块项张量分解的部分唯一性和通有唯一性
On partial and generic uniqueness of block term tensor decompositions
摘要：
给出了多线性秩（1，L_{1}，L_{1}），.的张量分解的通有唯一性的几个条件（1、L_{R}、L_{R}）术语。用几何语言证明了相关子空间簇的并不是切向弱亏损的。我们还通过证明相关子空间簇的连接不是亏损的，给出了块项张量分解的部分唯一性的条件。
英文摘要：
We present several conditions for generic uniqueness of tensor decompositions of multilinear rank (1,L_{1}, L_{1}),..., (1, L_{R}, L_{R}) terms. In geometric language, we prove that the joins of relevant subspace varieties are not tangentially weakly defective. We also give conditions for partial uniqueness of block term tensor decompositions by proving that the joins of relevant subspace varieties are not defective.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
