1. Holomorphic feedforward networks
- Author
-
Douglas, Michael R.
- Subjects
High Energy Physics - Theory ,High Energy Physics - Theory (hep-th) ,Mathematics - Complex Variables ,General Mathematics ,FOS: Mathematics ,FOS: Physical sciences ,32Q25 ,Numerical Analysis (math.NA) ,Mathematics - Numerical Analysis ,Complex Variables (math.CV) - Abstract
A very popular model in machine learning is the feedforward neural network (FFN). The FFN can approximate general functions and mitigate the curse of dimensionality. Here we introduce FFNs which represent sections of holomorphic line bundles on complex manifolds, and ask some questions about their approximating power. We also explain formal similarities between the standard approach to supervised learning and the problem of finding numerical Ricci flat K\"ahler metrics, which allow carrying some ideas between the two problems., Comment: 13 pages, version to appear in PAMQ
- Published
- 2022