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We measure media bias by estimating ideological scores for several major media outlets. To compute this, we count the times that a particular media outlet cites various think tanks and policy groups, then compare this with the times that members of Congress cite the same groups. Our results show a strong liberal bias: all of the news outlets we examine,(More)
Consider an m×N matrix Φ with the Restricted Isometry Property of order k and level δ, that is, the norm of any k-sparse vector in R N is preserved to within a multiplicative factor of 1±δ under application of Φ. We show that by randomizing the column signs of such a matrix Φ, the resulting map with high probability embeds any fixed set of p = O(e k) points(More)
This article presents near-optimal guarantees for accurate and robust image recovery from under-sampled noisy measurements using total variation minimization, and our results may be the first of this kind. In particular, we show that from O(s log(N)) nonadaptive linear measurements, an image can be reconstructed to within the best s-term approximation of(More)
We report that spatial cueing of a parafoveal target in the presence of distractors enhances orientational acuity for that target. When no distractors were present, orientation thresholds were in the range 1-4 degrees. For long exposure times, distractors increased threshold by the amount predicted from a winner-takes-all spatial uncertainty model. For(More)
We present and analyze an efficient implementation of an iteratively reweighted least squares algorithm for recovering a matrix from a small number of linear measurements. The algorithm is designed for the simultaneous promotion of both a minimal nuclear norm and an approximatively low-rank solution. Under the assumption that the linear measurements fulfill(More)
BACKGROUND Some patients with chronic obstructive pulmonary disease (COPD) respond to corticosteroid therapy. Whether these patients have different airway pathology from other COPD patients is unclear. We tested the hypothesis that response to prednisolone is related to the presence of eosinophilic airway inflammation. METHODS We did a randomised,(More)
Matrix completion concerns the recovery of a low-rank matrix from a subset of its revealed entries, and nuclear norm minimization has emerged as an effective surrogate for this com-binatorial problem. Here, we show that nuclear norm minimization can recover an arbitrary n ⇥ n matrix of rank r from O(nr log 2 (n)) revealed entries, provided that revealed(More)
In many signal processing applications, one wishes to acquire images that are sparse in transform domains such as spatial finite differences or wavelets using frequency domain samples. For such applications, overwhelming empirical evidence suggests that superior image reconstruction can be obtained through variable density sampling strategies that(More)