vault backup: 2026-05-21 16:04:53
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@@ -17,6 +17,6 @@
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"repelStrength": 10,
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"linkStrength": 1,
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"linkDistance": 250,
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"scale": 0.20021871622586232,
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"scale": 0.2022585800147419,
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"close": true
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}
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@@ -1,14 +0,0 @@
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---
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excalidraw-plugin: parsed
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tags: [excalidraw]
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---
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==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving'
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## Drawing
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```compressed-json
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N4IgLgngDgpiBcIYA8DGBDANgSwCYCd0B3EAGhADcZ8BnbAewDsEAmcm+gV31TkQAswYKDXgB6MQHNsYfpwBGAOlT0AtmIBeNCtlQbs6RmPry6uA4wC0KDDgLFLUTJ2lH8MTDHQ0YNMWHRJFkUWAGZFULIkT1UYRjAaBABtAF1ydCgoAGUAsD5QSXw8LOwNPkZOTExyHRgiACF0VABrQq5GXABhekx6fAQQAGIAM1GxkABfCaA==
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```
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%%
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@@ -66,7 +66,7 @@ There are many ways to evaluate the performance of models. This is necessary to
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## Loss Functions
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Loss functions are meant to quantify the difference between observed values and the predictions of a model. They can be used to minimize loss and improve model performance.
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### Absolute Loss
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$$Y_{i} - \hat{Y}_{i}$$
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$$|Y_{i} - \hat{Y}_{i}|$$
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Used to measure the difference from the observed value and predicted value by the model.
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### Mean Absolute Error
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$$MAE=\frac{1}{n}\sum|\hat{Y}_{i} - Y_{i}|$$
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@@ -84,4 +84,6 @@ Logistic regressions also only predict between 0 - 1 (probabilities) so any erro
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The log loss function is used to penalize wrong predictions more harshly when they are more confident.
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![[LogLoss.excalidraw]]
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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
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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.
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### Cross Entropy Loss
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$$CE = -\sum{Y_{i} * \log(\hat{Y}_{i})}$$
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