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We study asymptotic properties of expectation propagation (EP) -- a method for approximate inference originally developed in the field of machine learning. Applied to generalized linear models, EP iteratively computes a multivariate…

Information Theory · Computer Science 2018-05-11 Burak Çakmak , Manfred Opper

Mixed-effects regression models represent a useful subclass of regression models for grouped data; the introduction of random effects allows for the correlation between observations within each group to be conveniently captured when…

Methodology · Statistics 2024-09-25 Jackson Zhou , John T. Ormerod , Clara Grazian

This paper describes an expectation propagation (EP) method for multi-class classification with Gaussian processes that scales well to very large datasets. In such a method the estimate of the log-marginal-likelihood involves a sum across…

Machine Learning · Statistics 2017-06-23 Carlos Villacampa-Calvo , Daniel Hernández-Lobato

Expectation propagation (EP) is a powerful approximate inference algorithm. However, a critical barrier in applying EP is that the moment matching in message updates can be intractable. Handcrafting approximations is usually tricky, and…

Machine Learning · Statistics 2019-11-11 Zheng Wang , Shandian Zhe

Deep neural networks (NNs) are considered a powerful tool for balancing the performance and complexity of multiple-input multiple-output (MIMO) receivers due to their accurate feature extraction, high parallelism, and excellent inference…

Information Theory · Computer Science 2024-10-28 Xingyu Zhou , Jing Zhang , Chao-Kai Wen , Shi Jin , Shuangfeng Han

Grant-free cell-free massive multiple-input multiple-output (GF-CF-MaMIMO) systems are anticipated to be a key enabling technology for next-generation Internet-of-Things (IoT) networks, as they support massive connectivity without explicit…

Information Theory · Computer Science 2026-01-08 Christian Forsch , Laura Cottatellucci

Expectation Propagation (EP) is a widely used message-passing algorithm that decomposes a global inference problem into multiple local ones. It approximates marginal distributions (beliefs) using intermediate functions (messages). While…

Information Theory · Computer Science 2026-01-30 Zilu Zhao , Fangqing Xiao , Dirk Slock

We investigate the problem of approximate Bayesian inference for a general class of observation models by means of the expectation propagation (EP) framework for large systems under some statistical assumptions. Our approach tries to…

Information Theory · Computer Science 2016-08-24 Burak Çakmak , Manfred Opper , Bernard H. Fleury , Ole Winther

Bayesian inference is a popular method to build learning algorithms but it is hampered by the fact that its key object, the posterior probability distribution, is often uncomputable. Expectation Propagation (EP) (Minka (2001)) is a popular…

Machine Learning · Statistics 2016-12-16 Guillaume P. Dehaene

Channel estimation is essential to massive multiple-input multiple-output (MIMO) systems. While recent generative model-based approaches using lightweight diffusion models (DMs) have achieved superior performance, they typically rely on a…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Zhuorui Jiang , Jun Fang , Boyu Ning , Hongbin Li , Ying-Chang Liang

This paper presents a dual-domain low-complexity expectation propagation (EP) detection framework for affine frequency division multiplexing (AFDM) systems. By analyzing the structural properties of the effective channel matrices in both…

Signal Processing · Electrical Eng. & Systems 2026-04-01 Qin Yi , Ping Yang , Zilong Liu , Zeping Sui , Yue Xiao , Gang Wu

We study iterative blind symbol detection for block-fading linear inter-symbol interference channels. Based on the factor graph framework, we design a joint channel estimation and detection scheme that combines the expectation maximization…

Information Theory · Computer Science 2024-08-06 Luca Schmid , Tomer Raviv , Nir Shlezinger , Laurent Schmalen

We consider the uplink of a grant-free cell-free massive multiple-input multiple-output (GF-CF-MaMIMO) system. We propose an algorithm for distributed joint activity detection, channel estimation, and data detection (JACD) based on…

Information Theory · Computer Science 2025-02-03 Christian Forsch , Alexander Karataev , Laura Cottatellucci

Cell-free (CF) massive multiple-input multiple-output (M-MIMO) technology plays a prominent role in the beyond fifth-generation (5G) networks. However, designing a high performance CF M-MIMO detector is a challenging task due to the…

Signal Processing · Electrical Eng. & Systems 2021-10-28 Alva Kosasih , Vera Miloslavskaya , Wibowo Hardjawana , Victor Andrean , Branka Vucetic

This letter deals with the application of the expectation propagation (EP) algorithm to turbo equalization. The EP has been successfully applied to obtain either a better approximation at the output of the equalizer or at the output of the…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Irene Santos , Juan José Murillo-Fuentes , Eva Arias-de-Reyna

Exact inference in the linear regression model with spike and slab priors is often intractable. Expectation propagation (EP) can be used for approximate inference. However, the regular sequential form of EP (R-EP) may fail to converge in…

Machine Learning · Statistics 2011-12-13 José Miguel Hernández-Lobato , Daniel Hernández-Lobato

The precoding in cell-free massive multiple-input multiple-output (MIMO) technology relies on accurate knowledge of channel responses between users (UEs) and access points (APs). Obtaining high-quality channel estimates in turn requires the…

Information Theory · Computer Science 2021-01-27 Giovanni Interdonato , Pål Frenger , Erik G. Larsson

In this paper we propose a smoothing turbo equalizer based on the expectation propagation (EP) algorithm with quite improved performance compared to the Kalman smoother, at similar complexity. In scenarios where high-order modulations…

Signal Processing · Electrical Eng. & Systems 2019-02-05 Irene Santos , Juan José Murillo-Fuentes , Eva Arias-de-Reyna

In this paper, we present a novel neural network for MIMO symbol detection. It is motivated by several important considerations in wireless communication systems; permutation equivariance and a variable number of users. The neural detector…

Signal Processing · Electrical Eng. & Systems 2021-01-26 Kumar Pratik , Bhaskar D. Rao , Max Welling

We investigate the application of the factor graph framework for blind joint channel estimation and symbol detection on time-variant linear inter-symbol interference channels. In particular, we consider the expectation maximization (EM)…

Information Theory · Computer Science 2025-02-04 Luca Schmid , Tomer Raviv , Nir Shlezinger , Laurent Schmalen