Fano schemes of generic intersections and machine learning

2013/01/14 by Franz J. Király, Király, Franz, Paul L. Larsen +1
Computer Science · Engineering · Mathematics · #14J40 #14J70 #14M15 #62M10 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Commutative Algebra and Its Applications #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1301.3078

openalex publication_date 2013/01/14 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

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.

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