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Linear Function Computation in Networks: Duality and Constant Gap Results

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On the spectral estimates for Schrödinger type operators. The case of small local dimension

The behavior of the discrete spectrum of the Schr"odinger operator

-\D - V

, in quite a general setting, up to a large extent is determined by the behavior of the corresponding heat kernel

P(t;x,y)

t\to 0

and

t\to\infty

. If this behavior is powe ...

2010

Function computation via subspace coding

Christina Fragouli, 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 via subspace coding

Christina Fragouli, Lorenzo Keller, Nikhil Karamchandani

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

Distortion of Mappings and $L_{q,p}$-Cohomology

Marc Troyanov

We study some relation between some geometrically defined classes of diffeomorphisms between manifolds and the

L_{q,p}

-cohomology of these manifolds. Some applications to vanishing and non vanishing results in

L_{q,p}

-cohomology are given. ...

Springer-Verlag2009

Minkowski sums of polytopes

Christophe Weibel

Minkowski sums are a very simple geometrical operation, with applications in many different fields. In particular, Minkowski sums of polytopes have shown to be of interest to both industry and the academic world. This thesis presents a study of these sums, ...

EPFL2007

Apraxia: a review

Olaf Blanke, Aude Billard, Biljana Petreska von Ritter-Zahony

Praxic functions are frequently altered following brain lesion, giving rise to apraxia - a complex pattern of impairments that is difficult to assess or interpret. In this chapter, we review the current taxonomies of apraxia and related cognitive and neuro ...

Elsevier2007

Variational Image Reconstruction from Arbitrarily Spaced Samples: A Fast Multiresolution Spline Solution

Michaël Unser, Michael Sühling, Muthuvel Arigovindan

We propose a novel method for image reconstruction from nonuniform samples with no constraints on their locations. We adopt a variational approach where the reconstruction is formulated as the minimizer of a cost that is a weighted sum of two terms: 1) the ...

IEEE2005

A generalized correlation for equilibrium of forces in liquid-solid fluidized beds

Albert Renken

A review of publication on the expansion of fluidized bed with the fluid velocity. The well-known Richardson-Zaki equation is applied to develop a more accurate relation linking the apparent drag force Fd, the effective gravitational force Fg, and the void ...

2003

Computation Observability Regions for Discrete-time Hybrid Systems

Giancarlo Ferrari Trecate

In this paper we focus on observability for hybrid systems in the mixed-logic dynamical form. We show that the maximal set of observable states, that is usually non convex and disconnected, can be represented as the union of finitely many polytopic regions ...

2003

On the spectral estimates for Schrödinger type operators. The case of small local dimension

The behavior of the discrete spectrum of the Schr"odinger operator

-\D - V

, in quite a general setting, up to a large extent is determined by the behavior of the corresponding heat kernel

P(t;x,y)

t\to 0

and

t\to\infty

. If this behavior is powe ...

2010

Distortion of Mappings and $L_{q,p}$-Cohomology

Marc Troyanov

We study some relation between some geometrically defined classes of diffeomorphisms between manifolds and the

L_{q,p}

-cohomology of these manifolds. Some applications to vanishing and non vanishing results in

L_{q,p}

-cohomology are given. ...

Springer-Verlag2009