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AI Glossary · Concepts

What is Convergence?

Convergence

In machine learning, convergence is the point in training where further updates barely change the model or its loss, so more training on the same data would add little. A run that never settles is said to diverge or fail to converge.

Also known as: model convergence, training convergence

· Chain of Thought

Model Training

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Training is a loop: show the model examples, measure its error with a loss function, nudge its parameters, repeat. Plotted over time, the loss usually drops steeply, then flattens. When it has flattened and stays flat, the run has converged. Think of a ball rolling into a valley: eventually it stops moving much.

Teams watch these loss curves to decide when to stop and to spot trouble. A curve that oscillates or shoots upward usually points to a learning rate that’s too high, a batch size problem, exploding gradients or bad data. Google also warns about a false finish: loss can plateau for a while and then start falling again, so a short flat stretch is not proof of convergence.

Converged doesn’t mean good. A model can converge to a poor solution (underfitting) or settle while memorizing the training data, which is why the validation loss is checked alongside the training loss (overfitting). Large language models are often stopped on a compute budget long before their loss fully levels off, and scaling laws are used to predict where the curve is heading. The ordinary-English word “convergence” is common, so this entry only autolinks training-specific phrases.

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