The various types of synthetic discriminant function (sdf) filter result in a weighted linear superposition of the training set images. Neural network training procedures result in a non-linear superposition of the training set images or, effectively, a feature extraction process, which leads to better interpolation properties than achievable with the sdf filter. However, generally, shift invar...

starting at time t, where K(t) is a weighting function. Note that it is possible to use any kernel function here (e.g. Uniform or Gaussian) that sums to 1. Under H0: Γ=0, the statistic Yw follows a normal distribution with mean 0 for all w, t. The window that yields the largest value, gives the strongest evidence of model misfit (See Fig. 2). This value is compared to the maximum that would be ...

We present a method to decrease the storage and communication complexity of the context-tree weighting method. This method is based on combining the estimated probability of a node in the context tree and weighted probabilities of its children in one single variable. This variable is represented by its logarithm.

In this paper the effect of window shape parameter „α‟ in Kaiser-Hamming and Cosh-Hamming window functions on the signal to noise ratio (SNR) values of the Indian Mesosphere-Stratosphere-Troposphere (MST) radar is computed. The six parts of multibeam observations of the lower atmosphere made by the MST radar are utilized for the analysis of results. Prior to the Fourier transformation, the in-p...

The short-scan case in fan-beam computed tomography requires the introduction of a weighting function to handle redundant data. Parker introduced such a weighting function for a scan over pi plus the opening angle of the fan. In this article we derive a general class of weighting functions for arbitrary scan angles between pi plus fan angle and 2pi (over-scan). These weighting functions lead to...

Dynamic Time Warping (DTW) is a time series distance measure that allows non-linear alignments between series. Constraints on the in form of windows and weights have been introduced because unconstrained DTW too permissive its alignments. However, windowing introduces crude step function, allowing flexibility within window, none beyond it. While not entailing multiplicative weight relative to d...

Applicability of the weighting function method to gravity problems is discussed as compared with the exact method. The merits of the weighting function method are its simplicity and rapidity of computation, particularly in three-dimensional problems. For local geological problems, the weighting function method can be used for the gravity calculation with sufficient accuracy when the structure i...