Tensors of nonnegative rank two
Tensors of nonnegative rank two
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DOI：
10.1016/j.laa.2013.10.046
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发表时间：
2015-05-15
影响因子：
1.1
通讯作者：
Zwiernik, Piotr
中科院分区：
文献类型：
--
作者：
Allman, Elizabeth S.;Rhodes, John A.;Zwiernik, Piotr
一个非负张量的非负秩至多为2当且仅当它是超模的，且平坦秩至多为2。我们证明了这一结果，然后探讨一般马尔可夫模型的系统发育树与二进制状态的半代数几何，并评论可能的扩展到更高的秩张量。(C)2013 Elsevier Inc. All rights reserved.
A nonnegative tensor has nonnegative rank at most 2 if and only if it is supermodular and has flattening rank at most 2. We prove this result, then explore the semialgebraic geometry of the general Markov model on phylogenetic trees with binary states, and comment on possible extensions to tensors of higher rank. (C) 2013 Elsevier Inc. All rights reserved.