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Principal component analysis ( PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data preprocessing . The data is linearly transformed onto a new coordinate system such that the directions (principal components) capturing the largest variation in the data can be easily identified.
List of all 26 letters in the English Alphabet with names (words), pronunciation, number, capital and small letters from A to Z.
3 days ago · Compound interest is given by the formula \[C = \left[ {P{{\left( {1 + \dfrac{R}{{100}}} \right)}^T} - P} \right]\] where \[P\] is the principle amount, \[T\] is the time period and \[R\] is the rate on interest per annum.
Definition. Two events A and B are conditionally independent given an event C with P(C) > 0 if P(A ∩ B | C) = P(A | C)P(B | C) (1.8) Recall that from the definition of conditional probability, P(A | B) = P(A ∩ B) P(B), if P(B) > 0. By conditioning on C, we obtain P(A | B, C) = P(A ∩ B | C) P(B | C) if P(B | C), P(C) ≠ 0.
When A and B are independent, P(A and B) = P(A) * P(B); but when A and B are dependent, things get a little complicated, and the formula (also known as Bayes Rule) is P(A and B) = P(A | B) * P(B).
- 7 min
- Sal Khan
- There does not have to be a causative relationship between A and B, just a correlation. Suppose I have 4 friends: Amy is on the basketball team and...
- Don't infer cause from dependence. If we look at the likelihood of what you eat for breakfast, there will be a frequency of each choice. The depend...
- When we say S ∩ Q , we mean that both S and Q should happen isn't it. So we can express that in 2 ways. Why 2 ways?, Because S ∩ Q = Q ∩ S (Commuta...
- Multiplying P(A) and P(B) only works when A and B are independent. When they are not independent, then you need to use the conditional probability.
- Conditional probability P(A | B) = P(AnB) / P(B) So you're looking for the probability of both, divided by the probability of the thing that is the...
Jan 27, 2017 · I understand $P(A\cap B)/P(B) = P(A|B)$. The conditional is the intersection of A and B divided by the whole area of B. But why is $P(A\cap B|C)/P(B|C) = P(A|B \cap C)$? Can you give some intuit...
In 1987, Jean Touitou created a clothing line which would later become the A.P.C. brand. The clothes from this first menswear collection wear labels that only mention “HIVER 1987”. [1] It was only in 1989 that the labels referring to the seasons are replaced with A.P.C. labels, confirming the creation of the brand.