Jargonautica
The Foundations

Interpolation and Extrapolation

Filling in between examples you have seen, versus reaching beyond them. Models are much better at the first than the second. Ask about a situation that sits comfortably inside the range of the training data and you generally get something sensible; ask about one outside it and confidence stays high while reliability quietly collapses.

Technical view

In high dimensions the distinction is subtler than it sounds, since almost every new point is technically outside the convex hull of the training set, which has led some to argue the framing is misleading for deep learning. The practical version stands regardless: performance degrades with distance from the training distribution, degradation is not signalled by the model’s own confidence, and out-of-distribution detection is a separate and unsolved problem.


Part of AI Terminology Index, section: The Foundations.

How it connects

Interpolation and Extrapolation links to 4 other terms. The faint lines are links between those terms. See it in the full graph.

GeneralisationGeneralisationDriftDriftCurse of DimensionalityCurse of Dimensiona…Robustness TestingRobustness TestingInterpolation and Extrapolation