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The equation of state (EOS) of dense nuclear matter is a key factor to determine the internal structure and properties of neutron stars. However, the EOS of high-density nuclear matter has great uncertainty mainly because the terrestrial…

Nuclear Theory · Physics 2023-12-27 Zehan Wu , Dehua Wen

Strong lensing of background galaxies provides important information about the matter distribution around lens galaxies. Traditional modelling of such strong lenses is both time and resource intensive. Fast and automated analysis methods…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-09 Priyanka Gawade , Anupreeta More , Surhud More , Akisato Kimura , Alessandro Sonnenfeld , Masamune Oguri , Naoki Yoshida

The high-density behavior of nuclear matter is analyzed within a relativistic mean-field description with non-linear meson interactions. To assess the model parameters and their output, a Bayesian inference technique is used. The Bayesian…

Nuclear Theory · Physics 2023-06-09 Tuhin Malik , Márcio Ferreira , Milena Bastos Albino , Constança Providência

Bayesian Neural Networks (BNNs) offer a mathematically grounded framework to quantify the uncertainty of model predictions but come with a prohibitive computation cost for both training and inference. In this work, we show a novel network…

Machine Learning · Computer Science 2022-02-10 Duo Wang , Yiren Zhao , Ilia Shumailov , Robert Mullins

Deep learning models have exhibited superior performance in predictive tasks with the explosively increasing Electronic Health Records (EHR). However, due to the lack of transparency, behaviors of deep learning models are difficult to…

Machine Learning · Computer Science 2019-07-16 Riyi Qiu , Yugang Jia , Mirsad Hadzikadic , Michael Dulin , Xi Niu , Xin Wang

We present a physics-informed Bayesian neural-network framework to infer neutron-star equations of state from theoretical priors and to propagate the associated uncertainties to stellar observables. Trained on a large and representative…

High Energy Astrophysical Phenomena · Physics 2026-04-29 J. D. Baker , C. A. Bertulani , R. V. Lobato

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

Machine Learning · Statistics 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

Deep Bayesian neural network has aroused a great attention in recent years since it combines the benefits of deep neural network and probability theory. Because of this, the network can make predictions and quantify the uncertainty of the…

Machine Learning · Computer Science 2019-03-25 Yikuan Li , Yajie Zhu

Neural Networks (NNs) have provided state-of-the-art results for many challenging machine learning tasks such as detection, regression and classification across the domains of computer vision, speech recognition and natural language…

Machine Learning · Statistics 2026-04-21 Ethan Goan , Clinton Fookes

In Hezaveh et al. 2017 we showed that deep learning can be used for model parameter estimation and trained convolutional neural networks to determine the parameters of strong gravitational lensing systems. Here we demonstrate a method for…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-29 Laurence Perreault Levasseur , Yashar D. Hezaveh , Risa H. Wechsler

Mergers of binary neutron stars (BNSs) emit signals in both the gravitational-wave (GW) and electromagnetic (EM) spectra. Famously, the 2017 multi-messenger observation of GW170817 led to scientific discoveries across cosmology, nuclear…

In recent times, neural networks have become a powerful tool for the analysis of complex and abstract data models. However, their introduction intrinsically increases our uncertainty about which features of the analysis are model-related…

Machine Learning · Statistics 2020-11-09 Tom Charnock , Laurence Perreault-Levasseur , François Lanusse

We carry out a Bayesian analysis of dark matter (DM) direct detection data to determine particle model parameters using the Truncated Marginal Neural Ratio Estimation (TMNRE) machine learning technique. TMNRE avoids an explicit calculation…

High Energy Physics - Phenomenology · Physics 2025-01-17 David Cerdeno , Martin de los Rios , Andres D. Perez

Convolutional neural networks (CNNs) provide flexible function approximations for a wide variety of applications when the input variables are in the form of images or spatial data. Although CNNs often outperform traditional statistical…

Methodology · Statistics 2024-05-24 Yeseul Jeon , Won Chang , Seonghyun Jeong , Sanghoon Han , Jaewoo Park

Neural networks (NNs) are employed to predict equations of state from a given isotropic pair potential using the virial expansion of the pressure. The NNs are trained with data from molecular dynamics simulations of monoatomic gases and…

Soft Condensed Matter · Physics 2024-06-19 Fabian Berressem , Arash Nikoubashman

Modern nuclear data evaluation increasingly requires not only accurate scattering calculations, but also efficient methods for uncertainty quantification and parameter optimization, tasks that benefit from differentiable solvers amenable to…

Nuclear Theory · Physics 2026-05-28 Jin Lei

We consider inference from non-random samples in data-rich settings where high-dimensional auxiliary information is available both in the sample and the target population, with survey inference being a special case. We propose a regularized…

Methodology · Statistics 2021-04-13 Yutao Liu , Andrew Gelman , Qixuan Chen

We consider a variant of matrix completion where entries are revealed in a biased manner. We wish to understand the extent to which such bias can be exploited in improving predictions. Towards that, we propose a natural model where the…

Machine Learning · Computer Science 2025-01-03 Yassir Jedra , Sean Mann , Charlotte Park , Devavrat Shah

The equation of state of dense matter determines the structure of neutron stars, their typical radii, and maximum masses. Recent improvements in theoretical modeling of nuclear forces from the low-energy effective field theory of QCD has…

Nuclear Theory · Physics 2019-09-04 Jeremy W. Holt , Yeunhwan Lim

Because of the electromagnetic radiation produced during the merger, compact binary coalescences with neutron stars may result in multi-messenger observations. In order to follow up on the gravitational-wave signal with electromagnetic…