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We establish lower bounds on the sub-packetization of optimal-access MSR codes in the context of multiple-node failures. These bounds generalize the tight bounds for single-node failure presented by Balaji et al. (IEEE Transactions on…

信息论 · 计算机科学 2025-01-23 Lewen Wang , Zihao Zhang , Sihuang Hu

Uncertainties such as manufacturing tolerances cause performance variations in complex engineering systems, making robust design optimization (RDO) essential. However, simulation-based RDO faces high computational cost for statistical…

最优化与控制 · 数学 2026-02-10 Hyunho Jang , Dongjin Lee

We provide the first approximation quality guarantees for the Cuthull-McKee heuristic for reordering symmetric matrices to have low bandwidth, and we provide an algorithm for reconstructing bounded-bandwidth graphs from distance oracles…

数据结构与算法 · 计算机科学 2025-07-10 David Eppstein , Michael T. Goodrich , Songyu Liu

We consider the design of regenerating codes for distributed storage systems that enjoy the property of local, exact and uncoded repair, i.e., (a) upon failure, a node can be regenerated by simply downloading packets from the surviving…

信息论 · 计算机科学 2013-05-27 Oktay Olmez , Aditya Ramamoorthy

Codes for storage systems aim to minimize the repair locality, which is the number of disks (or nodes) that participate in the repair of a single failed disk. Simultaneously, the code must sustain a high rate, operate on a small finite…

信息论 · 计算机科学 2016-09-29 Sreechakra Goparaju , Robert Calderbank

Maximum distance separable (MDS) codes are widely used in storage systems to protect against disk (node) failures. A node is said to have capacity $l$ over some field $\mathbb{F}$, if it can store that amount of symbols of the field. An…

信息论 · 计算机科学 2016-11-17 Itzhak Tamo , Zhiying Wang , Jehoshua Bruck

Motivated by the application of Reed-Solomon codes to recently emerging decentralized storage systems such as Storj and Filebase/Sia, we study the problem of designing compact repair groups for recovering multiple failures in a…

信息论 · 计算机科学 2023-05-12 Thi Xinh Dinh , Serdar Boztas , Son Hoang Dau , Emanuele Viterbo

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…

信息论 · 计算机科学 2018-08-28 Imad Ahmad , Chih-Chun Wang

In this paper, we propose a new design framework on Device-to-Device (D2D) coded caching networks with optimal rate but significantly less file subpacketizations compared to that of the well-known D2D coded caching scheme proposed by Ji,…

信息论 · 计算机科学 2020-04-15 Xiang Zhang , Mingyue Ji

We introduce the Fixed Cluster Repair System (FCRS) as a novel architecture for Distributed Storage Systems (DSS), achieving a small repair bandwidth while guaranteeing a high availability. Specifically we partition the set of servers in a…

信息论 · 计算机科学 2019-03-06 Saeid Sahraei , Michael Gastpar

We propose new repair schemes for Reed-Solomon codes that use subspace polynomials and hence generalize previous works in the literature that employ trace polynomials. The Reed-Solomon codes are over $\mathbb{F}_{q^\ell}$ and have…

信息论 · 计算机科学 2020-07-31 Hoang Dau , Dinh Thi Xinh , Han Mao Kiah , Tran Thi Luong , Olgica Milenkovic

We study a generalization of the setting of regenerating codes, motivated by applications to storage systems consisting of clusters of storage nodes. There are $n$ clusters in total, with $m$ nodes per cluster. A data file is coded and…

信息论 · 计算机科学 2018-08-07 N. Prakash , Vitaly Abdrashitov , Muriel Medard

Maximum distance separable (MDS) codes are optimal error-correcting codes in the sense that they provide the maximum failure-tolerance for a given number of parity nodes. Suppose that an MDS code with $k$ information nodes and $r=n-k$…

信息论 · 计算机科学 2016-04-11 Min Ye , Alexander Barg

MDS array codes are widely used in storage systems due to their computationally efficient encoding and decoding procedures. An MDS code with $r$ redundancy nodes can correct any $r$ node erasures by accessing all the remaining information…

信息论 · 计算机科学 2016-03-04 Zhiying Wang , Itzhak Tamo , Jehoshua Bruck

Low-rank plus diagonal (LRPD) decompositions provide a powerful structural model for large covariance matrices, simultaneously capturing global shared factors and localized corrections that arise in covariance estimation, factor analysis,…

数值分析 · 数学 2025-12-22 Kingsley Yeon , Mihai Anitescu

We consider various {\em multi-vehicle versions of the minimum latency problem}. There is a fleet of $k$ vehicles located at one or more depot nodes, and we seek a collection of routes for these vehicles that visit all nodes so as to…

数据结构与算法 · 计算机科学 2014-11-18 Ian Post , Chaitanya Swamy

In offline model-based optimization, we strive to maximize a black-box objective function by only leveraging a static dataset of designs and their scores. This problem setting arises in numerous fields including the design of materials,…

计算工程、金融与科学 · 计算机科学 2023-03-07 Can Chen , Yingxue Zhang , Jie Fu , Xue Liu , Mark Coates

The problem of exact repair of a failed node in multi-hop networked distributed storage systems is considered. Contrary to the most of the current studies which model the repair process by the direct links from surviving nodes to the new…

信息论 · 计算机科学 2014-01-14 Majid Gerami , Ming Xiao

We propose a new \textit{randomized Bregman (block) coordinate descent} (RBCD) method for minimizing a composite problem, where the objective function could be either convex or nonconvex, and the smooth part are freed from the global…

最优化与控制 · 数学 2020-01-16 Tianxiang Gao , Songtao Lu , Jia Liu , Chris Chu

Reliability is essential for storing files in many applications of distributed storage systems. To maintain reliability, when a storage node fails, a new node should be regenerated by a repair process. Most of the previous results on the…

信息论 · 计算机科学 2014-05-16 Majid Gerami , Ming Xiao , Jun Li , Carlo Fischione , Zihuai Lin