# Platt's scaling

raywayzhao posted @ Sun, 13 May 2012 00:12:34 +0800 in Notes with tags Machine learning , 2241 readers

By John C. Platt (1999) MIT

## Main

1. Modified (enhanced) sigmoid function
$$p_i = \frac{1}{1 + \exp(Ax + b)}$$
2. Scaled cost function
$$J = -\frac{1}{m}\sum_{i}{(t_i\log{p_i} + (1 - t_i)\log(1 - p_i))}$$
where $t_i\in\{0, 1\}$ is the class label.
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