Learn More
We describe efficient algorithms for projecting a vector onto the <i>l</i><sub>1</sub>-ball. We present two methods for projection. The first performs exact projection in <i>O(n)</i> expected time, where <i>n</i> is the dimension of the space. The second works on vectors <i>k</i> of whose elements are perturbed outside the <i>l</i><sub>1</sub>-ball,(More)
Bigtable is a distributed storage system for managing structured data that is designed to scale to a very large size: petabytes of data across thousands of commodity servers. Many projects at Google store data in Bigtable, including web indexing, Google Earth, and Google Finance. These applications place very different demands on Bigtable, both in terms of(More)
Generalized linear models with nonlinear feature transformations are widely used for large-scale regression and classification problems with sparse inputs. Memorization of feature interactions through a wide set of cross-product feature transformations are effective and interpretable, while generalization requires more feature engineering effort. With less(More)
Quantifiability is a concept in MapReduce Analytics based on the following two conditions: (a) a mapper should be cautious, that is, should not exclude any reducer&apos;s shuffle and sort strategy from consideration; and (b) a mapper should respect the reducers&apos; shuffle and sort preferences, that is, should deem a reducer&apos;s shuffle and sort(More)
Neuroimaging is indispensable for evaluation of Myelopathy not only for localization but also for etiologic determination. MRI is the preferred examination for further characterization of the majority of these conditions. These include traumatic, inflammatory, infections, compressive and neoplastic conditions. This article provides an overview of a variety(More)
Bronchogenic cysts are congenital foregut malformations thought to develop due to abnormal budding of tracheal diverticulumand proximal bronchial structures during embryologic development. The cyst is lined by ciliated pseudostratified columnar epithelium and the wall contains cartilage and layers of smooth muscle. These lesions most commonly are seen in(More)
Magnetic resonance (MR) angiography is a powerful tool for the evaluation of cervical and intracranial vasculature. Both noncontrast and contrast-enhanced MR angiography can provide exquisite vascular contrast and detail without the use of ionizing radiation. More advanced techniques such as time-resolved MR angiography and parallel imaging provide dynamic(More)
INTRODUCTION Twin pregnancy with hydatidiform mole and coexistent live fetus is a rare condition with severe maternal and fetal complications such as preeclampsia, vaginal bleeding, persistent gestational trophoblastic tumor, and fetal death. CASE PRESENTATION We report a case of a twin pregnancy with histopathologically proven hydatidiform mole and a(More)