Detecting a vector based on linear measurements
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Publication:1950828
DOI10.1214/12-EJS686zbMath1274.62378arXiv1112.6235MaRDI QIDQ1950828
Publication date: 28 May 2013
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.6235
signal detectionhigh-dimensional datasparsitycompressed sensingadaptive measurementsnormal mean model
Nonparametric hypothesis testing (62G10) Nonparametric robustness (62G35) Hypothesis testing in multivariate analysis (62H15) Minimax procedures in statistical decision theory (62C20)
Cites Work
- Global testing under sparse alternatives: ANOVA, multiple comparisons and the higher criticism
- Nonparametric goodness-of-fit testing under Gaussian models
- Minimax detection of a signal for \(l^ n\)-balls.
- Higher criticism for detecting sparse heterogeneous mixtures.
- Detection boundary in sparse regression
- On the Fundamental Limits of Adaptive Sensing
- Near-Optimal Detection of Geometric Objects by Fast Multiscale Methods
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
- Introduction to nonparametric estimation
- Compressed sensing
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