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Saarland University
Bryan Hang Zhang
This work is licensed under a Creative Commons Attrib© Copyright Showeet.com
OBSERVED WORDS
HIDDEN TOPICAL
STRUCTURE
I like to eat broccoli and bananas.
I ate a banana and spinach smoothie for breakfast.
Chinchillas and kittens are cute.
My sister adopted a kitten yesterday.
Look at this cute hamster munching on a piece of broccoli.
For example, given these sentences and asked for 2 topics, LDA might
produce something like
Sentences 1 and 2: 100% Topic A
Sentences 3 and 4: 100% Topic B
Sentence 5: 60% Topic A, 40% Topic B
Topic A: 30% broccoli, 15% bananas, 10% breakfast,… (food)
Topic B: 20% chinchillas, 20% kittens, 20% cute, 15% hamster, … (animal)
how does LDA perform this discovery?
What is latent Dirichlet allocation?
It’s a way of automatically discovering topics that these sentences contain.
LDA Model
LDA Model
In more detail, LDA represents documents as mixtures of topics that
generate words with certain probabilities.
It assumes that documents are produced in the following fashion: when
writing each document,
Decide on the number of words N the document will have
(a Poisson distribution).
•Choose a topic mixture for the document (Dirichlet distribution).
For example, you might choose the document to consist of 1/3 food
and 2/3 cute animals.
LDA Model
Generate each word in the document by:
•First picking a topic (multinomial distribution )
For example, you might pick the food topic with 1/3 probability and
the cute animals topic with 2/3 probability).
•Using the topic to generate the word itself (the topic’s multinomial
distribution).
For example, for food topic, we might generate the word “broccoli”
with 30% probability, “bananas” with 15% probability, and so on.

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话题模型1

  • 2. This work is licensed under a Creative Commons Attrib© Copyright Showeet.com OBSERVED WORDS HIDDEN TOPICAL STRUCTURE
  • 3. I like to eat broccoli and bananas. I ate a banana and spinach smoothie for breakfast. Chinchillas and kittens are cute. My sister adopted a kitten yesterday. Look at this cute hamster munching on a piece of broccoli. For example, given these sentences and asked for 2 topics, LDA might produce something like Sentences 1 and 2: 100% Topic A Sentences 3 and 4: 100% Topic B Sentence 5: 60% Topic A, 40% Topic B Topic A: 30% broccoli, 15% bananas, 10% breakfast,… (food) Topic B: 20% chinchillas, 20% kittens, 20% cute, 15% hamster, … (animal) how does LDA perform this discovery? What is latent Dirichlet allocation? It’s a way of automatically discovering topics that these sentences contain.
  • 4. LDA Model LDA Model In more detail, LDA represents documents as mixtures of topics that generate words with certain probabilities. It assumes that documents are produced in the following fashion: when writing each document, Decide on the number of words N the document will have (a Poisson distribution). •Choose a topic mixture for the document (Dirichlet distribution). For example, you might choose the document to consist of 1/3 food and 2/3 cute animals.
  • 5. LDA Model Generate each word in the document by: •First picking a topic (multinomial distribution ) For example, you might pick the food topic with 1/3 probability and the cute animals topic with 2/3 probability). •Using the topic to generate the word itself (the topic’s multinomial distribution). For example, for food topic, we might generate the word “broccoli” with 30% probability, “bananas” with 15% probability, and so on.