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I have read it said that the "stable training" of a deep learning model is important. What is meant by "stable training" of a deep learning model?

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I can say "Stable Learning" of a supervised machine learner is as follows:

A stable learning algorithm is one for which the prediction does not change much when the training data is modified slightly.

You can follow this link to know more in details about how can we measure the stability in the context of computational learning theory.

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