Appears in Proc. Seventh Australian Conf. Artificial Neural Networks, pages 179-183, 1996. Analysis of the Error Surface of the XOR Network with Two Hidden Nodes Leonard G. C. Hamey [email protected] School of MPCE Macquarie University NSW 2109 Australia ABSTRACT The exclusive-or learning task in a feed-forward neural network with two hidden nodes is investigated. Constraint equations have bee...

We investigate the impact of adding inner nodes for a Filon-type method for highly oscillatory quadrature. The error of Filon-type method is composed of asymptotic and interpolation errors, and the interplay between the two varies for different frequencies. We are particularly concerned with two strategies for the choice of inner nodes: Clenshaw–Curtis points and zeros of an appropriate Jacobi ...

Identifying short and long range change points in an observed time series that consists of stationary segments is a common problem. These change points mark the time boundaries of the segments where the time series leaves one stationary state and enters another. Due to certain technical advantages, analysis is carried out in the frequency domain to identify such change points in the time domain...

We study the flat region of stationary points of the functional

A unique binary four-point approximating subdivision scheme has been developed in which one part of formula have stationary mask and other the non-stationary mask. The resulting curves smoothness C3 continuous for wider range shape control parameter. role parameter depicted using square form discrete points.

Multi-leader multi-follower games are a class of hierarchical games in which a collection of leaders compete in a Nash game constrained by the equilibrium conditions of another Nash game amongst the followers. Much of the extant research on this topic is either model specific or relies on weaker notions of equilibria. We observe that when this original game is modified to ensure that the leader...

This study evaluates the potential of the entropy rate contour to identify stationary and non-stationary segments of speech signals. The segmentation produced by an entropy rate-based method is compared to the manual phoneme segmentations of the TIMIT and the KIEL corpora. Characteristic points, i.e. steepest rises and falls of the entropy rate curve and its maxima and minima are investigated t...

In this paper we address the existence, the asymptotic behavior and stability in L and L, 3 2 < p ≤ ∞, for solutions to the steady state 3D Navier-Stokes equations with possibly very singular external forces. We show that under certain smallness conditions of the forcing term there exists solutions to the stationary Navier-Stokes equations in L spaces, and we prove the stability of these soluti...

The main objective of this paper is to characterize the pathwise local structure of solutions of semilinear stochastic evolution equations (see’s) and stochastic partial differential equations (spde’s) near stationary solutions. Such characterization is realized through the long-term behavior of the solution field near stationary points. The analysis falls in two parts 1, 2. In Part 1, we prove...