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We propose a generative model to detect globally optimal community structures in networks by utilizing random walks. Sophisticated parameter optimization algorithms are developed based on the Markov chain Monte Carlo methods to overcome…

物理与社会 · 物理学 2020-12-02 Takafumi J. Suzuki

Model comparison for the purposes of selection, averaging and validation is a problem found throughout statistics. Within the Bayesian paradigm, these problems all require the calculation of the posterior probabilities of models within a…

统计方法学 · 统计学 2015-06-08 Yan Zhou , Adam M Johansen , John A D Aston

In the realm of statistical learning, the increasing volume of accessible data and increasing model complexity necessitate robust methodologies. This paper explores two branches of robust Bayesian methods in response to this trend. The…

统计方法学 · 统计学 2024-12-02 Masahiro Tanaka

Generalized linear models are a popular tool in applied statistics, with their maximum likelihood estimators enjoying asymptotic Gaussianity and efficiency. As all models are wrong, it is desirable to understand these estimators' behaviours…

统计方法学 · 统计学 2024-12-10 Elliot H. Young , Rajen D. Shah

Analysis of competing risks data plays an important role in the lifetime data analysis. Recently Feizjavadian and Hashemi (Computational Statistics and Data Analysis, vol. 82, 19-34, 2015) provided a classical inference of a competing risks…

统计方法学 · 统计学 2021-05-04 Debashis Samanta , Debasis Kundu

Hierarchical parametric models consisting of observable and latent variables are widely used for unsupervised learning tasks. For example, a mixture model is a representative hierarchical model for clustering. From the statistical point of…

机器学习 · 统计学 2014-01-24 Keisuke Yamazaki

In parameter estimation problems one computes a posterior distribution over uncertain parameters defined jointly by a prior distribution, a model, and noisy data. Markov Chain Monte Carlo (MCMC) is often used for the numerical solution of…

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

统计方法学 · 统计学 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

The emergence of online enterprises spread across continents have given rise to the need for expert identification in this domain. Scenarios that includes the intention of the employer to find tacit expertise and knowledge of an employee…

社会与信息网络 · 计算机科学 2020-05-01 Saba Mahmood , Anwar Ghani , Ali Daud , Syed Muhammad Saqlain

In the modern age of social media and networks, graph representations of real-world phenomena have become an incredibly useful source to mine insights. Often, we are interested in understanding how entities in a graph are interconnected.…

机器学习 · 计算机科学 2021-12-16 Aneesh Komanduri , Justin Zhan

Gaussian mixtures are commonly used for modeling heavy-tailed error distributions in robust linear regression. Combining the likelihood of a multivariate robust linear regression model with a standard improper prior distribution yields an…

统计理论 · 数学 2023-01-05 Haoxiang Li , Qian Qin , Galin L. Jones

Let $\pi$ denote the intractable posterior density that results when the likelihood from a multivariate linear regression model with errors from a scale mixture of normals is combined with the standard non-informative prior. There is a…

统计理论 · 数学 2015-12-08 Qian Qin , James P. Hobert

We investigate how ideas from covariance localization in numerical weather prediction can be used in Markov chain Monte Carlo (MCMC) sampling of high-dimensional posterior distributions arising in Bayesian inverse problems. To localize an…

统计方法学 · 统计学 2019-01-09 Matthias Morzfeld , Xin T. Tong , Youssef M. Marzouk

Bayesian inference in state-space models is challenging due to high-dimensional state trajectories. A viable approach is particle Markov chain Monte Carlo, combining MCMC and sequential Monte Carlo to form "exact approximations" to…

统计计算 · 统计学 2022-10-27 Anna Wigren , Riccardo Sven Risuleo , Lawrence Murray , Fredrik Lindsten

This paper is motivated by a Eurobarometer survey on science knowledge. As part of the survey, respondents were asked to rank sources of science information in order of importance. The official statistical analysis of these data however…

应用统计 · 统计学 2011-01-10 Brian Francis , Regina Dittrich , Reinhold Hatzinger

This study proposes a reversible jump Markov chain Monte Carlo method for estimating parameters of lognormal distribution mixtures for income. Using simulated data examples, we examined the proposed algorithm's performance and the accuracy…

计量经济学 · 经济学 2025-10-28 Kazuhiko Kakamu

The multivariate extended skew-normal distribution allows for accommodating raw data which are skewed and heavy tailed, and has at least three appealing statistical properties, namely closure under conditioning, affine transformations, and…

统计方法学 · 统计学 2015-06-19 Mathieu Gerber , Florian Pelgrin

Network estimation and variable selection have been extensively studied in the statistical literature, but only recently have those two challenges been addressed simultaneously. In this paper, we seek to develop a novel method to…

统计方法学 · 统计学 2024-06-11 Nathan Osborne , Christine B. Peterson , Marina Vannucci

Monte Carlo methods are essential tools for Bayesian inference. Gibbs sampling is a well-known Markov chain Monte Carlo (MCMC) algorithm, extensively used in signal processing, machine learning, and statistics, employed to draw samples from…

统计计算 · 统计学 2017-12-21 Luca Martino , Victor Elvira , Gustau Camps-Valls

The Linear Ballistic Accumulator (Brown & Heathcote, 2008) model is used as a measurement tool to answer questions about applied psychology. The analyses based on this model depend upon the model selected and its estimated parameters.…

统计方法学 · 统计学 2020-03-03 David Gunawan , Guy E. Hawkins , Minh-Ngoc Tran , Robert Kohn , Scott Brown