Batch time (energy) requirements are provided for the separation of ternary zeotropic and heteroazeotropic mixtures in three closed batch column configurations. Two multivessel column modifications (with and without vapor bypass) and a conventional batch column operated under the cyclic policy, were studied. The multivessel column performs always better than the conventional column and the time...

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We will establish that the vc dimension of the class of d-dimensional ellipsoids is (d +3d)/2, and that maximum likelihood estimate with N -component d-dimensional Gaussian mixture models induces a geometric class having vc dimension at least N(d + 3d)/2.

Observing natural phenomena at several levels of detail results in multiresolution data. Extending models and algorithms to cope with multiresolution data is a prerequisite for wide-spread exploitation of the data represented in the multiple resolutions. Mixture models are widely used probabilistic models, however, the mixture models in their standard form can be used to analyze the data repres...

While all modern speech recognition systems use Gaussian mixture models, there is no standard method to determine the number of mixture components. Current choices for mixture component numbers are usually arbitrary with little justification. In this paper we apply some common model selection methods to determine the number of mixture components. We show that they are ill-suited for the speech ...

We introduce a new technique to select the number of components of a mixture model with spatial dependence. It consists in an estimation of the Integrated Completed Likelihood based on a Laplace’s approximation and a new technique to deal with the normalizing constant intractability of the hidden Potts model. Our proposal is applied to a real satellite image.

Voice Conversion (VC) systems modify a speaker voice (source speaker) to be perceived as if another speaker (target speaker) had uttered it. Previous published VC approaches using Gaussian Mixture Models [1] performs the conversion in a frame-by-frame basis using only spectral information. In this paper, two new approaches are studied in order to extend the GMM-based VC systems. First, dynamic ...

We introduce RNADE, a new model for joint density estimation of real-valued vectors. Our model calculates the density of a datapoint as the product of onedimensional conditionals modeled using mixture density networks with shared parameters. RNADE learns a distributed representation of the data, while having a tractable expression for the calculation of densities. A tractable likelihood allows ...

for all j ≥ 2 and k < j. These conditionals are normal distributions since we assume Y |S is multivariate normal. Suppose that there exists j such that ps(yj|yj−1) is not the same for all s ≥ j. Then from (1), p≥j(yj|yj−1) will be a mixture of normals whereas pk(yj|yj−1) will be a normal distribution. Thus, Molenbergh’s condition will not be satisfied, i.e. the MAR constraints do not exist. On ...