Introduction to the Dirichlet Distribution and Related Processes
By Andrew Béla Frigyik, Amol Kapila, Maya R. Gupta. 2010
239 citations recorded by the source corpus.
Subfields: Probabilistic & Bayesian Methods
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Citations in the corpus
- Rethinking LDA: Moment Matching for Discrete ICA (2015, neutral): “It is known (e.g., [32]) that a Dirichlet random variable can be sampled by first sampling independent gamma random variables ( α k ) and then dividing each of them by their sum ( λ ): θ k = α k / k α k (cid:48) , and, in other direction, the variables α k = λθ k are mutually independent, giving…”
- Quantitative analysis of large amounts of journalistic texts using topic modelling (2016, methodology): “For a good explanation of the role of hyper-parameters, we suggest the introduction to the Dirichlet distribution by Frigyik, Kapila, and Gupta (2010).”
- Unifying the analysis of high-throughput sequencing datasets: characterizing RNA-seq, 16S rRNA gene sequencing and selective growth experiments by compositional data analysis (2014, methodology): “Each instance sampled from a Dirichlet distribution is equivalent to assuming that read proportions for each feature are derived from a Poisson distribution with the additional constraint that the sum of the proportions of all compositions must sum to 1 after sampling [28].”
- Document classification by topic labeling (2013, unknown): “p ( θ | α ) = t =1 (cid:89) θ α t θ = ( θ , ..., θ , ..., θ ) ∼ Dirichlet( α , ..., α , ..., α ) (3) Aggregation of the Dirichlet distribution: The Dirichlet distribution has a fractal property [2].”
- Trusted Multi-View Classification With Dynamic Evidential Fusion (2022, unknown): “Given a subjective opinion, the mean of the corresponding Dirichlet distribution m̂ for the class probability m̂k is computed as m̂ m k 1⁄4 am k Sm [89].”
- Theory and Use of the EM Algorithm (2011, unknown): “First, we give a brief introduction to the compound Dirichlet distribution; for a more comprehensive introduction to the Dirichlet distribution, see [14].”