• 제목/요약/키워드: Linear shrinkage

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Moderately clipped LASSO for the high-dimensional generalized linear model

  • Lee, Sangin;Ku, Boncho;Kown, Sunghoon
    • Communications for Statistical Applications and Methods
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    • 제27권4호
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    • pp.445-458
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    • 2020
  • The least absolute shrinkage and selection operator (LASSO) is a popular method for a high-dimensional regression model. LASSO has high prediction accuracy; however, it also selects many irrelevant variables. In this paper, we consider the moderately clipped LASSO (MCL) for the high-dimensional generalized linear model which is a hybrid method of the LASSO and minimax concave penalty (MCP). The MCL preserves advantages of the LASSO and MCP since it shows high prediction accuracy and successfully selects relevant variables. We prove that the MCL achieves the oracle property under some regularity conditions, even when the number of parameters is larger than the sample size. An efficient algorithm is also provided. Various numerical studies confirm that the MCL can be a better alternative to other competitors.

High-dimensional linear discriminant analysis with moderately clipped LASSO

  • Chang, Jaeho;Moon, Haeseong;Kwon, Sunghoon
    • Communications for Statistical Applications and Methods
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    • 제28권1호
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    • pp.21-37
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    • 2021
  • There is a direct connection between linear discriminant analysis (LDA) and linear regression since the direction vector of the LDA can be obtained by the least square estimation. The connection motivates the penalized LDA when the model is high-dimensional where the number of predictive variables is larger than the sample size. In this paper, we study the penalized LDA for a class of penalties, called the moderately clipped LASSO (MCL), which interpolates between the least absolute shrinkage and selection operator (LASSO) and minimax concave penalty. We prove that the MCL penalized LDA correctly identifies the sparsity of the Bayes direction vector with probability tending to one, which is supported by better finite sample performance than LASSO based on concrete numerical studies.

Long-term structural analysis and stability assessment of three-pinned CFST arches accounting for geometric nonlinearity

  • Luo, Kai;Pi, Yong-Lin;Gao, Wei;Bradford, Mark A.
    • Steel and Composite Structures
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    • 제20권2호
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    • pp.379-397
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    • 2016
  • Due to creep and shrinkage of the concrete core, concrete-filled steel tubular (CFST) arches continue to deform in the long-term under sustained loads. This paper presents analytical investigations of the effects of geometric nonlinearity on the long-term in-plane structural performance and stability of three-pinned CFST circular arches under a sustained uniform radial load. Non-linear long-term analysis is conducted and compared with its linear counterpart. It is found that the linear analysis predicts long-term increases of deformations of the CFST arches, but does not predict any long-term changes of the internal actions. However, non-linear analysis predicts not only more significant long-term increases of deformations, but also significant long-term increases of internal actions under the same sustained load. As a result, a three-pinned CFST arch satisfying the serviceability limit state predicted by the linear analysis may violate the serviceability requirement when its geometric nonlinearity is considered. It is also shown that the geometric nonlinearity greatly reduces the long-term in-plane stability of three-pinned CFST arches under the sustained load. A three-pinned CFST arch satisfying the stability limit state predicted by linear analysis in the long-term may lose its stability because of its geometric nonlinearity. Hence, non-linear analysis is needed for correctly predicting the long-term structural behaviour and stability of three-pinned CFST arches under the sustained load. The non-linear long-term behaviour and stability of three-pinned CFST arches are compared with those of two-pinned counterparts. The linear and non-linear analyses for the long-term behaviour and stability are validated by the finite element method.

스트레인 게이지법을 이용한 복합레진과 컴포머의 중합수축 평가에 관한 연구 (A STUDY ON THE EVALUATION OF POLYMERIZATION SHRINKAGE OF COMPOSITE AND COMPOMER USING STRAIN GAUGE METHOD)

  • 김윤철;김종수;권순원;김용기
    • 대한소아치과학회지
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    • 제29권1호
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    • pp.19-29
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    • 2002
  • 본 연구의 목적은 다양한 중합과정에 따른 복합레진과 컴포머의 수축 양상을 스트레인 게이지법(strain gauge method)을 이용하여 평가해보고자 하는 것이었다. 광중합기는 기존의 할로겐 시스템인 XL 3000(3M, USA)과 최근 소개된 plasma arc curing 시스템인 Flipo(LOKKI, France)를 사용하였고, 충전 재료는 복합레진인 Z-100(3M, USA)과 컴포머인 Dyract AP(Dentsply, Germany)를 사용하였다. 주형과 치아 와동 내에 충전된 실험재료의 중합수축을 각각 측정하였으며, 만능시험기를 이용하여 압축강도를 측정하였다. 중합수축 측정 결과 모두 중합초기에는 일시적인 재료의 팽창을 나타냈고, 그 후 약 1분간은 수축량이 급격히 증가하다가 증가의 폭이 점차 감소하는 양상을 보였다. 전반적으로 컴포머를 사용한 군에 비해 복합레진을 사용한 군에서 중합수축이 크게 나타났으며 plasma arc curing 시스템을 사용한 군에 비해 기존의 광조사 시스템 군에서 더 큰 중합수축을 보였다. 압축 강도의 측정결과는 컴포머 군에 비해 복합레진 군에서 크게 나타났다. 이상의 결과를 종합해 볼 때, plasma arc curing unit와 컴포머의 사용은 시술시간의 단축과 항우식 효과를 감안한다면 소아치과 영역에서의 사용이 긍정적으로 고려될 수 있다고 생각된다.

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$B_4C$의 소결에 관한 연구 (A Study for the Sintering of Boron Carbide)

  • 오정훈;오근호;이종근;김도경;이준근;김종희
    • 한국세라믹학회지
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    • 제22권1호
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    • pp.60-66
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    • 1985
  • Hard shaped bodies are made by sintering a cold-pressed compact of a boron carbide compound which contains a densification aid. Titanium diboride and carbon were used as a densification aid in a range of 1% to 10% by weight. The effects of sintering temperature and additives on linear shrinkage porosity hardness bend strength and microstructure were examined. The initial partical size dependence on the sintered density was also discussed.

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TMOS 용액을 이용한 실리카 유리의 제조 (Preparation of Silica Glass using TMOS Solution)

  • 서정민;신대용;한상목
    • 한국세라믹학회지
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    • 제28권4호
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    • pp.324-328
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    • 1991
  • Monolithic silica gel and glass were prepared from TMOS solution with high concentration of HCl. Appearance of the dried gels and gelation time varied with content of HCl and H2O were observed in the TMOS-CH3OH-HCl-H2O system. The conversion from gel to glass during heat treatment stage was investigated using TG-DTA, XRD, IR and SEM and characteristics of the gel were examined by measuring bulk density, linear shrinkage and Vicker's hardness. A transparent silica glass was prepared from the gel after heat treatment at 1050℃.

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Al2O3 첨가에 따른 potashborosilicate glass ceramic 기판의 특성변화에 관한연구 (Properties of Potashborosilicate Glass-ceramic Substrate by adding Al2O3)

  • 김용철
    • 마이크로전자및패키징학회지
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    • 제5권2호
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    • pp.53-58
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    • 1998
  • Sintering and dielectric characteristics of substrates were estimated by mixing rate of alumina and potashborosilicate glass(PBSG) powders. PBSG powders were used 7761(corning code)and alumina powders were used in extra pure rate(99.9%) and had 0.1 ${\mu}$m mean size. After ball milling with organic additives green sheets which were casted by doctor blade machine were sintered at 800$^{\circ}C$ for 1∼3hrs. Microstructure, linear shrinkage and dielectric constant of substrates were surveyed in order to fabricate low-dielectric and low tem-perature sintering substrate.

Solvent-induced Expansion & Shrinkage of Demineralized Dentin Matrix

  • Lee, Kwang-Won
    • 대한치과보존학회:학술대회논문집
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    • 대한치과보존학회 2001년도 추계학술대회(제116회) 및 13회 Workshop 제3회 한ㆍ일 치과보존학회 공동학술대회 초록집
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    • pp.580-580
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    • 2001
  • Before resin composites can serve as durable substitutes for amalgam restorations, the adhesive system used to retain them and add to seal dentin must be improved. The recent observations, using the newly developed LVDT (linear variable differential transformer) probe, that all commercial bonding systems cause a collapse of the demineralized dentin matrix, simulated a re-evaluation of the effects of these formulations on the matrix. The experiment was begun by examining solvents such as water-HEMA mixtures. These produced the same shrinkages as did the complete formulations.(omitted)

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Weighted Least Absolute Deviation Lasso Estimator

  • Jung, Kang-Mo
    • Communications for Statistical Applications and Methods
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    • 제18권6호
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    • pp.733-739
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    • 2011
  • The linear absolute shrinkage and selection operator(Lasso) method improves the low prediction accuracy and poor interpretation of the ordinary least squares(OLS) estimate through the use of $L_1$ regularization on the regression coefficients. However, the Lasso is not robust to outliers, because the Lasso method minimizes the sum of squared residual errors. Even though the least absolute deviation(LAD) estimator is an alternative to the OLS estimate, it is sensitive to leverage points. We propose a robust Lasso estimator that is not sensitive to outliers, heavy-tailed errors or leverage points.

Tape Casting에 의한 fluormica계 제조 및 특성 저온 소결 기판의 제조 및 특성 (Fabrication and Characteristics of Low Temperature Firing Substrate by Tape Casting in Fluormica System)

  • 박대현;최정헌;강원호;김병익
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 1999년도 춘계학술대회 논문집
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    • pp.673-676
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    • 1999
  • We fabricated green sheet by tape casting method with fluormica glass-ceramic powders for fabrication of low temperature co-firing substrate. After ball milling with organic additives, we investigated green strength and density of green sheets which were casted by doctor blade machine. Green sheets were sintered at 700 ~ 1,00$0^{\circ}C$ for 1 ~3hrs. Microstructure, linear shrinkage and dielectric constant of substrates were surveyed.

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