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We introduce three novel semi-parametric extensions of probabilistic canonical correlation analysis with identifiability guarantees. We consider moment matching techniques for estimation in these models. For that, by drawing explicit links…

Machine Learning · Statistics 2016-06-06 Anastasia Podosinnikova , Francis Bach , Simon Lacoste-Julien

Latent Dirichlet Allocation (LDA) is a prominent generative probabilistic model used for uncovering abstract topics within document collections. In this paper, we explore the effectiveness of augmenting topic models with Large Language…

Computation and Language · Computer Science 2025-07-14 Mengze Hong , Chen Jason Zhang , Di Jiang

We introduce incremental variational inference and apply it to latent Dirichlet allocation (LDA). Incremental variational inference is inspired by incremental EM and provides an alternative to stochastic variational inference. Incremental…

Machine Learning · Statistics 2015-07-23 Cedric Archambeau , Beyza Ermis

Tensor classification has become increasingly crucial in statistics and machine learning, with applications spanning neuroimaging, computer vision, and recommendation systems. However, the high dimensionality of tensors presents significant…

Methodology · Statistics 2024-09-24 Elynn Chen , Yuefeng Han , Jiayu Li

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

Nowadays, data analysis has become a problem as the amount of data is constantly increasing. In order to overcome this problem in textual data, many models and methods are used in natural language processing. The topic modeling field is one…

Computation and Language · Computer Science 2021-10-22 Zekeriya Anil Guven , Banu Diri , Tolgahan Cakaloglu

Independent Component Analysis (ICA) is intended to recover the mutually independent sources from their linear mixtures, and F astICA is one of the most successful ICA algorithms. Although it seems reasonable to improve the performance of F…

Machine Learning · Statistics 2022-02-09 YunPeng Li

Independent Component Analysis (ICA) is a classical method for recovering latent variables with useful identifiability properties. For independent variables, cumulant tensors are diagonal; relaxing independence yields tensors whose zero…

Statistics Theory · Mathematics 2025-10-10 Alvaro Ribot , Anna Seigal , Piotr Zwiernik

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 modeling is one of the most powerful techniques in text mining for data mining, latent data discovery, and finding relationships among data, text documents. Researchers have published many articles in the field of topic modeling and…

Information Retrieval · Computer Science 2018-12-07 Hamed Jelodar , Yongli Wang , Chi Yuan , Xia Feng , Xiahui Jiang , Yanchao Li , Liang Zhao

Methods for analysis of principal components in discrete data have existed for some time under various names such as grade of membership modelling, probabilistic latent semantic analysis, and genotype inference with admixture. In this paper…

Machine Learning · Computer Science 2012-07-19 Wray L. Buntine , Aleks Jakulin

Latent Dirichlet Allocation (LDA) is a foundational model for discovering latent thematic structure in discrete data, but its Dirichlet prior cannot represent the rich correlations and hierarchical relationships often present among topics.…

Machine Learning · Computer Science 2026-02-24 Zheng Wang , Nizar Bouguila

Topic models have emerged as fundamental tools in unsupervised machine learning. Most modern topic modeling algorithms take a probabilistic view and derive inference algorithms based on Latent Dirichlet Allocation (LDA) or its variants. In…

Machine Learning · Computer Science 2016-05-30 Ke Jiang , Suvrit Sra , Brian Kulis

Latent Dirichlet allocation (LDA) is widely used for unsupervised topic modelling on sets of documents. No temporal information is used in the model. However, there is often a relationship between the corresponding topics of consecutive…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-30 Werner van der Merwe , Herman Kamper , Johan du Preez

In the internet era there has been an explosion in the amount of digital text information available, leading to difficulties of scale for traditional inference algorithms for topic models. Recent advances in stochastic variational inference…

Machine Learning · Computer Science 2013-05-14 James Foulds , Levi Boyles , Christopher Dubois , Padhraic Smyth , Max Welling

Multilinear Discriminant Analysis (MDA) is a powerful dimension reduction method specifically formulated to deal with tensor data. Precisely, the goal of MDA is to find mode-specific projections that optimally separate tensor data from…

Numerical Analysis · Mathematics 2022-03-03 F. Dufrenois , A. El Ichi , K. Jbilou

Traditionally, Latent Dirichlet Allocation (LDA) ingests words in a collection of documents to discover their latent topics using word-document co-occurrences. However, it is unclear how to achieve the best results for languages without…

Computation and Language · Computer Science 2021-08-25 Jin Cheevaprawatdomrong , Alexandra Schofield , Attapol T. Rutherford

Latent Dirichlet Allocation (LDA) is a topic model widely used in natural language processing and machine learning. Most approaches to training the model rely on iterative algorithms, which makes it difficult to run LDA on big corpora that…

Machine Learning · Statistics 2020-10-23 Alexander Terenin , Måns Magnusson , Leif Jonsson , David Draper

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

In this paper we demonstrate the applicability of latent Dirichlet allocation (LDA) for classifying large Web document collections. One of our main results is a novel influence model that gives a fully generative model of the document…

Information Retrieval · Computer Science 2010-06-28 István Bíró , Jácint Szabó
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