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statistics Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
and
natural language processing Natural language processing (NLP) is a subfield of computer science and especially artificial intelligence. It is primarily concerned with providing computers with the ability to process data encoded in natural language and is thus closely related ...
, a topic model is a type of
statistical model A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of Sample (statistics), sample data (and similar data from a larger Statistical population, population). A statistical model repre ...
for discovering the abstract "topics" that occur in a collection of documents. Topic modeling is a frequently used text-mining tool for discovery of hidden semantic structures in a text body. Intuitively, given that a document is about a particular topic, one would expect particular words to appear in the document more or less frequently: "dog" and "bone" will appear more often in documents about dogs, "cat" and "meow" will appear in documents about cats, and "the" and "is" will appear approximately equally in both. A document typically concerns multiple topics in different proportions; thus, in a document that is 10% about cats and 90% about dogs, there would probably be about 9 times more dog words than cat words. The "topics" produced by topic modeling techniques are clusters of similar words. A topic model captures this intuition in a mathematical framework, which allows examining a set of documents and discovering, based on the statistics of the words in each, what the topics might be and what each document's balance of topics is. Topic models are also referred to as probabilistic topic models, which refers to statistical algorithms for discovering the latent semantic structures of an extensive text body. In the age of information, the amount of the written material we encounter each day is simply beyond our processing capacity. Topic models can help to organize and offer insights for us to understand large collections of unstructured text bodies. Originally developed as a text-mining tool, topic models have been used to detect instructive structures in data such as genetic information, images, and networks. They also have applications in other fields such as
bioinformatics Bioinformatics () is an interdisciplinary field of science that develops methods and Bioinformatics software, software tools for understanding biological data, especially when the data sets are large and complex. Bioinformatics uses biology, ...
and
computer vision Computer vision tasks include methods for image sensor, acquiring, Image processing, processing, Image analysis, analyzing, and understanding digital images, and extraction of high-dimensional data from the real world in order to produce numerical ...
.


History

An early topic model was described by Papadimitriou, Raghavan, Tamaki and Vempala in 1998. Another one, called
probabilistic latent semantic analysis Probabilistic latent semantic analysis (PLSA), also known as probabilistic latent semantic indexing (PLSI, especially in information retrieval circles) is a statistical technique for the analysis of two-mode and co-occurrence data. In effect, one c ...
(PLSA), was created by Thomas Hofmann in 1999.
Latent Dirichlet allocation In natural language processing, latent Dirichlet allocation (LDA) is a Bayesian network (and, therefore, a generative statistical model) for modeling automatically extracted topics in textual corpora. The LDA is an example of a Bayesian topic ...
(LDA), perhaps the most common topic model currently in use, is a generalization of PLSA. Developed by David Blei,
Andrew Ng Andrew Yan-Tak Ng (; born April 18, 1976) is a British-American computer scientist and Internet Entrepreneur, technology entrepreneur focusing on machine learning and artificial intelligence (AI). Ng was a cofounder and head of Google Brain and ...
, and Michael I. Jordan in 2002, LDA introduces sparse Dirichlet prior distributions over document-topic and topic-word distributions, encoding the intuition that documents cover a small number of topics and that topics often use a small number of words. Other topic models are generally extensions on LDA, such as Pachinko allocation, which improves on LDA by modeling correlations between topics in addition to the word correlations which constitute topics. Hierarchical latent tree analysis
HLTA
is an alternative to LDA, which models word co-occurrence using a tree of latent variables and the states of the latent variables, which correspond to soft clusters of documents, are interpreted as topics.


Topic models for context information

Approaches for temporal information include Block and Newman's determination of the temporal dynamics of topics in the ''
Pennsylvania Gazette ''The Pennsylvania Gazette'' was one of the United States' most prominent newspapers from 1728 until 1800. In the years leading up to the American Revolution, the newspaper served as a voice for colonial opposition to Kingdom of Great Britain, ...
'' during 1728–1800. Griffiths & Steyvers used topic modeling on abstracts from the journal ''
PNAS ''Proceedings of the National Academy of Sciences of the United States of America'' (often abbreviated ''PNAS'' or ''PNAS USA'') is a peer-reviewed multidisciplinary scientific journal. It is the official journal of the National Academy of S ...
'' to identify topics that rose or fell in popularity from 1991 to 2001 whereas Lamba & Madhusushan used topic modeling on full-text research articles retrieved from DJLIT journal from 1981 to 2018. In the field of library and information science, Lamba & Madhusudhan applied topic modeling on different Indian resources like journal articles and electronic theses and resources (ETDs). Nelson has been analyzing change in topics over time in the ''
Richmond Times-Dispatch The ''Richmond Times-Dispatch'' (''RTD'' or ''TD'' for short) is the primary daily newspaper in Richmond, Virginia, and the primary newspaper of record for the state of Virginia. Circulation The ''Times-Dispatch'' has the second-highest circul ...
'' to understand social and political changes and continuities in Richmond during the
American Civil War The American Civil War (April 12, 1861May 26, 1865; also known by Names of the American Civil War, other names) was a civil war in the United States between the Union (American Civil War), Union ("the North") and the Confederate States of A ...
. Yang, Torget and Mihalcea applied topic modeling methods to newspapers from 1829 to 2008. Mimno used topic modelling with 24 journals on classical philology and archaeology spanning 150 years to look at how topics in the journals change over time and how the journals become more different or similar over time. Yin et al. introduced a topic model for geographically distributed documents, where document positions are explained by latent regions which are detected during inference. Chang and Blei included network information between linked documents in the relational topic model, to model the links between websites. The author-topic model by Rosen-Zvi et al. models the topics associated with authors of documents to improve the topic detection for documents with authorship information. HLTA was applied to a collection of recent research papers published at major AI and Machine Learning venues. The resulting model is calle
The AI Tree
The resulting topics are used to index the papers a
aipano.cse.ust.hk
to help researcher
track research trends and identify papers to read
and help conference organizers and journal editor
identify reviewers for submissions
To improve the qualitative aspects and coherency of generated topics, some researchers have explored the efficacy of "coherence scores", or otherwise how computer-extracted clusters (i.e. topics) align with a human benchmark. Coherence scores are metrics for optimising the number of topics to extract from a document corpus.


Algorithms

In practice, researchers attempt to fit appropriate model parameters to the data corpus using one of several heuristics for maximum likelihood fit. A survey by D. Blei describes this suite of algorithms. Several groups of researchers starting with Papadimitriou et al. have attempted to design algorithms with provable guarantees. Assuming that the data were actually generated by the model in question, they try to design algorithms that probably find the model that was used to create the data. Techniques used here include
singular value decomposition In linear algebra, the singular value decomposition (SVD) is a Matrix decomposition, factorization of a real number, real or complex number, complex matrix (mathematics), matrix into a rotation, followed by a rescaling followed by another rota ...
(SVD) and the method of moments. In 2012 an algorithm based upon
non-negative matrix factorization Non-negative matrix factorization (NMF or NNMF), also non-negative matrix approximation is a group of algorithms in multivariate analysis and linear algebra where a matrix is factorized into (usually) two matrices and , with the property th ...
(NMF) was introduced that also generalizes to topic models with correlations among topics. In 2017, neural network has been leveraged in topic modeling to make it faster in inference, which has been extended weakly supervised version. In 2018 a new approach to topic models was proposed: it is based on stochastic block model. Because of the recent development of LLM, topic modeling has leveraged LLM through contextual embedding and fine tuning.


Applications of topic models


To quantitative biomedicine

Topic models are being used also in other contexts. For examples uses of topic models in biology and bioinformatics research emerged. Recently topic models has been used to extract information from dataset of cancers' genomic samples. In this case topics are biological latent variables to be inferred.


To analysis of music and creativity

Topic models can be used for analysis of continuous signals like music. For instance, they were used to quantify how musical styles change in time, and identify the influence of specific artists on later music creation.


See also

*
Explicit semantic analysis In natural language processing and information retrieval, explicit semantic analysis (ESA) is a Vector space model, vectoral representation of text (individual words or entire documents) that uses a document corpus as a knowledge base. Specifically, ...
*
Latent semantic analysis Latent semantic analysis (LSA) is a technique in natural language processing, in particular distributional semantics, of analyzing relationships between a set of documents and the terms they contain by producing a set of concepts related to the d ...
*
Latent Dirichlet allocation In natural language processing, latent Dirichlet allocation (LDA) is a Bayesian network (and, therefore, a generative statistical model) for modeling automatically extracted topics in textual corpora. The LDA is an example of a Bayesian topic ...
* Hierarchical Dirichlet process *
Non-negative matrix factorization Non-negative matrix factorization (NMF or NNMF), also non-negative matrix approximation is a group of algorithms in multivariate analysis and linear algebra where a matrix is factorized into (usually) two matrices and , with the property th ...
*
Statistical classification When classification is performed by a computer, statistical methods are normally used to develop the algorithm. Often, the individual observations are analyzed into a set of quantifiable properties, known variously as explanatory variables or ''f ...
*
Unsupervised learning Unsupervised learning is a framework in machine learning where, in contrast to supervised learning, algorithms learn patterns exclusively from unlabeled data. Other frameworks in the spectrum of supervisions include weak- or semi-supervision, wh ...
* Mallet (software project) * Gensim * Sentence embedding


References


Further reading

* * * * * *Jockers, M. 201
Who's your DH Blog Mate: Match-Making the Day of DH Bloggers with Topic Modeling
Matthew L. Jockers, posted 19 March 2010 *Drouin, J. 201
Foray Into Topic Modeling
Ecclesiastical Proust Archive. posted 17 March 2011 *Templeton, C. 201
Topic Modeling in the Humanities: An Overview
Maryland Institute for Technology in the Humanities Blog. posted 1 August 2011 * *Yang, T., A Torget and R. Mihalcea (2011) Topic Modeling on Historical Newspapers
Proceedings of the 5th ACL-HLT Workshop on Language Technology for Cultural Heritage, Social Sciences, and Humanities
The Association for Computational Linguistics, Madison, WI. pages 96–104. * *


External links

* *
Topic Models Applied to Online News and Reviews
Video of a Google Tech Talk presentation by Alice Oh on topic modeling with LDA
Modeling Science: Dynamic Topic Models of Scholarly Research
Video of a Google Tech Talk presentation by David M. Blei
Automated Topic Models in Political Science
Video of a presentation by Brandon Stewart at th
Tools for Text Workshop
14 June 2010 *Shawn Graham, Ian Milligan, and Scott Weingart *Blei, David M


codedemo
- example of using LDA for topic modelling {{Natural Language Processing Statistical natural language processing Latent variable models Corpus linguistics