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betty920

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[ÇóÖú] ¾ÍÊÇSVMµÄBPAÇó½âËã·¨£¡£¡£¡£¡Ë­ÄܸøÎÒ°ÑÕâ¶Îα´úÂ룬д³É³ÌÐò¡£¡£¡£

This  appendix   shows  the  pseudo-code  for the  training is shown  below.   The  algorithm is a
model-trust algorithm  based on the Levenberg-Marquardt algorithm [17].

Input parameters:
out = array of SVM outputs  SVMµÄÊä³ö
target  = array of booleans: is ith example  a positive example?£¨0£¬1£©
priorl  = number  of positive examples prior0  = number  of negative examples
Outputs:
A£¬ B = parameters of sigmoid

A = 0
B = log((prior0+l)/(priorl+l))
hiTarget = (priorl+l)/(priorl+2) yiΪ+1ʱ
loTarget = l/(prior0+2)  yiΪ-1ʱ
lambda  = le-3 olderr  = le300
pp = temp array to store current  estimate of probability of examples
set all pp array elements to (priorl+l)/(prior0+priorl+2)
count = 0
for it = l to l00 {
a = 0£¬ b = 0£¬ c         = 0£¬ d = 0£¬ e = 0
// First£¬ compute  Hessian  & gradient of error function
// with respect  to A & B
for i = l to len {
if (target)
        t = hiTarget else
t = loTarget
dl = pp-t
d2 = pp*(l-pp)
a += out*out*d2 b += d2
c += out*d2
d += out*dl e += dl
}
        // If gradient is really  tiny£¬ then stop if (abs(d)  < 1e-9 && abs(e)  < 1e-9)
break
oldA = A
oldB = B
err = 0
        // Loop until goodness of fit increases while (1) {
det = (a+lambda)*(b+lambda)-c*c
if (det == 0) {         // if determinant of Hessian  is zero£¬
        // increase stabilizer lambda  *= 10
continue
}
A = oldA + ((b+lambda)*d-c*e)/det
B = oldB + ((a+lambda)*e-c*d)/det
// Now£¬ compute  the goodness of fit err = 0;
for i = 1 to len {
p = 1/(1+exp(out*A+B))
pp = p
// At this step£¬ make sure log(0)  returns  -200 err -= t*log(p)+(1-t)*log(1-p)
}
if (err < olderr*(1+1e-7)) {
lambda  *= 0.1 break
}
// error did not decrease: increase stabilizer by factor  of 10
// & try again lambda  *= 10
        if (lambda  >= 1e6) // something is broken.  Give up break
}
diff = err-olderr
scale = 0.5*(err+olderr+1)
if (diff > -1e-3*scale && diff < 1e-7*scale)
count++
else
        count = 0 olderr  = err
if (count  == 3)
break
}


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betty920

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ÒýÓûØÌû:
5Â¥: Originally posted by gzl9901 at 2012-05-02 17:58:44:
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Probabilisti  Outputs for Support Vetor Mahines and ¡£¡£¡£¡£¡£
6Â¥2012-05-03 08:37:35
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hengxue

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2Â¥2012-05-02 08:44:56
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betty920

гæ (СÓÐÃûÆø)

ÒýÓûØÌû:
2Â¥: Originally posted by hengxue at 2012-05-02 08:44:56:
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3Â¥2012-05-02 09:29:19
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hengxue

Í­³æ (СÓÐÃûÆø)

ÒýÓûØÌû:
3Â¥: Originally posted by betty920 at 2012-05-02 09:29:19:
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