Why does sample complexity increase in high dimensions?

Updated May 15, 2026

Short answer

More data is needed to cover expanded feature space.

Deep explanation

To maintain statistical reliability, sample size must grow exponentially with dimensions.

Real-world example

Training deep learning models with limited datasets.

Common mistakes

  • Assuming linear data growth is enough.

Follow-up questions

  • What is PAC learning?
  • How to reduce need for data?

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