• 제목/요약/키워드: basis functions

검색결과 1,314건 처리시간 0.025초

Separation of Single Channel Mixture Using Time-domain Basis Functions

  • 장길진;오영환
    • 한국음향학회지
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    • 제21권4호
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    • pp.146-146
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    • 2002
  • We present a new technique for achieving source separation when given only a single channel recording. The main idea is based on exploiting the inherent time structure of sound sources by learning a priori sets of time-domain basis functions that encode the sources in a statistically efficient manner. We derive a learning algorithm using a maximum likelihood approach given the observed single channel data and sets of basis functions. For each time point we infer the source parameters and their contribution factors. This inference is possible due to the prior knowledge of the basis functions and the associated coefficient densities. A flexible model for density estimation allows accurate modeling of the observation, and our experimental results exhibit a high level of separation performance for simulated mixtures as well as real environment recordings employing mixtures of two different sources. We show separation results of two music signals as well as the separation of two voice signals.

THE DECISION OF OPTIMUM BASIS FUNCTION IN IMAGE CLASSIFICATION BASED ON WAVELET TRANSFORM

  • Yoo, Hee-Young;Lee, Ki-Won;Jin, Hong-Sung;Kwon, Byung-Doo
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2008년도 International Symposium on Remote Sensing
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    • pp.169-172
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    • 2008
  • Land-use or land-cover classification of satellite images is one of the important tasks in remote sensing application and many researchers have been tried to enhance classification accuracy. Previous studies show that the classification technique based on wavelet transform is more effective than that of traditional techniques based on original pixel values, especially in complicated imagery. Various wavelets can be used in wavelet transform. Wavelets are used as basis functions in representing other functions, like sinusoidal function in Fourier analysis. In these days, some basis functions such as Haar, Daubechies, Coiflets and Symlets are mainly used in 2D image processing. Selecting adequate wavelet is very important because different results could be obtained according to the type of basis function in classification. However, it is not easy to choose the basis function which is effective to improve classification accuracy. In this study, we computed the wavelet coefficients of satellite image using 10 different basis functions, and then classified test image. After evaluating classification results, we tried to ascertain which basis function is the most effective for image classification. We also tried to see if the optimum basis function is decided by energy parameter before classifying the image using all basis function. The energy parameter of signal is the sum of the squares of wavelet coefficients. The energy parameter is calculated by sub-bands after the wavelet decomposition and the energy parameter of each sub-band can be a favorable feature of texture. The decision of optimum basis function using energy parameter in the wavelet based image classification is expected to be helpful for saving time and improving classification accuracy effectively.

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표현기능 지도내용 분석을 통한 현행 중학교 영어교과서 평가 (Middle school English textbook evaluation on the basis of the expressive language function analysis)

  • 장복명
    • 영어어문교육
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    • 제5호
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    • pp.123-147
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    • 1999
  • English textbooks play essential roles in the whole English education context, the analytic study on English textbooks is very important in English education tasks. The purpose of this study is to analyze the expressive functions in the middle school English textbooks on the basis of the 6th national curriculum characteristics and the textbook analysis theories. The results of the expressive language function analysis are as follow: the teaching contents designed for the expressive language functions are not varied, but concentrated on the specific teaching types, and the teaching contents for the expressive language functions are not graded according to the students' development principles stated clearly in the 6th curriculum. The results of the English textbook analysis on the basis of the expressive language function analysis show that the 6th curriculum has some problems in itself and the middle school textbooks do not conform to the 6th curriculum principles. Therefore we need to improve the teaching contents for language functions by means of developing various types of teaching language functions.

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Statistical Extraction of Speech Features Using Independent Component Analysis and Its Application to Speaker Identification

  • Jang, Gil-Jin;Oh, Yung-Hwan
    • The Journal of the Acoustical Society of Korea
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    • 제21권4E호
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    • pp.156-163
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    • 2002
  • We apply independent component analysis (ICA) for extracting an optimal basis to the problem of finding efficient features for representing speech signals of a given speaker The speech segments are assumed to be generated by a linear combination of the basis functions, thus the distribution of speech segments of a speaker is modeled by adapting the basis functions so that each source component is statistically independent. The learned basis functions are oriented and localized in both space and frequency, bearing a resemblance to Gabor wavelets. These features are speaker dependent characteristics and to assess their efficiency we performed speaker identification experiments and compared our results with the conventional Fourier-basis. Our results show that the proposed method is more efficient than the conventional Fourier-based features in that they can obtain a higher speaker identification rate.

Statistical Extraction of Speech Features Using Independent Component Analysis and Its Application to Speaker Identification

  • 장길진;오영환
    • 한국음향학회지
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    • 제21권4호
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    • pp.156-156
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    • 2002
  • We apply independent component analysis (ICA) for extracting an optimal basis to the problem of finding efficient features for representing speech signals of a given speaker The speech segments are assumed to be generated by a linear combination of the basis functions, thus the distribution of speech segments of a speaker is modeled by adapting the basis functions so that each source component is statistically independent. The learned basis functions are oriented and localized in both space and frequency, bearing a resemblance to Gabor wavelets. These features are speaker dependent characteristics and to assess their efficiency we performed speaker identification experiments and compared our results with the conventional Fourier-basis. Our results show that the proposed method is more efficient than the conventional Fourier-based features in that they can obtain a higher speaker identification rate.

표면반사율 모델링을 위한 새로운 N차원 기저함수 (New N-dimensional Basis Functions for Modeling Surface Reflectance)

  • 권오설
    • 방송공학회논문지
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    • 제17권1호
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    • pp.195-198
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    • 2012
  • 일반적으로 표면반사율과 분광반사율을 N차원의 칼라 코드로부터 정확히 복원하기 위해서는 N개의 기저함수가 필요하다. 전형적인 렌더링 응용에서 벡터의 덧셈, 스칼라 곱셈 및 성분별 곱셈에 대한 벡터 연산이 이질동형이라고 가정하고 광원의 중첩, 광원-표면간 상호간섭 및 상호반사와 같은 물리적인 연산을 모델링하지만 벡터 연산이 물리적인 현상을 그대로 반영하는 것은 아니다. 그러나 만약 기저함수가 특성함수로써 제한된다면 표면반사율과 분광반사율의 사상 결과 및 벡터들은 렌더링에서 물리적인 연산인 이질이형을 유지하게 된다. 본 논문은 새로운 N차원의 특성함수를 제안하고 N차원의 기저함수로 근사화된 먼셀 칼라 칩에 대하여 제안한 알고리즘의 정확성을 평가할 것이다.

A Comparative Study of 3D DWT Based Space-borne Image Classification for Differnet Types of Basis Function

  • Yoo, Hee-Young;Lee, Ki-Won;Kwon, Byung-Doo
    • 대한원격탐사학회지
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    • 제24권1호
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    • pp.57-64
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    • 2008
  • In the previous study, the Haar wavelet was used as the sole basis function for the 3D discrete wavelet transform because the number of bands is too small to decompose a remotely sensed image in band direction with other basis functions. However, it is possible to use other basis functions for wavelet decomposition in horizontal and vertical directions because wavelet decomposition is independently performed in each direction. This study aims to classify a high spatial resolution image with the six types of basis function including the Haar function and to compare those results. The other wavelets are more helpful to classify high resolution imagery than the Haar wavelet. In overall accuracy, the Coif4 wavelet has the best result. The improvement of classification accuracy is different depending on the type of class and the type of wavelet. Using the basis functions with long length could be effective for improving accuracy in classification, especially for the classes of small area. This study is expected to be used as fundamental information for selecting optimal basis function according to the data properties in the 3D DWT based image classification.

페널티 적용 최대 우도 평가를 통한 기저 스크리닝 기반 크리깅 모델 개선 (Improvement of Basis-Screening-Based Dynamic Kriging Model Using Penalized Maximum Likelihood Estimation)

  • 김민근;김재승;한정우;이근호
    • 한국전산구조공학회논문집
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    • 제36권6호
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    • pp.391-398
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    • 2023
  • 본 논문에서는 기저 스크리닝 기반 크리깅 모델(BSKM: Basis Screening based Kriging Model) 생성의 정확도를 높이기 위해 페널티를 적용한 최대 우도 평가 방법(PMLE : Penalized Maximum Likelihood Estimation)에 대해서 소개한다. BSKM에서 사용하는 기저함수의 최대 차수와 종류는 그 중요도에 따라서 결정하게 되며, 이때 중요도의 지표는 기저함수에 대한 교차 검증 오차(CVE : Cross Validation Error)로 택한다. 크리깅 모델(KM : Kriging Model) 구성시 최적의 기저함수 조합은 우선 최대 기저함수 차수를 선택하고 개별 기저함수의 중요도를 평가를 하게 된다. 최적 기저함수 조합은 크리깅 모델의 CVE가 최소가 될 때까지 개별 기저함수의 중요도가 높은 순으로 기저함수를 하나씩 추가하며 찾는다. 이 과정에서 KM은 반복적으로 생성해야 하며, 동시에 데이터 사이의 상관관계를 나타내는 하이퍼 매개변수(Hyper-parameters)도 최대 우도 평가방법을 통해 계산하여야 한다. 하이퍼 매개변수의 값에 따라 선택되는 최적의 기저함수 조합이 달라지기 때문에 KM의 정확도에 막대한 영향을 미치게 된다. 정확한 하이퍼 매개변수를 계산하기 위해서 PMLE 방법을 적용하였으며, Branin-Hoo 함수 문제에 적용하여 BSKM 의 정확성이 개선될 수 있음을 확인하였다.

A boundary radial point interpolation method (BRPIM) for 2-D structural analyses

  • Gu, Y.T.;Liu, G.R.
    • Structural Engineering and Mechanics
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    • 제15권5호
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    • pp.535-550
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    • 2003
  • In this paper, a boundary-type meshfree method, the boundary radial point interpolation method (BRPIM), is presented for solving boundary value problems of two-dimensional solid mechanics. In the BRPIM, the boundary of a problem domain is represented by a set of properly scattered nodes. A technique is proposed to construct shape functions using radial functions as basis functions. The shape functions so formulated are proven to possess both delta function property and partitions of unity property. Boundary conditions can be easily implemented as in the conventional Boundary Element Method (BEM). The Boundary Integral Equation (BIE) for 2-D elastostatics is discretized using the radial basis point interpolation. Some important parameters on the performance of the BRPIM are investigated thoroughly. Validity and efficiency of the present BRPIM are demonstrated through a number of numerical examples.

Bayesian curve-fitting with radial basis functions under functional measurement error model

  • Hwang, Jinseub;Kim, Dal Ho
    • Journal of the Korean Data and Information Science Society
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    • 제26권3호
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    • pp.749-754
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    • 2015
  • This article presents Bayesian approach to regression splines with knots on a grid of equally spaced sample quantiles of the independent variables under functional measurement error model.We consider small area model by using penalized splines of non-linear pattern. Specifically, in a basis functions of the regression spline, we use radial basis functions. To fit the model and estimate parameters we suggest a hierarchical Bayesian framework using Markov Chain Monte Carlo methodology. Furthermore, we illustrate the method in an application data. We check the convergence by a potential scale reduction factor and we use the posterior predictive p-value and the mean logarithmic conditional predictive ordinate to compar models.