Huber Loss

Tags: #machine learning

Equation

$$L_{\delta}(y,f(x)) = \left \{ \begin{aligned} & \frac{1}{2}(y-f(x))^{2}, \text{for} |y-f(x)| \le \delta \cr & \delta \times (|y-f(x)| - \frac{1}{2}\delta) \cr \end{aligned} \right. $$

Latex Code

                                 L_{\delta}(y,f(x)) = \left \{ \begin{aligned} & \frac{1}{2}(y-f(x))^{2}, \text{for} |y-f(x)| \le \delta \cr & \delta \times (|y-f(x)| - \frac{1}{2}\delta) \cr \end{aligned} \right. 
                            

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Introduction

Huber Loss is widely used in regression as compared to MSE loss. When the error term |y-f(x)| is less or equal than delta, the loss is quadratic the same as MSE Mean Squared Error loss. When the regression error term is larger or equal than delta, the loss is linear.

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    2023-09-03 00:00

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