Determinantal conditions for homomorphic sensing | |
Tsakiris, Manolis C.1,2 | |
刊名 | LINEAR ALGEBRA AND ITS APPLICATIONS |
2023 | |
卷号 | 656页码:210-223 |
关键词 | Homomorphic sensing Unlabeled sensing Linear regression without correspondences Jordan form Determinantal varieties Rational normal scrolls |
ISSN号 | 0024-3795 |
DOI | 10.1016/j.laa.2022.09.026 |
英文摘要 | 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. |
资助项目 | CAS Project for Young Scientists in Basic Research[YSBR-034] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE INC |
WOS记录号 | WOS:000871824100011 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60728] |
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. |
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