Softmax Regression
From Ufldl
m (→Parameterization) |
m (→Binary Logistic Regression) |
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&= | &= | ||
- | \frac{e^{ \Theta_1^T x^{( | + | \frac{e^{ \Theta_1^T x^{(i)} } }{ 1 + e^{ \Theta_1^T x^{(i)} } } |
\cdot | \cdot | ||
- | \frac{1}{e^{ \Theta_1^T x^{( | + | \frac{1}{e^{ \Theta_1^T x^{(i)} } } |
\begin{bmatrix} | \begin{bmatrix} | ||
e^{ \Theta_1^T x^{(i)} } \\ | e^{ \Theta_1^T x^{(i)} } \\ |