Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Zvi Rosen"'
Publikováno v:
Combinatorial Theory. 3
A combinatorial neural code $\mathscr C\subseteq 2^{[n]}$ is convex if it arises as the intersection pattern of convex open subsets of $\mathbb R^d$. We relate the emerging theory of convex neural codes to the established theory of oriented matroids,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a717afc1014c2cc42c6210526a39635b
https://doi.org/10.5070/c63160427
https://doi.org/10.5070/c63160427
Publikováno v:
Vietnam Journal of Mathematics. 50:523-544
We study the univariate moment problem of piecewise-constant density functions on the interval $[0,1]$ and its consequences for an inference problem in population genetics. We show that, up to closure, any collection of $n$ moments is achieved by a s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a07f03f61f7b703ed897c67c3a5a9b8
https://doi.org/10.1007/s10013-022-00548-5
https://doi.org/10.1007/s10013-022-00548-5
Publikováno v:
Journal of Algebraic Combinatorics. 56:1-3
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c05debe4851f2bef66f5ec9e5930cd2d
https://doi.org/10.1007/s10801-022-01148-9
https://doi.org/10.1007/s10801-022-01148-9
Publikováno v:
The American Mathematical Monthly. 127:199-216
In recent years, various notions of algebraic independence have emerged as a central and unifying theme in a number of areas of applied mathematics, including algebraic statistics and the rigidity theory of bar-and-joint frameworks. In each of these
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7adfb6246f793c2426b4680443e0938
https://doi.org/10.1080/00029890.2020.1689781
https://doi.org/10.1080/00029890.2020.1689781
This proceedings volume convenes selected, revised papers presented at the 52nd Southeastern International Conference on Combinatorics, Graph Theory and Computing (SEICCGTC 2021), virtually held at Florida Atlantic University in Boca Raton, USA, on M
Publikováno v:
Topological Data Analysis ISBN: 9783030434076
Hyperplane codes are a class of convex codes that arise as the output of a one layer feed-forward neural network. Here we establish several natural properties of stable hyperplane codes in terms of the polar complex of the code, a simplicial complex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d03898e648f2ce4ad56573ef6109e21f
https://doi.org/10.1007/978-3-030-43408-3_13
https://doi.org/10.1007/978-3-030-43408-3_13
Publikováno v:
Journal of Mathematical Physics. 62:112901
We consider the critical points (equilibria) of a planar potential generated by $n$ Newtonian point masses augmented with a quadratic term (such as arises from a centrifugal effect). Particular cases of this problem have been considered previously in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fef29c5a6e47e68a58be6a351e6b2292
https://doi.org/10.1063/5.0060237
https://doi.org/10.1063/5.0060237
Autor:
Nora Youngs, Anne Shiu, Mohamed Omar, Zvi Rosen, Elizabeth Gross, Katherine Morrison, Jack Jeffries, Carina Curto
Publikováno v:
SIAM Journal on Applied Algebra and Geometry. 1:222-238
Neural codes allow the brain to represent, process, and store information about the world. Combinatorial codes, comprised of binary patterns of neural activity, encode information via the collective behavior of populations of neurons. A code is calle
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::260671adbb3d601760d72219cf5d19d2
https://doi.org/10.1137/16m1073170
https://doi.org/10.1137/16m1073170
Autor:
Nora Youngs, Zvi Rosen, Katherine Morrison, Elizabeth Gross, Anne Shiu, Jack Jeffries, Carina Curto
Publikováno v:
J Pure Appl Algebra
A convex code is a binary code generated by the pattern of intersections of a collection of open convex sets in some Euclidean space. Convex codes are relevant to neuroscience as they arise from the activity of neurons that have convex receptive fiel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4604a06482639d69e103b35424e355ab
The geometry of the set of restrictions of rank-one tensors to some of their coordinates is studied. This gives insight into the problem of rank-one completion of partial tensors. Particular emphasis is put on the semialgebraic nature of the problem,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5cfcb0dd3175e589e25a44357009e13e