A Modern Analysis of Hutchinson's Trace Estimator

December 23, 2020 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Maciej Skorski arXiv ID 2012.12895 Category math.ST Cross-listed cs.LG, stat.AP Citations 16 Venue arXiv.org Last Checked 2 months ago
Abstract
The paper establishes the new state-of-art in the accuracy analysis of Hutchinson's trace estimator. Leveraging tools that have not been previously used in this context, particularly hypercontractive inequalities and concentration properties of sub-gamma distributions, we offer an elegant and modular analysis, as well as numerically superior bounds. Besides these improvements, this work aims to better popularize the aforementioned techniques within the CS community.
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