How can I calculate conditional mutual information of two continuous random variables given a discrete class?
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I have 23 continuous random variable and one class variable which is discrete (It's a Naïve Bayes structure). How can I calculate conditional mutual information of these variables conditioned on knowing class information? I have built a structure of Naïve Bayes and also I learned the parameters (mu and covariance).
information-theory bayesian bayesian-network
edited Jan 7 at 21:37
Benyamin Jafari
1034
asked Feb 17 '17 at 16:31
Nima shiriNima shiri
262
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add a comment |
$begingroup$
I have 23 continuous random variable and one class variable which is discrete (It's a Naïve Bayes structure). How can I calculate conditional mutual information of these variables conditioned on knowing class information? I have built a structure of Naïve Bayes and also I learned the parameters (mu and covariance).
information-theory bayesian bayesian-network
edited Jan 7 at 21:37
Benyamin Jafari
1034
asked Feb 17 '17 at 16:31
Nima shiriNima shiri
262
$endgroup$
add a comment |
$begingroup$
I have 23 continuous random variable and one class variable which is discrete (It's a Naïve Bayes structure). How can I calculate conditional mutual information of these variables conditioned on knowing class information? I have built a structure of Naïve Bayes and also I learned the parameters (mu and covariance).
information-theory bayesian bayesian-network
edited Jan 7 at 21:37
Benyamin Jafari
1034
asked Feb 17 '17 at 16:31
Nima shiriNima shiri
262
$endgroup$
I have 23 continuous random variable and one class variable which is discrete (It's a Naïve Bayes structure). How can I calculate conditional mutual information of these variables conditioned on knowing class information? I have built a structure of Naïve Bayes and also I learned the parameters (mu and covariance).
information-theory bayesian bayesian-network
information-theory bayesian bayesian-network
edited Jan 7 at 21:37
Benyamin Jafari
1034
asked Feb 17 '17 at 16:31
Nima shiriNima shiri
262
edited Jan 7 at 21:37
Benyamin Jafari
1034
asked Feb 17 '17 at 16:31
Nima shiriNima shiri
262
edited Jan 7 at 21:37
Benyamin Jafari
1034
edited Jan 7 at 21:37
Benyamin Jafari
1034
edited Jan 7 at 21:37
Benyamin Jafari
1034
1034
asked Feb 17 '17 at 16:31
Nima shiriNima shiri
262
asked Feb 17 '17 at 16:31
Nima shiriNima shiri
262
asked Feb 17 '17 at 16:31
Nima shiriNima shiri
262
262
add a comment |
add a comment |
1 Answer
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In the naive Bayes structure, the variables $x_i$ and $x_j$ ($i,j$ are integers from 1 to 23 in your case) are independent given the class variable $C_k$; hence, the conditional mutual information $I(x_i;x_j|C_k)=0$ (for every pair $i,j$).
answered Mar 3 '17 at 11:00
BernhardBernhard
94847
$endgroup$
$begingroup$
Thanks, Bernard.
$endgroup$
– Nima shiri
Jan 10 at 11:14
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
In the naive Bayes structure, the variables $x_i$ and $x_j$ ($i,j$ are integers from 1 to 23 in your case) are independent given the class variable $C_k$; hence, the conditional mutual information $I(x_i;x_j|C_k)=0$ (for every pair $i,j$).
answered Mar 3 '17 at 11:00
BernhardBernhard
94847
$endgroup$
$begingroup$
Thanks, Bernard.
$endgroup$
– Nima shiri
Jan 10 at 11:14
add a comment |
$begingroup$
In the naive Bayes structure, the variables $x_i$ and $x_j$ ($i,j$ are integers from 1 to 23 in your case) are independent given the class variable $C_k$; hence, the conditional mutual information $I(x_i;x_j|C_k)=0$ (for every pair $i,j$).
answered Mar 3 '17 at 11:00
BernhardBernhard
94847
$endgroup$
$begingroup$
Thanks, Bernard.
$endgroup$
– Nima shiri
Jan 10 at 11:14
add a comment |
$begingroup$
In the naive Bayes structure, the variables $x_i$ and $x_j$ ($i,j$ are integers from 1 to 23 in your case) are independent given the class variable $C_k$; hence, the conditional mutual information $I(x_i;x_j|C_k)=0$ (for every pair $i,j$).
answered Mar 3 '17 at 11:00
BernhardBernhard
94847
$endgroup$
In the naive Bayes structure, the variables $x_i$ and $x_j$ ($i,j$ are integers from 1 to 23 in your case) are independent given the class variable $C_k$; hence, the conditional mutual information $I(x_i;x_j|C_k)=0$ (for every pair $i,j$).
answered Mar 3 '17 at 11:00
BernhardBernhard
94847
answered Mar 3 '17 at 11:00
BernhardBernhard
94847
answered Mar 3 '17 at 11:00
BernhardBernhard
94847
answered Mar 3 '17 at 11:00
BernhardBernhard
94847
94847
$begingroup$
Thanks, Bernard.
$endgroup$
– Nima shiri
Jan 10 at 11:14
add a comment |
$begingroup$
Thanks, Bernard.
$endgroup$
– Nima shiri
Jan 10 at 11:14
$begingroup$
Thanks, Bernard.
$endgroup$
– Nima shiri
Jan 10 at 11:14
$begingroup$
Thanks, Bernard.
$endgroup$
– Nima shiri
Jan 10 at 11:14
add a comment |
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