• 제목/요약/키워드: Gaussian measure

검색결과 185건 처리시간 0.026초

Shrinkage Estimator of Dispersion of an Inverse Gaussian Distribution

  • Lee, In-Suk;Park, Young-Soo
    • Journal of the Korean Data and Information Science Society
    • /
    • 제17권3호
    • /
    • pp.805-809
    • /
    • 2006
  • In this paper a shrinkage estimator for the measure of dispersion of the inverse Gaussian distribution with known mean is proposed. Also we compare the relative bias and relative efficiency of the proposed estimator with respect to minimum variance unbiased estimator.

  • PDF

A Density-based Clustering Method

  • Ahn, Sung Mahn;Baik, Sung Wook
    • Communications for Statistical Applications and Methods
    • /
    • 제9권3호
    • /
    • pp.715-723
    • /
    • 2002
  • This paper is to show a clustering application of a density estimation method that utilizes the Gaussian mixture model. We define "closeness measure" as a clustering criterion to see how close given two Gaussian components are. Closeness measure is defined as the ratio of log likelihood between two Gaussian components. According to simulations using artificial data, the clustering algorithm turned out to be very powerful in that it can correctly determine clusters in complex situations, and very flexible in that it can produce different sizes of clusters based on different threshold valuesold values

A New Distance Measure for a Variable-Sized Acoustic Model Based on MDL Technique

  • Cho, Hoon-Young;Kim, Sang-Hun
    • ETRI Journal
    • /
    • 제32권5호
    • /
    • pp.795-800
    • /
    • 2010
  • Embedding a large vocabulary speech recognition system in mobile devices requires a reduced acoustic model obtained by eliminating redundant model parameters. In conventional optimization methods based on the minimum description length (MDL) criterion, a binary Gaussian tree is built at each state of a hidden Markov model by iteratively finding and merging similar mixture components. An optimal subset of the tree nodes is then selected to generate a downsized acoustic model. To obtain a better binary Gaussian tree by improving the process of finding the most similar Gaussian components, this paper proposes a new distance measure that exploits the difference in likelihood values for cases before and after two components are combined. The mixture weight of Gaussian components is also introduced in the component merging step. Experimental results show that the proposed method outperforms MDL-based optimization using either a Kullback-Leibler (KL) divergence or weighted KL divergence measure. The proposed method could also reduce the acoustic model size by 50% with less than a 1.5% increase in error rate compared to a baseline system.

가우시안 프로세스 회귀분석을 이용한 영상초점으로부터의 3차원 형상 재구성 (3D Shape Recovery from Image Focus using Gaussian Process Regression)

  • 무하마드 타릭 마흐무드;최영규
    • 반도체디스플레이기술학회지
    • /
    • 제11권3호
    • /
    • pp.19-25
    • /
    • 2012
  • The accuracy of Shape From Focus (SFF) technique depends on the quality of the focus measurements which are computed through a focus measure operator. In this paper, we introduce a new approach to estimate 3D shape of an object based on Gaussian process regression. First, initial depth is estimated by applying a conventional focus measure on image sequence and maximizing it in the optical direction. In second step, input feature vectors consisting of eginvalues are computed from 3D neighborhood around the initial depth. Finally, by utilizing these features, a latent function is developed through Gaussian process regression to estimate accurate depth. The proposed approach takes advantages of the multivariate statistical features and covariance function. The proposed method is tested by using image sequences of various objects. Experimental results demonstrate the efficacy of the proposed scheme.

ON THE CONTINUITY AND GAUSSIAN CHAOS OF SELF-SIMILAR PROCESSES

  • Kim, Joo-Mok
    • 충청수학회지
    • /
    • 제12권1호
    • /
    • pp.133-146
    • /
    • 1999
  • Let {X(t), $t{\geq}0$} be a stochastic integral process represented by stable random measure or multiple Ito-Wiener integrals. Under some conditions, we prove the continuity and self-similarity of these stochastic integral processes. As an application, we get Gaussian chaos which has some shift continuous function.

  • PDF

Segment-based Image Classification of Multisensor Images

  • Lee, Sang-Hoon
    • 대한원격탐사학회지
    • /
    • 제28권6호
    • /
    • pp.611-622
    • /
    • 2012
  • This study proposed two multisensor fusion methods for segment-based image classification utilizing a region-growing segmentation. The proposed algorithms employ a Gaussian-PDF measure and an evidential measure respectively. In remote sensing application, segment-based approaches are used to extract more explicit information on spatial structure compared to pixel-based methods. Data from a single sensor may be insufficient to provide accurate description of a ground scene in image classification. Due to the redundant and complementary nature of multisensor data, a combination of information from multiple sensors can make reduce classification error rate. The Gaussian-PDF method defines a regional measure as the PDF average of pixels belonging to the region, and assigns a region into a class associated with the maximum of regional measure. The evidential fusion method uses two measures of plausibility and belief, which are derived from a mass function of the Beta distribution for the basic probability assignment of every hypothesis about region classes. The proposed methods were applied to the SPOT XS and ENVISAT data, which were acquired over Iksan area of of Korean peninsula. The experiment results showed that the segment-based method of evidential measure is greatly effective on improving the classification via multisensor fusion.

변형 검출을 위한 FBG 센서 인테로게이터 개발과 피크검출 알고리즘 성능 비교 (Development of A FBG Sensor Interrogator for Detecting Strain and Performance Comparison of Peak Detection Algorithms)

  • 박근수;박장식
    • 한국전자통신학회논문지
    • /
    • 제8권8호
    • /
    • pp.1137-1142
    • /
    • 2013
  • FBG센서는 구조물의 변형과 온도 측정에 주로 사용되고 있다. 본 논문에서는 FBG센서를 이용하여 균열을 측정하기 위하여 FPGA와 DSP를 이용하여 인테로게이터를 개발 구현하였다. 개발한 인테로게이터는 광원, 광서큘레이터, 광그레이팅 그리고 CCD센서 및 제어기로 구성된다. FBG센서로부터 반사된 광원의 스펙트럼을 분석하여 피크 파장를 검출하고 피크 파장의 변이를 이용하여 구조물의 변형 정도를 측정한다. 본 논문에서는 FBG센서 인테로게이터의 피크 검출 알고리즘에 주로 적용하는 중심점 알고리즘과 Gaussian 근사법을 비교한다. Gaussian 근사법에 개발한 인테로게이터에 적합함을 실험을 통하여 확인한다.

WICK DERIVATIONS ON WHITE NOISE FUNCTIONALS

  • Chung, Dong-Myung;Chung, Tae-Su
    • 대한수학회지
    • /
    • 제33권4호
    • /
    • pp.993-1008
    • /
    • 1996
  • The white noise analysis, initiated by Hida [3] in 1975, has been developed to an infinite dimensional distribution theory on Gaussian space $(E^*, \mu)$ as an infinite dimensional analogue of Schwartz distribution theory on Euclidean space with Legesgue measure. The mathematical framework of white noise analysis is the Gel'fand triple $(E) \subset (L^2) \subset (E)^*$ over $(E^*, \mu)$ where $\mu$ is the standard Gaussian measure associated with a Gel'fand triple $E \subset H \subset E^*$.

  • PDF

BOUNDS OF ZERO MEAN GAUSSIAN WITH COVARIANCE FOR AVERAGE ERROR OF TRAPEZOIDAL RULE

  • Hong, Bum-Il;Choi, Sung-Hee;Hahm, Nahm-Woo
    • Journal of applied mathematics & informatics
    • /
    • 제8권1호
    • /
    • pp.231-242
    • /
    • 2001
  • We showed in [2] that if r≤2, zero mean Gaussian of average error of the Trapezoidal rule is proportional to h/sub i//sup 2r+3/ on the interval [0,1]. In this paper, if r≥3, we show that zero mean Gaussian of average error of the Trapezoidal rule is bounded by Ch⁴/sub i/h⁴/sub j/.