Following the model introduced by Aguech, Lasmar and Mahmoud [Probab. Engrg. Inform. Sci. 21 (2007) 133–141], the weighted depth of a node in a labelled rooted tree is the sum of all labels on the path connecting the node to the root. We analyze weighted depths of nodes with given labels, the last inserted node, nodes ordered as visited by the depth first search process, the weighted path lengt...

Data envelopment analysis (DEA) is a method for measuring the efficiency of peer decision making units (DMUs) which uses a set of inputs to produce a set of outputs. In some cases, DMUs have a two-stage structure, in which the first stage utilizes inputs to produce outputs used as the inputs of the second stage to produce final outputs. One important issue in two-stage DEA is the sensitivity of...

This technical report addresses model-based interpolation of long signal gaps. It demonstrates that employing a modified autoregressive AR model, computed as a weighted sum of line spectral pair (LSP) polynomials, is more efficient computationally than using a conventional AR model, since longer signal gaps can be interpolated at reduced model order. Key-words: acoustic signal processing, audio...

quantification of the habitat available for fish species named rainbow trout (oncorhynchusmykiss) were evaluated in lees ferry, colorado river using water depth, water temperature, sediment transport,flow velocity in 2004 as environmental index. for the flow velocity and temperature distribution calculationsin the river, the navier-stokes equation and energy conservation equations with finite v...

The autocorrelation function of the all-pole filter given by the conventional linear prediction (LP) matches exactly the autocorrelation function of the input signal between indices 0 and m, when the prediction order equals m. This study describes a recently developed technique, Weighted-Sum Line Spectrum Pair (WLSP), where an all-pole filter is defined by using a sum of weighted LSP (Line Spec...

in data envelopment analysis, the relative efficiency of a decision making unit (dmu) is defined as the ratio of the sum of its weighted outputs to the sum of its weighted inputs allowing the dmus to freely allocate weights to their inputs/outputs. however, this measure may not reflect a the true efficiency of a dmu because some of its inputs/outputs may not contribute reasonably in computing t...

A neural network is a network of interconnected elementary units which have limited characteristic properties of real (or biological) neurons. Each unit is capable of receiving many inputs, some of which can activate the unit while other inputs can inhibit the activities of the unit. The neuron-like elementary unit computes a weighted sum of the input,s it receives and fires (or produces) a sin...

We study the properties of complex networks embedded in a Euclidean space of communicability distances. The communicability distance between two nodes is defined as the difference between the weighted sum of walks self-returning to the nodes and the weighted sum of walks going from one node to the other. We give some indications that the communicability distance identifies the least crowded rou...