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相关论文: Nested Hierarchical Dirichlet Processes for Multi-…

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We develop a nested hierarchical Dirichlet process (nHDP) for hierarchical topic modeling. The nHDP is a generalization of the nested Chinese restaurant process (nCRP) that allows each word to follow its own path to a topic node according…

机器学习 · 统计学 2016-11-17 John Paisley , Chong Wang , David M. Blei , Michael I. Jordan

We develop a nested hierarchical Dirichlet process (nHDP) for hierarchical topic modeling. The nHDP is a generalization of the nested Chinese restaurant process (nCRP) that allows each word to follow its own path to a topic node according…

机器学习 · 统计学 2013-01-17 John Paisley , Chong Wang , David Blei , Michael I. Jordan

This paper focuses on the problem of hierarchical non-overlapping clustering of a dataset. In such a clustering, each data item is associated with exactly one leaf node and each internal node is associated with all the data items stored in…

机器学习 · 统计学 2021-05-26 Weipeng Huang , Nishma Laitonjam , Guangyuan Piao , Neil Hurley

We propose the supervised hierarchical Dirichlet process (sHDP), a nonparametric generative model for the joint distribution of a group of observations and a response variable directly associated with that whole group. We compare the sHDP…

机器学习 · 统计学 2014-12-18 Andrew M. Dai , Amos J. Storkey

The hierarchical Dirichlet process (HDP) has become an important Bayesian nonparametric model for grouped data, such as document collections. The HDP is used to construct a flexible mixed-membership model where the number of components is…

机器学习 · 统计学 2012-01-10 Chong Wang , David M. Blei

The cooperative hierarchical structure is a common and significant data structure observed in, or adopted by, many research areas, such as: text mining (author-paper-word) and multi-label classification (label-instance-feature). Renowned…

机器学习 · 计算机科学 2017-07-19 Junyu Xuan , Jie Lu , Guangquan Zhang , Richard Yi Da Xu

Tree structures are ubiquitous in data across many domains, and many datasets are naturally modelled by unobserved tree structures. In this paper, first we review the theory of random fragmentation processes [Bertoin, 2006], and a number of…

机器学习 · 统计学 2015-09-17 Hong Ge , Yarin Gal , Zoubin Ghahramani

We present a Bayesian nonparametric framework for multilevel clustering which utilizes group-level context information to simultaneously discover low-dimensional structures of the group contents and partitions groups into clusters. Using…

机器学习 · 计算机科学 2014-01-30 Vu Nguyen , Dinh Phung , XuanLong Nguyen , Svetha Venkatesh , Hung Hai Bui

Bayesian nonparametric hierarchical priors are highly effective in providing flexible models for latent data structures exhibiting sharing of information between and across groups. Most prominent is the Hierarchical Dirichlet Process (HDP),…

统计理论 · 数学 2021-03-23 Lancelot F. James , Juho Lee , Abhinav Pandey

We present the \textit{hierarchical Dirichlet scaling process} (HDSP), a Bayesian nonparametric mixed membership model. The HDSP generalizes the hierarchical Dirichlet process (HDP) to model the correlation structure between metadata in the…

机器学习 · 计算机科学 2017-07-10 Dongwoo Kim , Alice Oh

We describe a nonparametric topic model for labeled data. The model uses a mixture of random measures (MRM) as a base distribution of the Dirichlet process (DP) of the HDP framework, so we call it the DP-MRM. To model labeled data, we…

机器学习 · 计算机科学 2012-06-22 Dongwoo Kim , Suin Kim , Alice Oh

We present the nested Chinese restaurant process (nCRP), a stochastic process which assigns probability distributions to infinitely-deep, infinitely-branching trees. We show how this stochastic process can be used as a prior distribution in…

机器学习 · 统计学 2009-08-27 David M. Blei , Thomas L. Griffiths , Michael I. Jordan

The Hierarchical Dirichlet process is a discrete random measure serving as an important prior in Bayesian non-parametrics. It is motivated with the study of groups of clustered data. Each group is modelled through a level two Dirichlet…

概率论 · 数学 2022-10-25 Shui Feng

Posterior computation in hierarchical Dirichlet process (HDP) mixture models is an active area of research in nonparametric Bayes inference of grouped data. Existing literature almost exclusively focuses on the Chinese restaurant franchise…

统计计算 · 统计学 2024-08-06 Snigdha Das , Yabo Niu , Yang Ni , Bani K. Mallick , Debdeep Pati

We study the problem of topic modeling in corpora whose documents are organized in a multi-level hierarchy. We explore a parametric approach to this problem, assuming that the number of topics is known or can be estimated by…

机器学习 · 统计学 2015-04-14 Do-kyum Kim , Geoffrey M. Voelker , Lawrence K. Saul

The two parameter Poisson-Dirichlet Process (PDP), a generalisation of the Dirichlet Process, is increasingly being used for probabilistic modelling in discrete areas such as language technology, bioinformatics, and image analysis. There is…

统计理论 · 数学 2012-02-17 Wray Buntine , Marcus Hutter

Dirichlet processes (DP) are widely applied in Bayesian nonparametric modeling. However, in their basic form they do not directly integrate dependency information among data arising from space and time. In this paper, we propose location…

机器学习 · 统计学 2017-07-04 Shiliang Sun , John Paisley , Qiuyang Liu

We consider an array of random variables, taking values in a complete and separable metric space, that exhibits a kind of symmetry which we call row exchangeability. Given such an array, a natural model for Bayesian nonparametric inference…

统计理论 · 数学 2025-10-10 Evan Donald , Jason Swanson

Time-varying mixture densities occur in many scenarios, for example, the distributions of keywords that appear in publications may evolve from year to year, video frame features associated with multiple targets may evolve in a sequence. Any…

机器学习 · 统计学 2016-04-19 Cheng Luo , Yang Xiang , Richard Yi Da Xu

To scale non-parametric extensions of probabilistic topic models such as Latent Dirichlet allocation to larger data sets, practitioners rely increasingly on parallel and distributed systems. In this work, we study data-parallel training for…

机器学习 · 统计学 2020-10-07 Alexander Terenin , Måns Magnusson , Leif Jonsson
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