Neural Networks as Linear Regression: An Introduction for Statisticians

arXiv:2606.23601 · stat.ML, cs.LG · Submitted 2026-06-22 · Read on arXiv

Abigail Loe, Susan Murray, Zhenke Wu

stat.ML, cs.LG

Submitted: 2026-06-22

License: http://creativecommons.org/licenses/by/4.0/

The gist: Neural networks are a commonly used prediction tool in computer science and statistics.

Terminology

Abstract

Neural networks are a commonly used prediction tool in computer science and statistics. However, the barrier to entry of this interesting field remains high, particularly for classical statisticians trained in a frequentist perspective. In this letter, we demystify neural networks by describing networks that approximate a linear regression and describe common customizations that provide a foundation for further study.

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