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A Weighted Mean Squared Error Approach Based on the Tchebycheff Metric in Multiresponse Optimization (Tchebycheff Metric 기반 가중평균제곱오차 최소화법을 활용한 다중반응표면 최적화)

  • Jeong, In-Jun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.1
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    • pp.97-105
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    • 2015
  • Multiresponse optimization (MRO) seeks to find the setting of input variables, which optimizes the multiple responses simultaneously. The approach of weighted mean squared error (WMSE) minimization for MRO imposes a different weight on the squared bias and variance, which are the two components of the mean squared error (MSE). To date, a weighted sum-based method has been proposed for WMSE minimization. On the other hand, this method has a limitation in that it cannot find the most preferred solution located in a nonconvex region in objective function space. This paper proposes a Tchebycheff metric-based method to overcome the limitations of the weighted sum-based method.

The analysis of random effects model by projections (사영에 의한 확률효과모형의 분석)

  • Choi, Jaesung
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.1
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    • pp.31-39
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    • 2015
  • This paper deals with a method for estimating variance components on the basis of projections under the assumption of random effects model. It discusses how to use projections for getting sums of squares to estimate variance components. The use of projections makes the vector subspace generated by the model matrix to be decomposed into subspaces that are orthogonal each other. To partition the vector space by the model matrix stepwise procedure is used. It is shown that the suggested method is useful for obtaining Type I sum of squares requisite for the ANOVA method.

Fixed-Width Booth-folding Squarer Design (고정길이 Booth-Folding 제곱기 디자인)

  • Cho Kyung-Ju;Chung Jin-Gyun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.8C
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    • pp.832-837
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    • 2005
  • This paper presents a design method for fixed-width squarer that receives a W-bit input and produces a W-bit squared product. To efficiently compensate for the quantization error, modified Booth encoder signals (not multiplier coefficients) are used for the generation of error compensation bias. The truncated bits are divided into two groups (major/minor group) depending upon their effects on the quantization error. Then, different error compensation methods are applied to each group. By simulations, it is shown that the performance of the proposed method is close to that of the rounding method and much better than that of the truncation method and conventional method. It is also shown that the proposed method leads to up to $28\%\;and\;27\%$ reduction in area and power consumption compared with the ideal squarers, respectively.

Approximated Constrained Least Squares Filter for Real-Time Directionally Adaptive Image Restoration (제약적 최소 제곱 필터의 근사화를 이용한 실시간 방향 적응적 영상복원)

  • Cho, Changhun;Jeon, Jaehwan;Paik, Joonki
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.12
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    • pp.150-158
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    • 2013
  • In this paper we present approximated constrained least squares filter for real-time directionally adaptive image restoration. The proposed method makes a hardware implementation easier for real-time image restoration because of reducing the filter size. Furthermore, for directional adaptive image restoration, this paper estimates the local orientation by analyzing the covariance matrix and applies to approximated constrained least squares filter. Experimental results show that the proposed method is sharper and less artifacts than existing methods.

A Study on the Adjustment of Precise Leveling Nets by the Method of Dynamic Least Squares (동적최소(動的最小)제곱법(法)에 의한 정밀수준강(精密水準綱)의 조정(調整))

  • Lee, Kye Hak;Jang, Ji Won;Kang, Hee Bog;Sung, Soo Lyeon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.2
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    • pp.177-184
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    • 1988
  • The method of least squares has been applied to the static data, but it was not applications for the processing of observed values accompaning real-time variation. In this paper, having been considered all observations to be the function of time, leveling nets were analized dynamically by introducing the concept of time to conventional method of least squares. As a results, the method of dynamic least squares was well applicable to the adjustment of leveling nets.

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Variable Selection in PLS Regression with Penalty Function (벌점함수를 이용한 부분최소제곱 회귀모형에서의 변수선택)

  • Park, Chong-Sun;Moon, Guy-Jong
    • Communications for Statistical Applications and Methods
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    • v.15 no.4
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    • pp.633-642
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    • 2008
  • Variable selection algorithm for partial least square regression using penalty function is proposed. We use the fact that usual partial least square regression problem can be expressed as a maximization problem with appropriate constraints and we will add penalty function to this maximization problem. Then simulated annealing algorithm can be used in searching for optimal solutions of above maximization problem with penalty functions added. The HARD penalty function would be suggested as the best in several aspects. Illustrations with real and simulated examples are provided.

Analysis of Distance Measurement Accuracy in Aerial and Satellite Image Photogrammetry (항공사진측량과 위성영상측량에서 거리측정 정확도 연구)

  • Kim, Hyung-Moo;Tcha, Dek-Kie;Nam, Guon-Mo;Yang, Chul-Soo
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2010.04a
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    • pp.253-255
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    • 2010
  • Needs to study on distance measurement accuracy in aerial and satellite photogrammetry are rapidly increased. However, conventional studies show some confused definitions between measurement accuracy and measurement precision as well as standard deviation(STDEV) and root mean square error(RMSE or RMSD). So, Finite definitions of measurement accuracy and measurement precision as well as STDEV and RMSD are addressed in this paper. Experiment result show using correct definitions improve the distance measurement accuracy in aerial and satellite photogrammetry rapidly, but not the distance measurement accuracy in aerial and satellite photogrammetry.

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Improved Design of a High-Speed Square Generator (개선된 고속 제곱 발생기 설계)

  • Song, Sang-Hoon
    • The Transactions of the Korea Information Processing Society
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    • v.7 no.1
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    • pp.266-272
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    • 2000
  • The square-based multiplication using look-up table simplifies the process and speeds-up the operating speed. However, the look-up table size increases exponentially as bit size increases. Recently, Wey and Shieh introduced a noble design of square generator circuit using a folding approach for high-speed performance applications. The design uses the ones complement values of ROM addresses to fold the huge look-up ROM table repeatedly such that a much smaller table can be sufficient to store the squares. We present new folding techniques that do not require a ones complement part, one of three major parts in the Wey and Shiehs method. Also the proposed techniques reduce the bit size of partial sums such that the hardware implementation be simplified and the performance be enhanced.

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Estimable functions of mixed models (혼합모형의 추정가능함수)

  • Choi, Jaesung
    • The Korean Journal of Applied Statistics
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    • v.29 no.2
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    • pp.291-299
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    • 2016
  • This paper discusses how to establish estimable functions when there are fixed and random effects in design models. It proves that estimable functions of mixed models are not related to random effects. A fitting constants method is used to obtain sums of squares due to random effects and Hartley's synthesis is used to calculate coefficients of variance components. To test about the fixed effects the degrees of freedom associated with divisor are determined by means of the Satterthwaite approximation.

Spam Filter by Using X2 Statistics and Support Vector Machines (카이제곱 통계량과 지지벡터기계를 이용한 스팸메일 필터)

  • Lee, Song-Wook
    • The KIPS Transactions:PartB
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    • v.17B no.3
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    • pp.249-254
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    • 2010
  • We propose an automatic spam filter for e-mail data using Support Vector Machines(SVM). We use a lexical form of a word and its part of speech(POS) tags as features and select features by chi square statistics. We represent each feature by TF(text frequency), TF-IDF, and binary weight for experiments. After training SVM with the selected features, SVM classifies each e-mail as spam or not. In experiment, the selected features improve the performance of our system and we acquired overall 98.9% of accuracy with TREC05-p1 spam corpus.