learning classifiers from only positive and unlabeled data: theory ...
learning classifiers from only positive and unlabeled data: theory ...
learning classifiers from only positive and unlabeled data: theory ...
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30<br />
Support Vector Machines<br />
Support vector machines (SVM) are linear functions of<br />
the form f(x) = w T x + b, where w is the weight vector<br />
<strong>and</strong> x is the input vector.<br />
Let the set of training examples be {(x 1, y 1), (x 2, y 2),<br />
…, (x n, y n)}, where x i is an input vector <strong>and</strong> y i is its class<br />
label, y i {1, -1}.<br />
To find the linear function:<br />
Minimize:<br />
Subject to:<br />
1<br />
2<br />
w w<br />
T<br />
T<br />
yi ( w<br />
xi<br />
b)<br />
<br />
1,<br />
i<br />
1,<br />
2, ..., n