Cache-Aided General Linear Function Retrieval

Coded Caching, proposed by Maddah-Ali and Niesen (MAN), has the potential to reduce network traffic by pre-storing content in the users’ local memories when the network is underutilized and transmitting coded multicast messages that simultaneously benefit many users at once during peak-hour times. T...

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Main Authors: Kai Wan, Hua Sun, Mingyue Ji, Daniela Tuninetti, Giuseppe Caire
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/1/25
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author Kai Wan
Hua Sun
Mingyue Ji
Daniela Tuninetti
Giuseppe Caire
author_facet Kai Wan
Hua Sun
Mingyue Ji
Daniela Tuninetti
Giuseppe Caire
author_sort Kai Wan
collection DOAJ
description Coded Caching, proposed by Maddah-Ali and Niesen (MAN), has the potential to reduce network traffic by pre-storing content in the users’ local memories when the network is underutilized and transmitting coded multicast messages that simultaneously benefit many users at once during peak-hour times. This paper considers the linear function retrieval version of the original coded caching setting, where users are interested in retrieving a number of linear combinations of the data points stored at the server, as opposed to a single file. This extends the scope of the authors’ past work that only considered the class of linear functions that operate element-wise over the files. On observing that the existing cache-aided scalar linear function retrieval scheme does not work in the proposed setting, this paper designs a novel coded caching scheme that outperforms uncoded caching schemes that either use unicast transmissions or let each user recover all files in the library.
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spelling doaj.art-bd04f51017d64977aed1b5bb8ea289e52023-11-21T02:40:20ZengMDPI AGEntropy1099-43002020-12-012312510.3390/e23010025Cache-Aided General Linear Function RetrievalKai Wan0Hua Sun1Mingyue Ji2Daniela Tuninetti3Giuseppe Caire4Electrical Engineering and Computer Science Department, Technische Universität Berlin, 10587 Berlin, GermanyDepartment of Electrical Engineering, University of North Texas, Denton, TX 76203, USAElectrical and Computer Engineering Department, University of Utah, Salt Lake City, UT 84112, USAElectrical and Computer Engineering Department, University of Illinois Chicago, Chicago, IL 60607, USAElectrical Engineering and Computer Science Department, Technische Universität Berlin, 10587 Berlin, GermanyCoded Caching, proposed by Maddah-Ali and Niesen (MAN), has the potential to reduce network traffic by pre-storing content in the users’ local memories when the network is underutilized and transmitting coded multicast messages that simultaneously benefit many users at once during peak-hour times. This paper considers the linear function retrieval version of the original coded caching setting, where users are interested in retrieving a number of linear combinations of the data points stored at the server, as opposed to a single file. This extends the scope of the authors’ past work that only considered the class of linear functions that operate element-wise over the files. On observing that the existing cache-aided scalar linear function retrieval scheme does not work in the proposed setting, this paper designs a novel coded caching scheme that outperforms uncoded caching schemes that either use unicast transmissions or let each user recover all files in the library.https://www.mdpi.com/1099-4300/23/1/25coded cachinglinear function retrievaluncoded cache placement
spellingShingle Kai Wan
Hua Sun
Mingyue Ji
Daniela Tuninetti
Giuseppe Caire
Cache-Aided General Linear Function Retrieval
Entropy
coded caching
linear function retrieval
uncoded cache placement
title Cache-Aided General Linear Function Retrieval
title_full Cache-Aided General Linear Function Retrieval
title_fullStr Cache-Aided General Linear Function Retrieval
title_full_unstemmed Cache-Aided General Linear Function Retrieval
title_short Cache-Aided General Linear Function Retrieval
title_sort cache aided general linear function retrieval
topic coded caching
linear function retrieval
uncoded cache placement
url https://www.mdpi.com/1099-4300/23/1/25
work_keys_str_mv AT kaiwan cacheaidedgenerallinearfunctionretrieval
AT huasun cacheaidedgenerallinearfunctionretrieval
AT mingyueji cacheaidedgenerallinearfunctionretrieval
AT danielatuninetti cacheaidedgenerallinearfunctionretrieval
AT giuseppecaire cacheaidedgenerallinearfunctionretrieval