채민우 교수
Minwoo Chae
포항공과대학교 산업경영공학과 · 컴퓨터과학
연구실 소개
채민우 교수의 연구실은 비모수적 통계 및 베이지안 추론 분야에서 핵심적인 연구를 수행하고 있습니다. 특히, 어려운 구조(예: 저차원 다각형, 특이 분포)를 가진 데이터의 분포 추정, 복잡한 모델에서의 사후 분포 일致성 및 수렴 속도 분석에 초점을 맞추고 있으며, 워샤프트 거리(Wasserstein distance)와 같은 강력한 수학적 도구를 활용한 모델링 기법을 개발하고 있습니다. 이는 의료, 공학, 정보기술 등 다양한 분야에서의 정밀한 데이터 분석에 응용 가능합니다.
연구 현황
연구 성과 추이
표시된 성과는 수집된 데이터 기준으로 산출되며, 일부 차이가 있을 수 있습니다.
주요 논문
15Recent advances in the personality and turnover literatures suggest the importance of expanding current turnover criteria, incorporating dark personality traits, and examining the role of time in these relationships. The present study investigates these issues by considering both the speed and the reasons for leaving, examining a wider range of personality variables as predictors by including both “bright” and “dark” traits, and exploring the potential moderating effect of time in such predictio
Abstract We study Bayesian procedures for sparse linear regression when the unknown error distribution is endowed with a non-parametric prior. Specifically, we put a symmetrized Dirichlet process mixture of Gaussian prior on the error density, where the mixing distributions are compactly supported. For the prior on regression coefficients, a mixture of point masses at zero and continuous distributions is considered. Under the assumption that the model is well specified, we study behavior of the
We investigate statistical properties of a likelihood approach to nonparametric estimation of a singular distribution using deep generative models. More specifically, a deep generative model is used to model high-dimensional data that are assumed to concentrate around some low-dimensional structure. Estimating the distribution supported on this low-dimensional structure, such as a low-dimensional manifold, is challenging due to its singularity with respect to the Lebesgue measure in the ambient
It is well-known that the Kullback–Leibler support condition implies posterior consistency in the weak topology, but is not sufficient for consistency in the total variation distance. There is a counter–example. Since then many authors have proposed sufficient conditions for strong consistency; and the aim of the present paper is to introduce new conditions with specific application to nonparametric mixture models with heavy–tailed components, such as the Student-$t$. The key is a more focused r
We consider posterior consistency for a Markov model with a novel class of nonparametric prior. In this model, the transition density is parameterized via a mixing distribution function. Therefore, the Wasserstein distance between mixing measures can be used to construct neighborhoods of a transition density. The Wasserstein distance is sufficiently strong, for example, if the mixing distributions are compactly supported, it dominates the sup-$L_{1}$ metric. We provide sufficient conditions for
In this paper, we use the class of Wasserstein metrics to study asymptotic properties of posterior distributions. Our first goal is to provide sufficient conditions for posterior consistency. In addition to the well-known Schwartz’s Kullback–Leibler condition on the prior, the true distribution and most probability measures in the support of the prior are required to possess moments up to an order which is determined by the order of the Wasserstein metric. We further investigate convergence rate
본 연구에서는 논문이나 특허 등의 문서들의 인용 정보를 활용하여 연관성이 높고 중요한 특허를 추천하는 방법을 제안한다. 문서 간의 연관성 지표인 공통피인용횟수와 중요도 지표인 HITS를 적절한 형태로 결합한 뉴먼 커널로부터 두 정보의 반영 정도를 조율하는 것이 핵심이다. 제안하는 방법은 미래의 인용에 대한 예측 오차를 최소화하는 것으로 이를 통해 뉴먼 커널의 조율모수 <TEX>${\gamma}$</TEX>를 적절하게 선택할 수 있다. 또한, 거대 인용 자료를 분석하기 위해 필요한 계산 기술에 대해서 자세히 논의한다. 마지막으로, 미국 등록 특허 400만 건에 대한 실증적 자료 분석을 시행한다. In this research, we propose a document recommendation method which can find documents that are relatively important to a specific document based on citation inform
In a smooth semiparametric model, the marginal posterior distribution of the finite dimensional parameter of interest is expected to be asymptotically equivalent to the sampling distribution of frequentist's efficient estimators. This is the assertion of the so-called Bernstein-von Mises theorem, and recently, it has been proved in many interesting semiparametric models. In this thesis, we consider the semiparametric Bernstein-von Mises theorem in some models which have symmetric errors. The sim
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