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pro vyhledávání: '"R. Amzi Jeffs"'
Autor:
R. Amzi Jeffs
Publikováno v:
The Electronic Journal of Combinatorics. 30
The augmented Bergman complex of a closure operator on a finite set interpolates between the order complex of proper flats and the independence complex of the operator. In 2020, Braden, Huh, Matherne, Proudfoot, and Wang showed that augmented Bergman
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f4dce919725aa988ae80791aeda68e5
https://doi.org/10.37236/11192
https://doi.org/10.37236/11192
Autor:
R. Amzi Jeffs
Publikováno v:
SIAM Journal on Applied Algebra and Geometry. 6:77-78
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a504fced116d4849751ff42c2d07584
https://doi.org/10.1137/21m1450690
https://doi.org/10.1137/21m1450690
Publikováno v:
Involve 12, no. 5 (2019), 737-754
Determining how the brain stores information is one of the most pressing problems in neuroscience. In many instances, the collection of stimuli for a given neuron can be modeled by a convex set in $\mathbb{R}^d$. Combinatorial objects known as \emph{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::579113b12e762bbbd6769e613cccf014
https://doi.org/10.2140/involve.2019.12.737
https://doi.org/10.2140/involve.2019.12.737
Publikováno v:
Journal of Pure and Applied Algebra. 222:3470-3482
The neural ideal of a binary code C ⊆ F 2 n is an ideal in F 2 [ x 1 , … , x n ] closely related to the vanishing ideal of C . The neural ideal, first introduced by Curto et al., provides an algebraic way to extract geometric properties of realiz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::415fbdff36d84f2acbd128e7b802dabe
https://doi.org/10.1016/j.jpaa.2017.12.018
https://doi.org/10.1016/j.jpaa.2017.12.018
Neural codes are lists of subsets of neurons that fire together. Of particular interest are neurons called place cells, which fire when an animal is in specific, usually convex regions in space. A fundamental question, therefore, is to determine whic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::539466e1c3bf35a4550c466e6a1a7309
Autor:
Isabella Novik, R. Amzi Jeffs
We introduce and investigate $d$-convex union representable complexes: the simplicial complexes that arise as the nerve of a finite collection of convex open sets in ${\mathbb{R}}^d$ whose union is also convex. Chen, Frick, and Shiu recently proved t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4634fb395ec6e27f22a334323bf8bb0f
http://arxiv.org/abs/1808.03992
http://arxiv.org/abs/1808.03992
Autor:
R. Amzi Jeffs
Publikováno v:
Advances in Applied Mathematics. 111:101935
A sunflower is a collection of sets { U 1 , … , U n } such that the pairwise intersection U i ∩ U j is the same for all choices of distinct i and j. We study sunflowers of convex open sets in R d , and provide a Helly-type theorem describing a ce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56f63565f2941bc1f62cba0a16fc415f
https://doi.org/10.1016/j.aam.2019.101935
https://doi.org/10.1016/j.aam.2019.101935
Autor:
Mike Rosulek, R. Amzi Jeffs
Publikováno v:
Theory of Cryptography ISBN: 9783642365935
TCC
TCC
In secure multi-party computation, a reactive functionality is one which maintains persistent state, takes inputs, and gives outputs over many rounds of interaction with its parties. Reactive functionalities are fundamental and model many interesting
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4ddf24a67dc3b70d8ea68ac81735025
https://doi.org/10.1007/978-3-642-36594-2_15
https://doi.org/10.1007/978-3-642-36594-2_15
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