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Unsupervised Learning: Difference between revisions
→EM Algorithm
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}{Q^{(i)}_{(j)}}</math> is a constant.<br> | }{Q^{(i)}_{(j)}}</math> is a constant.<br> | ||
This implies <math>Q^(i)(j) = c * P(x^{(i)}, z^{(i)} = j ; \theta)</math>.<br> | This implies <math>Q^(i)(j) = c * P(x^{(i)}, z^{(i)} = j ; \theta)</math>.<br> | ||
Since Q is a pmf, we have <math>Q^(i)(j) = \frac{1}{P(x^({i})} * P(x^{(i)}, z^{(i)} = j ; \theta) = P(z^{(i)} ; x^{(i)}, \theta)</math> | Since Q is a pmf, we have <math>Q^{(i)}(j) = \frac{1}{P(x^({i})} * P(x^{(i)}, z^{(i)} = j ; \theta) = P(z^{(i)} ; x^{(i)}, \theta)</math> | ||