2013/01/14 by Franz J. Király, Franz Király, Király, Franz +3
Computer Science · Engineering · Mathematics · #14J40 #14J70 #14M15 #62M10 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic number #Commutative Algebra and Its Applications #Computer science #Discrete mathematics #FOS: Computer and information sciences #FOS: Mathematics #Fano plane #Machine Learning (stat.ML) #Mathematical analysis #Mathematics #Polynomial and algebraic computation #Projective space #Projective test #Pure mathematics #Space (punctuation) #math.AG #msc:14J40 #msc:14J70 #msc:14M15 #msc:62M10 #stat.ML
paper · pdf · doi:10.48550/arxiv.1301.3078
published in arXiv (Cornell University) (Cornell University) · 9 pages, comments very welcome!
arxiv created 2013/01/14 · openalex publication_date 2013/01/14 · arxiv updated 2013/01/15 · openalex created_date 2022/10/03 · openalex updated_date 2026/08/04
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.