Research shows that multi-fractal can not only exhibit the singular probability distribution form of the fractal signal completely, but also increase the fine level of signal geometrical characteristics and local scaling behavior. Based on multi fractal dimension calculation of time-frequency matrix of vibration signal of rolling bearing in this paper, energy distribution characteristics of tim...

The helix model describes the minimal coupling of an abelian gauge field with three bosonic matter fields in 0+1 dimensions; it is a model without a global Gribov obstruction. We perform the stochastic quantization in configuration space and prove nonperturbatively equivalence with the path integral formalism. Major points of our approach are the geometrical understanding of separations into ga...

Abstract: Quantum-classical hybrid that preserves the topology of the Schrödinger equation (in the Madelung form), but replaces the quantum potential with other, specially selected, function of probability density is introduced. Non-locality associated with a global geometrical constraint that leads to entanglement effect is demonstrated. Despite such a quantum-like characteristic, the hybrid c...

In this paper, the performance of fixed-gain amplify-and-forward (FAF) relaying is investigated. An approximation for the average symbol error probability (SEP) is derived for multiple-mobile-relay-based mobile-to-mobile (M2M) cooperative networks over NNakagami fading channels. The moment generating function (MGF) method is used to obtain average SEP expressions for various modulation techniqu...

We develop an expectation-maximization algorithm with local adaptivity for image segmentation and classification. The key idea of our approach is to combine global statistics extracted from the Gaussian mixture model or other proper statistical models with local statistics and geometrical information, such as local probability distribution, orientation, and anisotropy. The combined information ...

Stochastic dynamics is generated by a matrix of transition probabilities. Certain eigenvectors of this matrix provide observables, and when these are plotted in the appropriate multidimensional space the phases (in the sense of phase transitions) of the underlying system become manifest as extremal points. This geometrical construction, which we call an observable representation of state space,...

We describe a statistical reconstruction methodology for the GLAST LAT. The methodology incorporates in detail the statistics of the interactions of photons and charged particles with the tungsten layers in the LAT, and uses the scattering distributions to compute the full probability distribution over the energy and direction of the incident photons. It uses model selection methods to estimate...

To find out the role of the wiring cost in the organization of the neural network of the nematode Caenorhapditis elegans (C. elegans), we build the neuronal map of C. elegans based on geometrical positions of neurons and define the cost as inter-neuronal Euclidean distance d. We show that the wiring probability decays exponentially as a function of d. Using the edge exchanging method and the co...

This paper deals with the development of a new fiber tracking algorithm to be used with high resolution diffusion tensor fields acquired via magnetic resonance imaging. The tracking of white matter fibers in the human brain will improve the diagnosis and treatment of many neuronal diseases. The algorithm here proposed is based on a mixture of geometrical and probabilistic criteria. The method p...

B R Calder L M Linnett Heriot-Watt University, UK Abstract We consider the problem of generating size-frequency distributions of pebbles for mining support applications. Based on simple image processing operations and some geometrical constraints, we develop a scheme which is simple, robust and readily parallisable. We apply this system to some illustrative test data, which shows that the algor...