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We consider a distributed computing system in which a master node coordinates $N$ workers to evaluate a function over $n$ input files, where this function accepts general decomposition. In particular, we focus on the general case where the…

Information Theory · Computer Science 2026-04-21 Javad Maheri , K. K. Krishnan Namboodiri , Petros Elia

Grid-based storage systems with uniformly shaped loads (e.g., containers, pallets, totes) are commonplace in logistics, industrial, and transportation domains. A key performance metric for such systems is the maximization of space…

Robotics · Computer Science 2025-05-29 Tzvika Geft , Kostas Bekris , Jingjin Yu

A partial Steiner triple system of order $u$ is a pair $(U,\mathcal{A})$ where $U$ is a set of $u$ elements and $\mathcal{A}$ is a set of triples of elements of $U$ such that any two elements of $U$ occur together in at most one triple. If…

Combinatorics · Mathematics 2020-03-12 Darryn Bryant , Ajani De Vas Gunasekara , Daniel Horsley

Symmetric tensor operations arise in a wide variety of computations. However, the benefits of exploiting symmetry in order to reduce storage and computation is in conflict with a desire to simplify memory access patterns. In this paper, we…

Numerical Analysis · Mathematics 2014-10-21 Martin D. Schatz , Tze Meng Low , Robert A. van de Geijn , Tamara G. Kolda

Parity declustering allows faster reconstruction of a disk array when some disk fails. Moreover, it guarantees uniform reconstruction workload on all surviving disks. It has been shown that parity declustering for one-failure tolerant array…

Information Theory · Computer Science 2013-03-18 Son Hoang Dau , Yan Jia , Chao Jin , Weiya Xi , Kheong Sann Chan

This paper describes a non-homogeneous distributed storage systems (DSS), where there is one super node which has a larger storage size and higher reliability and availability than the other storage nodes. We propose three distributed…

Information Theory · Computer Science 2012-08-13 Vo Tam Van , Chau Yuen , Jing Li

In distributed storage systems that employ erasure coding, the issue of minimizing the total {\it repair bandwidth} required to exactly regenerate a storage node after a failure arises. This repair bandwidth depends on the structure of the…

Information Theory · Computer Science 2011-06-10 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

We introduce a neighborhood-based data access model for distributed coded storage allocation. Storage nodes are connected in a generic network and data is accessed locally: a user accesses a randomly chosen storage node, which subsequently…

Information Theory · Computer Science 2014-11-12 Dusan Jakovetic , Aleksandar Minja , Dragana Bajovic , Dejan Vukobratovic

Linux containers have gained high popularity in recent times. This popularity is significantly due to various advantages of containers over Virtual Machines (VM). The containers are lightweight, occupy lesser storage, have fast boot-up…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-21 Akshay Dhumal , Dharanipragada Janakiram

Index structures are important for efficient data access, which have been widely used to improve the performance in many in-memory systems. Due to high in-memory overheads, traditional index structures become difficult to process the…

Databases · Computer Science 2019-05-16 Pengfei Li , Yu Hua , Pengfei Zuo , Jingnan Jia

Design matrices are sparse matrices in which the supports of different columns intersect in a few positions. Such matrices come up naturally when studying problems involving point sets with many collinear triples. In this work we consider…

Combinatorics · Mathematics 2018-03-13 Zeev Dvir , Ankit Garg , Rafael Oliveira , József Solymosi

We study a scenario in which multiple uncoordinated devices aim to achieve reliable transmissions within a given time frame. The devices are intermittently active and access a shared pool of channel resources in a grant-free manner by…

Information Theory · Computer Science 2024-04-19 Radosław Kotaba , Roope Vehkalahti , Čedomir Stefanović , Olav Tirkkonen , Petar Popovski

In this paper, we study distributed storage problems over unidirectional ring networks. A lower bound on the reconstructing bandwidth to recover total original data for each user is proposed, and it is achievable for arbitrary parameters.…

Information Theory · Computer Science 2014-01-22 Jiyong Lu , Xuan Guang , Fang-Wei Fu

Network based on distributed caching of content is a new architecture to alleviate the ongoing explosive demands for rate of multi-media traffic. In caching networks, coded caching is a recently proposed technique that achieves significant…

Information Theory · Computer Science 2017-10-16 Qifa Yan , Xiaohu Tang , Qingchun Chen

A new system model reflecting the clustered structure of distributed storage is suggested to investigate interplay between storage overhead and repair bandwidth as storage node failures occur. Large data centers with multiple racks/disks or…

Information Theory · Computer Science 2018-05-02 Jy-yong Sohn , Beongjun Choi , Sung Whan Yoon , Jaekyun Moon

String sorting is an important part of tasks such as building index data structures. Unfortunately, current string sorting algorithms do not scale to massively parallel distributed-memory machines since they either have latency (at least)…

Data Structures and Algorithms · Computer Science 2024-04-26 Florian Kurpicz , Pascal Mehnert , Peter Sanders , Matthias Schimek

A new system model reflecting the clustered structure of distributed storage is suggested to investigate bandwidth requirements for repairing failed storage nodes. Large data centers with multiple racks/disks or local networks of storage…

Information Theory · Computer Science 2017-02-14 Jy-yong Sohn , Beongjun Choi , Sung Whan Yoon , Jaekyun Moon

Stochastic programming can be applied to consider uncertainties in energy system optimization models for capacity expansion planning. However, these models become increasingly large and time-consuming to solve, even without considering…

Optimization and Control · Mathematics 2025-08-15 Shima Sasanpour , Manuel Wetzel , Karl-Kiên Cao , Hans Christian Gils , Andrés Ramos

Balanced graph partitioning is a critical step for many large-scale distributed computations with relational data. As graph datasets have grown in size and density, a range of highly-scalable balanced partitioning algorithms have appeared…

Social and Information Networks · Computer Science 2020-07-08 Amel Awadelkarim , Johan Ugander

Distributed storage systems based on equidistant constant dimension codes are presented. These equidistant codes are based on the Pl\"{u}cker embedding, which is essential in the repair and the reconstruction algorithms. These systems…

Information Theory · Computer Science 2014-06-25 Netanel Raviv , Tuvi Etzion