# Fano schemes of generic intersections and machine learning

arXiv: https://arxiv.org/abs/1301.3078 · HTML: https://mlsanity.com/paper/1301.3078/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 14 Jan 2013.

## Built on by (most cited first, 1 of 1)

- [Abstract Visual Reasoning: An Algebraic Approach for Solving Raven's Progressive Matrices](https://mlsanity.com/paper/2303.11730/) (2023)

## Abstract (arXiv)

We investigate Fano schemes of conditionally generic intersections, i.e. of hypersurfaces in projective space chosen generically up to additional conditions. Via a correspondence between generic properties of algebraic varieties and events in probability spaces that occur with probability one, we use the obtained results on Fano schemes to solve a problem in machine learning.