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The aim of the paper is to provide an exact approach for generating a Poisson process sampled from a hierarchical CRM, without having to instantiate the infinitely many atoms of the random measures. We use completely random measures~(CRM)…

Statistics Theory · Mathematics 2016-06-03 Gaurav Pandey , Ambedkar Dukkipati

The latent Dirichlet allocation (LDA) model is a widely-used latent variable model in machine learning for text analysis. Inference for this model typically involves a single-site collapsed Gibbs sampling step for latent variables…

Computation · Statistics 2016-08-03 Xin Zhang , Scott A. Sisson

When building large-scale machine learning (ML) programs, such as big topic models or deep neural nets, one usually assumes such tasks can only be attempted with industrial-sized clusters with thousands of nodes, which are out of reach for…

Machine Learning · Statistics 2014-12-05 Jinhui Yuan , Fei Gao , Qirong Ho , Wei Dai , Jinliang Wei , Xun Zheng , Eric P. Xing , Tie-Yan Liu , Wei-Ying Ma

Spatial process models for analyzing geostatistical data entail computations that become prohibitive as the number of spatial locations become large. This manuscript develops a class of highly scalable Nearest Neighbor Gaussian Process…

Methodology · Statistics 2016-01-05 Abhirup Datta , Sudipto Banerjee , Andrew O. Finley , Alan E. Gelfand

We propose a geometric algorithm for topic learning and inference that is built on the convex geometry of topics arising from the Latent Dirichlet Allocation (LDA) model and its nonparametric extensions. To this end we study the…

Machine Learning · Statistics 2016-10-31 Mikhail Yurochkin , XuanLong Nguyen

News events and social media are composed of evolving storylines, which capture public attention for a limited period of time. Identifying storylines requires integrating temporal and linguistic information, and prior work takes a largely…

Computation and Language · Computer Science 2016-09-27 Vinodh Krishnan , Jacob Eisenstein

For organizing large text corpora topic modeling provides useful tools. A widely used method is Latent Dirichlet Allocation (LDA), a generative probabilistic model which models single texts in a collection of texts as mixtures of latent…

Computation and Language · Computer Science 2020-04-02 Jonas Rieger , Lars Koppers , Carsten Jentsch , Jörg Rahnenführer

Extracting and identifying latent topics in large text corpora has gained increasing importance in Natural Language Processing (NLP). Most models, whether probabilistic models similar to Latent Dirichlet Allocation (LDA) or neural topic…

Computation and Language · Computer Science 2023-03-31 Anton Thielmann , Quentin Seifert , Arik Reuter , Elisabeth Bergherr , Benjamin Säfken

The distance dependent Chinese Restaurant Process (ddCRP) provides a flexible prior distribution for clustering observations, incorporating covariate information through pairwise distances and accommodating a rich variety of cluster…

Methodology · Statistics 2026-05-18 Joseph Marsh , Theodore Kypraios , Rowland G. Seymour

In text mining, topic models are a type of probabilistic generative models for inferring latent semantic topics from text corpus. One of the most popular inference approaches to topic models is perhaps collapsed Gibbs sampling (CGS), which…

Computation and Language · Computer Science 2023-01-31 Daniel Rugeles , Zhen Hai , Juan Felipe Carmona , Manoranjan Dash , Gao Cong

The Recurrent Chinese Restaurant Process (RCRP) is a powerful statistical method for modeling evolving clusters in large scale social media data. With the RCRP, one can allow both the number of clusters and the cluster parameters in a model…

Artificial Intelligence · Computer Science 2017-08-22 Wei Wei , Kennth Joseph , Kathleen Carley

As electronically stored data grow in daily life, obtaining novel and relevant information becomes challenging in text mining. Thus people have sought statistical methods based on term frequency, matrix algebra, or topic modeling for text…

Information Retrieval · Computer Science 2019-07-04 Clint P. George , Wei Xia , George Michailidis

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

We present Nested Sampling with Slice-within-Gibbs (NS-SwiG), an algorithm for Bayesian inference and evidence estimation in high-dimensional models whose likelihood admits a factorization, such as hierarchical Bayesian models. We construct…

Computation · Statistics 2026-02-20 David Yallup

As one of the simplest probabilistic topic modeling techniques, latent Dirichlet allocation (LDA) has found many important applications in text mining, computer vision and computational biology. Recent training algorithms for LDA can be…

Machine Learning · Computer Science 2012-06-11 Jia Zeng , Zhi-Qiang Liu , Xiao-Qin Cao

Electronic Health Records (EHRs) in hospital information systems contain patients' diagnosis and treatments, so EHRs are essential to clinical data mining. Of all the tasks in the mining process, Chinese Word Segmentation (CWS) is a…

Computation and Language · Computer Science 2020-07-20 Tingting Cai , Zhiyuan Ma , Hong Zheng , Yangming Zhou

Much of information sits in an unprecedented amount of text data. Managing allocation of these large scale text data is an important problem for many areas. Topic modeling performs well in this problem. The traditional generative models…

Machine Learning · Computer Science 2015-11-30 Guorui Zhou , Guang Chen

With massive high-dimensional data now commonplace in research and industry, there is a strong and growing demand for more scalable computational techniques for data analysis and knowledge discovery. Key to turning these data into knowledge…

Data Structures and Algorithms · Computer Science 2016-06-17 Yasuo Tabei , Hiroto Saigo , Yoshihiro Yamanishi , Simon J. Puglisi

Standard Gaussian Process (GP) regression, a powerful machine learning tool, is computationally expensive when it is applied to large datasets, and potentially inaccurate when data points are sparsely distributed in a high-dimensional…

Machine Learning · Computer Science 2016-03-08 Z. Zhang , K. Duraisamy , N. A. Gumerov

The high-dimensional rank lasso (hdr lasso) model is an efficient approach to deal with high-dimensional data analysis. It was proposed as a tuning-free robust approach for the high-dimensional regression and was demonstrated to enjoy…

Optimization and Control · Mathematics 2024-04-19 Xiaoning Bai , Qingna Li