log_mean_exp¶
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tfsnippet.ops.
log_mean_exp
(x, axis=None, keepdims=False, name=None)¶ Compute \(\log \frac{1}{K} \sum_{k=1}^K \exp(x_k)\).
\[\begin{split}\begin{align*} \log \frac{1}{K} \sum_{k=1}^K \exp(x_k) &= \log \left[\exp(x_{max}) \frac{1}{K} \sum_{k=1}^K \exp(x_k - x_{max})\right] \\ &= x_{max} + \log \frac{1}{K} \sum_{k=1}^K \exp(x_k - x_{max}) \\ x_{max} &= \max x_k \end{align*}\end{split}\]Parameters: Returns: The computed value.
Return type: tf.Tensor