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Latent Dirichlet Allocation (LDA)

Generative probabilistic model that discovers abstract topics in a collection of documents by assuming that each document is a mixture of topics and each topic is a distribution of words.

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Dirichlet Distribution

Multivariate probability distribution over the simplex used as a prior distribution in mixture models like LDA to model topic proportions.

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Topic Coherence

Qualitative measure evaluating the semantic cohesion of generated topics by analyzing the co-occurrences of the most probable words in a reference corpus.

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Document-Topic Matrix

Matrix θ where each row represents a document and each column the probability distribution of topics in that document, main result of LDA.

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Word-Topic Matrix

Matrix φ representing the probability distribution of words for each topic, indicating the relevance of each word to the different discovered themes.

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Hyperparameters Alpha Beta

Parameters of the Dirichlet distribution where α controls the dispersion of topics in documents and β the dispersion of words in topics.

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Collapsed Gibbs Sampling

Optimized variant of Gibbs Sampling where parameters θ and φ are analytically integrated, significantly accelerating LDA model convergence.

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Online LDA

Stochastic version of LDA processing documents in mini-batches to enable application on massive corpora with reduced memory complexity.

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Hierarchical Dirichlet Process

Non-parametric extension of LDA that automatically infers the optimal number of topics from the data without specifying this value a priori.

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Convergence Monitoring

Process of tracking the stability of LDA model parameters between successive iterations to determine when the algorithm has reached a stationary state.

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