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Computation Over Gaussian Networks With Orthogonal Components

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Function computation via subspace coding

Christina Fragouli, Lorenzo Keller, Nikhil Karamchandani

This paper considers function computation in a network where intermediate nodes perform randomized network coding, through appropriate choice of the subspace codebooks at the source nodes. Unlike traditional network coding for computing functions, that req ...

2010

Function computation over linear channels

Christina Fragouli, Lorenzo Keller, Nikhil Karamchandani

We consider multiple non-colocated sources commu- nicating over a network to a common sink. We assume that the network operation is fixed, and its end result is to convey a fixed linear deterministic transformation of the source data to the sink. This line ...

2010

Rating aggregation in collaborative filtering systems

Boi Faltings, Radu Jurca, Florent Frédéric Garcin, Nadine Joswig

Recommender systems based on user feedback rank items by aggregating users' ratings in order to select those that are ranked highest. Ratings are usually aggregated using a weighted arithmetic mean. However, the mean is quite sensitive to outliers and bias ...

ACM Press2009

Statistics Of Prime Divisors In Function Fields

Robert Christopher Rhoades

We show that the prime divisors of a random polynomial in F-q[t] are typically "Poisson distributed". This result is analogous to the result in Z of Granville [1]. Along the way, we use a sieve developed by Granville and Soundararajan [2] to give a simple ...

2009

Le carré de la fonction des diviseurs

Nicolas Bersier

Let d(n) denote Dirichlet's divisor function for positive integer numbers. This work is primarily concerned with the study of We are interested, in the error term where Ρ3 is a polynomial of degree 3 ; more precisely xΡ3(log x) is the residue of in s = 1. ...

EPFL2007

Adjusted complex position of extra sources in the image sources method

Thomas Guignard, Vincent Martin

Using a series development of the integral solution, a formal backing of the presence of image sources in geometrical acoustics methods has been shown. Furthermore, the existence of "invisible" sources is suggested, especially in the vicinity of obtuse ang ...

2006

On a stochastic version of the plenacoustic function

Martin Vetterli, Andrea Ridolfi, Luciano Sbaiz, Thibaut Ajdler

In this paper, we model a spatially varying channel where a source is moving along a random trajectory with respect to a fixed re- ceiver. The aim is to compute the power spectral density corre- sponding to the channel impulse response as a function of tem ...

2006

The longitudinal piezoelectric coefficient d(33) measured by the quasistatic (Berlincourt-type) method is strongly dependent on the sample aspect ratio (thickness/lateral dimension) and the type of contacts used to collect the charge and apply the pressure ...

2005

An Exact Relation Between Willingness To Pay and Willingness To Accept

Thomas Alois Weber

I present a simple and precise relationship between the willingness-to-pay and the willingness-to-accept, or equivalently between the compensating and equivalent variations following an exogenous welfare change. One can be computed given the other as a fun ...

Elsevier2003

Wavelet packet best basis search using generalized Renyi entropy

Volkan Cevher

This paper introduces an approach to wavelet packet best basis searches using the generalized Renyi entropy. The approach extends on work by Coifman and Wickerhauser who showed how Shannon entropy can be used as an additive cost function in the wavelet pac ...

2002