Multiclass Semi-Supervised Learning on Graphs using Ginzburg-Landau Functional Minimization

We present a graph-based variational algorithm for classification of high-dimensional data, generalizing the binary diffuse interface model to the case of multiple classes. Motivated by total variation techniques, the method involves minimizing an energy functional made up of three terms. The first two terms promote a stepwise continuous classification function with sharp transitions between classes, while preserving symmetry among the class labels. The third term is a data fidelity term, allowing us to incorporate prior information into the model in a semi-supervised framework. The performance of the algorithm on synthetic data, as well as on the COIL and MNIST benchmark datasets, is competitive with state-of-the-art graph-based multiclass segmentation methods.Comment: 16 pages, to appear in Springer's Lecture Notes in Computer Science volume "Pattern Recognition Applications and Methods 2013", part of series on Advances in Intelligent and Soft Computin

Lessons from the aprotinin saga : current perspective on antifibrinolytic therapy in cardiac surgery

Antifibrinolytic agents have been prophylactically administered to patients undergoing cardiopulmonary bypass (CPB) to reduce postoperative bleeding due to plasmin-mediated coagulation disturbances. After the recent market withdrawal of aprotinin, a potent bovine-derived plasmin inhibitor, two lysine analogs, epsilon-aminocaproic acid and tranexamic acid are currently available for clinical use. Although the use of aprotinin recently raised major concerns about postoperative thrombosis and organ dysfunctions, there is a paucity of information on the potential complications related to lysine analogs. Using the available preclinical and clinical data, we present current perspectives on the hemostatic mechanism and potential harms of antifbirnolytic therapy related to cardiac surgery. Fibrin formation is the critical step for hemostasis at the site of vascular injury, and localized fibrinolytic activity counterbalances excess fibrin formation which might result in vascular occlusion. Inhibition of the endogenous fibrinolytic system may be associated with thrombotic complications in susceptible organs. It is thus important to understand CPB-related changes in endogenous fibrinolytic proteins (e.g., tissue plasminogen activator (tPA), plasminogen) and antifibrinolytic proteins (e.g., alpha(2)-antiplasmin)