Almost Everywhere Matrix Recovery
نویسندگان
چکیده
Matrix recovery is raised in many areas. In this paper, we build up a framework for almost everywhere matrix recovery which means to recover almost all the P ∈ M ⊂ F from Tr(AjP ), j = 1, . . . , N where Aj ∈ Vj ⊂ F. We mainly focus on the following question: how many measurements are needed to recover almost all the matrices in M? For the case where both M and Vj are algebraic varieties, we use the tools from algebraic geometry to study the question and present some results to address it under many different settings.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1707.09112 شماره
صفحات -
تاریخ انتشار 2017