What is a convex cost function?

Updated May 15, 2026

Short answer

A convex cost function has a single global minimum.

Deep explanation

Convex functions ensure optimization algorithms converge reliably without getting stuck in local minima.

Real-world example

Linear regression uses convex cost functions.

Common mistakes

  • Assuming all ML models have convex loss.

Follow-up questions

  • Why is convexity important?
  • Are neural networks convex?

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