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Deep learning has shown tremendous progress in a wide range of digital pathology and medical image classification tasks. Its integration into safe clinical decision-making support requires robust and reliable models. However, real-world…

Image and Video Processing · Electrical Eng. & Systems 2024-08-19 Abdur R. Fayjie , Jutika Borah , Florencia Carbone , Jan Tack , Patrick Vandewalle

Uncertainties from model parameters and model discrepancy from small-scale models impact the accuracy and reliability of predictions of large-scale systems. Inadequate representation of these uncertainties may result in inaccurate and…

Methodology · Statistics 2014-12-18 K. Sham Bhat , David S. Mebane , Curtis B. Storlie , Priyadarshi Mahapatra

Phase fractions, compositions and energies of the stable phases as a function of macroscopic composition, temperature, and pressure (X-T-P) are the principle correlations needed for the design of new materials and improvement of existing…

Materials Science · Physics 2020-02-04 Noah H Paulson , Brandon J Bocklund , Richard A Otis , Zi-Kui Liu , Marius Stan

Machine learning (ML) offers promising new approaches to tackle complex problems and has been increasingly adopted in chemical and materials sciences. Broadly speaking, ML models employ generic mathematical functions and attempt to learn…

Materials Science · Physics 2024-08-21 Jin Dai , Santosh Adhikari , Mingjian Wen

On top of machine learning models, uncertainty quantification (UQ) functions as an essential layer of safety assurance that could lead to more principled decision making by enabling sound risk assessment and management. The safety and…

Machine Learning · Computer Science 2024-03-28 Venkat Nemani , Luca Biggio , Xun Huan , Zhen Hu , Olga Fink , Anh Tran , Yan Wang , Xiaoge Zhang , Chao Hu

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

We present the design and development of a data stream system that captures data uncertainty from data collection to query processing to final result generation. Our system focuses on data that is naturally modeled as continuous random…

Databases · Computer Science 2009-09-15 Yanlei Diao , Boduo Li , Anna Liu , Liping Peng , Charles Sutton , Thanh Tran , Michael Zink

We study evolution equations of drift-diffusion type when various parameters are random. Motivated by applications in pedestrian dynamics, we focus on the case when the total mass is, due to boundary or reaction terms, not conserved. After…

Probability · Mathematics 2021-07-28 Greta Marino , Jan-Frederik Pietschmann , Alois Pichler

Uncertainty quantification (UQ) has increasing importance in building robust high-performance and generalizable materials property prediction models. It can also be used in active learning to train better models by focusing on getting new…

Materials Science · Physics 2022-11-14 Daniel Varivoda , Rongzhi Dong , Sadman Sadeed Omee , Jianjun Hu

Uncertainty quantification of complex technical systems is often based on a computer model of the system. As all models such a computer model is always wrong in the sense that it does not describe the reality perfectly. The purpose of this…

Systems and Control · Electrical Eng. & Systems 2020-12-18 Sebastian Kersting , Michael Kohler

We overview some recent results in the field of uncertainty quantification for kinetic equations and related problems with random inputs. Uncertainties may be due to various reasons, such as lack of knowledge on the microscopic interaction…

Numerical Analysis · Mathematics 2020-04-13 Lorenzo Pareschi

Development of robust dynamical systems and networks such as autonomous aircraft systems capable of accomplishing complex missions faces challenges due to the dynamically evolving uncertainties coming from model uncertainties, necessity to…

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

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

Numerical Analysis · Mathematics 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

Many applications of machine learning methods involve an iterative protocol in which data are collected, a model is trained, and then outputs of that model are used to choose what data to consider next. For example, one data-driven approach…

Machine Learning · Computer Science 2025-04-07 Clara Fannjiang , Stephen Bates , Anastasios N. Angelopoulos , Jennifer Listgarten , Michael I. Jordan

In chemistry, deep neural network models have been increasingly utilized in a variety of applications such as molecular property predictions, novel molecule designs, and planning chemical reactions. Despite the rapid increase in the use of…

Chemical Physics · Physics 2019-05-17 Seongok Ryu , Yongchan Kwon , Woo Youn Kim

Uncertainty quantification is essential for scientific analysis, as it allows for the evaluation and interpretation of variability and reliability in complex systems and datasets. In their original form, multivariate statistical regression…

We present a method to quantify uncertainty in the predictions made by simulations of mathematical models that can be applied to a broad class of stochastic, discrete, and differential equation models. Quantifying uncertainty is crucial for…

Machine Learning · Statistics 2015-03-05 Kyle S. Hickmann , James M. Hyman , Sara Y. Del Valle

Reliable uncertainty estimation for 3D object detection is critical for deploying safe autonomous systems, yet modern detectors remain poorly calibrated, especially under distribution shifts. Although post-hoc calibration methods address…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Till Beemelmanns , Alexey Nekrasov , Stefan Vilceanu , Jonas Steinhaus , Timo Woopen , Bastian Leibe , Lutz Eckstein