In two-group discriminant analysis, the Neyman-Pearson Lemma establishes that the ROC curve for an arbitrary linear function is everywhere below the ROC curve for the true likelihood ratio. The weighted area between these two curves can be used as a risk function for finding good discriminant functions. The weight function corresponds to the objective of the analysis, for example to minimize th...

The paper presents a support vector method for estimating probabilities in a real world problem: the prediction of probability of survival in critically ill patients. The standard procedure with Support Vectors Machines uses Platt’s method to fit a sigmoid that transforms continuous outputs into probabilities. The method proposed here exploits the difference between maximizing the AUC and minim...

tehran, iran’s capital with a population of more than 10 million is located in the southern foothills of the alborz collision zone. the alborz mountain belt of northern iran results from the collision of a piece of the gondwana with eurasia in the late triassic (sengor et al., 1988). the alborz active mountain range which consists of several sedimentary and volcanic layers, with east-west trend...

a r t i c l e i n f o a b s t r a c t Keywords: lithosphere–asthenosphere boundary Northeastern margin of the Tibetan Plateau Receiver functions Whether or not the Asian lithosphere has underthrusted beneath the Tibetan Plateau is important for understanding the mechanisms of the plateau's growth. Using data from the permanent seismic stations in northeastern Tibetan Plateau, we studied seismic...

S–P travel-time residuals and receiver-function images are used to infer the Vp/Vs (compressional to shear wave velocity) ratio of the lithospheric mantle beneath southern African and the topography of the underlying 410-km discontinuity. Low Vp/Vs ratios provide evidence independent of geochemical observations for a highly depleted root (Mg#f92–94) beneath the Kaapvaal craton. The receiver-fun...