Questions tagged [mse]

MSE stands for mean-squared error. It's a measurement of an empirical loss in certain mathematical models, especially regression models.

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How to optimize MAPE in regression algorithms

I have a regression task where the label is varying from about 0.001 to 1000. One of the feature called group, for example, group A corresponding label from 0-0.1 and group G corresponding label from ...
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Coefficients of Linear regression for minimizing MSE

(I asked this in mathematics site, but nobody responded, it seems the whole problem is more related to data science than math.) In a regression problem, loss function is: $$L(a,b) = {\sum_{i=1}^n (y^...
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Math behind, MSE = bias^2 + variance

Based on the deeplearningbook: $$MSE = E[(\theta_m^{-} - \theta)^2]$$ $$equals$$ $$Bias(\theta_m^{-})^2 + Var(\theta_m^{-})$$ where m is the number of samples ...
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A substitute formula for MSE

I don't understand where this formula for Mean Squared Error is coming from. How do we arrive at: $$MSE = \frac{1}{m}||y' - y||_2^2$$ from: $$MSE = \frac{1}{m}\cdot\sum_i(y'_{i} - y_{i})^2$$ (The ...