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36 строки
754 B
Plaintext
36 строки
754 B
Plaintext
2017
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Essential Math Competencies in Machine Learning
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https://www.youtube.com/watch?v=1c25FFm87_c
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Pr(Y|X)*Pr(X) = Pr(Y,X) = Pr(X|Y)*Pr(Y)
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Pr(Y|X)*Pr(X)
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Pr(X|Y) = ------------
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Pr(Y)
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Raygorodsky - 2017
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https://www.youtube.com/playlist?list=PL567xYdMCWxYzFfcM1Hafz5tgf1SJWBi-
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Intuitively, elementary events are independent if
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P(A|B) = P(A) // knowledge of B gives no new info about the probability of A
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also
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P(B|A) = P(B)
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Multiplication theorem
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P(A|B)*P(B) = P(A /\ B) // /\ is an intersection
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From it
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P(A|B)*P(B)
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---------- = P(A)*P(B)
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P(A /\ B)
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It is better (because includes cases when P(A) or P(B) can be = 0)
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So, we can come to definition
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P(A /\ B) = P(A)*P(B)
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