0

Basic knowledge of topology How it relates to ai Does ai need to understand or integrate topology Can ai provide useful answers to hard topological problems

Raphael Pallais
  • 1
  • 1

2 Answers2

1

This is not be a full answer to your question, but a good start I believe. Take a look at TDA (Topological Data Analysis) and how is topology used in nlp.

Mostafa Eid
  • 11
  • 1
0

YES

Cybenko's 1989 universal approximation theorem, loosely speaking, says that any "decent" function can be approximated as close as desired, using a neural network. This is part of why neural networks are so popular in many AI applications, because there is a theoretical argument for why they can fit complex relationships.

One of the technical conditions about what constitutes a "decent" function relates to the topology, chiefly set compactness.

Dave
  • 868
  • 4
  • 9