Geodesic
Random restrictions of high-rank tensors and polynomial maps
Discrete analysis (2024) Cet article a éte moissonné depuis la source Scholastica

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Motivated by a problem in computational complexity, we consider the behavior of rank functions for tensors and polynomial maps under random coordinate restrictions. We show that, for a broad class of rank functions called natural rank functions, random coordinate restriction to a dense set will typically reduce the rank by at most a constant factor.
Publié le : 
@article{DAS_2024_a12,
     author = {Jop Bri\"et and Davi Castro-Silva},
     title = {Random restrictions of high-rank tensors and polynomial maps},
     journal = {Discrete analysis},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DAS_2024_a12/}
}
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AU  - Jop Briët
AU  - Davi Castro-Silva
TI  - Random restrictions of high-rank tensors and polynomial maps
JO  - Discrete analysis
PY  - 2024
UR  - http://geodesic.mathdoc.fr/item/DAS_2024_a12/
LA  - en
ID  - DAS_2024_a12
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%0 Journal Article
%A Jop Briët
%A Davi Castro-Silva
%T Random restrictions of high-rank tensors and polynomial maps
%J Discrete analysis
%D 2024
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%F DAS_2024_a12
Jop Briët; Davi Castro-Silva. Random restrictions of high-rank tensors and polynomial maps. Discrete analysis (2024). http://geodesic.mathdoc.fr/item/DAS_2024_a12/