Support vector regression (SVR) has been regarded as a state-of-the-art method for approximation and regression. The importance of kernel function, which is so-called admissible support vector kernel (SV kernel) in SVR, has motivated many studies on its composition. The Gaussian kernel (RBF) is regarded as a “best” choice of SV kernel used by non-expert in SVR, whereas there is no evidence, exc...

In the previous part of this diptych, we defined notion an admissible simplicial connection, as well explaining how H.I. Green constructed a resolution coherent analytic sheaves by locally free on \v{C}ech nerve. This paper seeks to apply these abstract formalisms, showing that Green's barycentric connection is indeed admissible, and condition exactly what need in order be able Chern-Weil theor...

We describe geometric realizations for various classes of admissible representations of reductive Lie groups. The representations occur on partially holomorphic cohomology spaces corresponding to partially holomorphic homogeneous vector bundles over real group orbits in complex flag manifolds. The representations in question include standard tempered and limits of standard tempered representati...

Let O 6= א0 be arbitrary. In [29], the authors described admissible vector spaces. We show that X̂ < i. It would be interesting to apply the techniques of [29] to universal homeomorphisms. It is not yet known whether g is positive definite, although [29, 32] does address the issue of existence.

in this paper, we consider admissible estimation of the parameter ?r in the gamma distribution with truncated parameter space under entropy loss function. we obtain the classes of admissible estimators. the result can be applied to estimation of parameters in the normal, lognormal, pareto, generalized gamma, generalized laplace and other distributions.

this paper extends the scope of algebraic computation based on a non standard × to the more basic case of a non standard +, where standard means associative and commutative. two physically meaningful examples of a non standard + are provided by the observation of motion in special relativity, from either outside (3d) or inside (2d or more), we revisit the “gyro”-theory of ungar to present the m...

A neural network solution is proposed for solving path planning problems faced by mobile robots. The proposed network is a two-dimensional sheet of neurons forming a distributed representation of the robot's workspace. Lateral interconnections between neurons are "cooperative", so that the network exhibits oscillatory behaviour. These oscillations are used to generate solutions of Bellman's dyn...

Several domains [1,4,9,12] can be used to define the semantics of quantum programs. Among them Abramsky [1] has introduced a semantics based on probabilistic power domains, whereas the one by Selinger [12] associates with each program a completely positive map. In this abstract, we mainly introduce a semantical domain based on admissible transformations, i.e. multi-sets of linear operators. In ...

This article investigates the representative-agent hypothesis for a population which faces a collective choice from a given finite-dimensional space of alternatives. Each individual’s preference ordering is assumed to admit a utility representaion through an element of an exogenously given set of admissible utility functions. In addition, we assume that (i) the class of admissible utility funct...