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Dirichlet Process(DP) is a Bayesian non-parametric prior for infinite mixture modeling, where the number of mixture components grows with the number of data items. The Hierarchical Dirichlet Process (HDP), is an extension of DP for grouped…

Machine Learning · Statistics 2015-09-02 Lavanya Sita Tekumalla , Priyanka Agrawal , Indrajit Bhattacharya

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…

Machine Learning · Computer Science 2017-07-10 Dongwoo Kim , Alice Oh

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…

Machine Learning · Statistics 2015-04-14 Do-kyum Kim , Geoffrey M. Voelker , Lawrence K. Saul

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…

Machine Learning · Statistics 2021-05-26 Weipeng Huang , Nishma Laitonjam , Guangyuan Piao , Neil Hurley

Clustering is one of the most widely used procedures in the analysis of microarray data, for example with the goal of discovering cancer subtypes based on observed heterogeneity of genetic marks between different tissues. It is well-known…

Methodology · Statistics 2009-04-21 Heng Lian

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…

Machine Learning · Statistics 2012-01-10 Chong Wang , David M. Blei

Developing effective multimodal fusion approaches has become increasingly essential in many real-world scenarios, such as health care and finance. The key challenge is how to preserve the feature expressiveness in each modality while…

Machine Learning · Computer Science 2025-10-24 Tsai Hor Chan , Feng Wu , Yihang Chen , Guosheng Yin , Lequan Yu

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…

Machine Learning · Statistics 2014-12-18 Andrew M. Dai , Amos J. Storkey

Bayesian hierarchical modeling is a natural framework to effectively integrate data and borrow information across groups. In this paper, we address problems related to density estimation and identifying clusters across related groups, by…

Methodology · Statistics 2025-10-29 Huizi Zhang , Sara Wade , Natalia Bochkina

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…

Machine Learning · Statistics 2016-11-17 John Paisley , Chong Wang , David M. Blei , Michael I. Jordan

The hierarchical Dirichlet process is the cornerstone of Bayesian nonparametric multilevel models. Its generative model can be described through a set of latent variables, commonly referred to as tables within the popular restaurant…

Statistics Theory · Mathematics 2025-05-06 Marta Catalano , Claudio Del Sole

Micro and survey datasets often contain private information about individuals, like their health status, income or political preferences. Previous studies have shown that, even after data anonymization, a malicious intruder could still be…

Applications · Statistics 2024-08-26 Marco Battiston , Lorenzo Rimella

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…

Probability · Mathematics 2022-10-25 Shui Feng

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…

Machine Learning · Statistics 2013-01-17 John Paisley , Chong Wang , David Blei , Michael I. Jordan

In many real life problems, objects are described by large number of binary features. For instance, documents are characterized by presence or absence of certain keywords; cancer patients are characterized by presence or absence of certain…

Applications · Statistics 2016-03-09 Tapesh Santra

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…

Statistics Theory · Mathematics 2012-02-17 Wray Buntine , Marcus Hutter

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),…

Statistics Theory · Mathematics 2021-03-23 Lancelot F. James , Juho Lee , Abhinav Pandey

Dependent Dirichlet processes (DDP) have been widely applied to model data from distributions over collections of measures which are correlated in some way. On the other hand, in recent years, increasing research efforts in machine learning…

Machine Learning · Computer Science 2021-06-17 Xiaoli Li

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…

Machine Learning · Computer Science 2014-01-30 Vu Nguyen , Dinh Phung , XuanLong Nguyen , Svetha Venkatesh , Hung Hai Bui

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…

Machine Learning · Statistics 2017-07-04 Shiliang Sun , John Paisley , Qiuyang Liu
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