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Stability is crucial in matching markets, yet in many real-world settings - from hospital residency allocations to roommate assignments - full stability is either impossible to achieve or can come at the cost of leaving many agents…

Computer Science and Game Theory · Computer Science 2026-01-21 Frederik Glitzner , David Manlove

As the size of modern data sets exceeds the disk and memory capacities of a single computer, machine learning practitioners have resorted to parallel and distributed computing. Given that optimization is one of the pillars of machine…

Machine Learning · Statistics 2017-04-18 Alexandros Nathan , Diego Klabjan

We study the problem of fairly allocating indivisible goods when limited sharing is allowed, that is, each good may be allocated to up to $k$ agents, while incurring a cost for sharing. While classic maximin share (MMS) allocations may not…

Computer Science and Game Theory · Computer Science 2026-03-05 Hana Salavcova , Martin Černý , Arpita Biswas

Erasure codes are being increasingly used in distributed-storage systems in place of data-replication, since they provide the same level of reliability with much lower storage overhead. We consider the problem of constructing explicit…

Information Theory · Computer Science 2015-09-08 Preetum Nakkiran , K. V. Rashmi , Kannan Ramchandran

Batch codes, introduced by Ishai, Kushilevitz, Ostrovsky and Sahai in [1], are methods for solving the following data storage problem: n data items are to be stored in m servers in such a way that any k of the n items can be retrieved by…

Discrete Mathematics · Computer Science 2011-02-25 Srimanta Bhattacharya , Sushmita Ruj , Bimal Roy

Coded multicasting has been shown to improve the caching performance of content delivery networks with multiple caches downstream of a common multicast link. However, the schemes that have been shown to achieve order-optimal perfor- mance…

Information Theory · Computer Science 2015-11-25 Mingyue Ji , Karthikeyan Shanmugam , Giuseppe Vettigli , Jaime Llorca , Antonia M. Tulino , Giuseppe Caire

Distributed storage systems must handle both data heterogeneity, arising from non-uniform access demands, and device heterogeneity, caused by time-varying node reliability. In this paper, we study convertible codes, which enable the…

Information Theory · Computer Science 2026-01-16 Anina Gruica , Benjamin Jany , Stanislav Kruglik

Distributed storage codes have important applications in the design of modern storage systems. In a distributed storage system, every storage node has a probability to fail and once an individual storage node fails, it must be reconstructed…

Information Theory · Computer Science 2016-10-27 Chong Shangguan , Gennian Ge

The Belief Propagation approximation, or cavity method, has been recently applied to several combinatorial optimization problems in its zero-temperature implementation, the max-sum algorithm. In particular, recent developments to solve the…

Data Structures and Algorithms · Computer Science 2019-01-04 Alfredo Braunstein , Anna Paola Muntoni

Compute-in-memory (CIM) accelerators using non-volatile memory (NVM) devices offer promising solutions for energy-efficient and low-latency Deep Neural Network (DNN) inference execution. However, practical deployment is often hindered by…

Hardware Architecture · Computer Science 2024-08-23 Yifan Qin , Zheyu Yan , Zixuan Pan , Wujie Wen , Xiaobo Sharon Hu , Yiyu Shi

Distributed storage systems suffer from significant repair traffic generated due to frequent storage node failures. This paper shows that properly designed low-density parity-check (LDPC) codes can substantially reduce the amount of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-17 Hyegyeong Park , Dongwon Lee , Jaekyun Moon

In a distributed storage systems (DSS) with $k$ systematic nodes, robustness against node failure is commonly provided by storing redundancy in a number of other nodes and performing repair mechanism to reproduce the content of the failed…

Information Theory · Computer Science 2018-01-01 Kaveh Mahdaviani , Soheil Mohajer , Ashish Khisti

In this paper we present and evaluate a parallel algorithm for solving a minimum spanning tree (MST) problem for supercomputers with distributed memory. The algorithm relies on the relaxation of the message processing order requirement for…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-18 Artem Mazeev , Alexander Semenov , Alexey Simonov

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

Maximum-distance separable (MDS) array codes with high rate and an optimal repair property were introduced recently. These codes could be applied in distributed storage systems, where they minimize the communication and disk access required…

Information Theory · Computer Science 2013-02-19 Eyal En Gad , Robert Mateescu , Filip Blagojevic , Cyril Guyot , Zvonimir Bandic

Distributionally balanced sampling designs are low-discrepancy probability designs obtained by minimizing the expected discrepancy between the auxiliary-variable distribution of a random sample and the target population distribution.…

Methodology · Statistics 2026-03-26 Anton Grafström , Wilmer Prentius

In this paper we present a block coded modulation scheme for a 2 x 2 MIMO system over slow fading channels, where the inner code is the Golden Code. The scheme is based on a set partitioning of the Golden Code using two-sided ideals whose…

Information Theory · Computer Science 2008-05-30 L. Luzzi , G. Rekaya-Ben Othman , J. -C. Belfiore , E. Viterbo

This article presents a powerful algorithmic framework for big data optimization, called the Block Successive Upper bound Minimization (BSUM). The BSUM includes as special cases many well-known methods for analyzing massive data sets, such…

Optimization and Control · Mathematics 2015-11-10 Mingyi Hong , Meisam Razaviyayn , Zhi-Quan Luo , Jong-Shi Pang

This paper introduces OPTIMUM-DERAM, a highly consistent, scalable, secure, and decentralized shared memory solution. Traditional distributed shared memory implementations offer multi-object support by multi-threading a single object memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Nicolas Nicolaou , Kishori M. Konwar , Moritz Grundei , Aleksandr Bezobchuk , Muriel Médard , Sriram Vishwanath

This paper introduces an exact algorithm for the construction of a shortest curvature-constrained network interconnecting a given set of directed points in the plane and an iterative method for doing so in 3D space. Such a network will be…