Mean Squared Error：

Love It or Leave It？

Why do we love the MSE？

• It is simple.

• It has a clear physical meaning.

• The MSE is an excellent metric in the context of optimization.

• The MSE is a desirable measure in the statistic and estimation framework.

What’s wrong with MSE？

What are the alternatives？• Structural similarity

SSIM

CW-SSIM

• Visual information fidelity

• From images to videos

• From visual to audio signals

• Optimization

Image restoration

• Signal with linear blur and additive noise

• Minimizes the MSE

• Maximizes the statistical version of the SSIM index

Pattern recognition