Eigenspace conditions for homomorphic sensing
Manolis Tsakiris
Publication PlaceArXiv

Given two endomorphisms τ1,τ2 of ℂm, we provide eigenspace conditions under which τ1(v1)=τ2(v2) for v1,v2∈ can only be true if v1=v2, where  is a general n-dimensional subspace of ℂm for some n≤m/2. As a special case, we show that these eigenspace conditions are true when the endomorphisms are permutations composed with coordinate projections, leading to an abstract proof of the recent unlabeled sensing theorem of Unnikrishnan et al.

KeywordHomomorphic sensing unlabeled sensing shuffled linear regression Jordan form determinantal varieties rational normal scroll
Document Type科技报告
Collection信息科学与技术学院_PI研究组_Manolis Tsakiris组
AffiliationShanghaiTech University
First Author AffilicationShanghaiTech University
Recommended Citation
GB/T 7714
Manolis Tsakiris. Eigenspace conditions for homomorphic sensing[R]. ArXiv,2019.
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