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We consider the problem of information aggregation in sensor networks, where one is interested in computing a function of the sensor measurements. We allow for block processing and study in-network function computation in directed graphs…

Information Theory · Computer Science 2015-03-19 Hemant Kowshik , P. R. Kumar

We study the fundamental problem of index coding under an additional privacy constraint that requires each receiver to learn nothing more about the collection of messages beyond its demanded messages from the server and what is available to…

Information Theory · Computer Science 2020-06-02 Varun Narayanan , Jithin Ravi , Vivek K. Mishra , Bikash Kumar Dey , Nikhil Karamchandani , Vinod M. Prabhakaran

A problem of index coding with side information was first considered by Y. Birk and T. Kol (IEEE INFOCOM, 1998). In the present work, a generalization of index coding scheme, where transmitted symbols are subject to errors, is studied.…

Information Theory · Computer Science 2011-01-17 Son Hoang Dau , Vitaly Skachek , Yeow Meng Chee

A new coding technique, based on \textit{fixed block-length} codes, is proposed for the problem of communicating a pair of correlated sources over a $2-$user interference channel. Its performance is analyzed to derive a new set of…

Information Theory · Computer Science 2017-02-08 Arun Padakandla

We present a new algorithmic paradigm for the decentralized solution of graph-structured optimization problems that arise in the estimation and control of network systems. A key and novel design concept of the proposed approach is that it…

Optimization and Control · Mathematics 2020-04-01 Sungho Shin , Victor M. Zavala , Mihai Anitescu

The k-pair problem in network coding theory asks to send k messages simultaneously between k source-target pairs over a directed acyclic graph. In a previous paper [ICALP 2009, Part I, pages 622--633] the present authors showed that if a…

Quantum Physics · Physics 2016-05-30 Hirotada Kobayashi , François Le Gall , Harumichi Nishimura , Martin Roetteler

A discrete-time intersymbol interference channel with additive Gaussian noise is considered, where only the receiver has knowledge of the channel impulse response. An approach for combining decision-feedback equalization with channel coding…

Information Theory · Computer Science 2015-03-17 Or Ordentlich , Uri Erez

We present the first optimal algorithm for the classical problem of listing all the cycles in an undirected graph. We exploit their properties so that the total cost is the time taken to read the input graph plus the time to list the…

Data Structures and Algorithms · Computer Science 2012-07-06 Rui Ferreira , Roberto Grossi , Andrea Marino , Nadia Pisanti , Romeo Rizzi , Gustavo Sacomoto

The capacity of caching networks has received considerable attention in the past few years. A particularly studied setting is the case of a single server (e.g., a base station) and multiple users, each of which caches segments of files in a…

Information Theory · Computer Science 2014-10-30 Mingyue Ji , Antonia M. Tulino , Jaime Llorca , Giuseppe Caire

A single unicast index coding problem (SUICP) with symmetric neighboring and consecutive side-information (SNCS) has $K$ messages and $K$ receivers, the $k$th receiver $R_k$ wanting the $k$th message $x_k$ and having the side-information…

Information Theory · Computer Science 2018-01-03 Mahesh Babu Vaddi , B. Sundar Rajan

Index Coding has received considerable attention recently motivated in part by real-world applications and in part by its connection to Network Coding. The basic setting of Index Coding encodes the problem input as an undirected graph and…

Information Theory · Computer Science 2011-07-14 Anna Blasiak , Robert Kleinberg , Eyal Lubetzky

When there exists a malicious attacker in the network, we need to consider the possibilities of eavesdropping and the contamination simultaneously. Under an acyclic broadcast network, the optimality of linear codes was shown when Eve is…

Information Theory · Computer Science 2022-04-26 Masahito Hayashi , Ning Cai

Pliable index coding considers a server with m messages, and n clients where each has as side information a subset of the messages. We seek to minimize the number of transmissions the server should make, so that each client receives (any)…

Information Theory · Computer Science 2016-01-22 Linqi Song , Christina Fragouli

Cycles are fundamental elements in graph-structured data and have demonstrated their effectiveness in enhancing graph learning models. To encode such information into a graph learning framework, prior works often extract a summary quantity,…

Machine Learning · Computer Science 2023-12-01 Zuoyu Yan , Tengfei Ma , Liangcai Gao , Zhi Tang , Chao Chen , Yusu Wang

The two-sender groupcast index coding problem (TGICP) consists of a set of receivers, where all the messages demanded by the set of receivers are distributed among the two senders. The senders can possibly have a set of messages in common.…

Information Theory · Computer Science 2019-05-27 Chinmayananda A. , B. Sundar Rajan

Coded caching is an effective technique to decongest the amount of traffic in the backhaul link. In such a scheme, each file hosted in the server is divided into a number of packets to pursue a low transmission rate based on the delicate…

Information Theory · Computer Science 2022-07-21 Xianzhang Wu , Minquan Cheng , Li Chen , Congduan Li , Zifan Shi

We consider the special case of index coding over the Gaussian broadcast channel where each receiver has prior knowledge of a subset of messages at the transmitter and demands all the messages from the source. We propose a concatenated…

Information Theory · Computer Science 2015-07-02 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

Coded caching scheme provides us an effective framework to realize additional coded multicasting gain by exploiting coding into multiple transmitted signals. The goal of coded caching design is to jointly optimize the placement and delivery…

Information Theory · Computer Science 2019-06-21 Qiaoling Zhang , Lei Zheng , Minquan Cheng , Qingchun Chen

We propose an improved algorithm for counting the number of Hamiltonian cycles in a directed graph. The basic idea of the method is sequential acceptance/rejection, which is successfully used in approximating the number of perfect matchings…

Data Structures and Algorithms · Computer Science 2009-11-23 Jinshan Zhang

For an arbitrary finite family of graphs, the distance labeling problem asks to assign labels to all nodes of every graph in the family in a way that allows one to recover the distance between any two nodes of any graph from their labels.…

Combinatorics · Mathematics 2023-08-30 Arseny M. Shur , Mikhail Rubinchik
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