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Read the following expression regarding mutual information I(X;Y). Which of the following expressions is/are correct
- a)I(X;Y) = H(X) – H(Y/X)
- b)I(X;Y) = H(X) – H(X/Y)
- c)I(X;Y) = H(X) + H(Y) – H(X,Y)
- d)I(X;Y) = H(X) + H(Y) + H(X,Y)
Correct answer is option 'B,C'. Can you explain this answer?
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Read the following expression regarding mutual information I(X;Y). Whi...
Mutual Information measures the amount of information that one Random variable contains about another Random variable.
The mutual information between two jointly distributed discrete Random variables X and Y is given by:
In terms of Entropy, this is written as:
I(X ; Y) = H(X) – H(X/Y) ---(1)
(Option (b) is correct)
Also, the conditional entropy states that:
H(X, Y) = H(Y/X) + H(X)
H(X, Y) = H(X/Y) + H(Y)
From above equations we can write:
H(X/Y) = H(X, Y) – H(Y) ---(2)
Using Equations (1) and (2), we can write:
I(X ; Y) = H(X) – [H(X, Y) – H(Y)]
I(X ; Y) = H(X) + H(Y) – H(X, Y) ---(3)
(Option (c) is correct)
The mutual information between two jointly distributed discrete Random variables X and Y is given by:
In terms of Entropy, this is written as:
I(X ; Y) = H(X) – H(X/Y) ---(1)
(Option (b) is correct)
Also, the conditional entropy states that:
H(X, Y) = H(Y/X) + H(X)
H(X, Y) = H(X/Y) + H(Y)
From above equations we can write:
H(X/Y) = H(X, Y) – H(Y) ---(2)
Using Equations (1) and (2), we can write:
I(X ; Y) = H(X) – [H(X, Y) – H(Y)]
I(X ; Y) = H(X) + H(Y) – H(X, Y) ---(3)
(Option (c) is correct)
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Read the following expression regarding mutual information I(X;Y). Which of the following expressions is/are correcta)I(X;Y) = H(X) – H(Y/X)b)I(X;Y) = H(X) – H(X/Y)c)I(X;Y) = H(X) + H(Y) – H(X,Y)d)I(X;Y) = H(X) + H(Y) + H(X,Y)Correct answer is option 'B,C'. Can you explain this answer?
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Read the following expression regarding mutual information I(X;Y). Which of the following expressions is/are correcta)I(X;Y) = H(X) – H(Y/X)b)I(X;Y) = H(X) – H(X/Y)c)I(X;Y) = H(X) + H(Y) – H(X,Y)d)I(X;Y) = H(X) + H(Y) + H(X,Y)Correct answer is option 'B,C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Read the following expression regarding mutual information I(X;Y). Which of the following expressions is/are correcta)I(X;Y) = H(X) – H(Y/X)b)I(X;Y) = H(X) – H(X/Y)c)I(X;Y) = H(X) + H(Y) – H(X,Y)d)I(X;Y) = H(X) + H(Y) + H(X,Y)Correct answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following expression regarding mutual information I(X;Y). Which of the following expressions is/are correcta)I(X;Y) = H(X) – H(Y/X)b)I(X;Y) = H(X) – H(X/Y)c)I(X;Y) = H(X) + H(Y) – H(X,Y)d)I(X;Y) = H(X) + H(Y) + H(X,Y)Correct answer is option 'B,C'. Can you explain this answer?.
Read the following expression regarding mutual information I(X;Y). Which of the following expressions is/are correcta)I(X;Y) = H(X) – H(Y/X)b)I(X;Y) = H(X) – H(X/Y)c)I(X;Y) = H(X) + H(Y) – H(X,Y)d)I(X;Y) = H(X) + H(Y) + H(X,Y)Correct answer is option 'B,C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Read the following expression regarding mutual information I(X;Y). Which of the following expressions is/are correcta)I(X;Y) = H(X) – H(Y/X)b)I(X;Y) = H(X) – H(X/Y)c)I(X;Y) = H(X) + H(Y) – H(X,Y)d)I(X;Y) = H(X) + H(Y) + H(X,Y)Correct answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following expression regarding mutual information I(X;Y). Which of the following expressions is/are correcta)I(X;Y) = H(X) – H(Y/X)b)I(X;Y) = H(X) – H(X/Y)c)I(X;Y) = H(X) + H(Y) – H(X,Y)d)I(X;Y) = H(X) + H(Y) + H(X,Y)Correct answer is option 'B,C'. Can you explain this answer?.
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Read the following expression regarding mutual information I(X;Y). Which of the following expressions is/are correcta)I(X;Y) = H(X) – H(Y/X)b)I(X;Y) = H(X) – H(X/Y)c)I(X;Y) = H(X) + H(Y) – H(X,Y)d)I(X;Y) = H(X) + H(Y) + H(X,Y)Correct answer is option 'B,C'. Can you explain this answer?, a detailed solution for Read the following expression regarding mutual information I(X;Y). Which of the following expressions is/are correcta)I(X;Y) = H(X) – H(Y/X)b)I(X;Y) = H(X) – H(X/Y)c)I(X;Y) = H(X) + H(Y) – H(X,Y)d)I(X;Y) = H(X) + H(Y) + H(X,Y)Correct answer is option 'B,C'. Can you explain this answer? has been provided alongside types of Read the following expression regarding mutual information I(X;Y). Which of the following expressions is/are correcta)I(X;Y) = H(X) – H(Y/X)b)I(X;Y) = H(X) – H(X/Y)c)I(X;Y) = H(X) + H(Y) – H(X,Y)d)I(X;Y) = H(X) + H(Y) + H(X,Y)Correct answer is option 'B,C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Read the following expression regarding mutual information I(X;Y). Which of the following expressions is/are correcta)I(X;Y) = H(X) – H(Y/X)b)I(X;Y) = H(X) – H(X/Y)c)I(X;Y) = H(X) + H(Y) – H(X,Y)d)I(X;Y) = H(X) + H(Y) + H(X,Y)Correct answer is option 'B,C'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
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