Entropy-Preserving Coupling of Hierarchical Gas Models

Manifold Preserving Hierarchical Topic Models for Quantization and Approximation

We present two complementary topic models to address the analysis of mixture data lying on manifolds. First, we propose a quantization method with an additional midlayer latent variable, which selects only data points that best preserve the manifold structure of the input data. In order to address the case of modeling all the in-between parts of that manifold using this reduced representation o...

Topology Preserving Deformable Image Matching Using Constrained Hierarchical Parametric Models

In this paper, we address the issue of topology preservation in deformable image matching. A novel constrained hierarchical parametric approach is presented, that ensures that the mapping is globally one-to one and thus preserves topology in the deformed image. The transformation between the source and target images is parameterized at different scales, using a decomposition of the deformation ...

Entropy-Preserving Transformation Method

Hierarchical Models of Nonstationary Flows in Complex Gas Transmission Networks

Consideration was given to simulation of the nonstationary flows in a complex configuration of gas transmission systems. Simulation is defined as a generalized solution of the initial boundary problem for nonlinear partial derivative equation with discontinuous coefficients describing the nonstationary distributions of pressures and flows in the system. General solution is defined by the finite...

Entropy Based Fuzzy Rule Weighting for Hierarchical Intrusion Detection

Predicting different behaviors in computer networks is the subject of many data mining researches. Providing a balanced Intrusion Detection System (IDS) that directly addresses the trade-off between the ability to detect new attack types and providing low false detection rate is a fundamental challenge. Many of the proposed methods perform well in one of the two aspects, and concentrate on a su...