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Kullback-Leibler divergence between normal distributions
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Mathematics
Area of mathematics
Probability and statistics
f-divergence
Kullback-Leibler divergence
Created
2026-09-24
Updated
2026-09-24
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For
univariate
normal distributions
,
D
KL
(
N
(
m
1
,
v
1
)
∥
N
(
m
0
,
v
0
)
)
=
2
1
[
lo
g
v
1
v
0
+
v
0
v
1
+
(
m
1
−
m
0
)
2
−
1
]
.
(1)
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(6)
Kullback-Leibler divergence
f-divergence
Probability and statistics
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 219
/
4
/
a
/
i
/
Solution
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