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Computation Over Gaussian Networks With Orthogonal Components

Publications associées (32)

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Effects as Implicit Capabilities

Martin Odersky

We propose to investigate a new approach to effect checking that has an elegant solution to the effect polymorphism problem. The central idea is that instead of talking about effects we talk about capabilities. For instance, instead of saying a function “t ...

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Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions

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We show that, in a restricted range, the divisor function of integers in residue classes modulo a prime follows a Gaussian distribution, and a similar result for Hecke eigenvalues of classical holomorphic cusp forms. Furthermore, we obtain the joint distri ...

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Functional programming (FP) is regularly touted as the way forward for bringing parallel, concurrent, and distributed programming to the mainstream. The popularity of the rationale behind this viewpoint (immutable data transformed by function application) ...

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Computation over Gaussian networks with orthogonal components

Michael Christoph Gastpar, Chien-Yi Wang

Function computation of arbitrarily correlated discrete sources over Gaussian networks with multiple access components but no broadcast is studied. Two classes of functions are considered: the arithmetic sum function and the frequency histogram function. T ...

2013

, ,

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 comput- ing functions, that r ...

2013

Linear Function Computation in Networks: Duality and Constant Gap Results

Michael Christoph Gastpar

In linear function computation, multiple source nodes communicate across a relay network to a single destination whose goal is to recover linear functions of the original source data. When the relay network is a linear deterministic network, a duality rela ...

Institute of Electrical and Electronics Engineers2013

Interactive Function Computation

Michael Christoph Gastpar

We investigate the role of interaction for computa- tion problem settings where nodes intend to compute functions of the raw messages generated at other nodes. In this work, we make some progress on a more elementary research component: feedback. Specifica ...

2013

Cryptographic Hash Functions in Groups and Provable Properties

Juraj Sarinay

We consider several "provably secure" hash functions that compute simple sums in a well chosen group (G,*). Security properties of such functions provably translate in a natural way to computational problems in G that are simple to define and possibly also ...

EPFL2011

Function computation via subspace coding

Christina Fragouli, Nikhil Karamchandani

2010