On the Expected Value of the Determinant of Random Sum of Rank-One Matrices

Kasra Khosoussi

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arXiv · 1702.08247

On the Expected Value of the Determinant of Random Sum of Rank-One Matrices

Kasra Khosoussi

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Abstract

We present a simple, yet useful result about the expected value of the determinant of random sum of rank-one matrices. Computing such expectations in general may involve a sum over exponentially many terms. Nevertheless, we show that an interesting and useful class of such expectations that arise in, e.g., D-optimal estimation and random graphs can be computed efficiently via computing a single determinant.

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Kasra Khosoussi. 2017-02-27. On the Expected Value of the Determinant of Random Sum of Rank-One Matrices. https://arxiv.org/abs/1702.08247

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