Determinantal conditions for homomorphic sensing
文献类型：期刊论文
| 作者 | Tsakiris, Manolis C.1,2 |
| 刊名 | LINEAR ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000871824100011 |
| 出版者 | ELSEVIER SCIENCE INC |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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