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Online Coded Caching (1311.3646v1)

Published 14 Nov 2013 in cs.IT, cs.NI, and math.IT

Abstract: We consider a basic content distribution scenario consisting of a single origin server connected through a shared bottleneck link to a number of users each equipped with a cache of finite memory. The users issue a sequence of content requests from a set of popular files, and the goal is to operate the caches as well as the server such that these requests are satisfied with the minimum number of bits sent over the shared link. Assuming a basic Markov model for renewing the set of popular files, we characterize approximately the optimal long-term average rate of the shared link. We further prove that the optimal online scheme has approximately the same performance as the optimal offline scheme, in which the cache contents can be updated based on the entire set of popular files before each new request. To support these theoretical results, we propose an online coded caching scheme termed coded least-recently sent (LRS) and simulate it for a demand time series derived from the dataset made available by Netflix for the Netflix Prize. For this time series, we show that the proposed coded LRS algorithm significantly outperforms the popular least-recently used (LRU) caching algorithm.

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Authors (3)
  1. Ramtin Pedarsani (82 papers)
  2. Mohammad Ali Maddah-Ali (82 papers)
  3. Urs Niesen (30 papers)
Citations (309)

Summary

Online Coded Caching: An Overview

The paper "Online Coded Caching" by Ramtin Pedarsani, Mohammad Ali Maddah-Ali, and Urs Niesen presents an innovative exploration of an online coded caching problem in content distribution systems. This paper is situated within a context where a single server delivers content across a shared bottleneck link to numerous users, each equipped with a finite-sized cache.

Content Distribution and Caching in Networks

Given the rising demand for streaming services, network bandwidth utilization has become critical. Coded caching offers a decentralized solution to mitigate network load by creating coded multicasting opportunities among users with divergent demands. Traditional caching policies like Least-Recently Used (LRU) have been effective within single cache systems, but face limitations in distributed caching settings due to lack of proportionality between cache-miss rates and network load. This calls for a probabilistically better online coded caching alternative.

Problem Formulation and Results

The paper considers a scenario where users request files from a dynamic set of popular files, evolving according to a Markov model. The goal is to minimize the average rate of data transmission over the shared link. The authors introduce an online coded caching scheme termed "coded least-recently sent" (LRS) and demonstrate its efficacy, outperforming the traditional LRU algorithm on empirical data, notably from the Netflix Prize dataset.

The paper achieves several key results:

  • It approximately characterizes the optimal long-term rate of the shared link, asserting strong performance equivalence between online and offline caching schemes. This outcome is notable given offline schemes possess foresight of future requests and thus potentially more refined cache management.
  • The authors present theoretical underpinnings supported by bounds showing that the optimal online scheme's rate does not significantly deviate from its offline counterpart.

Coded LRS Algorithm

The coded LRS algorithm is highlighted through its online caching architecture, leveraging coded multicasting. It completes cache operations dynamically using available requests without future insights. The performance gains are largely attributed to its strategic LRS eviction, which contrasts with LRU by considering collective user requests rather than individual user histories.

Simulation and Implications

Simulations reaffirm the potential of coded LRS, revealing substantial network load reductions. For instance, with 1000 popular files and 30 users, the coded LRS method exhibited noteworthy improvements over LRU, particularly with increased cache sizes. These findings suggest significant practical implications for network infrastructure efficiency.

Theoretical examination further reveals that under a coded caching framework, severe constraints in the online setup result only in minor efficiency losses compared to offline strategies, an encouraging insight for real-world application where prediction of requests might be infeasible.

Future Directions

This work opens avenues for examining the blended boundaries of computational caching strategies versus storage capabilities. Potential extensions could focus on heterogeneously sized caches or address demand distributions more representative of real-world scenarios. Moreover, the integration of adaptive machine learning models to dynamically determine cache contents based on evolving user behaviors promises a rich field for further exploration.

In conclusion, Pedarsani, Maddah-Ali, and Niesen make a compelling case for coded caching strategies in distributed networked settings, paving the way for both theoretical advancement and practical enhancement in caching technologies.