Paper ID: 2308.14093

The inverse problem for neural networks

Marcelo Forets, Christian Schilling

We study the problem of computing the preimage of a set under a neural network with piecewise-affine activation functions. We recall an old result that the preimage of a polyhedral set is again a union of polyhedral sets and can be effectively computed. We show several applications of computing the preimage for analysis and interpretability of neural networks.

Submitted: Aug 27, 2023