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Guaranteed Sparse Recovery under Linear Transformation
Guaranteed Sparse Recovery Linear Transformation
2013/6/13
We consider the following signal recovery problem: given a measurement matrix $\Phi\in \mathbb{R}^{n\times p}$ and a noisy observation vector $c\in \mathbb{R}^{n}$ constructed from $c = \Phi\theta^* +...
Guaranteed Conservative Fixed Width Confidence Intervals Via Monte Carlo Sampling
Guaranteed Conservative Fixed Width Confidence Intervals Monte Carlo Sampling
2012/9/17
Monte Carlo methods are used to approximate the means,? of random variablesY, whose distributions are not known explicitly. The key idea is that the
average of a random sample,Y1,...,Yn, tends to 礱sn...
Explicit Formula for Constructing Binomial Confidence Interval with Guaranteed Coverage Probability
Confidence Interval Probability Statistics Normal Approximation
2010/4/30
In this paper, we derive an explicit formula for constructing the
confidence interval of binomial parameter with guaranteed coverage probability.
The formula overcomes the limitation of normal appro...
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
rank convex optimization matrix norms random matrices compressed sensing semidefinite program-ming
2010/4/29
The ane rank minimization problem consists of finding a matrix of minimum rank that
satisfies a given system of linear equality constraints. Such problems have appeared in the literature
of a divers...