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The success of Deep Neural Networks (DNNs) highly depends on data quality. Moreover, predictive uncertainty makes high performing DNNs risky for real-world deployment. In this paper, we aim to address these two issues by proposing a unified…

Machine Learning · Computer Science 2020-09-28 Krishanu Sarker , Xiulong Yang , Yang Li , Saeid Belkasim , Shihao Ji

Neural Radiance Fields (NeRF) has become a popular framework for learning implicit 3D representations and addressing different tasks such as novel-view synthesis or depth-map estimation. However, in downstream applications where decisions…

Computer Vision and Pattern Recognition · Computer Science 2021-09-29 Jianxiong Shen , Adria Ruiz , Antonio Agudo , Francesc Moreno-Noguer

We present a deep learning framework for quantifying and propagating uncertainty in systems governed by non-linear differential equations using physics-informed neural networks. Specifically, we employ latent variable models to construct…

Machine Learning · Statistics 2019-06-26 Yibo Yang , Paris Perdikaris

Neural Processes (NPs) are a popular class of approaches for meta-learning. Similar to Gaussian Processes (GPs), NPs define distributions over functions and can estimate uncertainty in their predictions. However, unlike GPs, NPs and their…

Machine Learning · Computer Science 2023-02-09 Tung Nguyen , Aditya Grover

We calculate nuclear parton distribution functions (PDFs), using the constituent quark model. We find the bounded valon distributions in a nuclear to be related to free valon distributions in a nucleon. By using improved bounded valon…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Atashbar Tehrani , Ali N. Khorramian , A. Mirjalili

Despite recent advances and focus on rigorous uncertainty quantification for microscopic models of quantum many-body systems, the uncertainty on the dynamics of those systems has been under-explored. To address this, we have used…

Nuclear Theory · Physics 2022-11-30 K. Godbey , A. S. Umar , C. Simenel

Obtaining reliable uncertainty estimates of neural network predictions is a long standing challenge. Bayesian neural networks have been proposed as a solution, but it remains open how to specify their prior. In particular, the common…

Machine Learning · Statistics 2019-07-02 Danijar Hafner , Dustin Tran , Timothy Lillicrap , Alex Irpan , James Davidson

This guide offers suggestions/insights on uncertainty quantification of nuclear structure models. We discuss a simple approach to statistical error estimates, strategies to assess systematic errors, and show how to uncover…

Nuclear Theory · Physics 2014-05-26 J. Dobaczewski , W. Nazarewicz , P. -G. Reinhard

We formulate a microscopic theory of the decay of a compound nucleus through fission which generalizes earlier microscopic approaches of fission dynamics performed in the framework of the adiabatic hypothesis. It is based on the constrained…

Nuclear Theory · Physics 2010-02-17 K. Dietrich , J. -J. Niez , J. -F. Berger

This work is focussed on the inversion task of inferring the distribution over parameters of interest leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by increasing…

Machine Learning · Statistics 2026-05-06 Arnaud Vadeboncoeur , Mark Girolami , Andrew M. Stuart

A model is developed, based on the density functional perturbation theory and the inverse Kohn-Sham method, that can be used to improve relativistic nuclear energy density functionals towards an exact but unknown Kohn-Sham…

Nuclear Theory · Physics 2021-04-28 Giacomo Accorto , Tomoya Naito , Haozhao Liang , Tamara Niksic , Dario Vretenar

The study aims to explore the mechanism of heavy-ion fusion using various effective nucleon-nucleon (NN) interactions and nuclear density distributions. The nuclear potentials are obtained by folding the relativistic effective NN…

Nuclear Theory · Physics 2025-05-14 Shilpa Rana , Raj Kumar , M. Bhuyan

Neutrino-nucleus coherent elastic scattering provides a theoretically appealing way to measure the neutron part of nuclear form factors. Using an expansion of form factors into moments, we show that neutrinos from stopped pions can probe…

Nuclear Theory · Physics 2013-05-30 Kelly Patton , Jonathan Engel , Gail C. McLaughlin , Nicolas Schunck

Black-box machine learning models are now routinely used in high-risk settings, like medical diagnostics, which demand uncertainty quantification to avoid consequential model failures. Conformal prediction is a user-friendly paradigm for…

Machine Learning · Computer Science 2022-12-08 Anastasios N. Angelopoulos , Stephen Bates

In this paper, we derive simple and general perturbative formulas for the flavor flux ratios $R_{\alpha\beta}=\phi_{\nu_\alpha}/\phi_{\nu_\beta}$ that could be measured at neutrino telescopes. We discuss in detail the role of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Davide Meloni , Tommy Ohlsson

Uncertainty quantification in medical images has become an essential addition to segmentation models for practical application in the real world. Although there are valuable developments in accurate uncertainty quantification methods using…

Image and Video Processing · Electrical Eng. & Systems 2023-05-02 Christiaan G. A. Viviers , Amaan M. M. Valiuddin , Peter H. N. de With , Fons van der Sommen

Constructing probability densities for inference in high-dimensional spectral data is often intractable. In this work, we use normalizing flows on structured spectral latent spaces to estimate such densities, enabling downstream inference…

Machine Learning · Computer Science 2021-08-20 Katiana Kontolati , Natalie Klein , Nishant Panda , Diane Oyen

Noisy measurements of a physical unclonable function (PUF) are used to store secret keys with reliability, security, privacy, and complexity constraints. A new set of low-complexity and orthogonal transforms with no multiplication is…

Signal Processing · Electrical Eng. & Systems 2020-04-07 Onur Günlü , Rafael F. Schaefer

A protocol for transferring an unknown single qubit state has quantum features when the average fidelity of the outcomes is greater than 2/3. We use the probabilistic and unambiguous state extraction scheme as a mechanism to redistribute…

Quantum Physics · Physics 2016-06-22 Luis Roa , Robinson Gómez , Ariana Muñoz , Gautam Rai

We investigate the dynamics of a quantized vortex and a nuclear impurity immersed in a neutron superfluid within a fully microscopic time-dependent three-dimensional approach. The magnitude and even the sign of the force between the…

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