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Fano schemes of generic intersections and machine learning

Paul Larsen

Risk Analytics and Living Wills, Deutsche Bank, 10623 Berlin, Germany

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and

Franz Király

Department of Statistical Science, University College London, London WC1E 6BT, UK

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https://doi.org/10.1142/S0218196714500398Cited by:4 (Source: Crossref)

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.

Keywords:

AMSC: 14C05, 14M10, 14M15, 60G35, 62M10, 62M86

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