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It is critical that machine learning (ML) model predictions be trustworthy for high-throughput catalyst discovery approaches. Uncertainty quantification (UQ) methods allow estimation of the trustworthiness of an ML model, but these methods…

Machine Learning · Computer Science 2023-02-07 Cameron Gruich , Varun Madhavan , Yixin Wang , Bryan Goldsmith

Biopharmaceutical products, particularly monoclonal antibodies (mAbs), have gained prominence in the pharmaceutical market due to their high specificity and efficacy. As these products are projected to constitute a substantial portion of…

Quantitative Methods · Quantitative Biology 2024-09-05 Thanh Tung Khuat , Robert Bassett , Ellen Otte , Bogdan Gabrys

Uncertainty Quantification (UQ) is a promising approach to improve model reliability, yet quantifying the uncertainty of Large Language Models (LLMs) is non-trivial. In this work, we establish a connection between the uncertainty of LLMs…

Computation and Language · Computer Science 2025-10-16 Mingda Li , Xinyu Li , Weinan Zhang , Longxuan Ma

Inverse design is a central goal in much of science and engineering, including frequency-selective surfaces (FSS) that are critical to microelectronics for telecommunications and optical metamaterials. Traditional surrogate-assisted…

Using a new Bayesian method for solving inverse quantum problems, potentials of quantum systems are reconstructed from coordinate measurements in non-stationary states. The approach is based on two basic inputs: 1. a likelihood model,…

Quantum Physics · Physics 2007-05-23 J. C. Lemm

Simulations using machine learning (ML) models and mechanistic models are often run to inform decision-making processes. Uncertainty estimates of simulation results are critical to the decision-making process because simulation results of…

Machine Learning · Computer Science 2023-08-08 Babajide Kolade

We propose a Bayesian uncertainty quantification method for large-scale imaging inverse problems. Our method applies to all Bayesian models that are log-concave, where maximum-a-posteriori (MAP) estimation is a convex optimization problem.…

Methodology · Statistics 2018-11-07 Audrey Repetti , Marcelo Pereyra , Yves Wiaux

Powder bed fusion (PBF) is an emerging metal additive manufacturing (AM) technology that enables rapid fabrication of complex geometries. However, defects such as pores and balling may occur and lead to structural unconformities, thus…

Computational Engineering, Finance, and Science · Computer Science 2024-09-23 Jiarui Xie , Zhuo Yang , Chun-Chun Hu , Haw-Ching Yang , Yan Lu , Yaoyao Fiona Zhao

We introduce a physics-informed Bayesian Neural Network (BNN) with flow approximated posteriors using multiplicative normalizing flows (MNF) for detailed uncertainty quantification (UQ) at the physics event-level. Our method is capable of…

Machine Learning · Computer Science 2023-10-05 Cristiano Fanelli , James Giroux

Atomistic simulations are an important tool in materials modeling. Interatomic potentials (IPs) are at the heart of such molecular models, and the accuracy of a model's predictions depends strongly on the choice of IP. Uncertainty…

This study investigates uncertainty quantification (UQ) using quantum-classical hybrid machine learning (ML) models for applications in complex and dynamic fields, such as attaining resiliency in supply chain digital twins and financial…

Bayesian quadrature (BQ) is a sample-efficient probabilistic numerical method to solve integrals of expensive-to-evaluate black-box functions, yet so far,active BQ learning schemes focus merely on the integrand itself as information source,…

Machine Learning · Computer Science 2021-02-15 Alexandra Gessner , Javier Gonzalez , Maren Mahsereci

Using a cyclotron based model problem, we demonstrate for the first time the applicability and usefulness of a uncertainty quantification (UQ) approach in order to construct surrogate models for quantities such as emittance, energy spread…

Accelerator Physics · Physics 2018-12-13 Andreas Adelmann

We consider an unknown multivariate function representing a system-such as a complex numerical simulator-taking both deterministic and uncertain inputs. Our objective is to estimate the set of deterministic inputs leading to outputs whose…

Machine Learning · Statistics 2024-12-09 Romain Ait Abdelmalek-Lomenech , Julien Bect , Vincent Chabridon , Emmanuel Vazquez

Uncertainty quantification (UQ) is important for reliability assessment and enhancement of machine learning models. In deep learning, uncertainties arise not only from data, but also from the training procedure that often injects…

Machine Learning · Statistics 2023-11-13 Ziyi Huang , Henry Lam , Haofeng Zhang

A central challenge in scientific machine learning (ML) is the correct representation of physical systems governed by multi-regime behaviours. In these scenarios, standard data analysis techniques often fail to capture the nature of the…

Machine Learning · Computer Science 2026-02-26 Michele Cazzola , Alberto Ghione , Lucia Sargentini , Julien Nespoulous , Riccardo Finotello

Molecular dynamics simulation is now a widespread approach for understanding complex systems on the atomistic scale. It finds applications from physics and chemistry to engineering, life and medical science. In the last decade, the approach…

Computational Physics · Physics 2021-04-28 Shunzhou Wan , Robert C. Sinclair , Peter V. Coveney

Consistency-based methods have emerged as an effective approach to uncertainty quantification (UQ) in large language models. These methods typically rely on several generations obtained via multinomial sampling, measuring their agreement…

Machine learning (ML) surrogate models are increasingly used in engineering analysis and design to replace computationally expensive simulation models, significantly reducing computational cost and accelerating decision-making processes.…

Machine Learning · Statistics 2025-07-22 Xiaoping Du

Inclinometer probes are devices that can be used to measure deformations within earthwork slopes. This paper demonstrates a novel application of Bayesian techniques to real-world inclinometer data, providing both anomaly detection and…

Machine Learning · Computer Science 2023-07-04 David K. E. Green , Adam Jaspan