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On U-Statistics and Compressed Sensing I: Non-Asymptotic Average-Case Analysis

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Publication:4578530
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DOI10.1109/TSP.2013.2247598zbMath1393.94335arXiv1210.8116MaRDI QIDQ4578530

Fabian Lim, Vladimir Stojanovic

Publication date: 22 August 2018

Published in: IEEE Transactions on Signal Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.8116



Mathematics Subject Classification ID

Ridge regression; shrinkage estimators (Lasso) (62J07) Image analysis in multivariate analysis (62H35) Random matrices (probabilistic aspects) (60B20) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Large deviations (60F10)


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On the variable bandwidth kernel estimation of conditional \(U\)-statistics at optimal rates in sup-norm ⋮ Weak convergence of the conditional U-statistics for locally stationary functional time series







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