• 제목/요약/키워드: vector data

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A Note on Fuzzy Support Vector Classification

  • Lee, Sung-Ho;Hong, Dug-Hun
    • Communications for Statistical Applications and Methods
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    • 제14권1호
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    • pp.133-140
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    • 2007
  • The support vector machine has been well developed as a powerful tool for solving classification problems. In many real world applications, each training point has a different effect on constructing classification rule. Lin and Wang (2002) proposed fuzzy support vector machines for this kind of classification problems, which assign fuzzy memberships to the input data and reformulate the support vector classification. In this paper another intuitive approach is proposed by using the fuzzy ${\alpha}-cut$ set. It will show us the trend of classification functions as ${\alpha}$ changes.

CONTINUUM-WISE EXPANSIVENESS FOR C1 GENERIC VECTOR FIELDS

  • Manseob Lee
    • 대한수학회지
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    • 제60권5호
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    • pp.987-998
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    • 2023
  • It is shown that every continuum-wise expansive C1 generic vector field X on a compact connected smooth manifold M satisfies Axiom A and has no cycles, and every continuum-wise expansive homoclinic class of a C1 generic vector field X on a compact connected smooth manifold M is hyperbolic. Moreover, every continuum-wise expansive C1 generic divergence-free vector field X on a compact connected smooth manifold M is Anosov.

Regression Quantile Estimations on Censored Survival Data

  • 심주용
    • Journal of the Korean Data and Information Science Society
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    • 제13권2호
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    • pp.31-38
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    • 2002
  • In the case of multiple survival times which might be censored at each covariate vector, we study the regression quantile estimations in this paper. The estimations are based on the empirical distribution functions of the censored times and the sample quantiles of the observed survival times at each covariate vector and the weighted least square method is applied for the estimation of the regression quantile. The estimators are shown to be asymptotically normally distributed under some regularity conditions.

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Confidence Interval Estimation Using SV in LS-SVM

  • Seok, Kyung-Ha
    • Journal of the Korean Data and Information Science Society
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    • 제14권3호
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    • pp.451-459
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    • 2003
  • The present paper suggests a method to estimate confidence interval using SV(Support Vector) in LS-SVM(Least-Squares Support Vector Machine). To get the proposed method we used the fact that the values of the hessian matrix obtained by full data set and SV are not different significantly. Since the suggested method implement only SV, a part of full data, we can save computing time and memory space. Through simulation study we justified the proposed method.

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가중 최소제곱 서포트벡터기계의 혼합모형을 이용한 수익률 기간구조 추정 (Estimating the Term Structure of Interest Rates Using Mixture of Weighted Least Squares Support Vector Machines)

  • 노성균;심주용;황창하
    • 응용통계연구
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    • 제21권1호
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    • pp.159-168
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    • 2008
  • 수익률 기간구조(term structure of interest rates, 이하 수익률곡선)는 자료의 성격이 경시적(longitudinal)이므로 만기까지 기간과 시간을 동시에 입력변수로 고려해야만 유용하고 효율적인 함수추정이 가능하다. 고러나 이러한 방법은 다루어야 하는 자료가 대용량이기 때문에 대용량 자료에 적합하고 실행속도가 빠른 추정기법을 개발하는 것이 필요하다. 한편 자료에 내재하는 자기상관성 구조 때문에 과대 적합된 추정 결과를 얻기 쉽다. 따라서 본 논문에서는 이러한 문제를 해결하기 위해서 가중 LS-SVM(least squares support vector machine, 최소제곱 서포트벡터기계)의 혼합모형을 제안한다. 미국 재무부 채권에 대한 사례연구를 통해서 추정 결과가 증권시장 붕괴 같은 이례적 사건의 현상을 잘 반영하고 있음을 확인할 수 있었다.

퍼지서포트벡터기계의 시계열자료 패턴분류를 위한 퍼지소속 함수에 관한 연구 (On the Fuzzy Membership Function of Fuzzy Support Vector Machines for Pattern Classification of Time Series Data)

  • 이수용
    • 한국지능시스템학회논문지
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    • 제17권6호
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    • pp.799-803
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    • 2007
  • 본 논문에서는 FSVM(Putty Support Vector Machine)의 퍼지소속함수를 새롭게 제안한다. SVM의 완화변수(slack-variable)에 퍼지소속함수를 결합하는 FSVM은 주어진 데이터베이스의 특성이 반영되어 안정적으로 분류성능을 향상시킬 수 있는 퍼지소속 함수를 필요로 한다. 시계열 자료의 패턴분류 성능을 비교하기 위하여 SVM, FSVM(1), 그리고 제안하는 FSVM(2) 등의 분류모델들을 비교 실험하였다. 사용한 데이터베이스는 한국금융시장의 시계열 경제지표 지수들이다.

Support Vector Regression을 이용한 소프트웨어 개발비 예측 (Estimating Software Development Cost using Support Vector Regression)

  • 박찬규
    • 경영과학
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    • 제23권2호
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    • pp.75-91
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    • 2006
  • The purpose of this paper is to propose a new software development cost estimation method using SVR(Support Vector Regression) SVR, one of machine learning techniques, has been attracting much attention for its theoretic clearness and food performance over other machine learning techniques. This paper may be the first study in which SVR is applied to the field of software cost estimation. To derive the new method, we analyze historical cost data including both well-known overseas and domestic software projects, and define cost drivers affecting software cost. Then, the SVR model is trained using the historical data and its estimation accuracy is compared with that of the linear regression model. Experimental results show that the SVR model produces more accurate prediction than the linear regression model.

영상데이타를 이용한 항공기 자세각 추정 (Attitude Estimation of an Aircraft using Image Data)

  • 박성수
    • 한국항공운항학회지
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    • 제19권4호
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    • pp.44-50
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    • 2011
  • This paper presents the algorithm for attitude determination of an aircraft using binary image. An image feature vector, which is invariant to translation, scale and rotation, is constructed to capture the functional relations between the feature vector and the corresponding aircraft attitude. An iterated least squares method is suggested for estimating the attitude of given aircraft using the constructed feature vector library. Simulation results show that the proposed algorithm yields good estimates of aircraft attitude in most viewing range, although a relatively large error occurs in some limited viewing direction.

A Study on Support Vectors of Least Squares Support Vector Machine

  • Seok, Kyungha;Cho, Daehyun
    • Communications for Statistical Applications and Methods
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    • 제10권3호
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    • pp.873-878
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    • 2003
  • LS-SVM(Least-Squares Support Vector Machine) has been used as a promising method for regression as well as classification. Suykens et al.(2000) used only the magnitude of residuals to obtain SVs(Support Vectors). Suykens' method behaves well for homogeneous model. But in a heteroscedastic model, the method shows a poor behavior. The present paper proposes a new method to get SVs. The proposed method uses the variance of noise as well as the magnitude of residuals to obtain support vectors. Through the simulation study we justified excellence of our proposed method.

Short-Term Load Forecasting Based on Sequential Relevance Vector Machine

  • Jang, Youngchan
    • Industrial Engineering and Management Systems
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    • 제14권3호
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    • pp.318-324
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    • 2015
  • This paper proposes a dynamic short-term load forecasting method that utilizes a new sequential learning algorithm based on Relevance Vector Machine (RVM). The method performs general optimization of weights and hyperparameters using the current relevance vectors and newly arriving data. By doing so, the proposed algorithm is trained with the most recent data. Consequently, it extends the RVM algorithm to real-time and nonstationary learning processes. The results of application of the proposed algorithm to prediction of electrical loads indicate that its accuracy is comparable to that of existing nonparametric learning algorithms. Further, the proposed model reduces computational complexity.