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Loss functions

Matias Vazquez-Levi edited this page Feb 12, 2021 · 16 revisions

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Loss functions written below are provided as default by dannjs, see how to add more

These functions are represented below with yhat being the dannjs model predictions and y being the target values. The value n represents the length of the model's output array.


bce

Binary Cross Entropy Loss. This function is common in machine learning especially for classification tasks. This loss function is made for binary target outputs, it will not work properly if you set a target value as something other than 0 or 1.

Definition:



mse

Mean Squared Error, this is one of the most commonly used loss functions in deep learning. This function determines a loss value by averaging the square of the difference between the predicted and desired output. It is also the default value for a Dannjs model.

Definition:



mce

Mean Cubed Error, this is an experimental function. Cubing a number can output a negative value, this explains the |x|.

Definition:



rmse

Root Mean Squared Error, this function is the root of an mse output.

Definition:



mae

Mean Absolute Error, this function determines the loss value by averaging the absolute difference between predicted and desired output.

Definition:





mbe

Mean Bias Error, this function determines a loss value by averaging the raw difference between the predicted and desired output. The output of this function can be negative, which makes this function less preferable than others.

Definition:



lcl

Log Cosh Loss, this function determines a loss value by averaging the of the difference between the predicted and desired output.

Definition:



mael

Mean absolute exponential loss, this activaiton function is similar to mae but it offers a faster descent when approximately x = [-30.085,30.085] .

Definition:





Graph

Here is the graphed loss functions. The value x is the difference between y and yhat



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