Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Leon Zhang"'
Autor:
Klaus Neumaier, Vaclav Valenta, Jonathan Chu, Yunpeng Xiao, Stan Benczkowski, Bob Marquis, Sameer Yadav, Jonathan Harper, Ondrej Picha, Rajani Thirukoluri, Roveendra Paul, Leon Zhang, Levan Bidzishvili, Thierry Bordignon, James Victory
Publikováno v:
2023 IEEE Applied Power Electronics Conference and Exposition (APEC).
Publikováno v:
Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XX.
Publikováno v:
Journal of Symbolic Computation. 104:236-255
The group of units modulo constants of an affine variety over an algebraically closed field is free abelian of finite rank. Computing this group is difficult but of fundamental importance in tropical geometry, where it is necessary in order to realiz
Autor:
Leon Zhang
Publikováno v:
Discrete & Computational Geometry. 65:1314-1336
We describe an algorithm for computing the min-convex hull of a finite collection of points in the affine building of $$\hbox {SL}_d(K)$$ , for K a field with discrete valuation. These min-convex hulls describe the relations among a finite collection
Flag matroids are combinatorial abstractions of flags of linear subspaces, just as matroids are of linear subspaces. We introduce the flag Dressian as a tropical analogue of the partial flag variety, and prove a correspondence between: (a) points on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4e43eb86337db03a776e1049b55f299
The univariate Ehrhart and $h^*$-polynomials of lattice polytopes have been widely studied. We describe methods from toric geometry for computing multivariate versions of volume, Ehrhart and $h^*$-polynomials of lattice polytropes, which are both tro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00e35cb0c431255661e87a6aabebdd35
Publikováno v:
Bioinformatics (Oxford, England). 36(17)
Motivation Due to new technology for efficiently generating genome data, machine learning methods are urgently needed to analyze large sets of gene trees over the space of phylogenetic trees. However, the space of phylogenetic trees is not Euclidean,
Principal component analysis is a widely-used method for the dimensionality reduction of a given data set in a high-dimensional Euclidean space. Here we define and analyze two analogues of principal component analysis in the setting of tropical geome
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f05687e4b69319a004bfdce908366149
https://hdl.handle.net/10945/64569
https://hdl.handle.net/10945/64569