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We consider the application of the factor graph framework for symbol detection on linear inter-symbol interference channels. Based on the Ungerboeck observation model, a detection algorithm with appealing complexity properties can be…

Information Theory · Computer Science 2022-11-28 Luca Schmid , Laurent Schmalen

We propose a novel method to optimize the structure of factor graphs for graph-based inference. As an example inference task, we consider symbol detection on linear inter-symbol interference channels. The factor graph framework has the…

Information Theory · Computer Science 2023-06-02 Lukas Rapp , Luca Schmid , Andrej Rode , Laurent Schmalen

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

Narrowing the performance gap between optimal and feasible detection in inter-symbol interference (ISI) channels, this paper proposes to use graph neural networks (GNNs) for detection that can also be used to perform joint detection and…

Information Theory · Computer Science 2025-07-16 Jannis Clausius , Marvin Rübenacke , Daniel Tandler , Stephan ten Brink

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

Many important schemes in signal processing and communications, ranging from the BCJR algorithm to the Kalman filter, are instances of factor graph methods. This family of algorithms is based on recursive message passing-based computations…

Machine Learning · Statistics 2020-02-06 Nir Shlezinger , Nariman Farsad , Yonina C. Eldar , Andrea J. Goldsmith

A graphical model is a structured representation of locally dependent random variables. A traditional method to reason over these random variables is to perform inference using belief propagation. When provided with the true data generating…

Machine Learning · Computer Science 2021-03-17 Victor Garcia Satorras , Max Welling

Message passing on factor graphs is a powerful framework for probabilistic inference, which finds important applications in various scientific domains. The most wide-spread message passing scheme is the sum-product algorithm (SPA) which…

Machine Learning · Computer Science 2023-06-06 Luca Schmid , Joshua Brenk , Laurent Schmalen

We describe a graph-based neural acceleration technique for nonnegative matrix factorization that builds upon a connection between matrices and bipartite graphs that is well-known in certain fields, e.g., sparse linear algebra, but has not…

Machine Learning · Computer Science 2022-02-02 Jens Sjölund , Maria Bånkestad

Graph-based methods have been demonstrated as one of the most effective approaches for semi-supervised learning, as they can exploit the connectivity patterns between labeled and unlabeled data samples to improve learning performance.…

Machine Learning · Computer Science 2019-07-01 Qimai Li , Xiao-Ming Wu , Han Liu , Xiaotong Zhang , Zhichao Guan

Comprehensible neural network explanations are foundations for a better understanding of decisions, especially when the input data are infused with malicious perturbations. Existing solutions generally mitigate the impact of perturbations…

Machine Learning · Computer Science 2025-02-21 Yicong Li , Kuanjiu Zhou , Shuo Yu , Qiang Zhang , Renqiang Luo , Xiaodong Li , Feng Xia

When facing graph signal processing tasks, the workhorse assumption is that the graph describing the support of the signals is known. However, in many relevant applications the available graph suffers from observation errors and…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Samuel Rey , Victor M. Tenorio , Antonio G. Marques

The design of methods for inference from time sequences has traditionally relied on statistical models that describe the relation between a latent desired sequence and the observed one. A broad family of model-based algorithms have been…

Machine Learning · Computer Science 2021-12-28 Nir Shlezinger , Nariman Farsad , Yonina C. Eldar , Andrea J. Goldsmith

Numerous neuro-symbolic approaches have recently been proposed typically with the goal of adding symbolic knowledge to the output layer of a neural network. Ideally, such losses maximize the probability that the neural network's predictions…

Machine Learning · Computer Science 2023-03-01 Kareem Ahmed , Kai-Wei Chang , Guy Van den Broeck

Multi-frame detection algorithms can effectively utilize the correlation between consecutive echoes to improve the detection performance of weak targets. Existing efficient multi-frame detection algorithms are typically based on three…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Zhihao Lin , Chang Gao , Junkun Yan , Qingfu Zhang , Bo Chen , Hongwei Liu

In this paper, we present "Graph Feature Preprocessor", a software library for detecting typical money laundering patterns in financial transaction graphs in real time. These patterns are used to produce a rich set of transaction features…

The recent developments and growing interest in neural-symbolic models has shown that hybrid approaches can offer richer models for Artificial Intelligence. The integration of effective relational learning and reasoning methods is one of…

Machine Learning · Computer Science 2020-05-07 Henrique Lemos , Pedro Avelar , Marcelo Prates , Luís Lamb , Artur Garcez

To allow for tractable probabilistic inference with respect to domain sizes, lifted probabilistic inference exploits symmetries in probabilistic graphical models. However, checking whether two factors encode equivalent semantics and hence…

Artificial Intelligence · Computer Science 2024-04-08 Malte Luttermann , Johann Machemer , Marcel Gehrke

Lifted probabilistic inference exploits symmetries in probabilistic graphical models to allow for tractable probabilistic inference with respect to domain sizes. To exploit symmetries in, e.g., factor graphs, it is crucial to identify…

Artificial Intelligence · Computer Science 2024-07-24 Malte Luttermann , Johann Machemer , Marcel Gehrke

In this paper, we show how to construct a factor graph from a network code. This provides a systematic framework for decoding using message passing algorithms. The proposed message passing decoder exploits knowledge of the underlying…

Information Theory · Computer Science 2009-04-21 Daniel Salmond , Alex Grant , Terence Chan , Ian Grivell
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