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The problem of topic modeling can be seen as a generalization of the clustering problem, in that it posits that observations are generated due to multiple latent factors (e.g., the words in each document are generated as a mixture of…

Machine Learning · Computer Science 2013-01-21 Animashree Anandkumar , Dean P. Foster , Daniel Hsu , Sham M. Kakade , Yi-Kai Liu

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

Hyper-parameters play a major role in the learning and inference process of latent Dirichlet allocation (LDA). In order to begin the LDA latent variables learning process, these hyper-parameters values need to be pre-determined. We propose…

Machine Learning · Computer Science 2016-03-01 Osama Khalifa , David Wolfe Corne , Mike Chantler

An important aspect of text mining involves information retrieval in form of discovery of semantic themes (topics) from documents using topic modelling. While generative topic models like Latent Dirichlet Allocation (LDA) or Latent Semantic…

Machine Learning · Computer Science 2025-11-04 Satyajeet Sahoo , Jhareswar Maiti

We propose new algorithms for topic modeling when the number of topics is unknown. Our approach relies on an analysis of the concentration of mass and angular geometry of the topic simplex, a convex polytope constructed by taking the convex…

Machine Learning · Statistics 2017-10-10 Mikhail Yurochkin , Aritra Guha , XuanLong Nguyen

We introduce a novel approach for estimating Latent Dirichlet Allocation (LDA) parameters from collapsed Gibbs samples (CGS), by leveraging the full conditional distributions over the latent variable assignments to efficiently average over…

Machine Learning · Statistics 2017-04-12 Yannis Papanikolaou , James R. Foulds , Timothy N. Rubin , Grigorios Tsoumakas

Latent Dirichlet allocation (LDA) obtains essential information from data by using Bayesian inference. It is applied to knowledge discovery via dimension reducing and clustering in many fields. However, its generalization error had not been…

Machine Learning · Statistics 2021-01-26 Naoki Hayashi

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

We analyze methods for selecting topics in news articles to explain stock returns. We find, through empirical and theoretical results, that supervised Latent Dirichlet Allocation (sLDA) implemented through Gibbs sampling in a stochastic EM…

Statistical Finance · Quantitative Finance 2020-10-16 Paul Glasserman , Kriste Krstovski , Paul Laliberte , Harry Mamaysky

Topic models, and more specifically the class of Latent Dirichlet Allocation (LDA), are widely used for probabilistic modeling of text. MCMC sampling from the posterior distribution is typically performed using a collapsed Gibbs sampler. We…

Machine Learning · Statistics 2017-08-16 Måns Magnusson , Leif Jonsson , Mattias Villani , David Broman

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

In this paper, we provide the first practical algorithms with provable guarantees for the problem of inferring the topics assigned to each document in an LDA topic model. This is the primary inference problem for many applications of topic…

Machine Learning · Computer Science 2025-06-10 Adam Breuer

Topic models are widely used to discover the latent representation of a set of documents. The two canonical models are latent Dirichlet allocation, and Gaussian latent Dirichlet allocation, where the former uses multinomial distributions…

Machine Learning · Statistics 2023-06-08 Takahiro Yoshida , Ryohei Hisano , Takaaki Ohnishi

This paper presents a unified geometric framework for the statistical analysis of a general ill-posed linear inverse model which includes as special cases noisy compressed sensing, sign vector recovery, trace regression, orthogonal matrix…

Statistics Theory · Mathematics 2020-07-27 T. Tony Cai , Tengyuan Liang , Alexander Rakhlin

In this work, automatic analysis of themes contained in a large corpora of judgments from public procurement domain is performed. The employed technique is unsupervised latent Dirichlet allocation (LDA). In addition, it is proposed, to use…

Computation and Language · Computer Science 2014-12-18 Michał Łopuszyński

We investigate the problem of learning a topic model - the well-known Latent Dirichlet Allocation - in a distributed manner, using a cluster of C processors and dividing the corpus to be learned equally among them. We propose a simple…

Machine Learning · Computer Science 2009-09-28 James Petterson , Tiberio Caetano

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

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

Topic modelling in Natural Language Processing uncovers hidden topics in large, unlabelled text datasets. It is widely applied in fields such as information retrieval, content summarisation, and trend analysis across various disciplines.…

Computation and Language · Computer Science 2025-11-18 Saranzaya Magsarjav , Melissa Humphries , Jonathan Tuke , Lewis Mitchell

We introduce a non-parametric hierarchical Bayesian approach for open-ended 3D object categorization, named the Local Hierarchical Dirichlet Process (Local-HDP). This method allows an agent to learn independent topics for each category…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 H. Ayoobi , H. Kasaei , M. Cao , R. Verbrugge , B. Verheij