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Despite exceptional predictive performance of Deep sequence models (DSMs), the main concern of their deployment centers around the lack of uncertainty awareness. In contrast, probabilistic models quantify the uncertainty associated with…

Machine Learning · Computer Science 2026-03-03 Wenlong Chen

A stunning range of substructures in the dust of protoplanetary disks is routinely observed across a range of wavelengths. These gaps, rings and spirals are highly indicative of a population of unseen planets, hinting at the possibility of…

Galaxies are theorized to form and co-evolve with their dark matter halos, such that their stellar masses and halo masses should be well-correlated. However, it is not known whether other observable galaxy features, such as their…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-19 Austin J. Larson , John F. Wu , Craig Jones

We develop a tool, which we name Protoplanetary Disk Operator Network (PPDONet), that can predict the solution of disk-planet interactions in protoplanetary disks in real-time. We base our tool on Deep Operator Networks (DeepONets), a class…

Earth and Planetary Astrophysics · Physics 2023-06-28 Shunyuan Mao , Ruobing Dong , Lu Lu , Kwang Moo Yi , Sifan Wang , Paris Perdikaris

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

Machine Learning · Computer Science 2019-04-03 Konstantin Posch , Jürgen Pilz

Learning complex network dynamics is fundamental for understanding, modeling, and controlling real-world complex systems. Though great efforts have been made to predict the future states of nodes on networks, the capability of capturing…

Social and Information Networks · Computer Science 2025-03-04 Ruikun Li , Huandong Wang , Jinghua Piao , Qingmin Liao , Yong Li

Bayesian learning has been recently considered as an effective means of accounting for uncertainty in trained deep network parameters. This is of crucial importance when dealing with small or sparse training datasets. On the other hand,…

Machine Learning · Computer Science 2018-02-13 Harris Partaourides , Sotirios Chatzis

The physics governing the boundary between the most massive neutron stars (NSs) and the least massive black holes (BHs) is currently uncertain, but could potentially be constrained with new observations. While NSs have been observed with…

Instrumentation and Methods for Astrophysics · Physics 2026-05-04 Nayyer Raza , Man Leong Chan , Daryl Haggard , Ashish Mahabal , Jess McIver , Audrey Durand , Alexandre Larouche , Hadi Moazen

Aims: We investigate the behaviour of dust in protoplanetary disks under the action of gas drag in the presence of a planet. Our goal is twofold: to determine the spatial distribution of dust depending on grain size and planet mass, and…

Astrophysics · Physics 2009-11-13 L. Fouchet , S. T. Maddison , J. -F. Gonzalez , J. R. Murray

Deep learning has been successfully applied to the segmentation of 3D Computed Tomography (CT) scans. Establishing the credibility of these segmentations requires uncertainty quantification (UQ) to identify untrustworthy predictions. Recent…

Image and Video Processing · Electrical Eng. & Systems 2020-04-03 Tyler LaBonte , Carianne Martinez , Scott A. Roberts

Emission from the interstellar medium can be a significant contaminant of measurements of the intensity and polarization of the cosmic microwave background (CMB). For planning CMB observations, and for optimizing foreground-cleaning…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-21 Ben Thorne , Lloyd Knox , Karthik Prabhu

We introduce a novel machine learning framework for estimating the Bayesian posteriors of morphological parameters for arbitrarily large numbers of galaxies. The Galaxy Morphology Posterior Estimation Network (GaMPEN) estimates values and…

We present a new method by which the total masses of galaxies including dark matter can be estimated from the kinematics of their globular cluster systems (GCSs). In the proposed method, we apply the convolutional neural networks (CNNs) to…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Rajvir Kaur , Kenji Bekki , Ghulam Mubashar Hassan , Amitava Datta

This paper addresses the need for deep learning models to integrate well-defined constraints into their outputs, driven by their application in surrogate models, learning with limited data and partial information, and scenarios requiring…

Machine Learning · Statistics 2024-07-02 Rahul Rathnakumar , Jiayu Huang , Hao Yan , Yongming Liu

The inferred dust masses from Class II protoplanetary disk observations are lower than or equal to the masses of the observed exoplanet systems. This poses the question of how planets form if their natal environments do not contain enough…

Earth and Planetary Astrophysics · Physics 2025-01-29 Sofia Savvidou , Bertram Bitsch

We present a new Bayesian methodology to learn the unknown material density of a given sample by inverting its two-dimensional images that are taken with a Scanning Electron Microscope. An image results from a sequence of projections of the…

Applications · Statistics 2014-03-06 Dalia Chakrabarty , Fabio Rigat , Nare Gabrielyan , Richard Beanland , Shashi Paul

How do dust grains in protoplanetary disks overcome rapid radial drift and grow from micron size particles to planets is not well understood. The key is to search for evidence of dust accumulation and growth as a function of radius in the…

Earth and Planetary Astrophysics · Physics 2022-12-14 Dafa Li , Yao Liu , Hongchi Wang , Yao Wang , Yuehui Ma

Partition of unity networks (POU-Nets) have been shown capable of realizing algebraic convergence rates for regression and solution of PDEs, but require empirical tuning of training parameters. We enrich POU-Nets with a Gaussian noise model…

Machine Learning · Computer Science 2021-07-08 Nat Trask , Mamikon Gulian , Andy Huang , Kookjin Lee

A deep neural network (DNN) model consisting of two hidden layers was proposed for predicting the immediate environments of specific atoms based on X-ray absorption near-edge spectra (XANES). The output layer of the DNN can be adjusted to…

Computational Physics · Physics 2019-05-13 Liang Li , Mindren Lu , Maria K. Y. Chan

Robust quantification of predictive uncertainty is critical for understanding factors that drive weather and climate outcomes. Ensembles provide predictive uncertainty estimates and can be decomposed physically, but both physics and machine…