In this paper we investigate the optimal supply function for a generator who sells electricity into a wholesale electricity spot market and whose profit function is not smooth. In previous work in this area, the generator’s profit function has usually been assumed to be continuously differentiable. However in some interesting instances, this assumption is not satisfied. These include the case w...

A prediction rule in binary classification that aims to achieve the lowest probability of misclassification involves minimizing over a nonconvex, 0-1 loss function, which is typically a computationally intractable optimization problem. To address the intractability, previous methods consider minimizing the cumulative loss – the sum of convex surrogates of the 0-1 loss of each sample. We revisit...

In this paper, we introduce a bilinear composition loss function to address the problem of image dehazing. Previous methods in image dehazing use a two-stage approach which first estimate the transmission map followed by clear image estimation. The drawback of a two-stage method is that it tends to boost local image artifacts such as noise, aliasing and blocking. This is especially the case for...

Background: The gene expression profile of a tissue averages the expression profiles of all cells in this tissue. Digital tissue deconvolution (DTD) addresses the following inverse problem: Given the expression profile y of a tissue, what is the cellular composition c of that tissue? If X is a matrix whose columns are reference profiles of individual cell types, the composition c can be compute...

The earliest precursor cell or stem cell that populates the immunohemopoiet ic system in mammals must have a high proliferative potential. Stem cells can be transplanted by intravenous injections of single cell suspensions and can repopulate stem cell-depleted recipients (1, 2). Therefore, stem cells have been used to test the hypothesis that mammal ian aging is genetically programmed to cause ...

Endothelial dysfunction, a pathologic feature of obesity, predicts the occurrence of cardiovascular disease (1,2), and is felt to mediate the increased cardiovascular risk associated with a number of classical and nonclassical risk factors. However, the pathogenesis of endothelial dysfunction in obesity remains uncertain. In this field, the major questions center on the relative roles of insuli...

We introduce penalty-function-based admission control policies to approximately maximize the expected reward rate in a loss network. These control policies are easy to implement and perform well both in the transient period as well as in steady state. A major advantage of the penalty approach is that it avoids solving the associated dynamic program. However, a disadvantage of this approach is t...

This paper presents a new loss function for neural network classification, inspired by the recently proposed similarity measure called Correntropy. We show that this function essentially behaves like the conventional square loss for samples that are well within the decision boundary and have small errors, and L0 or counting norm for samples that are outliers or are difficult to classify. Depend...