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This paper presents a method to simulate the thermal behavior of 3D systems using a graph neural network. The method discussed achieves a significant speed-up with respect to a traditional finite-element simulation. The graph neural network…

Computational Engineering, Finance, and Science · Computer Science 2022-09-29 Helios Sanchis-Alepuz , Monika Stipsitz

A method to reconstruct fields, source strengths and physical parameters based on Gaussian process regression is presented for the case where data are known to fulfill a given linear differential equation with localized sources. The…

Data Analysis, Statistics and Probability · Physics 2019-09-10 Christopher G. Albert

The particle filter is one of the most successful methods for state inference and identification of general non-linear and non-Gaussian models. However, standard particle filters suffer from degeneracy of the particle weights, in particular…

Computation · Statistics 2022-10-27 Anna Wigren , Lawrence Murray , Fredrik Lindsten

The radio network model is a well-studied model of wireless, multi-hop networks. However, radio networks make the strong assumption that messages are delivered deterministically. The recently introduced noisy radio network model relaxes…

Data Structures and Algorithms · Computer Science 2019-05-20 Keren Censor-Hillel , Bernhard Haeupler , D Ellis Hershkowitz , Goran Zuzic

Many state-of-the-art hyperparameter optimization (HPO) algorithms rely on model-based optimizers that learn surrogate models of the target function to guide the search. Gaussian processes are the de facto surrogate model due to their…

Machine Learning · Computer Science 2023-05-08 David Salinas , Jacek Golebiowski , Aaron Klein , Matthias Seeger , Cedric Archambeau

Sensor noise sources cause differences in the signal recorded across pixels in a single image and across multiple images. This paper presents a Bayesian approach to decomposing and characterizing the sensor noise sources involved in imaging…

This study introduces a mediation analysis framework when the mediator is a graph. A Gaussian covariance graph model is assumed for graph representation. Causal estimands and assumptions are discussed under this representation. With a…

Methodology · Statistics 2023-07-11 Yixi Xu , Yi Zhao

We propose a Gaussian mixture model for background subtraction in infrared imagery. Following a Bayesian approach, our method automatically estimates the number of Gaussian components as well as their parameters, while simultaneously it…

Computer Vision and Pattern Recognition · Computer Science 2015-06-30 Konstantinos Makantasis , Anastasios Doulamis , Nikolaos Doulamis

Infinitely wide or deep neural networks (NNs) with independent and identically distributed (i.i.d.) parameters have been shown to be equivalent to Gaussian processes. Because of the favorable properties of Gaussian processes, this…

Machine Learning · Computer Science 2026-03-24 Steven Adams , Andrea Patanè , Morteza Lahijanian , Luca Laurenti

We propose a shape fitting/registration method based on a Gaussian Processes formulation, suitable for shapes with extensive regions of missing data. Gaussian Processes are a proven powerful tool, as they provide a unified setting for shape…

Computer Vision and Pattern Recognition · Computer Science 2025-07-24 Filipa Valdeira , Ricardo Ferreira , Alessandra Micheletti , Cláudia Soares

Representations of multivariate functions with low-dimensional functions that depend on subsets of original coordinates (corresponding of different orders of coupling) are useful in quantum dynamics and other applications, especially where…

Machine Learning · Computer Science 2024-06-26 Sergei Manzhos , Manabu Ihara

For a physical layer message authentication procedure based on the comparison of channel estimates obtained from the received messages, we focus on an outer bound on the type I/II error probability region. Channel estimates are modelled as…

Information Theory · Computer Science 2016-10-05 Augusto Ferrante , Nicola Laurenti , Chiara Masiero , Michele Pavon , Stefano Tomasin

The Gaussian process (GP) regression model is a widely employed surrogate modeling technique for computer experiments, offering precise predictions and statistical inference for the computer simulators that generate experimental data.…

Methodology · Statistics 2024-04-02 Lulu Kang , Yuanxing Cheng , Yiwei Wang , Chun Liu

We propose a data-efficient Gaussian process-based Bayesian approach to the semi-supervised learning problem on graphs. The proposed model shows extremely competitive performance when compared to the state-of-the-art graph neural networks…

Machine Learning · Computer Science 2018-10-15 Yin Cheng Ng , Nicolo Colombo , Ricardo Silva

Gaussian processes (GPs) are widely used as surrogate models for emulating computer code, which simulate complex physical phenomena. In many problems, additional boundary information (i.e., the behavior of the phenomena along input…

Methodology · Statistics 2019-08-26 Liang Ding , Simon Mak , C. F. Jeff Wu

It is well known that temperature variations and acoustic noise affect ultrastable frequency dissemination along optical fiber. Active stabilization techniques are in general adopted to compensate for the fiber-induced phase noise. However,…

This work investigates the parameter estimation performance of super-resolution line spectral estimation using atomic norm minimization. The focus is on analyzing the algorithm's accuracy of inferring the frequencies and complex magnitudes…

Information Theory · Computer Science 2018-10-24 Qiuwei Li , Gongguo Tang

In this work, we use real-world data in order to evaluate and validate a machine learning (ML)-based algorithm for physical layer functionalities. Specifically, we apply a recently introduced Gaussian mixture model (GMM)-based algorithm in…

Information Theory · Computer Science 2022-07-29 Nurettin Turan , Benedikt Fesl , Moritz Grundei , Michael Koller , Wolfgang Utschick

The use of Gaussian processes (GPs) is a common approach to account for correlated noise in exoplanet time series, particularly for transmission and emission spectroscopy. This analysis has typically been performed for each wavelength…

Earth and Planetary Astrophysics · Physics 2024-06-05 Mark Fortune , Neale P. Gibson , Daniel Foreman-Mackey , Thomas M. Evans-Soma , Cathal Maguire , Swaetha Ramkumar

The ability to predict future states is crucial to informed decision-making while interacting with dynamic environments. With cameras providing a prevalent and information-rich sensing modality, the problem of predicting future states from…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Nikhil U. Shinde , Xiao Liang , Florian Richter , Michael C. Yip