We present a new type of probabilistic model which we call DISsimilarity COefficient Networks (DISCO Nets). DISCO Nets allow us to efficiently sample from a posterior distribution parametrised by a neural network. During training, DISCO Nets are learned by minimising the dissimilarity coefficient between the true distribution and the estimated distribution. This allows us to tailor the training...

This article is concerned with the Euler’s function [10] that plays an important role in cryptograms. In the first section, we present some selected theorems on integers. Next, we define the Euler’s function. Finally, three theorems relating to the Euler’s function are proved. The third theorem concerns two relatively prime integers which make up the Euler’s function parameter. In the public ke...

This paper addresses the problem of assigning shares of a new total fixed output to a group of decision making units (DMUs) using data envelopment analysis (DEA), by assuming the existence of a predefined hyperbolic locus of points that characterizes the DEA frontier. The problem of redistributing an already existing output is then addressed, where the total value of this output may vary, so th...

T paper studies the optimal contract between risk-neutral shareholders and a constant relative risk-aversion manager in a continuous-time model. Several interesting results are obtained. First, the optimal compensation is increasing but concave in output value if the manager is more risk averse than a log-utility manager. Second, when the manager has a log utility, a linear contract is optimal ...

The brightness temperature (BT) and backscattering coefficient (BSC) measured simultaneously by passive and active microwave sensors have great potential for the estimation of land surface soil moisture (SM). Several methods with combined passive and active microwave remote sensing observations for SM have been reported. Usually, the use of these methods, requires an accurate roughness conditio...

A typical mining problem is the extraction of patterns from subspaces of multidimensional data. Such patterns, known as a biclusters, comprise subsets of objects that behave similarly across subsets of attributes, and may overlap each other, i.e., objects/attributes may belong to several patterns, or to none. For many miners, a key input parameter is the error used which greatly affects the qua...

In most direct estimates of the mass density (visible or dark) of the Universe, a central input parameter is the luminosity density of the Universe. Here we consider the measurement of this luminosity density from red-shift surveys, as a function of the yet undetermined characteristic scale RH at which the spatial distribution of visible matter tends to a well defined homogeneity. Making the ca...

Multilinear maps have many cryptographic applications. The first candidate construction of multilinear maps was proposed by Garg, Gentry, and Halevi (GGH13) in 2013, and a bit later another candidate was suggested by Coron, Lepoint, and Tibouchi (CLT13) over the integers. However, both of them turned out to be insecure from so-called zeroizing attack (HJ15, CHL15). As a fix of CLT13, Coron, Lep...

This paper brings into evidence the need to have ontologies capable of representing methods, through a concrete real world example. DAML+OIL was the language chosen by Agentcities to model ontologies, but it has the shortage of being incapable of representing functions, actions or methods. Since DAML+OIL is an object-oriented approach, we propose the introduction of an extension to cope with me...

Discussed is a circuit which measures and analyses power supply transients as defined in the test technique, Transient Signal Analysis (TSA). This circuit can replace the benchtop instrumentation and offline signal processing software used in previous work. The circuit accepts voltage transients as analog inputs from the Device-Under-Test (DUT), performs integration and outputs an analog value ...