vault backup: 2026-05-21 15:31:48

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ben committed 2026-05-21 15:31:48 -07:00
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@@ -10,6 +10,12 @@ tags: [excalidraw]
# Excalidraw Data # Excalidraw Data
## Text Elements ## Text Elements
Penalizes values close
to 0 when observed is 1 ^O1xLahue
Penalizes values close
to 1 when observed is 0 ^pNg3O7Aq
## Embedded Files ## Embedded Files
5a51c110b5afb24bef8b96e35d9a41a03adfb967: $$-(y_{i}\ln(\hat{p}_{i}) + (1-y_{i})\ln(1-\hat{p}_{i}))$$ 5a51c110b5afb24bef8b96e35d9a41a03adfb967: $$-(y_{i}\ln(\hat{p}_{i}) + (1-y_{i})\ln(1-\hat{p}_{i}))$$
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``` ```
%% %%
@@ -84,4 +84,4 @@ Logistic regressions also only predict between 0 - 1 (probabilities) so any erro
The log loss function is used to penalize wrong predictions more harshly when they are more confident. The log loss function is used to penalize wrong predictions more harshly when they are more confident.
![[LogLoss.excalidraw]] ![[LogLoss.excalidraw]]
Only one of the terms inside of the parentheses will be non-zero based on if the observed class is 0 or 1. The log loss function then penalizes the incorrect prediction much more heavily the closer it is to the incorrect value