• 제목/요약/키워드: pseudo-likelihood

검색결과 41건 처리시간 0.024초

확산모형에 대한 누율생성함수의 근사와 가우도 추정법 (An Approximation of the Cumulant Generating Functions of Diffusion Models and the Pseudo-likelihood Estimation Method)

  • 이윤동;이은경
    • 한국경영과학회지
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    • 제38권1호
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    • pp.201-216
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    • 2013
  • Diffusion is a basic mathematical tool for modern financial engineering. The theory of the estimation methods for diffusion models is an important topic of the financial engineering. Many researches have been tried to apply the likelihood estimation method for estimating diffusion models. However, the likelihood estimation method for diffusion is complicated and needs much amount of computing. In this paper we develop the estimation methods which are simple enough to be compared to the Euler approximation method, and efficient enough statistically to be compared to the likelihood estimation method. We devise pseudo-likelihood and propose the maximum pseudo-likelihood estimation methods. The pseudo-likelihoods are obtained by approximating the transition density with normal distributions. The means and the variances of the distributions are obtained from the delta expansion suggested by Lee, Song and Lee (2012). We compare the newly suggested estimators with other existing estimators by simulation study. From the simulation study we find the maximum pseudo-likelihood estimator has very similar properties with the maximum likelihood estimator. Also the maximum pseudo-likelihood estimator is easy to apply to general diffusion models, and can be obtained by simple numerical steps.

유사-가능도 최대화를 통한 가우시안 프로세스 기반 음원분리 (Gaussian Processes for Source Separation: Pseudo-likelihood Maximization)

  • 박선호;최승진
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제35권7호
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    • pp.417-423
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    • 2008
  • 본 논문에서는 각 음원이 시간적 구조를 가졌을 경우 음원들을 분리해내는 확률적 음원분리 방법을 제안한다. 이를 위해 각 음원의 시간적 구조를 가우시안 프로세스(Gaussian process)로 모델링하고 기존의 음원분리 문제를 유사-가능도 최대화 문제(pseudo-likelihood maximization)로 공식화한다. 본 알고리즘을 통해 얻어진 데이타의 유사-가능도는 정규 분포이며 이는 가우시안 프로세스 회귀방법(Gaussian process regression)을 통해 쉽게 계산이 가능하다. 음원분리의 역혼합 행렬은 경도(gradient) 기반최적화 기법을 통해 데이타의 유사-가능도를 최대화하는 해를 찾음으로써 구해진다. 여러 실험을 통하여 제안 알고리듬이 몇 가지 특정 상황에서 기존의 분리 알고리듬들에 비해 우수한 성능을 보임을 확인 할 수 있다.

의사우도추정법에 의한 분산함수를 고려한 수위-유량 관계 곡선 산정법 개선 (Improvement of Rating Curve Fitting Considering Variance Function with Pseudo-likelihood Estimation)

  • 이우석;김상욱;정은성;이길성
    • 한국수자원학회논문집
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    • 제41권8호
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    • pp.807-823
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    • 2008
  • 수위-유량 관계 곡선을 나타내는 곡선식에 포함되어 있는 매개변수의 추정을 위해 많이 사용되는 로그선형 회귀분석은 잔차의 비등분산성(heteroscedasticity)을 고려하지 못하므로 본 연구에서는 의사우도추정법(pseudolikelihood estimation, P-LE)에 의해 분산함수를 추정하고 이와 함께 회귀계수를 추정할 수 있는 방법을 제시하였다. 이 과정에서 제시된 회귀잔차를 최소화하기 위하여 SA(simulated annealing)이라는 전역 최적화 알고리즘을 적용하였다. 또한 수위-유량 관계 곡선은 단면 등의 영향으로 인해 구간에 따라 각각 다르게 구축되어져야 하므로 이를 보다 객관적으로 판단하고 분리 위치를 추정하기 위하여 Heaviside 함수를 의사우도함수에 포함시켜 결과를 추정하도록 하였으며, 2개의 구간을 가지는 유량자료를 이용하여 제시된 방법의 합리성을 통계적으로 실험하였다. 이와 같이 통계적 실험을 통해 제시된 방법들이 기존 방법과 비교하여 가질 수 있는 장점을 파악하였으며, 제시된 방법들을 금강유역 5개 지점에서 대해 수행하여 효율성을 검증하였다.

Revisiting the Bradley-Terry model and its application to information retrieval

  • Jeon, Jong-June;Kim, Yongdai
    • Journal of the Korean Data and Information Science Society
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    • 제24권5호
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    • pp.1089-1099
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    • 2013
  • The Bradley-Terry model is widely used for analysis of pairwise preference data. We explain that the popularity of Bradley-Terry model is gained due to not only easy computation but also some nice asymptotic properties when the model is misspecified. For information retrieval required to analyze big ranking data, we propose to use a pseudo likelihood based on the Bradley-Terry model even when the true model is different from the Bradley-Terry model. We justify using the Bradley-Terry model by proving that the estimated ranking based on the proposed pseudo likelihood is consistent when the true model belongs to the class of Thurstone models, which is much bigger than the Bradley-Terry model.

Revisiting a Gravity Model of Immigration: A Panel Data Analysis of Economic Determinants

  • Kim, Kyunghun
    • East Asian Economic Review
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    • 제26권2호
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    • pp.143-169
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    • 2022
  • This study investigates the effect of economic factors on immigration using the gravity model of immigration. Cross-sectional regression and panel data analyses are conducted from 2000 to 2019 using the OECD International Migration Database, which consists of 36 destination countries and 201 countries of origin. The Poisson pseudo-maximum-likelihood method, which can effectively correct potential biased estimates caused by zeros in the immigration data, is used for estimation. The results indicate that the economic factors strengthened after the global financial crisis. Additionally, this effect varies depending on the type of immigration (the income level of origin country). The gravity model applied to immigration performs reasonably well, but it is necessary to consider the country-specific and time-varying characteristics.

유사가능도 기반의 네트워크 추정 모형에 대한 GPU 병렬화 BCDR 알고리즘 (BCDR algorithm for network estimation based on pseudo-likelihood with parallelization using GPU)

  • 김병수;유동현
    • Journal of the Korean Data and Information Science Society
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    • 제27권2호
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    • pp.381-394
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    • 2016
  • 그래피컬 모형은 변수들 사이의 조건부 종속성을 노드와 연결선을 통하여 그래프로 나타낸다. 변수들 사이의 복잡한 연관성을 표현하기 위하여 그래피컬 모형은 물리학, 경제학, 생물학을 포함하여 다양한 분야에 적용되고 있다. 조건부 종속성은 공분산 행렬의 역행렬의 비대각 성분이 0인 것과 대응하는 두 변수의 조건부 독립이 동치임에 기반하여 공분산 행렬의 역행렬로부터 추정될 수 있다. 본 논문은 공분산 행렬의 역행렬을 희박하게 추정하는 유사가능도 기반의 CONCORD (convex correlation selection method) 방법에 대하여 기존의 BCD (block coordinate descent) 알고리즘을 랜덤 치환을 활용한 갱신 규칙과 그래픽 처리 장치 (graphics processing unit)의 병렬 연산을 활용하여 고차원 자료에 대하여 보다 효율적인 BCDR (block coordinate descent with random permutation) 알고리즘을 제안하였다. 두 종류의 네트워크 구조를 고려한 모의실험에서 제안하는 알고리즘의 효율성을 수렴까지의 계산 시간을 비교하여 확인하였다.

BINARY RANDOM POWER APPROACH TO MODELING ASYMMETRIC CONDITIONAL HETEROSCEDASTICITY

  • KIM S.;HWANG S.Y.
    • Journal of the Korean Statistical Society
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    • 제34권1호
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    • pp.61-71
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    • 2005
  • A class of asymmetric ARCH processes is proposed via binary random power transformations. This class accommodates traditional nonlinear models such as threshold ARCH (Rabemanjara and Zacoian (1993)) and Box-Cox type ARCH models(Higgins and Bera (1992)). Stationarity condition of the model is addressed. Iterative least squares(ILS) and pseudo maximum like-lihood(PML) methods are discussed for estimating parameters and related algorithms are presented. Illustrative analysis for Korea Stock Prices Index (KOSPI) data is conducted.

MPE-LPC음성합성에서 Maximum- Likelihood Estimation에 의한 Multi-Pulse의 크기와 위치 추정 (Multi-Pulse Amplitude and Location Estimation by Maximum-Likelihood Estimation in MPE-LPC Speech Synthesis)

  • 이기용;최홍섭;안수길
    • 대한전자공학회논문지
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    • 제26권9호
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    • pp.1436-1443
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    • 1989
  • In this paper, we propose a maximum-likelihood estimation(MLE) method to obtain the location and the amplitude of the pulses in MPE( multi-pulse excitation)-LPC speech synthesis using multi-pulses as excitation source. This MLE method computes the value maximizing the likelihood function with respect to unknown parameters(amplitude and position of the pulses) for the observed data sequence. Thus in the case of overlapped pulses, the method is equivalent to Ozawa's crosscorrelation method, resulting in equal amount of computation and sound quality with the cross-correlation method. We show by computer simulation: the multi-pulses obtained by MLE method are(1) pseudo-periodic in pitch in the case of voicde sound, (2) the pulses are random for unvoiced sound, (3) the pulses change from random to periodic in the interval where the original speech signal changes from unvoiced to voiced. Short time power specta of original speech and syunthesized speech obtained by using multi-pulses as excitation source are quite similar to each other at the formants.

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Taxonomy of Ulva causing blooms from Jeju Island, Korea with new species, U. pseudo-ohnoi sp. nov. (Ulvales, Chlorophyta)

  • Lee, Hyung Woo;Kang, Jeong Chan;Kim, Myung Sook
    • ALGAE
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    • 제34권4호
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    • pp.253-266
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    • 2019
  • Several species classified to the genus Ulva are primarily responsible for causing green tides all over the world. For almost two decades, green tides have been resulted in numerous ecological problems along the eastern coast of Jeju Island, Korea. In order to characterize the species of Ulva responsible for causing the massive blooms on Jeju Island, we conducted DNA barcoding of tufA and rbcL sequences on 183 specimens of Ulva from eight sites on Jeju Island. The concatenated analysis identified five bloom-forming species: U. australis, U. lactuca, U. laetevirens, U. ohnoi and a novel species, U. pseudo-ohnoi sp. nov. Among them, U. australis, U. lactuca, and U. laetevirens caused to the blooms coming mainly from the substratum. U. ohnoi and U. pseudo-ohnoi sp. nov. were causative the free-floating blooms. Four species, except U. australis, are characterized by marginal teeth. A novel species, U. pseudo-ohnoi sp. nov., is clearly diverged from the U. lactuca, U. laetevirens, and U. ohnoi clade in the concatenated maximum likelihood analysis. Accurate species delimitation will contribute to a management of massive Ulva blooms based on this more comprehensive knowledge.