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Interference alignment (IA) has been shown to achieve the maximum achievable degrees of freedom in the interference channel. This results in sum rate scaling linearly with the number of users in the high signal-to-noise-ratio (SNR) regime.…

Information Theory · Computer Science 2013-04-15 Omar El Ayach , Steven W. Peters , Robert W. Heath

Multiple Description Coding (MDC) is an error-resilient source coding method designed for transmission over noisy channels. We present a novel MDC scheme employing a neural network based on implicit neural representation. This involves…

Image and Video Processing · Electrical Eng. & Systems 2023-08-08 Trung Hieu Le , Xavier Pic , Marc Antonini

The machine learning of lattice operators has three possible bottlenecks. From a statistical standpoint, it is necessary to design a constrained class of operators based on prior information with low bias, and low complexity relative to the…

Machine Learning · Computer Science 2024-06-21 Diego Marcondes , Junior Barrera

We present three algorithms with formal correctness guarantees and complexity bounds for the problem of selecting a diverse, multi-locale set of sources from ranked search results. First, we formulate weighted locale allocation as a…

Data Structures and Algorithms · Computer Science 2026-02-19 Faruk Alpay , Levent Sarioglu

Labeling a training set is often expensive and susceptible to errors, making the design of robust loss functions for label noise an important problem. The symmetry condition provides theoretical guarantees for robustness to such noise. In…

Machine Learning · Computer Science 2026-05-21 Alexandre Lemire Paquin , Brahim Chaib-Draa , Philippe Giguère

We present a constraint-coding scheme to correct asymmetric magnitude-$1$ errors in multi-level non-volatile memories. For large numbers of such errors, the scheme is shown to deliver better correction capability compared to known…

Information Theory · Computer Science 2017-09-12 Evyatar Hemo , Yuval Cassuto

Large artificial intelligence models (LAIMs) are increasingly regarded as a core intelligence engine for embodied AI applications. However, the massive parameter scale and computational demands of LAIMs pose significant challenges for…

Machine Learning · Computer Science 2026-02-16 Zhonghao Lyu , Ming Xiao , Mikael Skoglund , Merouane Debbah , H. Vincent Poor

Whether a system is to be considered complex or not depends on how one searches for correlations. We propose a general scheme for calculation of entropies in lattice systems that has high flexibility in how correlations are successively…

Statistical Mechanics · Physics 2015-06-18 Torbjørn Helvik , Kristian Lindgren

We study the inverse problem of reconstructing spectral functions from Euclidean correlation functions via machine learning. We propose a novel neural network, SVAE, which is based on the variational autoencoder (VAE) and can be naturally…

High Energy Physics - Lattice · Physics 2022-11-23 S. -Y. Chen , H. -T. Ding , F. -Y. Liu , G. Papp , C. -B. Yang

The multiple description (MD) problem has received considerable attention as a model of information transmission over unreliable channels. A general framework for designing efficient multiple description quantization schemes is proposed in…

Information Theory · Computer Science 2016-11-18 Jun Chen , Chao Tian , Toby Berger , Sheila Hemami

Transformer encoders contextualize token representations by attending to all other tokens at each layer, leading to quadratic increase in compute effort with the input length. In practice, however, the input text of many NLP tasks can be…

Computation and Language · Computer Science 2023-06-01 Jeremiah Milbauer , Annie Louis , Mohammad Javad Hosseini , Alex Fabrikant , Donald Metzler , Tal Schuster

Several applications in communication, control, and learning require approximating target distributions to within small informational divergence (I-divergence). The additional requirement of invertibility usually leads to using encoders…

Information Theory · Computer Science 2020-10-22 Patrick Schulte , Rana Ali Amjad , Thomas Wiegart , Gerhard Kramer

The attempt to solve inverse scattering problems often leads to optimization and sampling problems that require handling moderate to large amounts of partial differential equations acting as constraints. We focus here on determining…

Numerical Analysis · Mathematics 2025-04-09 Carolina Abugattas , Ana Carpio , Elena Cebrián , Gerardo Oleaga

The problem of network-constrained averaging is to compute the average of a set of values distributed throughout a graph G using an algorithm that can pass messages only along graph edges. We study this problem in the noisy setting, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-15 Nima Noorshams , Martin Wainwright

This paper is divided in two parts. In the first part, the inverse spectral problem for tight-binding hamiltonians is studied. This problem is shown to have an infinite number of solutions for properly chosen energies. The space of such…

Quantum Physics · Physics 2016-03-30 E. Rivera-Mociños , E. Sadurní

Lattice reduction-aided decoding features reduced decoding complexity and near-optimum performance in multi-input multi-output communications. In this paper, a quantitative analysis of lattice reduction-aided decoding is presented. To this…

Information Theory · Computer Science 2015-10-28 Cong Ling

We propose a novel approach for channel state information (CSI) compression in multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems, where the frequency-domain channel matrix is treated as a…

Signal Processing · Electrical Eng. & Systems 2025-02-28 Bumsu Park , Heedong Do , Namyoon Lee

A simple channel state information (CSI) feedback scheme is proposed for interference alignment (IA) over the K-user constant Multiple-Input-Multiple-Output Interference Channel (MIMO IC). The proposed technique relies on the identification…

Information Theory · Computer Science 2015-02-17 Mohsen Rezaee , Maxime Guillaud

Recent advancements in deep learning-based image compression are notable. However, prevalent schemes that employ a serial context-adaptive entropy model to enhance rate-distortion (R-D) performance are markedly slow. Furthermore, the…

Applications · Statistics 2024-03-25 Haisheng Fu , Feng Liang , Jie Liang , Zhenman Fang , Guohe Zhang , Jingning Han

Lattice reduction algorithms, such as the LLL algorithm, have been proposed as preprocessing tools in order to enhance the performance of suboptimal receivers in MIMO communications. In this paper we introduce a new kind of lattice…

Information Theory · Computer Science 2010-01-12 Laura Luzzi , Ghaya Rekaya-Ben Othman , Jean-Claude Belfiore