A new moment-based recovery formulation is introduced for measures with atomic and continuous components on compact support satisfying a separation criterion, with theoretical guarantees in three cases and new algorithms benchmarked.
Assume that we are given a sequence of moment matrices {Mn(y)}n generated by a measureµsatisfying Assumption 3.2, withµ ac ̸= 0
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On Moment-Based Recovery of Measures with Atomic and Continuous Parts
A new moment-based recovery formulation is introduced for measures with atomic and continuous components on compact support satisfying a separation criterion, with theoretical guarantees in three cases and new algorithms benchmarked.