Platt's probabilistic outputs for Support Vector Machines (Platt, J. in Smola, A., et al. (eds.) Advances in large margin classifiers. Cambridge, 2000) has been popular for applications that require posterior class probabilities. In this note, we propose an improved algorithm that theoretically converges and avoids numerical difficulties. A simple and readyto-use pseudo code is included.
OBJECTIVE
Prevention of paraplegia following repair of thoracoabdominal aortic aneurysms (TAAA) requires understanding the anatomy and physiology of the blood supply to the spinal cord. Recent laboratory studies and clinical observations suggest that a robust collateral network must exist to explain preservation of spinal cord perfusion when segmental vessels are interrupted. An anatomical study was undertaken.
METHODS
Twelve juvenile Yorkshire pigs underwent aortic cannulation and infusion of a low-viscosity acrylic resin at physiological pressures. After curing of the resin and digestion of all organic tissue, the anatomy of the blood supply to the spinal cord was studied grossly and using light and electron microscopy.
RESULTS
All vascular structures ≥ 8μm in diameter were preserved. Thoracic and lumbar segmental arteries (SAs) give rise not only to the anterior spinal artery (ASA), but to an extensive paraspinous network feeding the erector spinae, iliopsoas, and associated muscles. The ASA, mean diameter 134±20 μm, is connected at multiple points to repetitive circular epidural arteries with mean diameters of 150±26 μm. The capacity of the paraspinous muscular network is 25-fold the capacity of the circular epidural arterial network and ASA combined. Extensive arterial collateralization is apparent between the intraspinal and paraspinous networks, and within each network. Only 75% of all SAs provide direct ASA-supplying branches.
CONCLUSIONS
The ASA is only one component of an extensive paraspinous and intraspinal collateral vascular network. This network provides an anatomic explanation of the physiological resiliency of spinal cord perfusion when SAs are sacrificed during TAAA repair.
We consider a hypercube view to perceive the label space of multi-label classification problems geometrically. The view allows us to not only unify many existing multilabel classification approaches, but also design a novel algorithm, Principal Label Space Transformation (PLST), which captures key correlations between labels before learning. The simple and efficient PLST relies on only the singular value decomposition as the key step. We derive the theoretical guarantee of PLST and evaluate its empirical performance using real-world data sets. Experimental results demonstrate that PLST is faster than the traditional binary relevance approach and is superior to the modern compressive sensing approach in terms of both accuracy and efficiency.
First, early treatment with low-dose hydrocortisone in this population of extremely low birth weight infants increased the likelihood of survival without CLD. Second, the benefit was particularly apparent in infants with chorioamnionitis. Third, a larger multicenter trial is needed to verify the primary outcome and to better evaluate risks and benefits.
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