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Sparse approximation property and stable recovery of sparse signals from noisy measurements
Sparse approximation property noisy measurements Information Theory
2011/9/21
Abstract: In this paper, we introduce a sparse approximation property of order $s$ for a measurement matrix ${\bf A}$: $$\|{\bf x}_s\|_2\le D \|{\bf A}{\bf x}\|_2+ \beta \frac{\sigma_s({\bf x})}{\sqrt...
Non-adaptive probabilistic group testing with noisy measurements: Near-optimal bounds with efficient algorithms
Non-adaptive probabilistic group noisy measurements Near-optimal bounds efficient algorithms
2011/9/19
Abstract: We consider the problem of detecting a small subset of defective items from a large set via non-adaptive "random pooling" group tests. We consider both the case when the measurements are noi...
Collective fluctuations in networks of noisy components
Collective fluctuations noisy components networks
2010/4/8
Collective dynamics result from interactions among noisy dynamical components. Examples include heartbeats, circadian rhythms, and various pattern formations. Because of noise in each component, colle...