Multi-Server Multi-Function Distributed Computation

The work here studies the communication cost for a multi-server multi-task distributed computation framework, as well as for a broad class of functions and data statistics. Considering the framework where a user seeks the computation of multiple complex (conceivably non-linear) tasks from a set of d...

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Vydáno v:Entropy (Basel, Switzerland) Ročník 26; číslo 6; s. 448
Hlavní autoři: Malak, Derya, Deylam Salehi, Mohammad Reza, Serbetci, Berksan, Elia, Petros
Médium: Journal Article
Jazyk:angličtina
Vydáno: Switzerland MDPI AG 26.05.2024
MDPI
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ISSN:1099-4300, 1099-4300
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Shrnutí:The work here studies the communication cost for a multi-server multi-task distributed computation framework, as well as for a broad class of functions and data statistics. Considering the framework where a user seeks the computation of multiple complex (conceivably non-linear) tasks from a set of distributed servers, we establish the communication cost upper bounds for a variety of data statistics, function classes, and data placements across the servers. To do so, we proceed to apply, for the first time here, Körner’s characteristic graph approach—which is known to capture the structural properties of data and functions—to the promising framework of multi-server multi-task distributed computing. Going beyond the general expressions, and in order to offer clearer insight, we also consider the well-known scenario of cyclic dataset placement and linearly separable functions over the binary field, in which case, our approach exhibits considerable gains over the state of the art. Similar gains are identified for the case of multi-linear functions.
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This work was conducted when B. Serbetci was a Postdoctoral Researcher at EURECOM.
ISSN:1099-4300
1099-4300
DOI:10.3390/e26060448