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A practical dictionary of 512 AI, machine learning, mathematics, and programming terms from HerbDev’s AI Vocabulary app. Start with a definition, explore an example, then follow the concepts behind it.

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Convex Function

Mathematics · Level 2 of 5

Convex Function

A function whose value on a segment does not exceed the segment's linear interpolation of endpoint values.

For convex objectives on convex domains, any local minimum is global.

Example

A bowl-shaped squared-error objective has no worse isolated local minimum.

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Audio transcript

Convex Function. A function whose value on a segment does not exceed the segment's linear interpolation of endpoint values. For convex objectives on convex domains, any local minimum is global. For example: A bowl-shaped squared-error objective has no worse isolated local minimum.

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