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Data reconciliation in general, and filesystem synchronization in particular, lacks rigorous theoretical foundation. This paper presents, for the first time, a complete analysis of synchronization for two replicas of a theoretical…

Information Theory · Computer Science 2022-11-15 Elod P. Csirmaz , Laszlo Csirmaz

In this paper we present a deterministic parallel algorithm solving the multiple selection problem in congested clique model. In this problem for given set of elements S and a set of ranks $K = \{k_1 , k_2 , ..., k_r \}$ we are asking for…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-21 Krzysztof Nowicki

This paper proposes a random network model for blockchains, a distributed hierarchical data structure of blocks that has found several applications in various industries. The model is parametric on two probability distribution functions…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-17 Carlos Pinzón , Camilo Rocha , Jorge Finke

We consider the problem of constructing codes that can correct $\delta$ deletions occurring in an arbitrary binary string of length $n$ bits. Varshamov-Tenengolts (VT) codes, dating back to 1965, are zero-error single deletion $(\delta=1)$…

Information Theory · Computer Science 2018-05-25 Serge Kas Hanna , Salim El Rouayheb

With distributed computing and mobile applications becoming ever more prevalent, synchronizing diverging replicas of the same data is a common problem. Reconciliation -- bringing two replicas of the same data structure as close as possible…

Information Theory · Computer Science 2022-08-10 Elod P. Csirmaz , Laszlo Csirmaz

In this paper we improve the approximation ratio for the problem of scheduling packets on line networks with bounded buffers, where the aim is that of maximizing the throughput. Each node in the network has a local buffer of bounded size…

Data Structures and Algorithms · Computer Science 2020-09-30 Guy Even , Moti Medina , Adi Rosén

We consider the problem of communicating over a channel that randomly "tears" the message block into small pieces of different sizes and shuffles them. For the binary torn-paper channel with block length $n$ and pieces of length ${\rm…

Information Theory · Computer Science 2020-05-27 Ilan Shomorony , Alireza Vahid

We conduct a first fundamental analysis of the working principles of binary differential evolution (BDE), an optimization heuristic for binary decision variables that was derived by Gong and Tuson (2007) from the very successful classic…

Neural and Evolutionary Computing · Computer Science 2019-11-06 Benjamin Doerr , Weijie Zheng

The binary symmetric stochastic block model deals with a random graph of $n$ vertices partitioned into two equal-sized clusters, such that each pair of vertices is connected independently with probability $p$ within clusters and $q$ across…

Machine Learning · Statistics 2016-01-07 Bruce Hajek , Yihong Wu , Jiaming Xu

We consider the problem of learning classifiers for labeled data that has been distributed across several nodes. Our goal is to find a single classifier, with small approximation error, across all datasets while minimizing the communication…

Machine Learning · Statistics 2012-03-06 Hal Daume , Jeff M. Phillips , Avishek Saha , Suresh Venkatasubramanian

Broadcast is one of the fundamental network communication primitives. One node of a network, called the $\mathit{source}$, has a message that has to be learned by all other nodes. We consider the feasibility of deterministic broadcast in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-06 Faith Ellen , Barun Gorain , Avery Miller , Andrzej Pelc

Given two point sets $R$ and $B$ in the plane, with cardinalities $m$ and $n$, respectively, and each set stored in a separate R-tree, we present an algorithm to decide whether $R$ and $B$ are linearly separable. Our algorithm exploits the…

Data Structures and Algorithms · Computer Science 2016-02-16 Gilberto Gutiérrez , Pablo Pérez-Lantero , Claudio Torres

We consider the multi-broadcast problem in arbitrary connected radio networks consisting of $n$ nodes. There are $k$ designated source nodes for some fixed $k \in \{1,\ldots,n\}$, and each source node has a distinct piece of information…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-20 Colin Krisko , Avery Miller

A long-standing open question in information theory is to characterize the unicast capacity of a wireless relay network. The difficulty arises due to the complex signal interactions induced in the network, since the wireless channel…

Data Structures and Algorithms · Computer Science 2009-09-29 Javad Ebrahimi , Christina Fragouli

Achieving agreement among distributed parties is a fundamental task in modern systems, underpinning applications such as consensus in blockchains, coordination in cloud infrastructure, and fault tolerance in critical services. However, this…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-18 Andrei Constantinescu , Marc Dufay , Anton Paramonov , Roger Wattenhofer

We present a key-exchange protocol that comprises two parties with chaotic dynamics that are mutually coupled and undergo a synchronization process, at the end of which they can use their identical dynamical state as an encryption key. The…

Other Condensed Matter · Physics 2009-11-10 Einat Klein , Rachel Mislovaty , Ido Kanter , Wolfgang Kinzel

We consider the problem of constructing binary codes to recover from $k$-bit deletions with efficient encoding/decoding, for a fixed $k$. The single deletion case is well understood, with the Varshamov-Tenengolts-Levenshtein code from 1965…

Information Theory · Computer Science 2019-05-21 Joshua Brakensiek , Venkatesan Guruswami , Samuel Zbarsky

In this paper, we study the problem of relaying a single bit over a tandem of binary-input channels, with the goal of attaining the highest possible error exponent in the exponentially decaying error probability. Our previous work gave an…

Information Theory · Computer Science 2024-06-07 Yan Hao Ling , Jonathan Scarlett

Distributed storage systems introduce redundancy to protect data from node failures. After a storage node fails, the lost data should be regenerated at a replacement storage node as soon as possible to maintain the same level of redundancy.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-19 Qingyuan Gong , Jiaqi Wang , Yan Wang , Dongsheng Wei , Jin Wang , Xin Wang

This paper studies the optimization of zero-delay analog mappings in a network setting that involves distributed coding. The cost surface is known to be non-convex, and known greedy methods tend to get trapped in poor locally optimal…

Information Theory · Computer Science 2013-12-04 Mustafa S. Mehmetoglu , Emrah Akyol , Kenneth Rose
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