Differences
This shows you the differences between two versions of the page.
| Both sides previous revisionPrevious revision | Next revisionBoth sides next revision | ||
| data_mining:neural_network:loss_functions [2019/11/09 23:58] – [Binary cross entropy] phreazer | data_mining:neural_network:loss_functions [2019/11/10 00:04] – [Binary cross entropy] phreazer | ||
|---|---|---|---|
| Line 20: | Line 20: | ||
| More classes, higher entropy | More classes, higher entropy | ||
| + | |||
| + | Recap cross-entropy: | ||
| + | |||
| + | $H_p(q) = - \sum_{c=1}^C q(y_c) * log(p(y_c))$ where p is other distribution | ||
| + | |||
| + | When $p == q$, then $H_p(q) == H(q)$, so cross-entropy >= entropy. | ||
| + | |||
| + | Recap KL-Divergence: | ||
| + | |||
| + | Is difference between cross-entropy and entropy. | ||
| + | |||
| + | $D_{KL}(q||p) = H_p(q) - H(q) = \sum_{c=1}^C q(y_c) (log(q(y_c) - log(p(y_c)))$ | ||