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Coding for distributed storage gives rise to a new set of problems in coding theory related to the need of reducing inter-node communication in the system. A large number of recent papers addressed the problem of optimizing the total amount…

Information Theory · Computer Science 2017-06-02 Itzhak Tamo , Min Ye , Alexander Barg

Network codes designed specifically for distributed storage systems have the potential to provide dramatically higher storage efficiency for the same availability. One main challenge in the design of such codes is the exact repair problem:…

Information Theory · Computer Science 2011-09-02 Dimitris S. Papailiopoulos , Jianqiang Luo , Alexandros G. Dimakis , Cheng Huang , Jin Li

The generation speed of LLMs are bottlenecked by autoregressive decoding, where tokens are predicted sequentially one by one. Alternatively, diffusion large language models (dLLMs) theoretically allow for parallel token generation, but in…

Computation and Language · Computer Science 2025-11-03 Daniel Israel , Guy Van den Broeck , Aditya Grover

Modern spacecraft communication systems rely on concatenated error correction schemes, typically combining convolutional and Reed-Solomon (RS) codes. This paper presents a decoder-side method that uses a machine learning model to estimate…

Information Theory · Computer Science 2025-09-12 Michael Greenwood , Robert Hunter

Distributed storage systems for large clusters typically use replication to provide reliability. Recently, erasure codes have been used to reduce the large storage overhead of three-replicated systems. Reed-Solomon codes are the standard…

Reconstructing large-scale latent networks from observed dynamics is crucial for understanding complex systems. However, the existing methods based on compressive sensing are often rendered infeasible in practice by prohibitive…

Statistics Theory · Mathematics 2025-08-20 Zhaoyu Xing , Wei Zhong

This paper proposes an enhanced list-aided successive cancellation stack (ELSCS) decoding algorithm with adjustable decoding complexity. In addition, a logarithmic likelihood ratio (LLR)-threshold based path extension scheme is designed to…

Information Theory · Computer Science 2019-12-18 Haotian Zheng , Bin Chen , Luis F. Abanto-Leon , Zizheng Cao , Ton Koonen

We derive a lower bound on the amount of information accessed to repair failed nodes within a single rack from any number of helper racks in the rack-aware storage model that allows collective information processing in the nodes that share…

Information Theory · Computer Science 2023-04-19 Jiaojiao Wang , Zitan Chen

Distributed storage systems provide reliable access to data through redundancy spread over individually unreliable nodes. Application scenarios include data centers, peer-to-peer storage systems, and storage in wireless networks. Storing…

Networking and Internet Architecture · Computer Science 2008-03-06 Alexandros G. Dimakis , P. Brighten Godfrey , Yunnan Wu , Martin J. Wainwright , Kannan Ramchandran

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

Erasure coding techniques are getting integrated in networked distributed storage systems as a way to provide fault-tolerance at the cost of less storage overhead than traditional replication. Redundancy is maintained over time through…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-12 Lluis Pamies-Juarez , Frédérique Oggier , Anwitaman Datta

Practical constructions of lossless distributed source codes (for the Slepian-Wolf problem) have been the subject of much investigation in the past decade. In particular, near-capacity achieving code designs based on LDPC codes have been…

Information Theory · Computer Science 2011-06-15 Shizheng Li , Aditya Ramamoorthy

In large scale distributed storage systems (DSS) deployed in cloud computing, correlated failures resulting in simultaneous failure (or, unavailability) of blocks of nodes are common. In such scenarios, the stored data or a content of a…

Information Theory · Computer Science 2017-02-22 Gokhan Calis , O. Ozan Koyluoglu

Large-scale systems with all-flash arrays have become increasingly common in many computing segments. To make such systems resilient, we can adopt erasure coding such as Reed-Solomon (RS) code as an alternative to replication because…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-21 Sungjoon Koh , Jie Zhang , Miryeong Kwon , Jungyeon Yoon , David Donofrio , Nam Sung Kim , Myoungsoo Jung

As consumers are increasingly engaged in social networking and E-commerce activities, businesses grow to rely on Big Data analytics for intelligence, and traditional IT infrastructures continue to migrate to the cloud and edge, these trends…

Networking and Internet Architecture · Computer Science 2020-05-25 Vaneet Aggarwal , Tian Lan

Directory-based protocols have been the de facto solution for maintaining cache coherence in shared-memory parallel systems comprising multi/many cores, where each store instruction is eagerly made globally visible by invalidating the…

Hardware Architecture · Computer Science 2012-10-09 Daofu Liu , Yunji Chen , Qi Guo , Tianshi Chen , Ling Li , Qunfeng Dong , Weiwu Hu

Data availability is critical in distributed storage systems, especially when node failures are prevalent in real life. A key requirement is to minimize the amount of data transferred among nodes when recovering the lost or unavailable data…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-07 Runhui Li , Jian Lin , Patrick P. C. Lee

In large-scale LLM pre-training systems with 100k+ GPUs, failures become the norm rather than the exception, and restart costs can dominate wall-clock training time. However, existing fault-tolerance mechanisms are largely unprepared for…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-29 Jin Lee , Zhonghao Chen , Xuhang He , Robert Underwood , Bogdan Nicolae , Franck Cappello , Xiaoyi Lu , Sheng Di , Zheng Zhang

Maximum distance separable (MDS) codes are widely used in distributed storage, but naively repairing a single failure in an $(n,k)$ MDS code requires downloading the full contents of $k$ surviving nodes. Minimum storage regenerating (MSR)…

Information Theory · Computer Science 2026-05-26 Jing Qiu , Weijun Fang , Shu-Tao Xia , Fang-Wei Fu

Regenerating codes provide an efficient way to recover data at failed nodes in distributed storage systems. It has been shown that regenerating codes can be designed to minimize the per-node storage (called MSR) or minimize the…

Information Theory · Computer Science 2014-06-26 Yunghsiang Han , Hung-Ta Pai , Rong Zheng , Pramod K. Varshney