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Document exchange and error correcting codes are two fundamental problems regarding communications. In the first problem, Alice and Bob each holds a string, and the goal is for Alice to send a short sketch to Bob, so that Bob can recover…

数据结构与算法 · 计算机科学 2019-04-30 Kuan Cheng , Zhengzhong Jin , Xin Li , Ke Wu

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…

信息论 · 计算机科学 2022-08-10 Elod P. Csirmaz , Laszlo Csirmaz

We explore a generalization of set reconciliation, where the goal is to reconcile sets of sets. Alice and Bob each have a parent set consisting of $s$ child sets, each containing at most $h$ elements from a universe of size $u$. They want…

数据结构与算法 · 计算机科学 2018-07-26 Michael Mitzenmacher , Tom Morgan

Data synchronization is a fundamental problem with applications in diverse fields such as cloud storage, genomics, and distributed systems. This paper addresses the challenge of synchronizing two files, one of which is a subsequence of the…

信息论 · 计算机科学 2025-12-09 Haolun , Ni , Lev Tauz , Ryan Gabrys , Lara Dolecek

We give the first communication-optimal document exchange protocol. For any $n$ and $k < n$ our randomized scheme takes any $n$-bit file $F$ and computes a $\Theta(k \log \frac{n}{k})$-bit summary from which one can reconstruct $F$, with…

数据结构与算法 · 计算机科学 2019-09-27 Bernhard Haeupler

We show that in the document exchange problem, where Alice holds $x \in \{0,1\}^n$ and Bob holds $y \in \{0,1\}^n$, Alice can send Bob a message of size $O(K(\log^2 K+\log n))$ bits such that Bob can recover $x$ using the message and his…

数据结构与算法 · 计算机科学 2016-07-15 Djamal Belazzougui , Qin Zhang

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…

信息论 · 计算机科学 2022-11-15 Elod P. Csirmaz , Laszlo Csirmaz

With distributed computing and mobile applications, synchronizing diverging replicas of data structures is a more and more common problem. We use algebraic methods to reason about filesystem operations, and introduce a simplified definition…

分布式、并行与集群计算 · 计算机科学 2018-07-24 Elod Pal Csirmaz

Consider two remote nodes having binary sequences $X$ and $Y$, respectively. $Y$ is an edited version of ${X}$, where the editing involves random deletions, insertions, and substitutions, possibly in bursts. The goal is for the node with…

信息论 · 计算机科学 2015-09-15 Ramji Venkataramanan , Vasuki Narasimha Swamy , Kannan Ramchandran

We consider variations of set reconciliation problems where two parties, Alice and Bob, each hold a set of points in a metric space, and the goal is for Bob to conclude with a set of points that is close to Alice's set of points in a…

数据结构与算法 · 计算机科学 2018-07-26 Michael Mitzenmacher , Tom Morgan

Set reconciliation is a fundamental algorithmic problem that arises in many networking, system, and database applications. In this problem, two large sets A and B of objects (bitcoins, files, records, etc.) are stored respectively at two…

数据库 · 计算机科学 2020-08-18 Long Gong , Ziheng Liu , Liang Liu , Jun Xu , Mitsunori Ogihara , Tong Yang

In this paper, we consider a synchronization problem between nodes $A$ and $B$ that are connected through a two--way communication channel. {Node $A$} contains a binary file $X$ of length $n$ and {node $B$} contains a binary file $Y$ that…

信息论 · 计算机科学 2013-08-22 S. M. Sadegh Tabatabaei Yazdi , Lara Dolecek

Suppose that we have two similar files stored on different computers. We need to send the file from the first computer to the second one trying to minimize the number of bits transmitted. This article presents a survey of results known for…

信息论 · 计算机科学 2011-02-24 Aleksandr Chuklin

In this paper, we initiate a study of a new problem termed function computation on the reconciled data, which generalizes a set reconciliation problem in the literature. Assume a distributed data storage system with two users $A$ and $B$.…

信息论 · 计算机科学 2017-07-11 Ivo Kubjas , Vitaly Skachek

We study two fundamental problems in communication, Document Exchange (DE) and Error Correcting Code (ECC). In the first problem, two parties hold two strings, and one party tries to learn the other party's string through communication. In…

计算复杂性 · 计算机科学 2020-11-17 Kuan Cheng , Xin Li

In this paper we study the data exchange problem where a set of users is interested in gaining access to a common file, but where each has only partial knowledge about it as side-information. Assuming that the file is broken into packets,…

We present a novel divide-and-conquer method for the neural summarization of long documents. Our method exploits the discourse structure of the document and uses sentence similarity to split the problem into an ensemble of smaller…

计算与语言 · 计算机科学 2020-09-24 Alexios Gidiotis , Grigorios Tsoumakas

We study the document exchange problem under multiple substring edits. A substring edit in a string $\mathbf{x}$ occurs when a substring $\mathbf{u}$ of $\mathbf{x}$ is replaced by an arbitrary string $\mathbf{v}$. The lengths of…

信息论 · 计算机科学 2026-01-27 Hrishi Narayanan , Vinayak Ramkumar , Rawad Bitar , Antonia Wachter-Zeh

Methods for fusing document lists that were retrieved in response to a query often utilize the retrieval scores and/or ranks of documents in the lists. We present a novel fusion approach that is based on using, in addition, information…

信息检索 · 计算机科学 2014-01-17 Anna Khudyak Kozorovitsky , Oren Kurland

In this paper, we present a novel neural graph matching approach applied to document comparison. Document comparison is a common task in the legal and financial industries. In some cases, the most important differences may be the addition…

计算机视觉与模式识别 · 计算机科学 2022-11-03 Po-Fang Hsu , Chiching Wei
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