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Selector form of Weaver's conjecture and frame sparsification

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DRE - Discretization and recovery in high-dimensional spaces

In this talk we present an extension of a probabilistic result of Marcus, Spielman, and Srivastava, which resolved the Kadison-Singer problem, for block diagonal positive semidefinite random matrices. We use this result to show several selector results, which generalize their partition counterparts. This includes a selector form of Weaver’s KS_r conjecture for block diagonal trace class operators and a nearly tight discretization of bounded continuous Parseval frames, which extends a result of Freeman and Speegle. As an application we obtain an improvement of the result of Nitzan, Olevskii, and Ulanovskii by showing the existence of nearly tight exponential frames for unbounded sets with an explicit control on the frame redundancy.

This talk is part of the Isaac Newton Institute Seminar Series series.

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Online: please register Average on weekdays: 8910.80287474 kWh Lecture Theatre 1, Computer Laboratory, William Gates Building

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