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Machine learning offers a powerful framework for validating and predicting atomic mass. We compare three improved neural network methods for representation and extrapolation for atomic mass prediction. The powerful method, adopting a…

Nuclear Theory · Physics 2025-03-18 Yiming Huang , Jinhui Chen , Jiangyong Jia , Lu-Meng Liu , Yu-Gang Ma , Chunjian Zhang

Bayesian neural networks (BNNs) have recently gained popularity due to their ability to quantify model uncertainty. However, specifying a prior for BNNs that captures relevant domain knowledge is often extremely challenging. In this work,…

Machine Learning · Computer Science 2024-02-22 Dylan Sam , Rattana Pukdee , Daniel P. Jeong , Yewon Byun , J. Zico Kolter

We introduce a class of neural networks derived from probabilistic models in the form of Bayesian belief networks. By imposing additional assumptions about the nature of the probabilistic models represented in the belief networks, we derive…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. J. Barber , J. W. Clark , C. H. Anderson

Bayesian Neural Networks (BNNs) are trained to optimize an entire distribution over their weights instead of a single set, having significant advantages in terms of, e.g., interpretability, multi-task learning, and calibration. Because of…

Machine Learning · Computer Science 2022-10-07 Jary Pomponi , Simone Scardapane , Aurelio Uncini

Bayesian learning of model parameters in neural networks is important in scenarios where estimates with well-calibrated uncertainty are important. In this paper, we propose Bayesian quantized networks (BQNs), quantized neural networks…

Machine Learning · Computer Science 2019-12-09 Jiahao Su , Milan Cvitkovic , Furong Huang

Machine Learning is a powerful tool to reveal and exploit correlations in a multi-dimensional parameter space. Making predictions from such correlations is a highly non-trivial task, in particular when the details of the underlying dynamics…

High Energy Physics - Phenomenology · Physics 2019-01-30 Christoph Englert , Peter Galler , Philip Harris , Michael Spannowsky

Exoplanet observations are currently analysed with Bayesian retrieval techniques. Due to the computational load of the models used, a compromise is needed between model complexity and computing time. Analysis of data from future facilities,…

Earth and Planetary Astrophysics · Physics 2022-06-29 Francisco Ardevol Martinez , Michiel Min , Inga Kamp , Paul I. Palmer

Deep neural networks (DNNs) with noisy weights, which we refer to as noisy neural networks (NoisyNNs), arise from the training and inference of DNNs in the presence of noise. NoisyNNs emerge in many new applications, including the wireless…

Machine Learning · Computer Science 2023-07-26 Yulin Shao , Soung Chang Liew , Deniz Gunduz

Machine learning and artificial neural networks (ANNs) have increasingly become integral to data analysis research in astrophysics due to the growing demand for fast calculations resulting from the abundance of observational data.…

General Relativity and Quantum Cosmology · Physics 2023-09-11 Ioannis Liodis , Evaggelos Smirniotis , Nikolaos Stergioulas

Neural Networks (NNs) have been extensively used for a wide spectrum of real-world regression tasks, where the goal is to predict a numerical outcome such as revenue, effectiveness, or a quantitative result. In many such tasks, the point…

Machine Learning · Computer Science 2020-06-05 Xin Qiu , Elliot Meyerson , Risto Miikkulainen

We present a Bayesian analysis to constrain the equation of state of dense nucleonic matter by exploiting the available data from symmetric nuclear matter at saturation and from observations of compact X-ray sources and from the…

High Energy Astrophysical Phenomena · Physics 2020-07-23 Silvia Traversi , Prasanta Char , Giuseppe Pagliara

Exotic nuclei, particularly those near the driplines, are at the core of one of the fundamental questions driving nuclear structure and astrophysics today: what are the limits of nuclear binding? Exotic nuclei play a critical role in both…

Nuclear Theory · Physics 2017-10-11 Raditya Utama , Jorge Piekarewicz

Predicting nuclear masses is a longstanding challenge. One path forward is machine learning (ML) which trains on experimental data, but can suffer large errors when extrapolating toward neutron-rich species. In nature, such masses shape…

Solar and Stellar Astrophysics · Physics 2025-06-10 Mengke Li , Matthew Mumpower , Nicole Vassh , William Samuel Porter , Rebecca Surman

Attempts to apply Neural Networks (NN) to a wide range of research problems have been ubiquitous and plentiful in recent literature. Particularly, the use of deep NNs for understanding complex physical and chemical phenomena has opened a…

Machine Learning · Computer Science 2021-12-01 Arijit Sehanobish , Hector H. Corzo , Onur Kara , David van Dijk

We introduce a new method, called CNNAS (convolutional neural networks for atomistic systems), for calculating the total energy of atomic systems which rivals the computational cost of empirical potentials while maintaining the accuracy of…

Materials Science · Physics 2018-03-21 Kevin Ryczko , Kyle Mills , Iryna Luchak , Christa Homenick , Isaac Tamblyn

The determination of the physical parameters of gravitational wave events is a fundamental pillar in the analysis of the signals observed by the current ground-based interferometers. Typically, this is done using Bayesian inference…

General Relativity and Quantum Cosmology · Physics 2023-11-07 M. Andrés-Carcasona , M. Martinez , Ll. M. Mir

By using a machine learning algorithms, we present an improved nuclear mass table with a root mean square deviation of less than $200$\.keV. The model is equipped with statistical error bars in order to compare with available experimental…

Nuclear Theory · Physics 2021-04-01 M. Shelley , A. Pastore

Bayesian inference promises a framework for principled uncertainty quantification of neural network predictions. Barriers to adoption include the difficulty of fully characterizing posterior distributions on network parameters and the…

Machine Learning · Statistics 2025-01-22 Katharine Fisher , Youssef Marzouk

Identification of defects or anomalies in 3D objects is a crucial task to ensure correct functionality. In this work, we combine Bayesian learning with recent developments in quantum and quantum-inspired machine learning, specifically…

Machine Learning (ML) has the potential to accelerate discovery of new materials and shed light on useful properties of existing materials. A key difficulty when applying ML in Materials Science is that experimental datasets of material…