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Information-Theoretic Bounds for Sparse Covariance Estimation in the Vertical-Split Distributed Model

Announce Type: new Abstract: We study the minimax estimation error for distributed covariance matrix estimation in the vertical-split (feature-split) setting, where two agents each observe different coordinates of $m$ i.i.d. and communicate a limited number of bits to a central server. [2025] established nearly tight bounds for dense (unstructured) cross-covariance matrices, we investigate whether imposing elementwise $s$-sparsity on the cross-covariance $C_{21}$ can reduce the required...

arXiv CS 2d ago

Taliban and Russia cozy up to each other — why?

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Doctors thought this kidney drug helped some patients. It may help millions more.

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Jury awards $176m to family of boys killed by LA socialite as she raced ex-baseball star boyfriend

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The Independent World 6d ago

Taliban, Russia are cozying up to each other — why?

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Deutsche Welle 7d ago