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We consider the N-user broadcast erasure channel with public feedback and side information. Before the beginning of transmission, each receiver knows a function of the messages of some of the other receivers. This situation arises naturally…

Information Theory · Computer Science 2014-06-16 A. Papadopoulos , L. Georgiadis

Neural Networks accomplish amazing things, but they suffer from computational and memory bottlenecks that restrict their usage. Nowhere can this be better seen than in the mobile space, where specialized hardware is being created just to…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Jon Hoffman

We consider scaling laws for maximal energy efficiency of communicating a message to all the nodes in a wireless network, as the number of nodes in the network becomes large. Two cases of large wireless networks are studied -- dense random…

Information Theory · Computer Science 2009-05-26 Aman Jain , Sanjeev R. Kulkarni , Sergio Verdu

We address the problem of optimizing the throughput of network coded traffic in mobile networks operating in challenging environments where connectivity is intermittent and locally available memory space is limited. Random linear network…

Information Theory · Computer Science 2011-04-19 Gabriel Popa

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

The capacity of a relay channel with inter-symbol interference (ISI) and additive colored Gaussian noise is examined under an input power constraint. Prior results are used to show that the capacity of this channel can be computed by…

Information Theory · Computer Science 2011-03-02 Chiranjib Choudhuri , Urbashi Mitra

This work considers the multiple-access multicast error-correction scenario over a packetized network with $z$ malicious edge adversaries. The network has min-cut $m$ and packets of length $\ell$, and each sink demands all information from…

The increased quantity of data has led to a soaring use of networks to model relationships between different objects, represented as nodes. Since the number of nodes can be particularly large, the network information must be summarised…

Methodology · Statistics 2024-12-03 Rémi Boutin , Pierre Latouche , Charles Bouveyron

The past decade has seen notable advances in our understanding of structured error-correcting codes, particularly binary Reed--Muller (RM) codes. While initial breakthroughs were for erasure channels based on symmetry, extending these…

Information Theory · Computer Science 2025-04-23 Henry D. Pfister , Galen Reeves

Coded recurrent neural networks with three levels of sparsity are introduced. The first level is related to the size of messages, much smaller than the number of available neurons. The second one is provided by a particular coding rule,…

Machine Learning · Computer Science 2011-02-22 Vincent Gripon , Claude Berrou

This paper investigates the first- and second-order maximum achievable rates of codes with/without cost constraints for mixed {channels} whose channel law is characterized by a general mixture of (at most) uncountably many stationary and…

Information Theory · Computer Science 2016-05-09 Hideki Yagi , Te Sun Han , Ryo Nomura

We consider a simple network, where a source and destination node are connected with a line of erasure channels. It is well known that in order to achieve the min-cut capacity, the intermediate nodes are required to process the information.…

Information Theory · Computer Science 2016-11-17 Payam Pakzad , Christina Fragouli , Amin Shokrollahi

In this work, we analyze the capabilities and practical limitations of neural networks (NNs) for sequence-based signal processing which can be seen as an omnipresent property in almost any modern communication systems. In particular, we…

Information Theory · Computer Science 2019-11-22 Daniel Tandler , Sebastian Dörner , Sebastian Cammerer , Stephan ten Brink

While every network node only relays messages in a traditional communication system, the recent network coding (NC) paradigm proposes to implement simple in-network processing with packet combinations in the nodes. NC extends the concept of…

Multimedia · Computer Science 2016-11-15 Enrico Magli , Mea Wang , Pascal Frossard , Athina Markopoulou

Biological neurons exhibit remarkable intelligence: they maintain internal states, communicate selectively with other neurons, and self-organize into complex graphs rather than rigid hierarchical layers. What if artificial intelligence…

Machine Learning · Computer Science 2025-12-01 Antoine Salomon

In index coding, a server broadcasts multiple messages to their respective receivers, each with some side information that can be utilized to reduce the amount of communication from the server. Distributed index coding is an extension of…

Information Theory · Computer Science 2020-04-07 Yucheng Liu , Parastoo Sadeghi , Fatemeh Arbabjolfaei , Young-Han Kim

Bytes form the basis of the digital world and thus are a promising building block for multimodal foundation models. Recently, Byte Language Models (BLMs) have emerged to overcome tokenization, yet the excessive length of bytestreams…

Computation and Language · Computer Science 2025-02-21 Eric Egli , Matteo Manica , Jannis Born

In a single hop broadcast packet erasure network, we demonstrate that it is possible to provide multirate packet delivery outside of what is given by the network min-cut. This is achieved by using a deterministic non-block-based network…

Information Theory · Computer Science 2014-01-06 Amy Fu , Parastoo Sadeghi , Muriel Medard

Within the framework of quantum memory channels we introduce the notion of repeatability of quantum channels. In particular, a quantum channel is called repeatable if there exist a memory device implementing the same channel on each…

Quantum Physics · Physics 2008-12-10 Tomas Rybar , Mário Ziman

Multiple groupcasting over the broadcast channel (BC) is studied. In particular, an inner bound is obtained for the $K$-receiver discrete memoryless (DM) BC for the diamond message set which consists of four groupcast messages: one desired…

Information Theory · Computer Science 2020-11-11 Mohamed Salman , Mahesh K. Varanasi