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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

Topic modeling, a method for extracting the underlying themes from a collection of documents, is an increasingly important component of the design of intelligent systems enabling the sense-making of highly dynamic and diverse streams of…

Information Retrieval · Computer Science 2019-10-07 Chris Gropp , Alexander Herzog , Ilya Safro , Paul W. Wilson , Amy W. Apon

Developing efficient and scalable algorithms for Latent Dirichlet Allocation (LDA) is of wide interest for many applications. Previous work has developed an O(1) Metropolis-Hastings sampling method for each token. However, the performance…

Machine Learning · Statistics 2016-03-03 Jianfei Chen , Kaiwei Li , Jun Zhu , Wenguang Chen

Latent Dirichlet allocation (LDA) is a widely-used probabilistic topic modeling paradigm, and recently finds many applications in computer vision and computational biology. In this paper, we propose a fast and accurate batch algorithm,…

Machine Learning · Computer Science 2014-04-09 Jia Zeng , Zhi-Qiang Liu , Xiao-Qin Cao

Latent Dirichlet allocation (LDA) is a popular topic modeling technique in academia but less so in industry, especially in large-scale applications involving search engine and online advertising systems. A main underlying reason is that the…

Information Retrieval · Computer Science 2015-12-08 Yi Wang , Xuemin Zhao , Zhenlong Sun , Hao Yan , Lifeng Wang , Zhihui Jin , Liubin Wang , Yang Gao , Ching Law , Jia Zeng

Latent Dirichlet allocation (LDA) is an important hierarchical Bayesian model for probabilistic topic modeling, which attracts worldwide interests and touches on many important applications in text mining, computer vision and computational…

Machine Learning · Computer Science 2012-08-14 Jia Zeng

Social scientists employ latent Dirichlet allocation (LDA) to find highly specific topics in large corpora, but they often struggle in this task because (1) LDA, in general, takes a significant amount of time to fit on large corpora; (2)…

Methodology · Statistics 2025-12-23 Kohei Watanabe

The increasing volume of short texts generated on social media sites, such as Twitter or Facebook, creates a great demand for effective and efficient topic modeling approaches. While latent Dirichlet allocation (LDA) can be applied, it is…

Computation and Language · Computer Science 2013-01-29 Jeon-Hyung Kang , Jun Ma , Yan Liu

Standard LDA model suffers the problem that the topic assignment of each word is independent and word correlation hence is neglected. To address this problem, in this paper, we propose a model called Word Related Latent Dirichlet Allocation…

Computation and Language · Computer Science 2014-11-11 Xun Wang

Latent Dirichlet Allocation (LDA) mining thematic structure of documents plays an important role in nature language processing and machine learning areas. However, the probability distribution from LDA only describes the statistical…

Computation and Language · Computer Science 2015-06-30 Li-Qiang Niu , Xin-Yu Dai

We review three algorithms for Latent Dirichlet Allocation (LDA). Two of them are variational inference algorithms: Variational Bayesian inference and Online Variational Bayesian inference and one is Markov Chain Monte Carlo (MCMC)…

Machine Learning · Computer Science 2013-07-02 Jaka Špeh , Andrej Muhič , Jan Rupnik

The contribution of this paper is two-fold. First, we present Indexing by Latent Dirichlet Allocation (LDI), an automatic document indexing method. The probability distributions in LDI utilize those in Latent Dirichlet Allocation (LDA), a…

Information Retrieval · Computer Science 2014-12-12 Yanshan Wang , Jae-Sung Lee , In-Chan Choi

We study a parametric family of latent variable models, namely topic models, equipped with a hierarchical structure among the topic variables. Such models may be viewed as a finite mixture of the latent Dirichlet allocation (LDA) induced…

Statistics Theory · Mathematics 2024-08-27 Sunrit Chakraborty , Rayleigh Lei , XuanLong Nguyen

This paper presents an intertemporal bimodal network to analyze the evolution of the semantic content of a scientific field within the framework of topic modeling, namely using the Latent Dirichlet Allocation (LDA). The main contribution is…

Computation and Language · Computer Science 2020-02-13 Luigi Di Caro , Marco Guerzoni , Massimiliano Nuccio , Giovanni Siragusa

Variational Bayes (VB) applied to latent Dirichlet allocation (LDA) has become the most popular algorithm for aspect modeling. While sufficiently successful in text topic extraction from large corpora, VB is less successful in identifying…

Machine Learning · Computer Science 2022-08-22 Rebecca M. C. Taylor , Johan A. du Preez

Topic modeling is a state-of-the-art technique for analyzing text corpora. It uses a statistical model, most commonly Latent Dirichlet Allocation (LDA), to discover abstract topics that occur in the document collection. However, the…

Human-Computer Interaction · Computer Science 2021-10-19 Valerie Müller , Christian Sieg , Lars Linsen

Latent Dirichlet Allocation (LDA) is a popular tool for analyzing discrete count data such as text and images. Applications require LDA to handle both large datasets and a large number of topics. Though distributed CPU systems have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-21 Kaiwei Li , Jianfei Chen , Wenguang Chen , Jun Zhu

Topic models are one of the most popular methods for learning representations of text, but a major challenge is that any change to the topic model requires mathematically deriving a new inference algorithm. A promising approach to address…

Machine Learning · Statistics 2017-03-07 Akash Srivastava , Charles Sutton

Topic models, such as latent Dirichlet allocation (LDA), can be useful tools for the statistical analysis of document collections and other discrete data. The LDA model assumes that the words of each document arise from a mixture of topics,…

Applications · Statistics 2009-09-29 David M. Blei , John D. Lafferty

Latent Dirichlet Allocation (LDA) model is a famous model in the topic model field, it has been studied for years due to its extensive application value in industry and academia. However, the mathematical derivation of LDA model is…

Information Retrieval · Computer Science 2019-08-28 Chen Ma