What is the difference between global and local minima in supervised learning optimization?

Updated May 17, 2026

Short answer

Global minima is the lowest possible loss, while local minima are smaller valleys that are not the absolute best.

Deep explanation

In optimization, the global minimum represents the best possible solution with the lowest loss. Local minima are points where loss is lower than nearby points but not the lowest overall. In deep learning, due to high dimensionality, local minima are less problematic than saddle points. SGD and its variants help navigate these landscapes effectively.

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