Infinite-dimensional operator ridgelet transform

1. Introduction🔗

We develop ridgelet analysis for neural networks with infinite-dimensional inputs. The construction connects explicit integral representations to finite-width approximation and uniform approximation on compact sets.

  1. 1.1. From function inputs to network coefficients
  2. 1.2. Main results
  3. 1.3. Related work
  4. 1.4. Notation and organization