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Proceedings ArticleDOI

Distributed function computation over a tree network

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TLDR
This paper investigates a distributed function computation setting where the underlying network is a rooted directed tree and the root wants to compute a function of the sources of information available at the nodes of the network.
Abstract
This paper investigates a distributed function computation setting where the underlying network is a rooted directed tree and where the root wants to compute a function of the sources of information available at the nodes of the network. The main result provides the rate region for an arbitrary function under the assumption that the sources satisfy a general criterion. This criterion is satisfied, in particular, when the sources are independent.

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Rate Distortion for Lossy In-Network Linear Function Computation and Consensus: Distortion Accumulation and Sequential Reverse Water-Filling

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Overhead Performance Tradeoffs—A Resource Allocation Perspective

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Graph Codes for Distributed Instant Message Collection in an Arbitrary Noisy Broadcast Network

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Coding for lossy function computation: Analyzing sequential function computation with distortion accumulation

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References
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Coding for computing

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Journal ArticleDOI

How to encode the modulo-two sum of binary sources (Corresp.)

TL;DR: If the sequences are the outputs of two correlated memoryless binary sources, then in some cases the rate of this information may be substantially less than the joint entropy of the two sources.
Proceedings ArticleDOI

Coding for computing

TL;DR: It is shown that if only the sender can transmit, the number of bits required is a conditional entropy of a naturally defined graph.
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The zero-error side information problem and chromatic numbers (Corresp.)

TL;DR: A discrete random variable X is to be transmitted by means of a discrete signal so that the probability of error must be exactly zero, and the problem is to minimize the signal's alphabet size.
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Network Coding for Computing: Cut-Set Bounds

TL;DR: In this paper, the authors considered the network coding problem for a single-receiver network and gave a lower bound on the computing capacity in terms of the Steiner tree packing number and a different bound for symmetric functions.
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