggi Province. Their academic personality types and academic achievement were investigated, and the findings of the study were as follows: 1. As for the academic personality types of the subjects, the inquiry-oriented type was most dominant, and the ideal-oriented one was least common. 2. In regard to differences in academic personality types according to academic year, the inquiry-oriented type was most common in every academic year, and there were statistically significant differences(p<.05). 3. As to differences in academic personality types according to academic achievement, the best academic achievement was found in the norm-oriented type, and there were statistically significant differences(p<.05). 4. Concerning differences among the subjects in academic satisfaction according to academic personality types, there were no statistically significant differences(p>.05). When the above-mentioned findings of the study were pieced together, the academic achievement of the subjects varied with their academic personality types, and it's consequently necessary to make an effort to apply different teaching methods and learning methods according to their preferences. As there are individual variances among students in achievement goal, preferred learning method and experience though they study in the same space with different learning methods, the development of student guidance programs tailored to academic personality types seems necessary.

PPIA, HPRT1, and YWHAZ are suitable reference genes for quantitative polymerase chain reaction assay of the hypothalamic-pituitary-gonadal axis in sows

  • Kim, Hwan-Deuk;Jo, Chan-Hee;Choe, Yong-Ho;Lee, Hyeon-Jeong;Jang, Min;Bae, Seul-Gi;Yun, Sung-Ho;Lee, Sung-Lim;Rho, Gyu-Jin;Kim, Seung-Joon;Lee, Won-Jae
    • Animal Bioscience
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    • 제35권12호
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    • pp.1850-1859
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    • 2022
  • Objective: The quantitative reverse transcription polymerase chain reaction (qPCR) is the most accurate and reliable technique for analysis of gene expression. Endogenous reference genes (RGs) have been used to normalize qPCR data, although their expression may vary in different tissues and experimental conditions. Verification of the stability of RGs in selected samples is a prerequisite for reliable results. Therefore, we attempted to identify the most stable RGs in the hypothalamic-pituitary-gonadal (HPG) axis in sows. Methods: The cycle threshold values of nine commonly used RGs (18S, HPRT1, GAPDH, RPL4, PPIA, B2M, YWHAZ, ACTB, and SDHA) from HPG axis-related tissues in the domestic sows in the different stages of estrus cycle were analyzed using two RG-finding programs, geNorm and Normfinder, to rank the stability of the pool of RGs. In addition, the effect of the most and least stable RGs was examined by normalization of the target gene, gonadotropin-releasing hormone (GnRH), in the hypothalamus. Results: PPIA, HPRT1, and YWHAZ were the most stable RGs in the HPG axis-related tissues in sows regardless of the stages of estrus cycle. In contrast, traditional RGs, including 18S and ACTB, were found to be the least stable under these experimental conditions. In particular, in the normalization of GnRH expression in the hypothalamus against several stable RGs, PPIA, HPRT1, and YWHAZ, could generate significant (p<0.05) elevation of GnRH in the preovulatory phase compared to the luteal phase, but the traditional RGs with the least stability (18S and ACTB) did not show a significant difference between groups. Conclusion: These results indicate the importance of verifying RG stability prior to commencing research and may contribute to experimental design in the field of animal reproductive physiology as reference data.

새우젓 중의 단백질 분해효소에 대한 연구 (Proteolytic Digestion of Boiled Pork by Soused Shrimp)

  • 박길홍
    • Journal of Nutrition and Health
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    • 제19권6호
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    • pp.363-373
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    • 1986
  • This study was devised to elucidate whether soused shrimp exhibits a digestive action on boiled pork meats. and the mechanism by which sousing with a high concentration of sodium chloride preserves nutrients in foods for a prolonged pe\ulcornerriod. Protease was isolated from soused shrimp using a combination of ammonium sulfate fractionation. DEAE - cellulose ion exchange chromatography and gel filtra\ulcornertion. The isolated protease had specific activity of 1.560 units. 210 purification fo\ulcornerld with an yield of 38%. Its optimum pH and temperature were 8.0 and $43^{\circ}C$ respectively. The molecular weight of the enzyme was 35.000. The Km value of the enzyme for casein was 1.6 x $10^{-6}$ M The e=yme required the presence of cu\ulcornerpric ion to exhibit its full activity. Eighty eight percent of the enzyme activity was in\ulcornerhibited by 3.5M NaCI showing a reversibly linear decrease of the enzyme activity as NaCI concentration increased. The nature of the inhibition by NaCl was rever\ulcornersible and noncompetitive. The protease activity in soused shrimp was well preser\ulcornerved with the elapse of time at least in part due to NaCI induced suppression of autodigestion. The enzyme was denatured by acid easily. i.e. 1% of the original activity remained after staying at pH 2 for 10 minutes. which is within the norm\ulcorneral range of pH of the human stomach. Soused shrimp was observed to be one of those containing the highest protease activity compared with the other soused foo\ulcornerds such as soused oyster. squid. clam. and Pollack intestine with respect to spec\ulcornerific activities of dialized 1:4 whole homogenates(w/v) in 5 mM sodium phospha\ulcornerte - 2.4 mM j3 - mercaptoethanol buffer. pH 8.0. Casein and boiled meats including pork, beef, and chicken appeared to be the good substrates for the protease. Casein was the best. Therefore. the ingestion of boiled meats including pork together with soused sh\ulcornerrimp would help digestion of boiled pork in human not only by increasing appe\ulcornertite also by the direct proteolytic digestion of boiled meats by soused shrimp to\ulcorner some extent. And a high concentration of sodium chloride inhibited the protease activity reversibly in a remarkable degree, which ensued in a significant retardat\ulcornerion of autodigestion of protein in foods by proteases, and hereby contributed to the preservation of foods for an extended period.

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