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We present a novel decoding algorithm for q-ary low-density parity-check codes, termed symbol message passing. The proposed algorithm can be seen as a generalization of Gallager B and the binary message passing algorithm by Lechner et al.…

Information Theory · Computer Science 2019-09-24 Francisco Lázaro , Alexandre Graell i Amat , Gianluigi Liva , Balázs Matuz

We propose a novel scheme that allows MIMO system to modulate a set of permutation matrices to send more information bits, extending our initial work on the topic. This system is called Permutation Matrix Modulation (PMM). The basic idea is…

Information Theory · Computer Science 2022-12-27 Rahmat Faddli Siregar , Nandana Rajatheva , Matti Latva-Aho

This work provides a new multinomial resampling procedure for particle filter resampling, focused on the case where the number of samples required is less than or equal to the size of the underlying discrete distribution. This setting is…

Data Structures and Algorithms · Computer Science 2026-04-03 Andrey A. Popov

In this paper, a Gaussian two-way relay channel, where two source nodes exchange messages with each other through a relay, is considered. We assume that all nodes operate in full-duplex mode and there is no direct channel between the source…

Information Theory · Computer Science 2009-02-17 Wooseok Nam , Sae-Young Chung , Yong H. Lee

So-called improper complex signals have been shown to be beneficial in the single-antenna two-user Gaussian interference channel under the assumptions that all input signals are Gaussian and that we treat interference as noise (TIN). This…

Information Theory · Computer Science 2020-02-06 Christoph Hellings , Wolfgang Utschick

This work considers detecting the presence of a band-limited random radio source using an antenna array featuring a low-complexity digitization process with single-bit output resolution. In contrast to high-resolution analog-to-digital…

Information Theory · Computer Science 2018-02-21 Manuel S. Stein

In this work, we propose variations of a Gaussian mixture model (GMM) based channel estimator that was recently proven to be asymptotically optimal in the minimum mean square error (MMSE) sense. We account for the need of low computational…

Information Theory · Computer Science 2023-06-06 Benedikt Fesl , Michael Joham , Sha Hu , Michael Koller , Nurettin Turan , Wolfgang Utschick

Recent results on source-channel coding for secure transmission show that separation holds in several cases under some less-noisy conditions. However, it has also been proved through a simple counterexample that pure analog schemes can be…

Information Theory · Computer Science 2011-09-06 Joffrey Villard , Pablo Piantanida , Shlomo Shamai

Recent work on weighted model counting has been very successfully applied to the problem of probabilistic inference in Bayesian networks. The probability distribution is encoded into a Boolean normal form and compiled to a target language,…

Artificial Intelligence · Computer Science 2016-10-19 Giso H. Dal , Peter J. F. Lucas

Dasgupta and Shulman showed that a two-round variant of the EM algorithm can learn mixture of Gaussian distributions with near optimal precision with high probability if the Gaussian distributions are well separated and if the dimension is…

Machine Learning · Statistics 2015-01-21 Adrian Barbu , Tianfu Wu , Ying Nian Wu

We generalize probabilistic amplitude shaping (PAS) with binary codes to the case of non-binary codes defined over prime finite fields. Firstly, we introduce probabilistic shaping via time sharing where shaping applies to information…

Information Theory · Computer Science 2017-01-30 Joseph J. Boutros , Fanny Jardel , Cyril Méasson

The performance gain by allowing half-duplex source cooperation is studied for Gaussian interference channels. The source cooperation is {\em in-band}, meaning that each source can listen to the other source's transmission, but there is no…

Information Theory · Computer Science 2014-02-06 Rui Wu , Vinod Prabhakaran , Pramod Viswanath , Yi Wang

Two parties, Alice and Bob, wish to distill a binary secret key out of a list of correlated variables that they share after running a quantum key distribution protocol based on continuous-spectrum quantum carriers. We present a novel…

Cryptography and Security · Computer Science 2007-05-23 G. Van Assche , J. Cardinal , N. J. Cerf

We consider the transmission of a memoryless bivariate Gaussian source over an average-power-constrained one-to-two Gaussian broadcast channel. The transmitter observes the source and describes it to the two receivers by means of an…

Information Theory · Computer Science 2009-03-20 Shraga Bross , Amos Lapidoth , Stephan Tinguely

In this paper, we present a modern version of Gordan's algorithm on binary forms. Symbolic method is reinterpreted in terms of $\mathsf{SL}_2(\mathbb{C})$--equivariant homomorphisms defined upon Cayley operator and polarization operator. A…

Representation Theory · Mathematics 2015-06-22 Marc Olive

We revisit the problem of distribution learning within the framework of learning-augmented algorithms. In this setting, we explore the scenario where a probability distribution is provided as potentially inaccurate advice on the true,…

Machine Learning · Computer Science 2025-02-03 Arnab Bhattacharyya , Davin Choo , Philips George John , Themis Gouleakis

In the two-user Gaussian interference channel with Gaussian inputs and treating interference as noise (TIN), improper complex signals can be beneficial if time-sharing is not allowed or if only the data rates are averaged over several…

Information Theory · Computer Science 2020-12-30 Christoph Hellings , Ferhad Askerbeyli , Wolfgang Utschick

In learned image compression, probabilistic models play an essential role in characterizing the distribution of latent variables. The Gaussian model with mean and scale parameters has been widely used for its simplicity and effectiveness.…

Image and Video Processing · Electrical Eng. & Systems 2025-04-24 Haotian Zhang , Li Li , Dong Liu

Recently developed techniques have made it possible to quickly learn accurate probability density functions from data in low-dimensional continuous space. In particular, mixtures of Gaussians can be fitted to data very quickly using an…

Machine Learning · Computer Science 2013-01-18 Scott Davies , Andrew Moore

We study the power versus distortion trade-off for the distributed transmission of a memoryless bi-variate Gaussian source over a two-to-one average-power limited Gaussian multiple-access channel. In this problem, each of two separate…

Information Theory · Computer Science 2016-11-17 Amos Lapidoth , Stephan Tinguely
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