Data scientists have applied various analytic models and techniques to address the oft-cited problems of large volume, high velocity data rates and diversity in semantics. Such approaches have traditionally employed analytic techniques in a streaming or batch processing paradigm. This paper presents CRUCIBLE, a first-in-class framework for the analysis of large-scale datasets that exploits both...

Aims. We present an analytic approximate seismic inversion scheme for damped transverse coronal loop oscillations based on the thin tube and thin boundary approximation for computing the period and the damping time. Methods. Asymptotic expressions for the period and damping rate are used to illustrate the process of seismological inversion in a simple and easy to follow manner. The inversion pr...

Hurwitz found the Fourier expansion of the Bernoulli polynomials over a century ago. In general, Fourier analysis can be fruitfully employed to obtain properties of the Bernoulli polynomials and related functions in a simple manner. In addition, applying the technique of Möbius inversion from analytic number theory to Fourier expansions, we derive identities involving Bernoulli polynomials, Ber...

In this paper we present statistical models for text which treat words with higher frequencies of occurrence in a sensible manner, and perform better than widely used models based on the multinomial distribution on a wide range of classification tasks, with two or more classes. Our models are based on the Poisson and Negative-Binomial distributions, which keep desirable properties of simplicity...

Convolutional Radial Basis Function (RBF) networks are introduced for smoothing out irregularly sampled signals. Our proposed technique involves training a RBF network and then convolving it with a Gaussian smoothing kernel in an analytical manner. Since the convolution results in an analytic form, the computation necessary for numerical convolution is avoided. Convolutional RBF networks need t...

This research shows that the principle of good continuation can predict forced-choice detection of an element imbedded in a briefly presented visual array. The present experiments show the configurational effect in a manner that is difficult for feature-analytic theories to explain. The research adds good continuation to good form as Gestalt-like organizational principles affecting detection pe...

The similarity model commonly used in laser plasma calculations is shown to be identical with the uniformly expanding universe model analysed by Heckmann 1. A solution is found to the corresponding gasdynamic equations also for the case of nonvanishing entropy production. The solution is analytic for a class of heat input rates. Heat input is shown to affect the gas motion in an exponential man...

Analytic surgery, as defined in [9] and [6], is a one-parameter metric deformation of a Riemannian manifold M , which stretches M across a separating hypersurface H in a cylindrical fashion; the singular limit is a complete manifold with asymptotically cylindrical ends, M . In this paper, the analysis of [9] and [6] is used to study the behaviour of analytic torsion of unitary representations u...

the rapidly expanding fields of pharmacogenomics and pharmacodiagnostics have presented the pathology laboratories with many challenges and opportunities. as custodians of patient tissues, these laboratories are in the logical position to perform biomolecular testing for proper management of patients. in order to meet these challenges, the pathology laboratories of the twenty-first century shou...

Outdoor sound propagation benefits from algorithms that can handle, in a computationally efficient manner, inhomogeneous media, complex boundary surfaces, and large spatial expanse. One recent work by Mo, Yeh, Lin, and Manocha [Appl. Acoust. 104, 142-151 (2016)] proposed a ray tracing method using analytic ray curves as tracing primitives, which improved the performance of propagation paths com...