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In this paper, fast-decodable lattice code constructions are designed for the nonorthogonal amplify-and-forward (NAF) multiple-input multiple-output (MIMO) channel. The constructions are based on different types of algebraic structures,…

Information Theory · Computer Science 2012-02-28 Camilla Hollanti , Nadya Markin

It is customary to deploy uniform scalar quantization in the end-to-end optimized Neural image compression methods, instead of more powerful vector quantization, due to the high complexity of the latter. Lattice vector quantization (LVQ),…

Image and Video Processing · Electrical Eng. & Systems 2024-11-26 Xi Zhang , Xiaolin Wu

We propose a distributed model predictive control approach for linear time-invariant systems coupled via dynamics. The proposed approach uses the tube MPC concept for robustness to handle the disturbances induced by mutual interactions…

Systems and Control · Computer Science 2016-10-31 Pablo R Baldivieso Monasterios , Bernardo Hernandez , Paul A Trodden

We present a general framework for studying the multilevel structure of lattice network coding (LNC), which serves as the theoretical fundamental for solving the ring-based LNC problem in practice, with greatly reduced decoding complexity.…

Information Theory · Computer Science 2015-11-12 Yi Wang , Alister Burr , Qinhui Huang , Mehdi Molu

Vehicle to Vehicle (V2V) communication phase is an integral part of collaborative message dissemination in vehicular ad-hoc networks (VANETs). In this work, we apply index coding techniques to reduce the number of transmissions required for…

Information Theory · Computer Science 2020-07-02 Jesy Pachat , Nujoom Sageer Karat , Deepthi P. P. , B. Sundar Rajan

The \emph{index coding} problem has recently attracted a significant attention from the research community due to its theoretical significance and applications in wireless ad-hoc networks. An instance of the index coding problem includes a…

Information Theory · Computer Science 2008-10-02 Salim Y. El Rouayheb , Alex Sprintson , Costas N. Georghiades

Visible light communications (VLC) is a promising technology to address the spectrum crunch problem in radio frequency (RF) networks. A major advantage of VLC networks is that they can use the existing lighting infrastructure in indoor…

Information Theory · Computer Science 2017-07-19 Yusuf Said Eroglu , Ismail Guvenc , Alphan Sahin , Yavuz Yapici , Nezih Pala , Murat Yuksel

The problem of designing a multiple description vector quantizer with lattice codebook Lambda is considered. A general solution is given to a labeling problem which plays a crucial role in the design of such quantizers. Numerical…

Combinatorics · Mathematics 2016-11-18 Vinay A. Vaishampayan , N. J. A. Sloane , Sergio D. Servetto

We propose a recursive lattice reduction framework for finding short non-zero vectors or dense sublattices of a lattice. The framework works by recursively searching for dense sublattices of dense sublattices (or their duals) with…

Data Structures and Algorithms · Computer Science 2025-04-22 Divesh Aggarwal , Thomas Espitau , Spencer Peters , Noah Stephens-Davidowitz

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

In this paper, we consider the use of lattice codes over Eisenstein integers for implementing a compute-and-forward protocol in wireless networks when channel state information is not available at the transmitter. We extend the…

Information Theory · Computer Science 2014-10-22 Nihat Engin Tunali , Yu-Chih Huang , Joseph J. Boutros , Krishna R. Narayanan

In this paper we introduce Neural Network Coding(NNC), a data-driven approach to joint source and network coding. In NNC, the encoders at each source and intermediate node, as well as the decoder at each destination node, are neural…

Information Theory · Computer Science 2021-01-12 Litian Liu , Amit Solomon , Salman Salamatian , Muriel Medard

Network Function Virtualization (NFV) prescribes the instantiation of network functions on general-purpose network devices, such as servers and switches. While yielding a more flexible and cost-effective network architecture, NFV is…

Information Theory · Computer Science 2016-11-18 Ali Al-Shuwaili , Osvaldo Simeone , Joerg Kliewer , Petar Popovski

We consider the 2\times 2\times 2 multiple-input multipleoutput interference channel where two source-destination pairs wish to communicate with the aid of two intermediate relays. In this paper, we propose a novel lattice strategy called…

Information Theory · Computer Science 2013-01-29 Song-Nam Hong , Giuseppe Caire

We investigate a lattice-structured LSTM model for Chinese NER, which encodes a sequence of input characters as well as all potential words that match a lexicon. Compared with character-based methods, our model explicitly leverages word and…

Computation and Language · Computer Science 2018-07-06 Yue Zhang , Jie Yang

We propose sandwiching standard image and video codecs between pre- and post-processing neural networks. The networks are jointly trained through a differentiable codec proxy to minimize a given rate-distortion loss. This sandwich…

Image and Video Processing · Electrical Eng. & Systems 2025-02-24 Onur G. Guleryuz , Philip A. Chou , Berivan Isik , Hugues Hoppe , Danhang Tang , Ruofei Du , Jonathan Taylor , Philip Davidson , Sean Fanello

Coded computation is a framework which provides redundancy in distributed computing systems to speed up largescale tasks. Although most existing works assume an error-free scenarios in a master-worker setup, the link failures are common in…

Information Theory · Computer Science 2019-01-14 Dong-Jun Han , Jy-yong Sohn , Jaekyun Moon

Set- and vector-valued optimization problems can be re-formulated as complete lattice-valued problems. This has several advantages, one of which is the existence of a clear-cut solution concept which includes the attainment as the infimum…

Optimization and Control · Mathematics 2020-07-14 Andreas H Hamel , Frank Heyde , Daniela Visetti

The security of lattice-based cryptosystems such as NTRU, GGH and Ajtai-Dwork essentially relies upon the intractability of computing a shortest non-zero lattice vector and a closest lattice vector to a given target vector in high…

Cryptography and Security · Computer Science 2009-04-16 Guillaume Hanrot , Damien Stehlé

In network coding, a flag code is a collection of flags, that is, sequences of nested subspaces of a vector space over a finite field. Due to its definition as the sum of the corresponding subspace distances, the flag distance parameter…

Information Theory · Computer Science 2021-12-01 Clementa Alonso-González , Miguel Ángel Navarro-Pérez