Determinantal conditions for homomorphic sensing

doi:10.1016/j.laa.2022.09.026

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	Determinantal conditions for homomorphic sensing
	Tsakiris, Manolis C.1,2
	2023
发表期刊	LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN	0024-3795
卷号	656 页码:210-223
摘要	With k an infinite field and 71, 72 endomorphisms of km, we provide a dimension bound on an open locus of a determinantal scheme, under which, for a general subspace V subset of km of dimension n <= m/2, for v1, v2 is an element of V we have 71(v1) = 72(v2) only if v1 = v2. Specializing to permutations composed by coordinate projections, we obtain an abstract proof of the theorem of [10]. (c) 2022 Elsevier Inc. All rights reserved.
关键词	Homomorphic sensing Unlabeled sensing Linear regression without correspondences Jordan form Determinantal varieties Rational normal scrolls
DOI	10.1016/j.laa.2022.09.026
收录类别	SCI
语种	英语
资助项目	CAS Project for Young Scientists in Basic Research[YSBR-034]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000871824100011
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60729
专题	中国科学院数学与系统科学研究院
通讯作者	Tsakiris, Manolis C.
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mech, Beijing 100190, Peoples R China 2.Univ Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy
推荐引用方式 GB/T 7714	Tsakiris, Manolis C.. Determinantal conditions for homomorphic sensing[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2023,656:210-223.
APA	Tsakiris, Manolis C..(2023).Determinantal conditions for homomorphic sensing.LINEAR ALGEBRA AND ITS APPLICATIONS,656,210-223.
MLA	Tsakiris, Manolis C.."Determinantal conditions for homomorphic sensing".LINEAR ALGEBRA AND ITS APPLICATIONS 656(2023):210-223.