The pseudoparticle approach is a numerical method to approximate path integrals in SU(2) Yang-Mills theory. Path integrals are computed by summing over all gauge field configurations, which can be represented by a linear superposition of a small number of pseudoparticles with amplitudes and color orientations as degrees of freedom. By comparing different pseudoparticle ensembles we determine pr...

in this paper, the problem of calculating the stress intensity factor (sif) for an orthotropic thick-walled cylinder with a small radial crack subject to internal pressure is considered. the crack is assumed to be an edge crack on the external radius of the cylinder. the stress intensity factor is calculated by superposition of an uncracked cylinder with uniform stress distribution and a cylind...

We propose an automatic hard thresholding (AHT) method for sparse-signal reconstruction. The measurements follow an underdetermined linear model, where the regression-coefficient vector is modeled as a superposition of an unknown deterministic sparse-signal component and a zero-mean white Gaussian component with unknown variance. Our method demands no prior knowledge about signal sparsity. Our ...

A parallel time integration method for nonlinear partial differential equations is proposed. It is based on a new implementation of the Paraexp method for linear partial differential equations (PDEs) employing a block Krylov subspace method. For nonlinear PDEs the algorithm is based on our Paraexp implementation within a waveform relaxation. The initial value problem is solved iteratively on a ...

In this paper, a novel algorithm based on an equivalent current source is proposed to reconstruct objects buried in a multilayered medium. First, a radiating current source, one part of the equivalent current source, is obtained directly in closed-form from scattering data via the signalsubspace method. Secondly, a nonradiating current source, the other part of the equivalent current source, is...

A critical challenge in robot learning from demonstration is the ability to map the behavior of the trainer onto a robot’s existing repertoire of basic/primitive capabilities. In part, this problem is due to the fact that the observed behavior of the teacher may consist of a combination (or superposition) of the robot’s individual primitives. The problem becomes more complex when the task invol...

The functional relevance of brain oscillations in the alpha frequency range (8-13 Hz) has been repeatedly investigated through the use of rhythmic visual stimulation. The underlying mechanism of the steady-state visual evoked potential (SSVEP) measured in EEG during rhythmic stimulation, however, is not known. There are two hypotheses on the origin of SSVEPs: entrainment of brain oscillations a...

We characterize a general solution to the vacuum Einstein equations which admits isolated horizons. We show it is a non-linear superposition – in precise sense – of the Schwarzschild metric with a certain free data set propagating tangentially to the horizon. This proves Ashtekar’s conjecture about the structure of spacetime near the isolated horizon. The same superposition method applied to th...

This paper proposes a novel evolutionary computing method called a genetic quantum algorithm (GQA). GQA is based on the concept and principles of quantum computing such as qubits and superposition of states. Instead of binary, numeric, or symbolic representation, by adopting qubit chromosome as a representation GQA can represent a linear superposition of solutions due to its probabilistic repre...