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For high-rate linear systematic maximum distance separable (MDS) codes, most early constructions could initially optimally repair all the systematic nodes but not all the parity nodes. Fortunately, this issue was first solved by Li et al.…

Information Theory · Computer Science 2021-11-09 Jie Li , Xiaohu Tang , Camilla Hollanti

Regenerating codes (RCs) can significantly reduce the repair-bandwidth of distributed storage networks. Initially, the analysis of RCs was based on the assumption that during the repair process, the newcomer does not distinguish (among all…

Information Theory · Computer Science 2016-04-29 Imad Ahmad , Chih-Chun Wang

Safety is a critical concern for the next generation of autonomy that is likely to rely heavily on deep neural networks for perception and control. Formally verifying the safety and robustness of well-trained DNNs and learning-enabled…

Machine Learning · Computer Science 2021-08-10 Xiaodong Yang , Tom Yamaguchi , Hoang-Dung Tran , Bardh Hoxha , Taylor T Johnson , Danil Prokhorov

Fractional repetition (FR) codes are a class of regenerating codes for distributed storage systems with an exact (table-based) repair process that is also uncoded, i.e., upon failure, a node is regenerated by simply downloading packets from…

Information Theory · Computer Science 2016-02-09 Oktay Olmez , Aditya Ramamoorthy

Deep Neural Networks (DNNs) have grown in popularity over the past decade and are now being used in safety-critical domains such as aircraft collision avoidance. This has motivated a large number of techniques for finding unsafe behavior in…

Machine Learning · Computer Science 2021-04-27 Matthew Sotoudeh , Aditya V. Thakur

Reed-Solomon codes have found many applications in practical storage systems, but were until recently considered unsuitable for distributed storage applications due to the widely-held belief that they have poor repair bandwidth. The work of…

Information Theory · Computer Science 2017-05-16 Hoang Dau , Olgica Milenkovic

In this paper, we introduce a model of a single-failure locally recoverable distributed storage system. This model appears to give rise to a problem seemingly dual of the well-studied index coding problem. The relation between the…

Information Theory · Computer Science 2014-03-12 Arya Mazumdar

Modern distributed storage systems apply redundancy coding techniques to stored data. One form of redundancy is based on regenerating codes, which can minimize the repair bandwidth, i.e., the amount of data transferred when repairing a…

Information Theory · Computer Science 2013-01-23 Yuchong Hu , Patrick P. C. Lee , Kenneth W. Shum

The current framework of network utility maximization for distributed rate allocation assumes fixed channel code rates. However, by adapting the physical layer channel coding, different rate-reliability tradeoffs can be achieved on each…

Networking and Internet Architecture · Computer Science 2007-05-23 Jang-Won Lee , Mung Chiang , A. Robert Calderbank

In this paper we study the resilience of peer-to-peer networks to preferential attacks. We define a network model and experiment with three di erent simple repairing algorithms, out of which the so called 2nd neighbor rewiring algorithm is…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gabor Csardi , Maxwell Young , Jennifer Sager , Peter Haga

This paper introduces a new method for safety-aware robot learning, focusing on repairing policies using predictive models. Our method combines behavioral cloning with neural network repair in a two-step supervised learning framework. It…

Robotics · Computer Science 2024-11-08 Keyvan Majd , Geoffrey Clark , Georgios Fainekos , Heni Ben Amor

Caching data files directly on mobile user devices combined with device-to-device (D2D) communications has recently been suggested to improve the capacity of wireless net6works. We investigate the performance of regenerating codes in terms…

Networking and Internet Architecture · Computer Science 2014-11-07 Joonas Pääkkönen , Camilla Hollanti , Olav Tirkkonen

Coded caching is a recently proposed technique for dealing with large scale content distribution over the Internet. As in conventional caching, it leverages the presence of local caches at the end users. However, it considers coding in the…

Information Theory · Computer Science 2016-05-06 Li Tang , Aditya Ramamoorthy

Most modern communication networks include fast rerouting mechanisms, implemented entirely in the data plane, to quickly recover connectivity after link failures. By relying on local failure information only, these data plane mechanisms…

Networking and Internet Architecture · Computer Science 2024-11-27 Gregor Bankhamer , Robert Elsässer , Stefan Schmid

Tree-based data structures are ubiquitous across applications. Therefore, a multitude of different tree implementations exist. However, while these implementations are diverse, they share a tree structure as the underlying data structure.…

Hardware Architecture · Computer Science 2025-01-30 Daniel Biebert , Christian Hakert , Jian-Jia Chen

Distributed storage systems support failures of individual devices by the use of replication or erasure correcting codes. While erasure correcting codes offer a better storage efficiency than replication for similar fault tolerance, they…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-10 Nicolas Le Scouarnec

This paper addresses the problem of constructing MDS codes that enable exact repair of each code block with small repair bandwidth, which refers to the total amount of information flow from the remaining code blocks during the repair…

Information Theory · Computer Science 2017-09-26 Ankit Singh Rawat , Itzhak Tamo , Venkatesan Guruswami , Klim Efremenko

We study the problem of semantic code repair, which can be broadly defined as automatically fixing non-syntactic bugs in source code. The majority of past work in semantic code repair assumed access to unit tests against which candidate…

Artificial Intelligence · Computer Science 2017-10-31 Jacob Devlin , Jonathan Uesato , Rishabh Singh , Pushmeet Kohli

Data storage in Distributed Storage Systems (DSSs) is a multidimensional optimization problem. Using network coding, one wants to provide reliability, scalability, security, reduced storage overhead, reduced bandwidth for repair and minimal…

Information Theory · Computer Science 2016-09-13 Shreyansh A. Prajapati , Manish K. Gupta

Consider the following fundamental question of distributed storage networks: Given any arbitrary $(n,k,d)$ values, whether there exists an intelligent helper selection scheme (assuming unlimited memory and computing power) that can strictly…

Information Theory · Computer Science 2018-08-28 Imad Ahmad , Chih-Chun Wang
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