Fourier ideas appear in AI whenever frequency information matters.
Examples include:
- audio processing, where signals are studied by frequency,
- image processing, where high and low frequencies correspond to edges, texture, and smooth regions,
- convolution, because Fourier transforms turn convolution into multiplication,
- spectral features for time-series models,
- positional encodings and Fourier features in some neural networks.
Not every neural network explicitly computes a Fourier transform, but the idea of decomposing a signal into frequency components is everywhere in modern data processing.
For images, a model may not say "Fourier" on the surface, but filters often learn low-frequency and high-frequency patterns. Fourier analysis gives a language for understanding those patterns.