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The construction of a cost minimal network for flows obeying physical laws is an important problem for the design of electricity, water, hydrogen, and natural gas infrastructures. We formulate this problem as a mixed-integer non-linear…

Optimization and Control · Mathematics 2025-03-31 Pascal Börner , Max Klimm , Annette Lutz , Marc E. Pfetsch , Martin Skutella , Lea Strubberg

The encoding complexity of network coding for single multicast networks has been intensively studied from several aspects: e.g., the time complexity, the required number of encoding links, and the required field size for a linear code…

Information Theory · Computer Science 2013-04-22 Wentu Song , Kai Cai , Rongquan Feng , Chau Yuen

With the tremendous increase of the Internet traffic, achieving the best performance with limited resources is becoming an extremely urgent problem. In order to address this concern, in this paper, we build an optimization problem which…

Physics and Society · Physics 2017-02-23 Li Rui , Xia Yongxiang , Tse K Chi

Motivated by the prevalence of environments in which data is abundant while resources for storage and/or transmission might be scarce, we study linear regression when predictors, their squares, and responses are subject to single-bit…

Statistics Theory · Mathematics 2026-04-01 Daniel Hill , Martin Slawski

The goal of this paper is to obtain a better knowledge of the achievable data rate over noncoherent Rician fading channel with time and frequency memory. We assume that the average-power as well as the peak-power of the input signal are…

Information Theory · Computer Science 2012-07-13 Jean-Michel Passerieux , Francois-Xavier Socheleau , Christophe Laot

This paper proposes an encoding/decoding framework for achieving the optimal channel capacities of the two-user broadcast channel where each user (receiver) has the message targeted for the other user (receiver) as side information. Since…

Information Theory · Computer Science 2016-05-02 Taotao Wang , Soung Chang Liew , Long Shi

The paper establishes the capacity region of the Gaussian interference channel with many transmitter-receiver pairs constrained to use point-to-point codes. The capacity region is shown to be strictly larger in general than the achievable…

Information Theory · Computer Science 2011-02-15 Francois Baccelli , Abbas El Gamal , David Tse

This paper considers a multiple input multiple output (MIMO) two-way relay channel, where two nodes want to exchange data with each other using multiple relays. An iterative algorithm is proposed to achieve the optimal achievable rate…

Information Theory · Computer Science 2008-10-22 Rahul Vaze , Robert W. Heath

We define a class of multi--hop erasure networks that approximates a wireless multi--hop network. The network carries unicast flows for multiple users, and each information packet within a flow is required to be decoded at the flow…

Information Theory · Computer Science 2015-03-19 Premkumar Karumbu , Xiaomin Chen , Douglas J. Leith

We derive the capacity region of arbitrarily varying multiple-access channels with conferencing encoders for both deterministic and random coding. For a complete description it is sufficient that one conferencing capacity is positive. We…

Information Theory · Computer Science 2012-11-21 Moritz Wiese , Holger Boche

We consider the cascade and triangular rate-distortion problem where side information is known to the source encoder and to the first user but not to the second user. We characterize the rate-distortion region for these problems. For the…

Information Theory · Computer Science 2010-01-12 Haim Permuter , Tsachy Weissman

In this paper, a lower bound on the capacity of wireless ad hoc erasure networks is derived in closed form in the canonical case where $n$ nodes are uniformly and independently distributed in the unit area square. The bound holds almost…

Information Theory · Computer Science 2009-01-15 Rayyan G. Jaber , Jeffrey G. Andrews

In multi user Gaussian relay networks, it is desirable to transmit private information to each user as well as common information to all of them. However, the capacity region of such networks with both kinds of information is not easy to…

Information Theory · Computer Science 2018-01-16 Mohamed S. Ibrahim , Mohammed Nafie , Yahya Mohasseb

We consider the energy savings that can be obtained by employing network coding instead of plain routing in wireless multiple unicast problems. We establish lower bounds on the benefit of network coding, defined as the maximum of the ratio…

Information Theory · Computer Science 2011-08-19 Jasper Goseling , Ruytaroh Matsumoto , Tomohiko Uyematsu , Jos H. Weber

The two-user broadcast channel (BC) with receivers connected by bidirectional cooperation links of finite capacities, known as conferencing decoders, is considered. A novel capacity region outer bound is established based on multiple…

Information Theory · Computer Science 2025-08-12 Reza K. Farsani , Wei Yu

The following \textit{network computing} problem is considered. Source nodes in a directed acyclic network generate independent messages and a single receiver node computes a target function $f$ of the messages. The objective is to maximize…

Information Theory · Computer Science 2016-11-18 Rathinakumar Appuswamy , Massimo Franceschetti , Nikhil Karamchandani , Ken Zeger

We consider a lossy multicast network in which the reliability is provided by means of Random Linear Network Coding. Our goal is to characterise the performance of such network in terms of the probability that a source message is delivered…

Information Theory · Computer Science 2018-02-01 Evgeny Tsimbalo , Andrea Tassi , Robert J. Piechocki

One of the fundamental challenges in the design of distributed wireless networks is the large dynamic range of network state. Since continuous tracking of global network state at all nodes is practically impossible, nodes can only acquire…

Information Theory · Computer Science 2017-04-18 Alireza Vahid , Vaneet Aggarwal , A. Salman Avestimehr , Ashutosh Sabharwal

We study the capacity region of a deterministic 4-node network, where 3 nodes can only communicate via the fourth one. However, the fourth node is not merely a relay since it can exchange private messages with all other nodes. This…

Information Theory · Computer Science 2013-08-09 Ahmed A. Zewail , Y. Mohasseb , M. Nafie , H. EL Gamal

In this paper, we study the state-dependent two-user interference channel, where the state information is non-causally known at both transmitters but unknown to either of the receivers. We propose two coding schemes for the discrete…

Information Theory · Computer Science 2010-06-29 Lili Zhang , Jinhua Jiang , Shuguang Cui