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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 } ÕæÐÄÇóÖú¡£ |
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2Â¥2012-05-02 08:44:56
betty920
гæ (СÓÐÃûÆø)
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3Â¥2012-05-02 09:29:19
hengxue
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4Â¥2012-05-02 09:33:20
gzl9901
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5Â¥2012-05-02 17:58:44
betty920
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6Â¥2012-05-03 08:37:35
joshuawangn
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7Â¥2014-09-15 20:33:24













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