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Seminar 4 Probabilistic Topic Model

Topic modelingModels of a collection of compositesComposites are documentsParts are words (or phrases, n-grams)Two outputs:chance of selecting a particular part when sampling a particular topic chance of selecting a particular topic when

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Слайд 1 Seminar 4 Probabilistic Topic Model
Mikhail Kamrotov
Data Analysis in Politics and Journalism
Winter/Spring

2019

Seminar 4 Probabilistic Topic ModelMikhail KamrotovData Analysis in Politics and JournalismWinter/Spring 2019

Слайд 2Topic modeling
Models of a collection of composites
Composites are documents
Parts are

words (or phrases, n-grams)
Two outputs:
chance of selecting a particular part

when sampling a particular topic 
chance of selecting a particular topic when sampling a particular document or composite
Topic modelingModels of a collection of compositesComposites are documentsParts are words (or phrases, n-grams)Two outputs:chance of selecting

Слайд 3Assumptions
semantic information can be derived from a word-document co-occurrence matrix;
topic

is a probability distribution over words
to make a new

document, one chooses a distribution over topics
for each word in that document, one chooses a topic at random according to this distribution, and draws a word from that topic.
Resulting document is a mixture of topics



Assumptionssemantic information can be derived from a word-document co-occurrence matrix;topic is a probability distribution over words to

Слайд 4Generative model

Generative model

Слайд 5Probabilistic model

Probabilistic model

Слайд 6Dirichlet distribution

Dirichlet distribution

Слайд 7Geometric interpretation

Geometric interpretation

Слайд 8Main goal of the algorithm
To invert the generative process, inferring

the set of topics that were responsible for generating a

collection of documents.
Main goal of the algorithmTo invert the generative process, inferring the set of topics that were responsible

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