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We propose an original particle-based implementation of the Loopy Belief Propagation (LPB) algorithm for pairwise Markov Random Fields (MRF) on a continuous state space. The algorithm constructs adaptively efficient proposal distributions…

Computation · Statistics 2015-06-22 Thibaut Lienart , Yee Whye Teh , Arnaud Doucet

In this paper we review the application of the matched filter (MF) technique and its application to detect weak, deterministic, smooth signals in a stationary, random, Gaussian noise. This is particular suitable in astronomy to detect…

Instrumentation and Methods for Astrophysics · Physics 2021-07-21 Roberto Vio , Paola Andreani

Hybrid methods for simulating rarefied gas flows reduce computational cost by coupling a particle-based model, typically the direct simulation Monte Carlo (DSMC) method, to a continuum-based solver, i.e. a computational fluid dynamics (CFD)…

Fluid Dynamics · Physics 2026-04-28 Arshad Kamal , Arun K. Chinnappan , James R. Kermode , Duncan A. Lockerby

Discrete Markov random fields are undirected graphical models that capture complex conditional dependencies between discrete variables. Conducting exact posterior inference in these models is often computationally challenging because…

Methodology · Statistics 2026-03-10 Giuseppe Arena , Maarten Marsman

Factorization machines (FM) are a popular model class to learn pairwise interactions by a low-rank approximation. Different from existing FM-based approaches which use a fixed rank for all features, this paper proposes a Rank-Aware FM…

Machine Learning · Computer Science 2019-05-21 Xiaoshuang Chen , Yin Zheng , Jiaxing Wang , Wenye Ma , Junzhou Huang

The Fields of Experts (FoE) image prior model, a filter-based higher-order Markov Random Fields (MRF) model, has been shown to be effective for many image restoration problems. Motivated by the successes of FoE-based approaches, in this…

Computer Vision and Pattern Recognition · Computer Science 2015-06-19 Yunjin Chen , Wensen Feng , René Ranftl , Hong Qiao , Thomas Pock

Grant-free random access is promising for massive connectivity with sporadic transmissions in massive machine type communications (mMTC), where the hand-shaking between the access point (AP) and users is skipped, leading to high access…

Information Theory · Computer Science 2023-04-11 Zhengdao Yuan , Fei Liu , Qinghua Guo , Xiaojun Yuan , Zhongyong Wang , Yonghui Li

Blind algorithms for multiple-input multiple-output (MIMO) signals interception have recently received considerable attention because of their important applications in modern civil and military communication fields. One key step in the…

Information Theory · Computer Science 2017-03-07 Mohammad Rida Bahloul , Mohd Zuki Yusoff , Abdel-Haleem Abdel-Aty , M Naufal M Saad

Massive spatial modulation (SM)-MIMO, which employs massive low-cost antennas but few power-hungry transmit radio frequency (RF) chains at the transmitter, is recently proposed to provide both high spectrum efficiency and energy efficiency…

Information Theory · Computer Science 2016-11-15 Zhen Gao , Linglong Dai , Chenhao Qi , Chau Yuen , Zhaocheng Wang

We consider general discrete Markov Random Fields(MRFs) with additional bottleneck potentials which penalize the maximum (instead of the sum) over local potential value taken by the MRF-assignment. Bottleneck potentials or analogous…

Computer Vision and Pattern Recognition · Computer Science 2019-08-19 Ahmed Abbas , Paul Swoboda

Centered Gaussian random fields (GRFs) indexed by compacta such as smooth, bounded Euclidean domains or smooth, compact and orientable manifolds are determined by their covariance operators. We consider centered GRFs given as variational…

Statistics Theory · Mathematics 2021-03-09 Helmut Harbrecht , Lukas Herrmann , Kristin Kirchner , Christoph Schwab

Cell-free massive MIMO provides ubiquitous connectivity for multiple users, and implementation using radio stripes is very efficient. This paper proposes a parallel scheme for radio stripes to allow access point to do signal processing…

Information Theory · Computer Science 2020-12-22 Yihua Ma , Zhifeng Yuan , Guanghui Yu , Yijian Chen

Rapid identification, characterization, and localization of gravitational waves from binary compact object mergers can enable well-informed follow-on multimessenger observations. In this work, we investigate a small modification to the RIFT…

General Relativity and Quantum Cosmology · Physics 2023-01-05 A. B. Yelikar , V. Delfavero , R. O'Shaughnessy

Bayesian inference for models with intractable likelihoods, such as Markov random fields, poses a fundamental computational challenge due to the tradeoff between inferential accuracy and computational cost. Various MCMC methods have been…

Methodology · Statistics 2026-04-01 Laura Bazahica , Alejandra Avalos-Pacheco , Matthew Moores , Lassi Roininen

This paper presents a linear complexity iterative rake detector for the recently proposed orthogonal time frequency space (OTFS) modulation scheme. The basic idea is to extract and coherently combine the received multipath components of the…

Signal Processing · Electrical Eng. & Systems 2021-01-07 Tharaj Thaj , Emanuele Viterbo

Random Feature (RF) models are used as efficient parametric approximations of kernel methods. We investigate, by means of random matrix theory, the connection between Gaussian RF models and Kernel Ridge Regression (KRR). For a Gaussian RF…

Machine Learning · Statistics 2020-09-24 Arthur Jacot , Berfin Şimşek , Francesco Spadaro , Clément Hongler , Franck Gabriel

We introduce a new perspective on spectral dimensionality reduction which views these methods as Gaussian Markov random fields (GRFs). Our unifying perspective is based on the maximum entropy principle which is in turn inspired by maximum…

Artificial Intelligence · Computer Science 2012-01-05 Neil D. Lawrence

We consider move-making algorithms for energy minimization of multi-label Markov Random Fields (MRFs). Since this is not a tractable problem in general, a commonly used heuristic is to minimize over subsets of labels and variables in an…

Computer Vision and Pattern Recognition · Computer Science 2018-11-26 Richard Hartley , Thalaiyasingam Ajanthan

This paper proposes approaches for the analysis of multiple changepoint models when dependency in the data is modelled through a hierarchical Gaussian Markov random field. Integrated nested Laplace approximations are used to approximate…

Computation · Statistics 2015-03-17 Jason Wyse , Nial Friel , Håvard Rue

We derive two sufficient conditions for a function of a Markov random field (MRF) on a given graph to be a MRF on the same graph. The first condition is information-theoretic and parallels a recent information-theoretic characterization of…

Information Theory · Computer Science 2021-07-01 Bernhard C. Geiger , Ali Al-Bashabsheh
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