• Title/Summary/Keyword: linearly independent

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Emotion recognition from brain waves using artificial immune system

  • Park, Kyoung ho;Sasaki Minoru
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.52.5-52
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    • 2002
  • In this paper, we develop analysis models for classification of temporal data from human subjects. The study focuses on the analysis of electroencephalogram (EEG) signals obtained during various emotional states. We demonstrate a generally applicable method of removing EOG and EMG artifacts from EEGs based on independent component analysis (ICA). All EEG channel maps were interpolated from 10 EEG subbands. ICA methods are based on the assumptions that the signals recorded on the scalp are mixtures of signals from independent cerebral and artifactual sources, that potentials arising from different parts of the brain, scalp and body are summed linearly at the electrodes and that prop...

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Estimation of Pure Component Fractions in a Mixture Using Independent Component Analysis (독립성분분석을 이용한 혼합물내의 순수물질 구성비 추정)

  • Jeon Chi-Hyeok;Lee Hye-Seon;Park Hae-Sang;Hong Jae-Hwa
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.1066-1070
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    • 2006
  • Independent component analysis (ICA) is a statistical method for linearly transforming observed high-dimensional multivariate data into several statistically independent components. ICA has gained wide-spread attention in a variety of fields including spectrum application. We focus on the application of ICA for separating independent sources from a set of mixtures and estimating their fractions in a mixture. The proposed method of estimating fractions is based on the regression model subject to the non-negativity constraint on coefficients. Simulation experiments are performed to demonstrate the performance of the proposed approach.

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Acoustic Echo Cancellation Using Independent Component Analysis (독립성분분석을 이용한 음향 반향 제거)

  • 김대성;배현덕
    • The Journal of the Acoustical Society of Korea
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    • v.22 no.5
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    • pp.351-359
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    • 2003
  • In this paper, we proposed a method for acoustic echo cancellation based on independent component analysis. When the large acoustic noise is picked up by the microphone, the performance of echo cancellation decreased. We used two microphones that received echo signal which is linearly mixed with the noise, then separated the echo signals from the received signals with independent component analysis algorithm. The separated echo signal is used for the reference signal of adaptive algorithm which leads to better performance of the echo cancellation. Computer simulation results show the validity of the proposed method.

ZEROS OF SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH COEFFICIENTS OF SMALL LOWER GROWTH

  • Wang, Sheng
    • Bulletin of the Korean Mathematical Society
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    • v.40 no.2
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    • pp.235-241
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    • 2003
  • It is proved that the product of any two linearly independent meromorphic solutions of second order linear differential equations with coefficients of small lower growth must have infinite exponent of convergence of its zero-sequences, under some suitable conditions.

MODULE-LIKE PROPERTIES ON FREE AUTOMATA

  • Park, Chin-Hong
    • Journal of applied mathematics & informatics
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    • v.7 no.1
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    • pp.347-355
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    • 2000
  • In this paper we define linearly independent, basis, free, torsion-free and torsion-free completely on an automation. We prove a theorem describing a relationship between free and torsion-free completely on automata. Also we prove some important properties of them. Furthermore, we discuss some theorems associated with free.

Study of Nonlinear Feature Extraction for Faults Diagnosis of Rotating Machinery (회전기계의 결함진단을 위한 비선형 특징 추출 방법의 연구)

  • Widodo, Achmad;Yang, Bo-Suk
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.127-130
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    • 2005
  • There are many methods in feature extraction have been developed. Recently, principal components analysis (PCA) and independent components analysis (ICA) is introduced for doing feature extraction. PCA and ICA linearly transform the original input into new uncorrelated and independent features space respectively In this paper, the feasibility of using nonlinear feature extraction will be studied. This method will employ the PCA and ICA procedure and adopt the kernel trick to nonlinearly map the data into a feature space. The goal of this study is to seek effectively useful feature for faults classification.

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Power Reflection and Transmission Coefficients for Meander-Line Polarizers with a Chiral Slab

  • Delihacioglu, Kemal;Uckun, Savas
    • ETRI Journal
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    • v.25 no.1
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    • pp.41-48
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    • 2003
  • This paper presents a theoretical investigation of power reflection and transmission coefficients for a meander-line polarizer placed periodically on a chiral slab. It is assumed that a linearly polarized transverse magnetic wave is incident on a chiral slab from the air region. In the analysis, we derive the electric and magnetic fields in the modal form in the air and chiral regions. We obtain power reflection and transmission coefficients in a straightforward manner after matching the tangential components of the electric and magnetic fields at the boundaries. We present numerical results for the power reflection and transmission coefficients versus frequency and incident angle for different values of the chirality admittance. A meander-line polarizer placed on a dielectric slab can convert a linearly polarized wave to a circularly polarized wave. The design parameters for a meander-line polarizer are the dimensions of the meander-line and the values of the dielectric slab. Replacing a dielectric slab with a chiral slab introduces a new independent parameter which controls the wave polarization.

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ON FUNCTIONAL EQUATIONS OF THE FERMAT-WARING TYPE FOR NON-ARCHIMEDEAN VECTORIAL ENTIRE FUNCTIONS

  • An, Vu Hoai;Ninh, Le Quang
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.4
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    • pp.1185-1196
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    • 2016
  • We show a class of homogeneous polynomials of Fermat-Waring type such that for a polynomial P of this class, if $P(f_1,{\ldots},f_{N+1})=P(g_1,{\ldots},g_{N+1})$, where $f_1,{\ldots},f_{N+1}$; $g_1,{\ldots},g_{N+1}$ are two families of linearly independent entire functions, then $f_i=cg_i$, $i=1,2,{\ldots},N+1$, where c is a root of unity. As a consequence, we prove that if X is a hypersurface defined by a homogeneous polynomial in this class, then X is a unique range set for linearly non-degenerate non-Archimedean holomorphic curves.

A Compilation and Evaluation of Thermal and Mechanical Properties of Bentonite-based Buffer Materials for a High- level Waste Repository

  • Cho, Won-Jin;Lee, Jae-Owan;Kang, Chul-Hyung
    • Nuclear Engineering and Technology
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    • v.34 no.1
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    • pp.90-103
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    • 2002
  • The thermal and mechanical properties of compacted bentonite and bentonite-sand mixture were collected from the literatures and compiled. The thermal conductivity of bentonite is found to increase almost linearly with increasing dry density and water content of the bentonite. The specific heat can also be expressed as a function of water ontent, and the coefficient of thermal expansion is almost independent on the dry density. The logarithm of unconfined compressive strength and Young’s modulus of elasticity increase linearly with increasing dry density, and in the case of constant dry density, it can be fitted to a second order polynomial of water content. Also the unconfined compressive strength and Young’s modulus of elasticity of the bentonite-sand mixture decreases with increasing sand content. The Poisson’s ratio remains constant at the dry density higher than 1.6 Mg/m$_3$, and the shear strength increases with increasing dry density.