In this paper we present a set of efficient algorithms for detection and identification of discontinuities in high dimensional space. The method is based on extension of polynomial annihilation for discontinuity detection in low dimensions. Compared to the earlier work, the present method poses significant improvements for high dimensional problems. The core of the algorithms relies on adaptive...

We present a new mixed method of LDA-VQ to predict Korean prosodic break index(PBI) for a given utterance. PBI can be used as an important cue of syntactic discontinuity in continuous speech recognition(CSR). Our proposed method, LDA-VQ model, consists of three steps. At the first step, PBI was predicted with the information of syllable and pause duration through the linear discriminant analysi...

We present an approach which allows for modifications of the (minimal) analytic QCD model of Shirkov, Solovtsov et al.. The discontinuity function of the (minimal) analytic QCD coupling parameter is changed at the low time-like momenta by a simple ansatz motivated by the vector meson dominance for the vector channel of the e + e − hadronic decay ratio RV (s). In this way, the additional low ene...

The cdf and pdf of the maximally skewed (/~ = 1) stable distributions are tabulated to high precision, by means of Zolotarev's integral representation, for ct = 0.50 (0.02) 2.00, at fractiles corresponding to p = 0.0001, 0.001, 0.005, 0.01 (0.01) 0.99, 0.995, 0.999, 0.9999. This tabulation is intended to be suitable for developing and calibrating a numerical approximation to these distributions...

The polarization of magnetic impurities by a spin-density-wave tends to stabilize the commensurate SDW phase and to modify the coordinates of the tricritical point. A numerical calculation has been performed to obtain the impurity concentration dependence of the tricritical point coordinates and the associated discontinuity in the SDW wave-vector.

We prove that the standard quasi-geometric discounting model used in dynamic consumer theory and political economics does not possess continuous Markov perfect equilibria (MPE) if there is a strictly positive lower bound on wealth. We also show that, at points of discontinuity, the decision maker strictly prefers lotteries over the next period’s assets. We then extend the standard model to have...

In {J. Comput. Phys. 229 (2010) 8105-8129}, we studied hybrid weighted essentially non-oscillatory (WENO) schemes with different indicators for hyperbolic conservation laws on uniform grids for Cartesian domains. In this paper, we extend the schemes to solve two-dimensional systems of hyperbolic conservation laws on curvilinear grids for non-Cartesian domains. Our goal is to obtain similar adva...

Meshfree methods with discontinuous radial basis functions and their numerical implementation for elastic problems are presented. We study the following radial basis functions: the multiquadratic (MQ), the Gaussian basis functions and the thin-plate basis functions. These radial basis functions are combined with step function enrichments directly or with enriched Shepard functions. The formulat...

In Computable Analysis each computable function is continuous and computably invariant , i.e. it maps computable points to computable points. On the other hand, discontinuity is a suucient condition for non-computability, but a discontinuous function might still be computably invariant. We investigate algebraic conditions which guarantee that a discon-tinuous function is suuciently discontinuou...

The formation of dense spacing fracture network is crucial to the hydraulic fracturing treatment of unconventional reservoir. However, one difficulty for fracturing treatment is the lack of clear understanding on the nature of fracture complexity created during the treatment. In this paper, fracture propagation is numerically investigated to find the conditions needed for the stable propagation...