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Attack graphs provide compact representations of the attack paths that an attacker can follow to compromise network resources by analysing network vulnerabilities and topology. These representations are a powerful tool for security risk…

Cryptography and Security · Computer Science 2016-06-23 Luis Muñoz-González , Daniele Sgandurra , Andrea Paudice , Emil C. Lupu

Massive MIMO (multiple-input multiple-output) detection is an important topic in wireless communication and various machine learning based methods have been developed recently for this task. Expectation Propagation (EP) and its variants are…

Machine Learning · Computer Science 2024-09-06 Qincheng Lu , Sitao Luan , Xiao-Wen Chang

We present a stepwise approach to estimate high dimensional Gaussian graphical models. We exploit the relation between the partial correlation coefficients and the distribution of the prediction errors, and parametrize the model in terms of…

Methodology · Statistics 2018-08-21 Ginette Lafit , Francisco J. Nogales , Marcelo Ruiz , Ruben H. Zamar

The discrete nature of transmitted symbols poses challenges for achieving optimal detection in multiple-input multiple-output (MIMO) systems associated with a large number of antennas. Recently, the combination of two powerful machine…

Signal Processing · Electrical Eng. & Systems 2024-12-11 Xingyu Zhou , Le Liang , Jing Zhang , Chao-Kai Wen , Shi Jin

Gaussian belief propagation (GBP) is a recursive computation method that is widely used in inference for computing marginal distributions efficiently. Depending on how the factorization of the underlying joint Gaussian distribution is…

Information Theory · Computer Science 2018-01-22 Jian Du , Shaodan Ma , Yik-Chung Wu , Soummya Kar , José M. F. Moura

In this paper, we show that the adaptive projected subgradient method (APSM) is bounded perturbation resilient. To illustrate a potential application of this result, we propose a set-theoretic framework for MIMO detection, and we devise…

Signal Processing · Electrical Eng. & Systems 2023-05-10 Jochen Fink , Renato L. G. Cavalcante , Slawomir Stanczak

Bayesian methods for learning Gaussian graphical models offer a principled framework for quantifying model uncertainty and incorporating prior knowledge. However, their scalability is constrained by the computational cost of jointly…

Methodology · Statistics 2025-08-28 Reza Mohammadi , Marit Schoonhoven , Lucas Vogels , S. Ilker Birbil

Probabilistic computers built from p-bits offer a promising path for combinatorial optimization, but the dense connectivity required by real-world problems scales poorly in hardware. Here, we address this through graph sparsification with…

We propose a new algorithm for binary quantization based on the Belief Propagation algorithm with decimation over factor graphs of Low Density Generator Matrix (LDGM) codes. This algorithm, which we call Bias Propagation (BiP), can be…

Information Theory · Computer Science 2007-10-03 Tomas Filler , Jessica Fridrich

This paper proposes a belief propagation (BP)-based algorithm for sequential detection and estimation of multipath component (MPC) parameters based on radio signals. Under dynamic channel conditions with moving transmitter/receiver, the…

Information Theory · Computer Science 2022-05-24 Xuhong Li , Erik Leitinger , Alexander Venus , Fredrik Tufvesson

Belief Propagation (BP) is a widely used approximation for exact probabilistic inference in graphical models, such as Markov Random Fields (MRFs). In graphs with cycles, however, no exact convergence guarantees for BP are known, in general.…

Artificial Intelligence · Computer Science 2016-12-28 Wolfgang Gatterbauer

Images are the standard input for most computer vision algorithms. However, their processing often reduces to parallelizable operations applied locally and independently to individual pixels. Yet, many of these low-level raw pixel readings…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Ignacio Alzugaray , Riku Murai , Andrew Davison

Data association, the problem of reasoning over correspondence between targets and measurements, is a fundamental problem in tracking. This paper presents a graphical model formulation of data association and applies an approximate…

Artificial Intelligence · Computer Science 2014-12-16 Jason L. Williams , Roslyn A. Lau

We propose estimating Gaussian graphical models (GGMs) that are fair with respect to sensitive nodal attributes. Many real-world models exhibit unfair discriminatory behavior due to biases in data. Such discrimination is known to be…

Machine Learning · Statistics 2024-06-17 Madeline Navarro , Samuel Rey , Andrei Buciulea , Antonio G. Marques , Santiago Segarra

In this paper, we deal with low-complexity near-optimal detection/equalization in large-dimension multiple-input multiple-output inter-symbol interference (MIMO-ISI) channels using message passing on graphical models. A key contribution in…

Information Theory · Computer Science 2015-05-27 Pritam Som , Tanumay Datta , N. Srinidhi , A. Chockalingam , B. Sundar Rajan

We define two algorithms for propagating information in classification problems with pairwise relationships. The algorithms are based on contraction maps and are related to non-linear diffusion and random walks on graphs. The approach is…

Data Structures and Algorithms · Computer Science 2019-05-16 Pedro F. Felzenszwalb , Benar F. Svaiter

Belief Propagation algorithms are instruments used broadly to solve graphical model optimization and statistical inference problems. In the general case of a loopy Graphical Model, Belief Propagation is a heuristic which is quite successful…

Machine Learning · Statistics 2021-09-15 Andrii Riazanov , Yury Maximov , Michael Chertkov

We consider the general problem of finding the minimum weight $\bm$-matching on arbitrary graphs. We prove that, whenever the linear programming (LP) relaxation of the problem has no fractional solutions, then the belief propagation (BP)…

Information Theory · Computer Science 2015-03-13 Mohsen Bayati , Christian Borgs , Jennifer Chayes , Riccardo Zecchina

The rapid development of the mobile communications requires ever higher spectral efficiency. The non-orthogonal multiple access (NOMA) has emerged as a promising technology to further increase the access efficiency of wireless networks.…

Information Theory · Computer Science 2017-10-25 Weijie Yuan , Nan Wu , Qinghua Guo , Yonghui Li , Chengwen Xing , Jingming Kuang

In this paper we explore low-complexity probabilistic algorithms for soft symbol detection in high-dimensional multiple-input multiple-output (MIMO) systems. We present a novel algorithm based on the Expectation Consistency (EC) framework,…

Information Theory · Computer Science 2019-10-03 Javier Cépedes , Pablo M. Olmos , Matilde Sánchez-Fernández , Fernando Pérez-Cruz