Feature Selection benefits a learner by eliminating non-informative or noisy features and by reducing the overall feature space to a manageable size. The Term Feature Selection is used in Machine Learning for the process of selecting a subset of features used to represent the text. In this paper, we propose a new approach for Text Representation based on incorporating background Knowledge Arabi...

This paper studies the asymptotic properties of partitioning estimators of the conditional expectation function and its derivatives. Mean-square and uniform convergence rates are established and shown to be optimal under simple and intuitive conditions. The uniform rate explicitly accounts for the effect of moment assumptions, which is useful in semiparametric inference. A general asymptotic in...

This paper examines the relationships between language and ideology and how ideology is constructed and presented via different language choices in English editorials published in different socio-cultural contexts. Van Dijk’s (2000a) ideological square in terms of representation of the self and other was applied to the editorials. Through a comparative analysis of Iranian, Turkish and Saudi Ara...

In order to solve Brown’s equations, which describe a continuous medium, computational micromagnetic modeling requires a discrete representation of the magnetization M(r), and a discrete representation of the derivatives of M(r) must be chosen. This choice may be made through an explicit choice of interpolation or through the choice of numerical representation of Brown’s equations. In this pape...

Let π be a cuspidal, automorphic representation of GSp4 attached to a Siegel modular form of degree 2. We refine the method of Furusawa [9] to obtain an integral representation for the degree-8 L-function L(s, π × τ), where τ runs through certain cuspidal, automorphic representation of GL2. Our calculations include the case of square-free level for the p-adic components of τ , and a wide class ...

The minimal representation π of O(p, q) (p + q: even) is realized on the Hilbert space of square integrable functions on the conical subvariety of Rp+q−2. This model presents a close resemblance of the Schrödinger model of the Segal-Shale-Weil representation of the metaplectic group. We shall give explicit integral formulas for the ‘inversion’ together with the analytic continuation to a certai...

Use of data assimilation techniques is becoming increasingly common across many application areas. The inverse Hessian (and its square root) plays an important role in several different aspects of these processes. In geophysical and engineering applications, the Hessian-vector product is typically defined by sequential solution of a tangent linear and adjoint problem; for the inverse Hessian, h...

In rotor walk on a graph, the exits from each vertex follow a prescribed periodic sequence. We show that any rotor walk on the d-dimensional lattice Z visits at least on the order of t distinct sites in t steps. This result extends to Eulerian graphs with a volume growth condition. In a uniform rotor walk the first exit from each vertex is to a neighbor chosen uniformly at random. We prove a sh...

We are used to imagining Pascal’s triangle as extending forever downwards from a vertex located at the top. But it is interesting to see it as occupying the first quadrant of the plane with it’s vertex at (0, 0). Imagine further that the plane is made of graph paper — that is, that we have embedded into it the Cayley graph of Z × Z with respect to the standard generating set. If we place the en...