Download - PRML Mathematical notation
Transcript
-
8/14/2019 PRML Mathematical notation
1/6
1 / 6
PRML
Mathematical notation
M-1
April 25, 2008
-
8/14/2019 PRML Mathematical notation
2/6
2 / 6
(calculus) (linear algebra)
(probability theory)
-
8/14/2019 PRML Mathematical notation
3/6
3 / 6
x
T
M
(w1, . . . , wM) M w = (w1, . . . , wM)
T
-
8/14/2019 PRML Mathematical notation
4/6
4 / 6
[a, b] = {x|a x b}
(a, b] = {x|a < x b}
M M IM i = j Iij = 1 i = j Iij = 0
(functional) f[y] y(x)
g(x) = O(f(x)) x |f(x)/g(x)| g(x) = 3x2 + 2 g(x) = O(x2)
-
8/14/2019 PRML Mathematical notation
5/6
5 / 6
x f(x, y) Ex[f(x, y)]
z x f(x) Ex[f(x)|z]
x f(x) var[f(x)]
cov[x,y] cov[x,x] cov[x]
-
8/14/2019 PRML Mathematical notation
6/6
6 / 6
N x1, . . . ,xN x = (x1, . . . , xD)T
X X nth
x
T
n
x 1 N x1, . . . ,xN x x N x D